Chapter 10b: Descriptive Statistics for Time-Varying Variables



Summarize



[Chapter10b] C:\Dropbox\PilesOfVariance\Chapter10b\SPSS\SPSS_Chapter10b.sav


Case Processing SummaryCase Processing Summary, table, 3 levels of column headers and 1 levels of row headers, table with 7 columns and 6 rows
  Cases
Included Excluded Total
N Percent N Percent N Percent
symptoms: Time-Varying Physical Symptoms 2752 100.0% 0 0.0% 2752 100.0%
posaff: Time-Varying Positive Affect 2747 99.8% 5 0.2% 2752 100.0%
ReportReport, table, 1 levels of column headers and 1 levels of row headers, table with 3 columns and 7 rows
  symptoms: Time-Varying Physical Symptoms posaff: Time-Varying Positive Affect
N 2752 2747
Mean 1.66 2.58
Std. Deviation 1.430 .732
Minimum 0 0
Maximum 5 4


Ch 10b: Empty Means, Single-Level Model for the Variance for Symptoms; Independent Observations



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 2 rows
A(n) FIXED subcommand has no specifications and will therefore be ignored.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 6 rows
  Number of Levels Number of Parameters
Fixed Effects Intercept 1 1
Residual   1
Total 1 2
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 9776.092
Akaike's Information Criterion (AIC) 9780.092
Hurvich and Tsai's Criterion (AICC) 9780.097
Bozdogan's Criterion (CAIC) 9793.932
Schwarz's Bayesian Criterion (BIC) 9791.932
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 4 rows
Source Numerator df Denominator df F Sig.
Intercept 1 2752 3716.023 .000
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 5 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1.660974 .027247 2752 60.959 .000 1.607547 1.714401
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 1 levels of row headers, table with 7 columns and 5 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual 2.043128 .055079 37.094 .000 1.937978 2.153984
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Ch 10b: Empty Means, Two-Level Model for the Variance for Symptoms; Sessions Within Burst*Persons



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
A(n) FIXED subcommand has no specifications and will therefore be ignored.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 7 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
Random Effects Intercept 1 Identity 1 PersonID * burst
Residual     1  
Total 2   3  
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7772.473
Akaike's Information Criterion (AIC) 7778.473
Hurvich and Tsai's Criterion (AICC) 7778.482
Bozdogan's Criterion (CAIC) 7799.234
Schwarz's Bayesian Criterion (BIC) 7796.234
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 4 rows
Source Numerator df Denominator df F Sig.
Intercept 1 460.029 841.004 .000
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 5 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1.669910 .057583 460.029 29.000 .000 1.556751 1.783068
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 6 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .630256 .018633 33.825 .000 .594774 .667855
Intercept [subject = PersonID * burst] Variance 1.424995 .101043 14.103 .000 1.240100 1.637458
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Eq 10b.5: Empty Means, Three-Level Model for the Variance for Symptoms; Level-1 Sessions Within Level-2 Bursts Within Level-3 Persons



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 4 rows
A(n) FIXED subcommand has no specifications and will therefore be ignored.
The covariance structure for random effect with only one level will be changed to Identity.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 8 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
Random Effects Intercept 1 Identity 1 PersonID
Intercept 1 Identity 1 PersonID * burst
Residual     1  
Total 3   4  
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7524.529
Akaike's Information Criterion (AIC) 7532.529
Hurvich and Tsai's Criterion (AICC) 7532.543
Bozdogan's Criterion (CAIC) 7560.209
Schwarz's Bayesian Criterion (BIC) 7556.209
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 4 rows
Source Numerator df Denominator df F Sig.
Intercept 1 103.820 256.880 .000
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 5 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1.704674 .106359 103.820 16.027 .000 1.493755 1.915593
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .630488 .018641 33.822 .000 .594990 .668103
Intercept [subject = PersonID] Variance 1.077330 .169218 6.367 .000 .791862 1.465711
Intercept [subject = PersonID * burst] Variance .425533 .040358 10.544 .000 .353349 .512463
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Ch 10b: Empty Means, Single-Level Model for the Variance for Positive Affect; Independent Observations



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 2 rows
A(n) FIXED subcommand has no specifications and will therefore be ignored.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 6 rows
  Number of Levels Number of Parameters
Fixed Effects Intercept 1 1
Residual   1
Total 1 2
a. Dependent Variable: posaff: Time-Varying Positive Affect.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 6080.356
Akaike's Information Criterion (AIC) 6084.356
Hurvich and Tsai's Criterion (AICC) 6084.360
Bozdogan's Criterion (CAIC) 6098.193
Schwarz's Bayesian Criterion (BIC) 6096.193
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 4 rows
Source Numerator df Denominator df F Sig.
Intercept 1 2747.000 34148.574 .000
a. Dependent Variable: posaff: Time-Varying Positive Affect.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 5 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 2.580269 .013963 2747.000 184.793 .000 2.552890 2.607648
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 1 levels of row headers, table with 7 columns and 5 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .535570 .014451 37.061 .000 .507982 .564656
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Ch 10b: Empty Means, Two-Level Model for the Variance for Positive Affect; Sessions Within Burst*Persons



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
A(n) FIXED subcommand has no specifications and will therefore be ignored.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 7 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
Random Effects Intercept 1 Identity 1 PersonID * burst
Residual     1  
Total 2   3  
a. Dependent Variable: posaff: Time-Varying Positive Affect.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 3974.723
Akaike's Information Criterion (AIC) 3980.723
Hurvich and Tsai's Criterion (AICC) 3980.732
Bozdogan's Criterion (CAIC) 4001.478
Schwarz's Bayesian Criterion (BIC) 3998.478
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 4 rows
Source Numerator df Denominator df F Sig.
Intercept 1 461.650 7573.557 .000
a. Dependent Variable: posaff: Time-Varying Positive Affect.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 5 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 2.580643 .029654 461.650 87.026 .000 2.522371 2.638916
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 6 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .157284 .004653 33.799 .000 .148423 .166674
Intercept [subject = PersonID * burst] Variance .379516 .026747 14.189 .000 .330552 .435732
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Eq 10b.5: Empty Means, Three-Level Model for the Variance for Positive Affect; Level-1 Sessions Within Level-2 Bursts Within Level-3 Persons



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 4 rows
A(n) FIXED subcommand has no specifications and will therefore be ignored.
The covariance structure for random effect with only one level will be changed to Identity.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 8 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
Random Effects Intercept 1 Identity 1 PersonID
Intercept 1 Identity 1 PersonID * burst
Residual     1  
Total 3   4  
a. Dependent Variable: posaff: Time-Varying Positive Affect.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 3576.963
Akaike's Information Criterion (AIC) 3584.963
Hurvich and Tsai's Criterion (AICC) 3584.978
Bozdogan's Criterion (CAIC) 3612.636
Schwarz's Bayesian Criterion (BIC) 3608.636
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 4 rows
Source Numerator df Denominator df F Sig.
Intercept 1 107.071 2045.526 .000
a. Dependent Variable: posaff: Time-Varying Positive Affect.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 5 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 2.543132 .056230 107.071 45.227 .000 2.431663 2.654600
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .157351 .004657 33.791 .000 .148484 .166748
Intercept [subject = PersonID] Variance .316294 .046607 6.786 .000 .236953 .422200
Intercept [subject = PersonID * burst] Variance .064330 .006897 9.327 .000 .052137 .079374
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Eq 10b.6: Saturated Means for Burst by Session; Three-Level Model for the Variance for Symptoms



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
The covariance structure for random effect with only one level will be changed to Identity.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 11 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
session 6   5  
burst 5   4  
burst * session 30   20  
Random Effects Intercept 1 Identity 1 PersonID
Intercept 1 Identity 1 PersonID * burst
Residual     1  
Total 44   33  
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7384.601
Akaike's Information Criterion (AIC) 7450.601
Hurvich and Tsai's Criterion (AICC) 7451.426
Bozdogan's Criterion (CAIC) 7678.964
Schwarz's Bayesian Criterion (BIC) 7645.964
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 7 rows
Source Numerator df Denominator df F Sig.
Intercept 1 104.288 262.502 .000
session 5 2290.541 15.351 .000
burst 4 354.685 9.776 .000
burst * session 20 2290.620 1.322 .153
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 47 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1.763715 .153566 402.554 11.485 .000 1.461825 2.065606
[session=1] .259740 .125155 2289.175 2.075 .038 .014311 .505170
[session=2] 6.758483E-15 .125155 2289.175 .000 1.000 -.245429 .245429
[session=3] .116883 .125155 2289.175 .934 .350 -.128546 .362313
[session=4] .077922 .125155 2289.175 .623 .534 -.167507 .323352
[session=5] .090909 .125155 2289.175 .726 .468 -.154520 .336339
[session=6] 0b 0 . . . . .
[burst=1] -.481603 .150113 1250.370 -3.208 .001 -.776104 -.187102
[burst=2] -.125445 .152842 1247.809 -.821 .412 -.425301 .174411
[burst=3] -.085503 .153346 1248.351 -.558 .577 -.386347 .215340
[burst=4] -.253248 .155686 1246.523 -1.627 .104 -.558685 .052188
[burst=5] 0b 0 . . . . .
[burst=1] * [session=1] .021499 .164771 2291.371 .130 .896 -.301618 .344615
[burst=1] * [session=2] .041961 .164378 2290.064 .255 .799 -.280385 .364307
[burst=1] * [session=3] .044879 .164766 2291.223 .272 .785 -.278228 .367985
[burst=1] * [session=4] -.070142 .164695 2290.381 -.426 .670 -.393108 .252824
[burst=1] * [session=5] -.052996 .164577 2290.855 -.322 .747 -.375731 .269740
[burst=1] * [session=6] 0b 0 . . . . .
[burst=2] * [session=1] .115845 .168268 2290.710 .688 .491 -.214128 .445817
[burst=2] * [session=2] .083918 .168268 2290.710 .499 .618 -.246055 .413891
[burst=2] * [session=3] -.043199 .168404 2289.175 -.257 .798 -.373438 .287041
[burst=2] * [session=4] -.067396 .168404 2289.175 -.400 .689 -.397635 .262844
[burst=2] * [session=5] -.017225 .168404 2289.175 -.102 .919 -.347464 .313015
[burst=2] * [session=6] 0b 0 . . . . .
[burst=3] * [session=1] .428701 .169107 2292.429 2.535 .011 .097082 .760321
[burst=3] * [session=2] .408602 .169212 2289.175 2.415 .016 .076777 .740428
[burst=3] * [session=3] .184192 .169212 2289.175 1.089 .276 -.147633 .516018
[burst=3] * [session=4] .072616 .169212 2289.175 .429 .668 -.259210 .404441
[burst=3] * [session=5] -.058651 .169212 2289.175 -.347 .729 -.390476 .273174
[burst=3] * [session=6] 0b 0 . . . . .
[burst=4] * [session=1] .257501 .171835 2289.175 1.499 .134 -.079467 .594469
[burst=4] * [session=2] .321839 .171835 2289.175 1.873 .061 -.015129 .658807
[burst=4] * [session=3] .121855 .172107 2289.636 .708 .479 -.215647 .459358
[burst=4] * [session=4] .266906 .171835 2289.175 1.553 .120 -.070063 .603874
[burst=4] * [session=5] .138976 .171835 2289.175 .809 .419 -.197992 .475944
[burst=4] * [session=6] 0b 0 . . . . .
[burst=5] * [session=1] 0b 0 . . . . .
[burst=5] * [session=2] 0b 0 . . . . .
[burst=5] * [session=3] 0b 0 . . . . .
[burst=5] * [session=4] 0b 0 . . . . .
[burst=5] * [session=5] 0b 0 . . . . .
[burst=5] * [session=6] 0b 0 . . . . .
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
b. This parameter is set to zero because it is redundant.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .603057 .017825 33.832 .000 .569113 .639026
Intercept [subject = PersonID] Variance 1.109326 .171823 6.456 .000 .818873 1.502802
Intercept [subject = PersonID * burst] Variance .373948 .036055 10.372 .000 .309558 .451732
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Estimated Marginal Means


1. session: Within-Burst Session (1-6)a1. session: Within-Burst Session (1-6), table, 2 levels of column headers and 1 levels of row headers, table with 6 columns and 10 rows
session: Within-Burst Session (1-6) Mean Std. Error df 95% Confidence Interval
Lower Bound Upper Bound
1 1.999 .112 125.150 1.777 2.221
2 1.746 .112 125.169 1.523 1.968
3 1.753 .112 125.399 1.531 1.975
4 1.693 .112 125.361 1.470 1.915
5 1.667 .112 125.277 1.445 1.890
6 1.575 .112 125.410 1.352 1.797
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
2. burst: Measurement Burst (1-5)a2. burst: Measurement Burst (1-5), table, 2 levels of column headers and 1 levels of row headers, table with 6 columns and 9 rows
burst: Measurement Burst (1-5) Mean Std. Error df 95% Confidence Interval
Lower Bound Upper Bound
1 1.371 .121 168.100 1.131 1.610
2 1.741 .125 183.051 1.495 1.987
3 1.942 .125 186.380 1.695 2.189
4 1.786 .127 195.960 1.535 2.037
5 1.855 .131 213.367 1.597 2.112
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
3. session: Within-Burst Session (1-6) * burst: Measurement Burst (1-5)a3. session: Within-Burst Session (1-6) * burst: Measurement Burst (1-5), table, 2 levels of column headers and 2 levels of row headers, table with 7 columns and 34 rows
session: Within-Burst Session (1-6) burst: Measurement Burst (1-5) Mean Std. Error df 95% Confidence Interval
Lower Bound Upper Bound
1 1 1.563 .139 292.526 1.289 1.838
2 2.014 .144 324.050 1.731 2.297
3 2.367 .145 331.029 2.082 2.652
4 2.028 .148 357.005 1.736 2.319
5 2.023 .154 402.554 1.722 2.325
2 1 1.324 .139 288.839 1.051 1.598
2 1.722 .144 324.050 1.439 2.005
3 2.087 .145 333.999 1.801 2.373
4 1.832 .148 357.005 1.541 2.124
5 1.764 .154 402.554 1.462 2.066
3 1 1.444 .139 292.483 1.169 1.718
2 1.712 .144 326.615 1.428 1.996
3 1.979 .145 333.999 1.693 2.265
4 1.749 .148 359.911 1.457 2.041
5 1.881 .154 402.554 1.579 2.182
4 1 1.290 .139 292.485 1.015 1.564
2 1.649 .144 326.615 1.365 1.933
3 1.829 .145 333.999 1.543 2.115
4 1.855 .148 357.005 1.564 2.147
5 1.842 .154 402.554 1.540 2.144
5 1 1.320 .139 290.695 1.046 1.594
2 1.712 .144 326.615 1.428 1.996
3 1.710 .145 333.999 1.425 1.996
4 1.740 .148 357.005 1.449 2.032
5 1.855 .154 402.554 1.553 2.157
6 1 1.282 .140 294.271 1.007 1.557
2 1.638 .144 326.615 1.354 1.922
3 1.678 .145 333.999 1.392 1.964
4 1.510 .148 357.005 1.219 1.802
5 1.764 .154 402.554 1.462 2.066
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Eq 10b.7: Piecewise Session Slopes by Observed Burst; Three-Level Model for the Variance for Symptoms



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
The covariance structure for random effect with only one level will be changed to Identity.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 13 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
slope12 1   1  
slope26 1   1  
burst 5   4  
burst * slope12 5   4  
burst * slope26 5   4  
Random Effects Intercept 1 Identity 1 PersonID
Intercept 1 Identity 1 PersonID * burst
Residual     1  
Total 20   18  
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7394.074
Akaike's Information Criterion (AIC) 7430.074
Hurvich and Tsai's Criterion (AICC) 7430.324
Bozdogan's Criterion (CAIC) 7554.635
Schwarz's Bayesian Criterion (BIC) 7536.635
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 9 rows
Source Numerator df Denominator df F Sig.
Intercept 1 114.978 259.625 .000
slope12 1 2291.450 24.087 .000
slope26 1 2290.071 13.691 .000
burst 4 801.969 8.817 .000
burst * slope12 4 2291.541 .371 .830
burst * slope26 4 2290.133 2.842 .023
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 23 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1.826201 .143064 305.938 12.765 .000 1.544687 2.107714
slope12 -.197403 .112174 2289.190 -1.760 .079 -.417376 .022570
slope26 -.002597 .028043 2289.190 -.093 .926 -.057591 .052396
[burst=1] -.453352 .130567 797.373 -3.472 .001 -.709647 -.197056
[burst=2] -.105883 .132928 795.931 -.797 .426 -.366813 .155047
[burst=3] .247789 .133465 797.644 1.857 .064 -.014194 .509773
[burst=4] .042226 .135537 796.915 .312 .755 -.223826 .308278
[burst=5] 0b 0 . . . . .
[burst=1] * slope12 .007045 .147310 2290.029 .048 .962 -.281830 .295920
[burst=2] * slope12 -.096242 .150647 2289.494 -.639 .523 -.391661 .199178
[burst=3] * slope12 -.095365 .151543 2293.260 -.629 .529 -.392542 .201811
[burst=4] * slope12 .038013 .154060 2289.281 .247 .805 -.264099 .340125
[burst=5] * slope12 0b 0 . . . . .
[burst=1] * slope26 -.017934 .036828 2289.967 -.487 .626 -.090153 .054286
[burst=2] * slope26 -.014191 .037710 2290.427 -.376 .707 -.088140 .059757
[burst=3] * slope26 -.106005 .037915 2289.190 -2.796 .005 -.180357 -.031653
[burst=4] * slope26 -.062728 .038515 2289.281 -1.629 .104 -.138256 .012800
[burst=5] * slope26 0b 0 . . . . .
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
b. This parameter is set to zero because it is redundant.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .605556 .017899 33.832 .000 .571471 .641673
Intercept [subject = PersonID] Variance 1.109780 .171902 6.456 .000 .819197 1.503438
Intercept [subject = PersonID * burst] Variance .373481 .036052 10.359 .000 .309102 .451269
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 1 (Session 2 at Burst 1)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 1.372849 .130880 228.088 0 10.489 .000 1.114960 1.630738
a. Session 2 at Burst 1
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 2 (Session 2 at Burst 2)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 1.720318 .135115 252.608 0 12.732 .000 1.454221 1.986414
a. Session 2 at Burst 2
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 3 (Session 2 at Burst 3)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 2.073990 .136132 258.959 0 15.235 .000 1.805923 2.342056
a. Session 2 at Burst 3
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 4 (Session 2 at Burst 4)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 1.868427 .138601 275.290 0 13.481 .000 1.595573 2.141280
a. Session 2 at Burst 4
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 5 (Session 2 at Burst 5)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 1.826201 .143064 305.938 0 12.765 .000 1.544687 2.107714
a. Session 2 at Burst 5
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 6 (Slope12 at Burst 1)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.190357 .095484 2291.186 0 -1.994 .046 -.377602 -.003113
a. Slope12 at Burst 1
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 7 (Slope12 at Burst 2)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.293644 .100557 2289.872 0 -2.920 .004 -.490836 -.096452
a. Slope12 at Burst 2
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 8 (Slope12 at Burst 3)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.292768 .101894 2298.180 0 -2.873 .004 -.492582 -.092953
a. Slope12 at Burst 3
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 9 (Slope12 at Burst 4)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.159390 .105601 2289.384 0 -1.509 .131 -.366473 .047694
a. Slope12 at Burst 4
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 10 (Slope12 at Burst 5)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.197403 .112174 2289.190 0 -1.760 .079 -.417376 .022570
a. Slope12 at Burst 5
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 11 (Slope26 at Burst 1)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.020531 .023872 2291.038 0 -.860 .390 -.067344 .026282
a. Slope26 at Burst 1
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 12 (Slope26 at Burst 2)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.016789 .025211 2291.957 0 -.666 .506 -.066227 .032650
a. Slope26 at Burst 2
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 13 (Slope26 at Burst 3)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.108602 .025517 2289.190 0 -4.256 .000 -.158642 -.058563
a. Slope26 at Burst 3
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 14 (Slope26 at Burst 4)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.065325 .026400 2289.384 0 -2.474 .013 -.117096 -.013554
a. Slope26 at Burst 4
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 15 (Slope26 at Burst 5)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.002597 .028043 2289.190 0 -.093 .926 -.057591 .052396
a. Slope26 at Burst 5
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Eq 10b.8: Piecewise Session Slopes by Quadratic Burst; Three-Level Model for the Variance for Symptoms



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
The covariance structure for random effect with only one level will be changed to Identity.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 16 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
burst1 1   1  
burst1 * burst1 1   1  
slope12 1   1  
slope26 1   1  
burst1 * slope12 1   1  
burst1 * slope26 1   1  
burst1 * burst1 * slope12 1   1  
burst1 * burst1 * slope26 1   1  
Random Effects Intercept 1 Identity 1 PersonID
Intercept 1 Identity 1 PersonID * burst
Residual     1  
Total 11   12  
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7405.060
Akaike's Information Criterion (AIC) 7429.060
Hurvich and Tsai's Criterion (AICC) 7429.174
Bozdogan's Criterion (CAIC) 7512.101
Schwarz's Bayesian Criterion (BIC) 7500.101
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 12 rows
Source Numerator df Denominator df F Sig.
Intercept 1 212.841 113.457 .000
burst1 1 802.432 24.874 .000
burst1 * burst1 1 798.998 15.893 .000
slope12 1 2290.926 5.343 .021
slope26 1 2290.846 .066 .798
burst1 * slope12 1 2292.464 .392 .531
burst1 * slope26 1 2289.992 6.462 .011
burst1 * burst1 * slope12 1 2292.190 .558 .455
burst1 * burst1 * slope26 1 2289.756 6.424 .011
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 13 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1.367750 .128408 212.841 10.652 .000 1.114636 1.620863
burst1 .492856 .098820 802.432 4.987 .000 .298880 .686832
burst1 * burst1 -.097013 .024335 798.998 -3.987 .000 -.144781 -.049246
slope12 -.209601 .090680 2290.926 -2.311 .021 -.387425 -.031778
slope26 -.005810 .022675 2290.846 -.256 .798 -.050276 .038656
burst1 * slope12 -.070137 .111971 2292.464 -.626 .531 -.289713 .149439
burst1 * slope26 -.071201 .028010 2289.992 -2.542 .011 -.126128 -.016273
burst1 * burst1 * slope12 .020620 .027595 2292.190 .747 .455 -.033494 .074735
burst1 * burst1 * slope26 .017498 .006904 2289.756 2.535 .011 .003959 .031037
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .607316 .017952 33.831 .000 .573131 .643540
Intercept [subject = PersonID] Variance 1.106976 .171689 6.448 .000 .816806 1.500229
Intercept [subject = PersonID * burst] Variance .379191 .036509 10.386 .000 .313980 .457946
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 1 (Slope12 at Burst 1)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.209601 .090680 2290.926 0 -2.311 .021 -.387425 -.031778
a. Slope12 at Burst 1
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 2 (Slope12 at Burst 2)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.259118 .061736 2292.573 0 -4.197 .000 -.380181 -.138055
a. Slope12 at Burst 2
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 3 (Slope12 at Burst 3)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.267394 .071506 2293.683 0 -3.739 .000 -.407617 -.127172
a. Slope12 at Burst 3
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 4 (Slope12 at Burst 4)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.234430 .063916 2291.953 0 -3.668 .000 -.359769 -.109091
a. Slope12 at Burst 4
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 5 (Slope12 at Burst 5)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.160226 .104695 2289.135 0 -1.530 .126 -.365532 .045081
a. Slope12 at Burst 5
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 6 (Slope26 at Burst 1)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.005810 .022675 2290.846 0 -.256 .798 -.050276 .038656
a. Slope26 at Burst 1
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 7 (Slope26 at Burst 2)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.059512 .015459 2290.342 0 -3.850 .000 -.089828 -.029197
a. Slope26 at Burst 2
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 8 (Slope26 at Burst 3)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.078218 .017904 2289.783 0 -4.369 .000 -.113329 -.043108
a. Slope26 at Burst 3
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 9 (Slope26 at Burst 4)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.061927 .015991 2289.380 0 -3.873 .000 -.093285 -.030569
a. Slope26 at Burst 4
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 10 (Slope26 at Burst 5)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.010640 .026176 2289.118 0 -.406 .684 -.061971 .040692
a. Slope26 at Burst 5
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Eq 10b.9: Piecewise Session Slopes (Slope26 by Quadratic Burst Only); Three-Level Model for the Variance for Symptoms



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
The covariance structure for random effect with only one level will be changed to Identity.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 14 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
burst1 1   1  
burst1 * burst1 1   1  
slope12 1   1  
slope26 1   1  
burst1 * slope26 1   1  
burst1 * burst1 * slope26 1   1  
Random Effects Intercept 1 Identity 1 PersonID
Intercept 1 Identity 1 PersonID * burst
Residual     1  
Total 9   10  
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7405.709
Akaike's Information Criterion (AIC) 7425.709
Hurvich and Tsai's Criterion (AICC) 7425.790
Bozdogan's Criterion (CAIC) 7494.910
Schwarz's Bayesian Criterion (BIC) 7484.910
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 10 rows
Source Numerator df Denominator df F Sig.
Intercept 1 191.745 118.382 .000
burst1 1 557.641 33.675 .000
burst1 * burst1 1 554.140 22.631 .000
slope12 1 2291.428 24.585 .000
slope26 1 2291.428 .029 .864
burst1 * slope26 1 2291.186 10.849 .001
burst1 * burst1 * slope26 1 2291.003 11.263 .001
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1.360861 .125075 191.745 10.880 .000 1.114161 1.607561
burst1 .519218 .089473 557.641 5.803 .000 .343473 .694964
burst1 * burst1 -.104762 .022022 554.140 -4.757 .000 -.148019 -.061506
slope12 -.228093 .046002 2291.428 -4.958 .000 -.318304 -.137883
slope26 -.003510 .020490 2291.428 -.171 .864 -.043690 .036670
burst1 * slope26 -.079968 .024278 2291.186 -3.294 .001 -.127578 -.032358
burst1 * burst1 * slope26 .020077 .005982 2291.003 3.356 .001 .008345 .031808
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .607473 .017957 33.830 .000 .573279 .643706
Intercept [subject = PersonID] Variance 1.107070 .171705 6.448 .000 .816874 1.500360
Intercept [subject = PersonID * burst] Variance .379230 .036516 10.385 .000 .314007 .458000
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 1 (Slope26 at Burst 1)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.003510 .020490 2291.428 0 -.171 .864 -.043690 .036670
a. Slope26 at Burst 1
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 2 (Slope26 at Burst 2)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.063401 .014577 2290.884 0 -4.349 .000 -.091987 -.034816
a. Slope26 at Burst 2
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 3 (Slope26 at Burst 3)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.083139 .016543 2290.559 0 -5.026 .000 -.115580 -.050699
a. Slope26 at Burst 3
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 4 (Slope26 at Burst 4)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.062724 .015000 2289.575 0 -4.182 .000 -.092139 -.033309
a. Slope26 at Burst 4
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 5 (Slope26 at Burst 5)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.002156 .023389 2289.475 0 -.092 .927 -.048021 .043710
a. Slope26 at Burst 5
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Ch 10b: Piecewise Session Slopes (Slope26 by Quadratic Burst Only); Add Random Linear Burst Slope across Persons for Symptoms



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 2 rows
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 15 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
burst1 1   1  
burst1 * burst1 1   1  
slope12 1   1  
slope26 1   1  
burst1 * slope26 1   1  
burst1 * burst1 * slope26 1   1  
Random Effects Intercept + burst1b 2 Unstructured 3 PersonID
Interceptb 1 Identity 1 PersonID * burst
Residual     1  
Total 10   12  
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7398.894
Akaike's Information Criterion (AIC) 7422.894
Hurvich and Tsai's Criterion (AICC) 7423.008
Bozdogan's Criterion (CAIC) 7505.935
Schwarz's Bayesian Criterion (BIC) 7493.935
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 10 rows
Source Numerator df Denominator df F Sig.
Intercept 1 152.455 133.935 .000
burst1 1 506.552 34.581 .000
burst1 * burst1 1 452.437 22.995 .000
slope12 1 2291.443 24.540 .000
slope26 1 2291.533 .033 .857
burst1 * slope26 1 2291.250 10.804 .001
burst1 * burst1 * slope26 1 2291.053 11.227 .001
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1.359967 .117512 152.455 11.573 .000 1.127805 1.592128
burst1 .518221 .088124 506.552 5.881 .000 .345087 .691356
burst1 * burst1 -.103347 .021552 452.437 -4.795 .000 -.145701 -.060993
slope12 -.227884 .046002 2291.443 -4.954 .000 -.318093 -.137675
slope26 -.003700 .020489 2291.533 -.181 .857 -.043879 .036479
burst1 * slope26 -.079801 .024278 2291.250 -3.287 .001 -.127410 -.032192
burst1 * burst1 * slope26 .020044 .005982 2291.053 3.351 .001 .008313 .031775
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 9 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .607453 .017956 33.830 .000 .573260 .643686
Intercept + burst1 [subject = PersonID] UN (1,1) .936018 .172825 5.416 .000 .651808 1.344153
UN (2,1) .044101 .032202 1.370 .171 -.019014 .107216
UN (2,2) .012496 .010259 1.218 .223 .002500 .062460
Intercept [subject = PersonID * burst] Variance .349079 .039942 8.740 .000 .278951 .436837
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Random Effects Covariance Structures (G)


Intercept + burst1 [subject = PersonID]aIntercept + burst1 [subject = PersonID], table, 1 levels of column headers and 1 levels of row headers, table with 3 columns and 6 rows
  Intercept | PersonID burst1 | PersonID
Intercept | PersonID .936018 .044101
burst1 | PersonID .044101 .012496
Unstructured
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Intercept [subject = PersonID * burst]aIntercept [subject = PersonID * burst], table, 1 levels of column headers and 1 levels of row headers, table with 2 columns and 5 rows
  Intercept | PersonID*burst
Intercept | PersonID*burst .349079
Identity
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Ch 10b: Piecewise Session Slopes (Slope26 by Quadratic Burst Only); Add Random Quadratic Burst Slope across Persons for Symptoms



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 2 rows
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 15 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
burst1 1   1  
burst1 * burst1 1   1  
slope12 1   1  
slope26 1   1  
burst1 * slope26 1   1  
burst1 * burst1 * slope26 1   1  
Random Effects Intercept + burst1 + burst1 * burst1b 3 Unstructured 6 PersonID
Interceptb 1 Identity 1 PersonID * burst
Residual     1  
Total 11   15  
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7396.003
Akaike's Information Criterion (AIC) 7426.003
Hurvich and Tsai's Criterion (AICC) 7426.179
Bozdogan's Criterion (CAIC) 7529.805
Schwarz's Bayesian Criterion (BIC) 7514.805
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 10 rows
Source Numerator df Denominator df F Sig.
Intercept 1 132.162 142.269 .000
burst1 1 141.261 32.816 .000
burst1 * burst1 1 132.473 22.346 .000
slope12 1 2291.649 24.481 .000
slope26 1 2291.791 .034 .853
burst1 * slope26 1 2291.483 10.770 .001
burst1 * burst1 * slope26 1 2291.274 11.194 .001
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1.359554 .113983 132.162 11.928 .000 1.134086 1.585022
burst1 .526901 .091979 141.261 5.729 .000 .345069 .708734
burst1 * burst1 -.106011 .022426 132.473 -4.727 .000 -.150370 -.061652
slope12 -.227597 .045999 2291.649 -4.948 .000 -.317801 -.137392
slope26 -.003795 .020488 2291.791 -.185 .853 -.043971 .036382
burst1 * slope26 -.079671 .024277 2291.483 -3.282 .001 -.127277 -.032065
burst1 * burst1 * slope26 .020014 .005982 2291.274 3.346 .001 .008283 .031744
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 12 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .607390 .017953 33.832 .000 .573202 .643617
Intercept + burst1 + burst1 * burst1 [subject = PersonID] UN (1,1) .870391 .177604 4.901 .000 .583479 1.298384
UN (2,1) .121492 .105039 1.157 .247 -.084381 .327364
UN (2,2) .110475 .117544 .940 .347 .013728 .889062
UN (3,1) -.023014 .025117 -.916 .360 -.072242 .026214
UN (3,2) -.022922 .027810 -.824 .410 -.077428 .031584
UN (3,3) .005473 .006928 .790 .430 .000458 .065416
Intercept [subject = PersonID * burst] Variance .323889 .046224 7.007 .000 .244859 .428427
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Random Effects Covariance Structures (G)


Intercept + burst1 + burst1 * burst1 [subject = PersonID]aIntercept + burst1 + burst1 * burst1 [subject = PersonID], table, 1 levels of column headers and 1 levels of row headers, table with 4 columns and 7 rows
  Intercept | PersonID burst1 | PersonID burst1 * burst1 | PersonID
Intercept | PersonID .870391 .121492 -.023014
burst1 | PersonID .121492 .110475 -.022922
burst1 * burst1 | PersonID -.023014 -.022922 .005473
Unstructured
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Intercept [subject = PersonID * burst]aIntercept [subject = PersonID * burst], table, 1 levels of column headers and 1 levels of row headers, table with 2 columns and 5 rows
  Intercept | PersonID*burst
Intercept | PersonID*burst .323889
Identity
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Ch 10b: Piecewise Session Slopes (Slope26 by Quadratic Burst Only); Add Random Linear Slope12 Across Bursts for Symptoms



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 15 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
burst1 1   1  
burst1 * burst1 1   1  
slope12 1   1  
slope26 1   1  
burst1 * slope26 1   1  
burst1 * burst1 * slope26 1   1  
Random Effects Intercept + burst1b 2 Unstructured 3 PersonID
Intercept + slope12b 2 Unstructured 3 PersonID * burst
Residual     1  
Total 11   14  
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7379.447
Akaike's Information Criterion (AIC) 7407.447
Hurvich and Tsai's Criterion (AICC) 7407.601
Bozdogan's Criterion (CAIC) 7504.328
Schwarz's Bayesian Criterion (BIC) 7490.328
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 10 rows
Source Numerator df Denominator df F Sig.
Intercept 1 151.160 134.323 .000
burst1 1 456.806 34.868 .000
burst1 * burst1 1 411.705 23.151 .000
slope12 1 699.330 20.744 .000
slope26 1 2234.575 .042 .837
burst1 * slope26 1 2291.004 10.352 .001
burst1 * burst1 * slope26 1 2290.837 10.671 .001
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1.360315 .117372 151.160 11.590 .000 1.128414 1.592216
burst1 .516189 .087417 456.806 5.905 .000 .344399 .687978
burst1 * burst1 -.102869 .021380 411.705 -4.812 .000 -.144896 -.060842
slope12 -.228279 .050121 699.330 -4.555 .000 -.326684 -.129874
slope26 -.004169 .020255 2234.575 -.206 .837 -.043890 .035552
burst1 * slope26 -.078054 .024259 2291.004 -3.217 .001 -.125627 -.030481
burst1 * burst1 * slope26 .019528 .005978 2290.837 3.267 .001 .007805 .031251
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .566132 .018707 30.264 .000 .530630 .604010
Intercept + burst1 [subject = PersonID] UN (1,1) .939182 .173180 5.423 .000 .654324 1.348051
UN (2,1) .043647 .032142 1.358 .174 -.019349 .106643
UN (2,2) .012015 .010202 1.178 .239 .002275 .063453
Intercept + slope12 [subject = PersonID * burst] UN (1,1) .372117 .042602 8.735 .000 .297323 .465726
UN (2,1) .068479 .037298 1.836 .066 -.004623 .141581
UN (2,2) .248220 .065303 3.801 .000 .148217 .415696
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Random Effects Covariance Structures (G)


Intercept + burst1 [subject = PersonID]aIntercept + burst1 [subject = PersonID], table, 1 levels of column headers and 1 levels of row headers, table with 3 columns and 6 rows
  Intercept | PersonID burst1 | PersonID
Intercept | PersonID .939182 .043647
burst1 | PersonID .043647 .012015
Unstructured
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Intercept + slope12 [subject = PersonID * burst]aIntercept + slope12 [subject = PersonID * burst], table, 1 levels of column headers and 1 levels of row headers, table with 3 columns and 6 rows
  Intercept | PersonID*burst slope12 | PersonID*burst
Intercept | PersonID*burst .372117 .068479
slope12 | PersonID*burst .068479 .248220
Unstructured
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Ch 10b: Piecewise Session Slopes (Slope26 by Quadratic Burst Only); Add Random Linear Slope12 Across Persons for Symptoms



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 2 rows
Iteration was terminated but convergence has not been achieved. The MIXED procedure continues despite this warning. Subsequent results produced are based on the last iteration. Validity of the model fit is uncertain.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 15 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
burst1 1   1  
burst1 * burst1 1   1  
slope12 1   1  
slope26 1   1  
burst1 * slope26 1   1  
burst1 * burst1 * slope26 1   1  
Random Effects Intercept + burst1 + slope12b 3 Unstructured 6 PersonID
Intercept + slope12b 2 Unstructured 3 PersonID * burst
Residual     1  
Total 12   17  
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7374.005
Akaike's Information Criterion (AIC) 7408.005
Hurvich and Tsai's Criterion (AICC) 7408.229
Bozdogan's Criterion (CAIC) 7525.646
Schwarz's Bayesian Criterion (BIC) 7508.646
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 10 rows
Source Numerator df Denominator df F Sig.
Intercept 1 149.338 136.786 .000
burst1 1 463.081 34.918 .000
burst1 * burst1 1 416.528 23.148 .000
slope12 1 155.583 17.923 .000
slope26 1 2188.857 .049 .824
burst1 * slope26 1 2179.949 10.382 .001
burst1 * burst1 * slope26 1 2178.883 10.748 .001
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1.361453 .116408 149.338 11.696 .000 1.131434 1.591471
burst1 .514706 .087104 463.081 5.909 .000 .343538 .685874
burst1 * burst1 -.102339 .021271 416.528 -4.811 .000 -.144150 -.060527
slope12 -.228334 .053935 155.583 -4.234 .000 -.334873 -.121795
slope26 -.004485 .020218 2188.857 -.222 .824 -.044133 .035163
burst1 * slope26 -.077899 .024176 2179.949 -3.222 .001 -.125310 -.030488
burst1 * burst1 * slope26 .019531 .005957 2178.883 3.278 .001 .007848 .031214
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 14 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .567535 .018800 30.189 .000 .531859 .605604
Intercept + burst1 + slope12 [subject = PersonID] UN (1,1) .919020 .171226 5.367 .000 .637873 1.324084
UN (2,1) .045001 .032732 1.375 .169 -.019153 .109154
UN (2,2) .014152 .010684 1.325 .185 .003222 .062152
UN (3,1) -.047306 .057522 -.822 .411 -.160048 .065436
UN (3,2) .021440 .012841 1.670 .095 -.003728 .046608
UN (3,3) .049669 .035884 1.384 .166 .012054 .204667
Intercept + slope12 [subject = PersonID * burst] UN (1,1) .367533 .042027 8.745 .000 .293740 .459865
UN (2,1) .062420 .036465 1.712 .087 -.009050 .133890
UN (2,2) .202657 .069583 2.912 .004 .103395 .397214
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Random Effects Covariance Structures (G)


Intercept + burst1 + slope12 [subject = PersonID]aIntercept + burst1 + slope12 [subject = PersonID], table, 1 levels of column headers and 1 levels of row headers, table with 4 columns and 7 rows
  Intercept | PersonID burst1 | PersonID slope12 | PersonID
Intercept | PersonID .919020 .045001 -.047306
burst1 | PersonID .045001 .014152 .021440
slope12 | PersonID -.047306 .021440 .049669
Unstructured
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Intercept + slope12 [subject = PersonID * burst]aIntercept + slope12 [subject = PersonID * burst], table, 1 levels of column headers and 1 levels of row headers, table with 3 columns and 6 rows
  Intercept | PersonID*burst slope12 | PersonID*burst
Intercept | PersonID*burst .367533 .062420
slope12 | PersonID*burst .062420 .202657
Unstructured
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Eq 10b.10: Piecewise Session Slopes (Slope26 by Quadratic Burst Only); Add Random Linear Slope26 Across Bursts for Symptoms



Mixed Model Analysis



[PlotMeans] 


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 15 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
burst1 1   1  
burst1 * burst1 1   1  
slope12 1   1  
slope26 1   1  
burst1 * slope26 1   1  
burst1 * burst1 * slope26 1   1  
Random Effects Intercept + burst1b 2 Unstructured 3 PersonID
Intercept + slope12 + slope26b 3 Unstructured 6 PersonID * burst
Residual     1  
Total 12   17  
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7354.480
Akaike's Information Criterion (AIC) 7388.480
Hurvich and Tsai's Criterion (AICC) 7388.704
Bozdogan's Criterion (CAIC) 7506.122
Schwarz's Bayesian Criterion (BIC) 7489.122
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 10 rows
Source Numerator df Denominator df F Sig.
Intercept 1 166.478 126.192 .000
burst1 1 353.506 30.232 .000
burst1 * burst1 1 331.153 20.114 .000
slope12 1 459.691 22.320 .000
slope26 1 492.244 .047 .829
burst1 * slope26 1 460.616 8.312 .004
burst1 * burst1 * slope26 1 458.865 8.577 .004
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1.359586 .121029 166.478 11.234 .000 1.120636 1.598536
burst1 .519089 .094408 353.506 5.498 .000 .333416 .704761
burst1 * burst1 -.103676 .023117 331.153 -4.485 .000 -.149151 -.058201
slope12 -.226874 .048021 459.691 -4.724 .000 -.321242 -.132506
slope26 -.004830 .022309 492.244 -.216 .829 -.048662 .039003
burst1 * slope26 -.077846 .027002 460.616 -2.883 .004 -.130908 -.024784
burst1 * burst1 * slope26 .019493 .006656 458.865 2.929 .004 .006413 .032573
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 14 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .536248 .020473 26.193 .000 .497586 .577915
Intercept + burst1 [subject = PersonID] UN (1,1) .938353 .172137 5.451 .000 .654964 1.344359
UN (2,1) .043117 .031733 1.359 .174 -.019078 .105311
UN (2,2) .012314 .010039 1.227 .220 .002491 .060867
Intercept + slope12 + slope26 [subject = PersonID * burst] UN (1,1) .512533 .065809 7.788 .000 .398499 .659199
UN (2,1) .099301 .052914 1.877 .061 -.004408 .203010
UN (2,2) .200969 .077265 2.601 .009 .094597 .426956
UN (3,1) -.045935 .014429 -3.184 .001 -.074214 -.017655
UN (3,2) .008942 .013788 .649 .517 -.018081 .035965
UN (3,3) .011983 .004799 2.497 .013 .005466 .026268
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Random Effects Covariance Structures (G)


Intercept + burst1 [subject = PersonID]aIntercept + burst1 [subject = PersonID], table, 1 levels of column headers and 1 levels of row headers, table with 3 columns and 6 rows
  Intercept | PersonID burst1 | PersonID
Intercept | PersonID .938353 .043117
burst1 | PersonID .043117 .012314
Unstructured
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Intercept + slope12 + slope26 [subject = PersonID * burst]aIntercept + slope12 + slope26 [subject = PersonID * burst], table, 1 levels of column headers and 1 levels of row headers, table with 4 columns and 7 rows
  Intercept | PersonID*burst slope12 | PersonID*burst slope26 | PersonID*burst
Intercept | PersonID*burst .512533 .099301 -.045935
slope12 | PersonID*burst .099301 .200969 .008942
slope26 | PersonID*burst -.045935 .008942 .011983
Unstructured
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 1 (Slope26 at Burst 1)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.004830 .022309 492.244 0 -.216 .829 -.048662 .039003
a. Slope26 at Burst 1
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 2 (Slope26 at Burst 2)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.063183 .015557 492.436 0 -4.061 .000 -.093750 -.032616
a. Slope26 at Burst 2
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 3 (Slope26 at Burst 3)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.082550 .017829 491.879 0 -4.630 .000 -.117579 -.047520
a. Slope26 at Burst 3
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 4 (Slope26 at Burst 4)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.062931 .016051 491.650 0 -3.921 .000 -.094468 -.031395
a. Slope26 at Burst 4
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Custom Hypothesis Test 5 (Slope26 at Burst 5)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.004327 .025632 479.045 0 -.169 .866 -.054693 .046038
a. Slope26 at Burst 5
b. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Correlations


CorrelationsCorrelations, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 8 rows
  symptoms: Time-Varying Physical Symptoms Fixed Predicted Values
symptoms: Time-Varying Physical Symptoms Pearson Correlation 1 .158
Sig. (2-tailed)   .000
N 2752 2752
Fixed Predicted Values Pearson Correlation .158 1
Sig. (2-tailed) .000  
N 2752 2782


Predicted Outcomes for Fake People will be in PlotMeans dataset Ch 10b: Piecewise Session Slopes (Slope26 by Quadratic Burst Only); Add Random Linear Slope26 Across Persons for Symptoms



Mixed Model Analysis



[Chapter10b] C:\Dropbox\PilesOfVariance\Chapter10b\SPSS\SPSS_Chapter10b.sav


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 15 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
burst1 1   1  
burst1 * burst1 1   1  
slope12 1   1  
slope26 1   1  
burst1 * slope26 1   1  
burst1 * burst1 * slope26 1   1  
Random Effects Intercept + burst1 + slope26b 3 Unstructured 6 PersonID
Intercept + slope12 + slope26b 3 Unstructured 6 PersonID * burst
Residual     1  
Total 13   20  
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7352.606
Akaike's Information Criterion (AIC) 7392.606
Hurvich and Tsai's Criterion (AICC) 7392.913
Bozdogan's Criterion (CAIC) 7531.008
Schwarz's Bayesian Criterion (BIC) 7511.008
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 10 rows
Source Numerator df Denominator df F Sig.
Intercept 1 152.522 123.441 .000
burst1 1 349.251 30.648 .000
burst1 * burst1 1 326.433 20.355 .000
slope12 1 459.554 22.350 .000
slope26 1 484.713 .049 .825
burst1 * slope26 1 372.212 8.555 .004
burst1 * burst1 * slope26 1 371.173 8.828 .003
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1.359681 .122379 152.522 11.110 .000 1.117904 1.601459
burst1 .518271 .093617 349.251 5.536 .000 .334147 .702395
burst1 * burst1 -.103376 .022913 326.433 -4.512 .000 -.148452 -.058299
slope12 -.227047 .048026 459.554 -4.728 .000 -.321425 -.132669
slope26 -.004931 .022351 484.713 -.221 .825 -.048849 .038987
burst1 * slope26 -.077909 .026637 372.212 -2.925 .004 -.130286 -.025532
burst1 * burst1 * slope26 .019508 .006566 371.173 2.971 .003 .006597 .032419
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 17 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .536319 .020478 26.190 .000 .497648 .577994
Intercept + burst1 + slope26 [subject = PersonID] UN (1,1) .982942 .185154 5.309 .000 .679499 1.421891
UN (2,1) .038161 .032708 1.167 .243 -.025945 .102267
UN (2,2) .012239 .010037 1.219 .223 .002453 .061062
UN (3,1) -.013463 .014745 -.913 .361 -.042361 .015436
UN (3,2) .002770 .002983 .929 .353 -.003076 .008617
UN (3,3) .001608 .002111 .762 .446 .000123 .021064
Intercept + slope12 + slope26 [subject = PersonID * burst] UN (1,1) .505906 .065651 7.706 .000 .392292 .652422
UN (2,1) .105350 .053202 1.980 .048 .001076 .209623
UN (2,2) .201078 .077291 2.602 .009 .094662 .427123
UN (3,1) -.042498 .014638 -2.903 .004 -.071187 -.013808
UN (3,2) .007470 .013868 .539 .590 -.019711 .034651
UN (3,3) .010616 .005053 2.101 .036 .004177 .026986
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Random Effects Covariance Structures (G)


Intercept + burst1 + slope26 [subject = PersonID]aIntercept + burst1 + slope26 [subject = PersonID], table, 1 levels of column headers and 1 levels of row headers, table with 4 columns and 7 rows
  Intercept | PersonID burst1 | PersonID slope26 | PersonID
Intercept | PersonID .982942 .038161 -.013463
burst1 | PersonID .038161 .012239 .002770
slope26 | PersonID -.013463 .002770 .001608
Unstructured
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Intercept + slope12 + slope26 [subject = PersonID * burst]aIntercept + slope12 + slope26 [subject = PersonID * burst], table, 1 levels of column headers and 1 levels of row headers, table with 4 columns and 7 rows
  Intercept | PersonID*burst slope12 | PersonID*burst slope26 | PersonID*burst
Intercept | PersonID*burst .505906 .105350 -.042498
slope12 | PersonID*burst .105350 .201078 .007470
slope26 | PersonID*burst -.042498 .007470 .010616
Unstructured
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Ch 10b: Final Unconditional Model for Symptoms; Remove Level-2 Random Effects Variances and Covariances



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 14 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
burst1 1   1  
burst1 * burst1 1   1  
slope12 1   1  
slope26 1   1  
burst1 * slope26 1   1  
burst1 * burst1 * slope26 1   1  
Random Effects Intercept + burst1b 2 Unstructured 3 PersonID
Residual     1  
Total 9   11  
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7768.442
Akaike's Information Criterion (AIC) 7790.442
Hurvich and Tsai's Criterion (AICC) 7790.539
Bozdogan's Criterion (CAIC) 7866.563
Schwarz's Bayesian Criterion (BIC) 7855.563
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 10 rows
Source Numerator df Denominator df F Sig.
Intercept 1 147.962 135.373 .000
burst1 1 1769.376 59.361 .000
burst1 * burst1 1 2605.698 42.469 .000
slope12 1 2529.545 18.582 .000
slope26 1 2530.596 .050 .823
burst1 * slope26 1 2529.971 7.901 .005
burst1 * burst1 * slope26 1 2529.530 8.305 .004
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1.362601 .117112 147.962 11.635 .000 1.131172 1.594030
burst1 .522053 .067758 1769.376 7.705 .000 .389158 .654948
burst1 * burst1 -.102878 .015787 2605.698 -6.517 .000 -.133834 -.071923
slope12 -.229322 .053199 2529.545 -4.311 .000 -.333639 -.125004
slope26 -.005310 .023694 2530.596 -.224 .823 -.051773 .041152
burst1 * slope26 -.078920 .028077 2529.971 -2.811 .005 -.133977 -.023864
burst1 * burst1 * slope26 .019937 .006918 2529.530 2.882 .004 .006371 .033504
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 8 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .812932 .022863 35.556 .000 .769334 .859002
Intercept + burst1 [subject = PersonID] UN (1,1) 1.160261 .172128 6.741 .000 .867516 1.551793
UN (2,1) -.021021 .032672 -.643 .520 -.085056 .043014
UN (2,2) .055158 .011219 4.917 .000 .037024 .082175
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.
Random Effect Covariance Structure (G)aRandom Effect Covariance Structure (G), table, 1 levels of column headers and 1 levels of row headers, table with 3 columns and 6 rows
  Intercept | PersonID burst1 | PersonID
Intercept | PersonID 1.160261 -.021021
burst1 | PersonID -.021021 .055158
Unstructured
a. Dependent Variable: symptoms: Time-Varying Physical Symptoms.


Eq 10b.6: Saturated Means for Burst by Session; Three-Level Model for the Variance for Positive Affect



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
The covariance structure for random effect with only one level will be changed to Identity.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 11 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
session 6   5  
burst 5   4  
burst * session 30   20  
Random Effects Intercept 1 Identity 1 PersonID
Intercept 1 Identity 1 PersonID * burst
Residual     1  
Total 44   33  
a. Dependent Variable: posaff: Time-Varying Positive Affect.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 3485.483
Akaike's Information Criterion (AIC) 3551.483
Hurvich and Tsai's Criterion (AICC) 3552.310
Bozdogan's Criterion (CAIC) 3779.786
Schwarz's Bayesian Criterion (BIC) 3746.786
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 7 rows
Source Numerator df Denominator df F Sig.
Intercept 1 106.782 1972.559 .000
session 5 2286.515 3.799 .002
burst 4 354.453 8.454 .000
burst * session 20 2286.574 1.906 .009
a. Dependent Variable: posaff: Time-Varying Positive Affect.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 47 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 2.439079 .076763 339.127 31.774 .000 2.288087 2.590071
[session=1] -.045459 .063332 2286.163 -.718 .473 -.169653 .078735
[session=2] -.040264 .063332 2286.163 -.636 .525 -.164458 .083929
[session=3] -.019485 .063332 2286.163 -.308 .758 -.143679 .104709
[session=4] .011684 .063332 2286.163 .184 .854 -.112510 .135878
[session=5] .061035 .063332 2286.163 .964 .335 -.063159 .185228
[session=6] 0b 0 . . . . .
[burst=1] .232584 .069845 1646.532 3.330 .001 .095589 .369579
[burst=2] .201770 .071006 1646.613 2.842 .005 .062498 .341042
[burst=3] .111168 .071243 1649.332 1.560 .119 -.028568 .250905
[burst=4] .025828 .072320 1648.326 .357 .721 -.116021 .167677
[burst=5] 0b 0 . . . . .
[burst=1] * [session=1] .175488 .083433 2289.235 2.103 .036 .011876 .339100
[burst=1] * [session=2] .005638 .083144 2286.993 .068 .946 -.157408 .168684
[burst=1] * [session=3] -.138781 .083335 2288.536 -1.665 .096 -.302202 .024639
[burst=1] * [session=4] -.068072 .083400 2287.650 -.816 .414 -.231621 .095476
[burst=1] * [session=5] -.170681 .083242 2288.013 -2.050 .040 -.333918 -.007444
[burst=1] * [session=6] 0b 0 . . . . .
[burst=2] * [session=1] .123180 .085000 2287.204 1.449 .147 -.043505 .289866
[burst=2] * [session=2] -.027848 .085000 2287.204 -.328 .743 -.194533 .138838
[burst=2] * [session=3] -.049989 .085074 2285.433 -.588 .557 -.216819 .116842
[burst=2] * [session=4] -.045368 .085074 2285.433 -.533 .594 -.212199 .121462
[burst=2] * [session=5] -.145245 .085074 2285.433 -1.707 .088 -.312076 .021585
[burst=2] * [session=6] 0b 0 . . . . .
[burst=3] * [session=1] -.033735 .085417 2288.726 -.395 .693 -.201238 .133768
[burst=3] * [session=2] -.073714 .085481 2285.424 -.862 .389 -.241343 .093914
[burst=3] * [session=3] -.085891 .085481 2285.424 -1.005 .315 -.253520 .081737
[burst=3] * [session=4] -.056845 .085481 2285.424 -.665 .506 -.224474 .110783
[burst=3] * [session=5] -.065916 .085601 2286.039 -.770 .441 -.233779 .101947
[burst=3] * [session=6] 0b 0 . . . . .
[burst=4] * [session=1] .054654 .086800 2285.397 .630 .529 -.115561 .224870
[burst=4] * [session=2] -.010311 .086800 2285.397 -.119 .905 -.180526 .159905
[burst=4] * [session=3] -.002698 .086935 2286.040 -.031 .975 -.173178 .167783
[burst=4] * [session=4] .034293 .086800 2285.397 .395 .693 -.135923 .204509
[burst=4] * [session=5] -.035747 .086800 2285.397 -.412 .681 -.205963 .134469
[burst=4] * [session=6] 0b 0 . . . . .
[burst=5] * [session=1] 0b 0 . . . . .
[burst=5] * [session=2] 0b 0 . . . . .
[burst=5] * [session=3] 0b 0 . . . . .
[burst=5] * [session=4] 0b 0 . . . . .
[burst=5] * [session=5] 0b 0 . . . . .
[burst=5] * [session=6] 0b 0 . . . . .
a. Dependent Variable: posaff: Time-Varying Positive Affect.
b. This parameter is set to zero because it is redundant.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .153268 .004535 33.797 .000 .144632 .162419
Intercept [subject = PersonID] Variance .325836 .047794 6.817 .000 .244424 .434366
Intercept [subject = PersonID * burst] Variance .056771 .006275 9.047 .000 .045713 .070503
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Estimated Marginal Means


1. session: Within-Burst Session (1-6)a1. session: Within-Burst Session (1-6), table, 2 levels of column headers and 1 levels of row headers, table with 6 columns and 10 rows
session: Within-Burst Session (1-6) Mean Std. Error df 95% Confidence Interval
Lower Bound Upper Bound
1 2.572 .059 126.029 2.454 2.689
2 2.492 .059 126.006 2.374 2.609
3 2.478 .059 126.209 2.361 2.596
4 2.538 .059 126.272 2.420 2.655
5 2.531 .059 126.156 2.413 2.648
6 2.553 .059 126.379 2.436 2.671
a. Dependent Variable: posaff: Time-Varying Positive Affect.
2. burst: Measurement Burst (1-5)a2. burst: Measurement Burst (1-5), table, 2 levels of column headers and 1 levels of row headers, table with 6 columns and 9 rows
burst: Measurement Burst (1-5) Mean Std. Error df 95% Confidence Interval
Lower Bound Upper Bound
1 2.634 .062 145.474 2.512 2.755
2 2.611 .063 155.369 2.487 2.735
3 2.492 .063 157.640 2.368 2.617
4 2.466 .064 163.612 2.341 2.592
5 2.434 .065 174.795 2.306 2.562
a. Dependent Variable: posaff: Time-Varying Positive Affect.
3. session: Within-Burst Session (1-6) * burst: Measurement Burst (1-5)a3. session: Within-Burst Session (1-6) * burst: Measurement Burst (1-5), table, 2 levels of column headers and 2 levels of row headers, table with 7 columns and 34 rows
session: Within-Burst Session (1-6) burst: Measurement Burst (1-5) Mean Std. Error df 95% Confidence Interval
Lower Bound Upper Bound
1 1 2.802 .071 253.027 2.662 2.941
2 2.719 .073 275.716 2.576 2.861
3 2.471 .073 281.118 2.328 2.615
4 2.474 .074 300.833 2.328 2.620
5 2.394 .077 335.854 2.243 2.544
2 1 2.637 .070 248.404 2.498 2.776
2 2.573 .073 275.716 2.430 2.716
3 2.436 .073 283.522 2.292 2.580
4 2.414 .074 300.833 2.268 2.561
5 2.399 .077 335.854 2.248 2.549
3 1 2.513 .071 251.456 2.374 2.653
2 2.571 .073 277.829 2.428 2.714
3 2.445 .073 283.522 2.301 2.589
4 2.443 .074 303.293 2.296 2.589
5 2.420 .077 335.854 2.269 2.570
4 1 2.615 .071 253.068 2.476 2.755
2 2.607 .073 277.829 2.464 2.750
3 2.505 .073 283.522 2.361 2.649
4 2.511 .074 300.833 2.365 2.657
5 2.451 .077 335.854 2.300 2.601
5 1 2.562 .071 249.949 2.423 2.701
2 2.557 .073 277.829 2.414 2.700
3 2.545 .073 285.620 2.401 2.690
4 2.490 .074 300.833 2.344 2.636
5 2.500 .077 335.854 2.350 2.651
6 1 2.672 .071 254.599 2.532 2.811
2 2.641 .073 277.829 2.498 2.784
3 2.550 .073 283.522 2.406 2.694
4 2.465 .074 300.833 2.319 2.611
5 2.439 .077 339.127 2.288 2.590
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Eq 10b.7: Piecewise Session Slopes by Observed Burst; Three-Level Model for the Variance for Positive Affect



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
The covariance structure for random effect with only one level will be changed to Identity.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 13 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
slope12 1   1  
slope26 1   1  
burst 5   4  
burst * slope12 5   4  
burst * slope26 5   4  
Random Effects Intercept 1 Identity 1 PersonID
Intercept 1 Identity 1 PersonID * burst
Residual     1  
Total 20   18  
a. Dependent Variable: posaff: Time-Varying Positive Affect.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 3501.436
Akaike's Information Criterion (AIC) 3537.436
Hurvich and Tsai's Criterion (AICC) 3537.687
Bozdogan's Criterion (CAIC) 3661.965
Schwarz's Bayesian Criterion (BIC) 3643.965
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 9 rows
Source Numerator df Denominator df F Sig.
Intercept 1 116.668 1821.456 .000
slope12 1 2287.383 14.317 .000
slope26 1 2286.180 8.925 .003
burst 4 1032.230 3.983 .003
burst * slope12 4 2287.448 3.631 .006
burst * slope26 4 2286.227 .476 .753
a. Dependent Variable: posaff: Time-Varying Positive Affect.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 23 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 2.409149 .071231 253.574 33.822 .000 2.268870 2.549427
slope12 .015738 .056644 2284.695 .278 .781 -.095341 .126817
slope26 .016210 .014201 2285.919 1.141 .254 -.011638 .044057
[burst=1] .168156 .058707 1020.024 2.864 .004 .052957 .283356
[burst=2] .156174 .059760 1025.411 2.613 .009 .038908 .273440
[burst=3] .021332 .060011 1028.907 .355 .722 -.096426 .139091
[burst=4] .025568 .060941 1029.111 .420 .675 -.094015 .145151
[burst=5] 0b 0 . . . . .
[burst=1] * slope12 -.240334 .074493 2286.405 -3.226 .001 -.386415 -.094253
[burst=2] * slope12 -.168808 .076065 2285.012 -2.219 .027 -.317970 -.019645
[burst=3] * slope12 -.056108 .076505 2288.801 -.733 .463 -.206135 .093919
[burst=4] * slope12 -.054919 .077788 2284.785 -.706 .480 -.207461 .097624
[burst=5] * slope12 0b 0 . . . . .
[burst=1] * slope26 -.004961 .018642 2286.671 -.266 .790 -.041518 .031597
[burst=2] * slope26 -.004076 .019069 2286.766 -.214 .831 -.041471 .033318
[burst=3] * slope26 .016615 .019179 2285.449 .866 .386 -.020995 .054225
[burst=4] * slope26 -.001357 .019476 2285.435 -.070 .944 -.039549 .036835
[burst=5] * slope26 0b 0 . . . . .
a. Dependent Variable: posaff: Time-Varying Positive Affect.
b. This parameter is set to zero because it is redundant.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .154354 .004567 33.798 .000 .145657 .163570
Intercept [subject = PersonID] Variance .325917 .047809 6.817 .000 .244480 .434481
Intercept [subject = PersonID * burst] Variance .056540 .006272 9.015 .000 .045492 .070271
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Custom Hypothesis Test 1 (Session 2 at Burst 1)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 2.577305 .066392 196.795 0 38.819 .000 2.446373 2.708237
a. Session 2 at Burst 1
b. Dependent Variable: posaff: Time-Varying Positive Affect.


Custom Hypothesis Test 2 (Session 2 at Burst 2)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 2.565323 .068061 214.815 0 37.692 .000 2.431171 2.699475
a. Session 2 at Burst 2
b. Dependent Variable: posaff: Time-Varying Positive Affect.


Custom Hypothesis Test 3 (Session 2 at Burst 3)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 2.430481 .068473 219.546 0 35.496 .000 2.295533 2.565429
a. Session 2 at Burst 3
b. Dependent Variable: posaff: Time-Varying Positive Affect.


Custom Hypothesis Test 4 (Session 2 at Burst 4)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 2.434717 .069444 231.211 0 35.060 .000 2.297892 2.571541
a. Session 2 at Burst 4
b. Dependent Variable: posaff: Time-Varying Positive Affect.


Custom Hypothesis Test 5 (Session 2 at Burst 5)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 2.409149 .071231 253.574 0 33.822 .000 2.268870 2.549427
a. Session 2 at Burst 5
b. Dependent Variable: posaff: Time-Varying Positive Affect.


Custom Hypothesis Test 6 (Slope12 at Burst 1)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.224596 .048380 2288.754 0 -4.642 .000 -.319469 -.129722
a. Slope12 at Burst 1
b. Dependent Variable: posaff: Time-Varying Positive Affect.


Custom Hypothesis Test 7 (Slope12 at Burst 2)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.153069 .050767 2285.405 0 -3.015 .003 -.252623 -.053516
a. Slope12 at Burst 2
b. Dependent Variable: posaff: Time-Varying Positive Affect.


Custom Hypothesis Test 8 (Slope12 at Burst 3)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.040370 .051425 2293.768 0 -.785 .433 -.141214 .060475
a. Slope12 at Burst 3
b. Dependent Variable: posaff: Time-Varying Positive Affect.


Custom Hypothesis Test 9 (Slope12 at Burst 4)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.039180 .053315 2284.886 0 -.735 .462 -.143730 .065370
a. Slope12 at Burst 4
b. Dependent Variable: posaff: Time-Varying Positive Affect.


Custom Hypothesis Test 10 (Slope12 at Burst 5)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 .015738 .056644 2284.695 0 .278 .781 -.095341 .126817
a. Slope12 at Burst 5
b. Dependent Variable: posaff: Time-Varying Positive Affect.


Custom Hypothesis Test 11 (Slope26 at Burst 1)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 .011249 .012078 2287.723 0 .931 .352 -.012436 .034934
a. Slope26 at Burst 1
b. Dependent Variable: posaff: Time-Varying Positive Affect.


Custom Hypothesis Test 12 (Slope26 at Burst 2)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 .012133 .012727 2287.830 0 .953 .340 -.012824 .037090
a. Slope26 at Burst 2
b. Dependent Variable: posaff: Time-Varying Positive Affect.


Custom Hypothesis Test 13 (Slope26 at Burst 3)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 .032825 .012891 2284.882 0 2.546 .011 .007546 .058104
a. Slope26 at Burst 3
b. Dependent Variable: posaff: Time-Varying Positive Affect.


Custom Hypothesis Test 14 (Slope26 at Burst 4)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 .014853 .013329 2284.886 0 1.114 .265 -.011285 .040990
a. Slope26 at Burst 4
b. Dependent Variable: posaff: Time-Varying Positive Affect.


Custom Hypothesis Test 15 (Slope26 at Burst 5)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 .016210 .014201 2285.919 0 1.141 .254 -.011638 .044057
a. Slope26 at Burst 5
b. Dependent Variable: posaff: Time-Varying Positive Affect.


Eq 10b.11and12: Piecewise Session Slopes, Linear Burst, Slope12 by Burst1or2; Three-Level Model for the Variance for Positive Affect



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
The covariance structure for random effect with only one level will be changed to Identity.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 12 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
burst1 1   1  
slope12 1   1  
slope12 * b1or2 1   1  
slope26 1   1  
Random Effects Intercept 1 Identity 1 PersonID
Intercept 1 Identity 1 PersonID * burst
Residual     1  
Total 7   8  
a. Dependent Variable: posaff: Time-Varying Positive Affect.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 3506.650
Akaike's Information Criterion (AIC) 3522.650
Hurvich and Tsai's Criterion (AICC) 3522.703
Bozdogan's Criterion (CAIC) 3577.996
Schwarz's Bayesian Criterion (BIC) 3569.996
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 8 rows
Source Numerator df Denominator df F Sig.
Intercept 1 137.835 1800.279 .000
burst1 1 389.466 20.089 .000
slope12 1 2313.663 .169 .681
slope12 * b1or2 1 2355.932 22.898 .000
slope26 1 2286.222 8.879 .003
a. Dependent Variable: posaff: Time-Varying Positive Affect.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 9 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 2.573432 .060652 137.835 42.430 .000 2.453504 2.693360
burst1 -.045126 .010068 389.466 -4.482 .000 -.064921 -.025332
slope12 -.011975 .029171 2313.663 -.410 .681 -.069179 .045230
slope12 * b1or2 -.192646 .040259 2355.932 -4.785 .000 -.271593 -.113699
slope26 .017326 .005814 2286.222 2.980 .003 .005924 .028728
a. Dependent Variable: posaff: Time-Varying Positive Affect.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .154645 .004576