Chapter 8: Descriptive Statistics for Time-Invariant Variables |
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Chapter 8: Descriptive Statistics for Time-Varying Variables |
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Eq 8.1: Conditional Baseline Model |
Just Sex and Age in the Model for the Means |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 2 |
Columns in X | 4 |
Columns in Z Per Subject | 1 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1704.13890542 | |
1 | 2 | 1432.58060818 | 0.00001063 |
2 | 1 | 1432.57794163 | 0.00000000 |
Convergence criteria met. |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
UN(1,1) | PersonID | 1.0726 | 0.1667 | 6.43 | <.0001 |
Residual | 0.6152 | 0.04333 | 14.20 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1432.6 |
AIC (smaller is better) | 1444.6 |
AICC (smaller is better) | 1444.7 |
BIC (smaller is better) | 1460.5 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
1 | 271.56 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1432.6 | 6 | 1444.6 | 1444.7 | 1451.0 | 1460.5 | 1466.5 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 1.7127 | 0.2108 | 106 | 8.13 | <.0001 | 0.05 | 1.2949 | 2.1306 |
women | -0.5306 | 0.2451 | 105 | -2.16 | 0.0327 | 0.05 | -1.0166 | -0.04463 |
age80 | 0.10000 | 0.03706 | 108 | 2.70 | 0.0081 | 0.05 | 0.02655 | 0.1735 |
women*age80 | -0.1104 | 0.04220 | 107 | -2.62 | 0.0102 | 0.05 | -0.1941 | -0.02677 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 105 | 4.69 | 4.69 | 0.0304 | 0.0327 |
age80 | 1 | 108 | 7.28 | 7.28 | 0.0070 | 0.0081 |
women*age80 | 1 | 107 | 6.85 | 6.85 | 0.0089 | 0.0102 |
Ch 8: Empty Means, Random Intercept Model for Negative Mood Predictor |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | mood |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 2 |
Columns in X | 1 |
Columns in Z Per Subject | 1 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 458.47631221 | |
1 | 2 | 373.70453181 | 0.00001293 |
2 | 1 | 373.70086152 | 0.00000000 |
Convergence criteria met. |
Estimated V Matrix for PersonID 102 | |||||
---|---|---|---|---|---|
Row | Col1 | Col2 | Col3 | Col4 | Col5 |
1 | 0.1454 | 0.05239 | 0.05239 | 0.05239 | 0.05239 |
2 | 0.05239 | 0.1454 | 0.05239 | 0.05239 | 0.05239 |
3 | 0.05239 | 0.05239 | 0.1454 | 0.05239 | 0.05239 |
4 | 0.05239 | 0.05239 | 0.05239 | 0.1454 | 0.05239 |
5 | 0.05239 | 0.05239 | 0.05239 | 0.05239 | 0.1454 |
Estimated V Correlation Matrix for PersonID 102 | |||||
---|---|---|---|---|---|
Row | Col1 | Col2 | Col3 | Col4 | Col5 |
1 | 1.0000 | 0.3602 | 0.3602 | 0.3602 | 0.3602 |
2 | 0.3602 | 1.0000 | 0.3602 | 0.3602 | 0.3602 |
3 | 0.3602 | 0.3602 | 1.0000 | 0.3602 | 0.3602 |
4 | 0.3602 | 0.3602 | 0.3602 | 1.0000 | 0.3602 |
5 | 0.3602 | 0.3602 | 0.3602 | 0.3602 | 1.0000 |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
UN(1,1) | PersonID | 0.05239 | 0.01010 | 5.19 | <.0001 |
Residual | 0.09305 | 0.006563 | 14.18 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 373.7 |
AIC (smaller is better) | 379.7 |
AICC (smaller is better) | 379.7 |
BIC (smaller is better) | 387.7 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
1 | 84.78 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
373.7 | 3 | 379.7 | 379.7 | 382.9 | 387.7 | 390.7 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 1.2044 | 0.02614 | 103 | 46.07 | <.0001 | 0.05 | 1.1525 | 1.2562 |
Eq 8.3: Adding BP and WP Effects of Negative Mood to the Model for the Means |
Using Person-Mean-Centering for Negative Mood |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 2 |
Columns in X | 6 |
Columns in Z Per Subject | 1 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1618.11646622 | |
1 | 2 | 1405.68112526 | 0.00003345 |
2 | 1 | 1405.67313585 | 0.00000002 |
3 | 1 | 1405.67313117 | 0.00000000 |
Convergence criteria met. |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
UN(1,1) | PersonID | 0.8162 | 0.1314 | 6.21 | <.0001 |
Residual | 0.6127 | 0.04317 | 14.19 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1405.7 |
AIC (smaller is better) | 1421.7 |
AICC (smaller is better) | 1422.0 |
BIC (smaller is better) | 1442.9 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
1 | 212.44 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1405.7 | 8 | 1421.7 | 1422.0 | 1430.3 | 1442.9 | 1450.9 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 3.2655 | 0.3458 | 106 | 9.44 | <.0001 | 0.05 | 2.5799 | 3.9511 |
women | -0.5181 | 0.2175 | 105 | -2.38 | 0.0190 | 0.05 | -0.9494 | -0.08688 |
age80 | 0.06690 | 0.03349 | 108 | 2.00 | 0.0483 | 0.05 | 0.000507 | 0.1333 |
women*age80 | -0.09176 | 0.03764 | 107 | -2.44 | 0.0164 | 0.05 | -0.1664 | -0.01715 |
PMmood2 | 1.9701 | 0.3687 | 105 | 5.34 | <.0001 | 0.05 | 1.2390 | 2.7012 |
WPmood | 0.1591 | 0.1277 | 404 | 1.25 | 0.2136 | 0.05 | -0.09197 | 0.4102 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 105 | 5.67 | 5.67 | 0.0172 | 0.0190 |
age80 | 1 | 108 | 3.99 | 3.99 | 0.0458 | 0.0483 |
women*age80 | 1 | 107 | 5.94 | 5.94 | 0.0148 | 0.0164 |
PMmood2 | 1 | 105 | 28.55 | 28.55 | <.0001 | <.0001 |
WPmood | 1 | 404 | 1.55 | 1.55 | 0.2129 | 0.2136 |
Estimates | ||||||||
---|---|---|---|---|---|---|---|---|
Label | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Age Slope for Men | 0.06690 | 0.03349 | 108 | 2.00 | 0.0483 | 0.05 | 0.000507 | 0.1333 |
Age Slope for Women | -0.02486 | 0.01810 | 104 | -1.37 | 0.1725 | 0.05 | -0.06076 | 0.01103 |
Contextual Negative Mood Effect | 1.8110 | 0.3910 | 132 | 4.63 | <.0001 | 0.05 | 1.0376 | 2.5844 |
Predicted Symptoms for PMmood=2 WPmood=-1 | 3.1064 | 0.3688 | 136 | 8.42 | <.0001 | 0.05 | 2.3771 | 3.8356 |
Predicted Symptoms for PMmood=2 WPmood=0 | 3.2655 | 0.3458 | 106 | 9.44 | <.0001 | 0.05 | 2.5799 | 3.9511 |
Predicted Symptoms for PMmood=2 WPmood=1 | 3.4246 | 0.3685 | 136 | 9.29 | <.0001 | 0.05 | 2.6958 | 4.1533 |
Predicted Symptoms for PMmood=3 WPmood=-1 | 5.0765 | 0.6979 | 113 | 7.27 | <.0001 | 0.05 | 3.6939 | 6.4591 |
Predicted Symptoms for PMmood=3 WPmood=0 | 5.2356 | 0.6856 | 105 | 7.64 | <.0001 | 0.05 | 3.8763 | 6.5949 |
Predicted Symptoms for PMmood=3 WPmood=1 | 5.3947 | 0.6969 | 112 | 7.74 | <.0001 | 0.05 | 4.0140 | 6.7754 |
Predicted Symptoms for PMmood=1 WPmood=0 | 1.2954 | 0.2027 | 105 | 6.39 | <.0001 | 0.05 | 0.8936 | 1.6972 |
Predicted Symptoms for PMmood=2 WPmood=0 | 3.2655 | 0.3458 | 106 | 9.44 | <.0001 | 0.05 | 2.5799 | 3.9511 |
Predicted Symptoms for PMmood=3 WPmood=0 | 5.2356 | 0.6856 | 105 | 7.64 | <.0001 | 0.05 | 3.8763 | 6.5949 |
Predicted Symptoms for PMmood=4 WPmood=0 | 7.2057 | 1.0452 | 105 | 6.89 | <.0001 | 0.05 | 5.1333 | 9.2780 |
Contrasts | ||||||
---|---|---|---|---|---|---|
Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
Multivariate Test of BP and WP Negative Mood Fixed Effects | 2 | 166 | 30.18 | 15.09 | <.0001 | <.0001 |
Likelihood Ratio Test for FitSexAge vs. FitBPWPMood |
Name | Neg2LogLike | Parms | AIC | BIC | DevDiff | DFdiff | Pvalue |
---|---|---|---|---|---|---|---|
FitSexAge | 1432.6 | 6 | 1444.6 | 1460.5 | . | . | . |
FitBPWPMood | 1405.7 | 8 | 1421.7 | 1442.9 | 26.9048 | 2 | .000001438 |
PsuedoR2 (% Reduction) for CovSexAge vs. CovBPWPMood |
Name | CovParm | Subject | Estimate | StdErr | ZValue | ProbZ | PseudoR2 |
---|---|---|---|---|---|---|---|
CovSexAge | UN(1,1) | PersonID | 1.0726 | 0.1667 | 6.43 | <.0001 | . |
CovSexAge | Residual | 0.6152 | 0.04333 | 14.20 | <.0001 | . | |
CovBPWPMood | UN(1,1) | PersonID | 0.8162 | 0.1314 | 6.21 | <.0001 | 0.23911 |
CovBPWPMood | Residual | 0.6127 | 0.04317 | 14.19 | <.0001 | 0.00401 |
Total R2 (% Reduction) for PredSexAge vs. PredBPWPMood |
Name | PredCorr | TotalR2 | TotalR2Diff |
---|---|---|---|
PredSexAge | 0.22012 | 0.04845 | . |
PredBPWPMood | 0.44243 | 0.19574 | 0.14729 |
Eq 8.5: Adding Smushed Effect of Negative Mood to the Model for the Means |
Using Grand-Mean-Centering for Negative Mood |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 2 |
Columns in X | 5 |
Columns in Z Per Subject | 1 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1659.95088988 | |
1 | 2 | 1425.81243668 | 0.00121733 |
2 | 1 | 1425.48882771 | 0.00002421 |
3 | 1 | 1425.48281288 | 0.00000001 |
4 | 1 | 1425.48281020 | 0.00000000 |
Convergence criteria met. |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
UN(1,1) | PersonID | 0.9962 | 0.1585 | 6.29 | <.0001 |
Residual | 0.6149 | 0.04347 | 14.14 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1425.5 |
AIC (smaller is better) | 1439.5 |
AICC (smaller is better) | 1439.7 |
BIC (smaller is better) | 1458.1 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
1 | 234.47 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1425.5 | 7 | 1439.5 | 1439.7 | 1447.0 | 1458.1 | 1465.1 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 1.9756 | 0.2261 | 148 | 8.74 | <.0001 | 0.05 | 1.5289 | 2.4224 |
women | -0.5324 | 0.2372 | 103 | -2.24 | 0.0270 | 0.05 | -1.0029 | -0.06184 |
age80 | 0.09535 | 0.03591 | 105 | 2.65 | 0.0092 | 0.05 | 0.02414 | 0.1666 |
women*age80 | -0.1083 | 0.04086 | 104 | -2.65 | 0.0093 | 0.05 | -0.1893 | -0.02731 |
mood2 | 0.3295 | 0.1217 | 472 | 2.71 | 0.0070 | 0.05 | 0.09029 | 0.5687 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 103 | 5.04 | 5.04 | 0.0248 | 0.0270 |
age80 | 1 | 105 | 7.05 | 7.05 | 0.0079 | 0.0092 |
women*age80 | 1 | 104 | 7.03 | 7.03 | 0.0080 | 0.0093 |
mood2 | 1 | 472 | 7.33 | 7.33 | 0.0068 | 0.0070 |
Estimates | ||||||||
---|---|---|---|---|---|---|---|---|
Label | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Age Slope for Men | 0.09535 | 0.03591 | 105 | 2.65 | 0.0092 | 0.05 | 0.02414 | 0.1666 |
Age Slope for Women | -0.01298 | 0.01956 | 101 | -0.66 | 0.5086 | 0.05 | -0.05177 | 0.02582 |
PsuedoR2 (% Reduction) for CovSexAge vs. CovSmushMood |
Name | CovParm | Subject | Estimate | StdErr | ZValue | ProbZ | PseudoR2 |
---|---|---|---|---|---|---|---|
CovSexAge | UN(1,1) | PersonID | 1.0726 | 0.1667 | 6.43 | <.0001 | . |
CovSexAge | Residual | 0.6152 | 0.04333 | 14.20 | <.0001 | . | |
CovSmushMood | UN(1,1) | PersonID | 0.9962 | 0.1585 | 6.29 | <.0001 | 0.071222 |
CovSmushMood | Residual | 0.6149 | 0.04347 | 14.14 | <.0001 | 0.000468 |
Eq 8.7: Adding a Contextual Effect of Negative Mood to the Model for the Means |
Using Person-Mean-Centering for Negative Mood |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 2 |
Columns in X | 6 |
Columns in Z Per Subject | 1 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1618.11646622 | |
1 | 2 | 1405.68112526 | 0.00003345 |
2 | 1 | 1405.67313585 | 0.00000002 |
3 | 1 | 1405.67313117 | 0.00000000 |
Convergence criteria met. |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
UN(1,1) | PersonID | 0.8162 | 0.1314 | 6.21 | <.0001 |
Residual | 0.6127 | 0.04317 | 14.19 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1405.7 |
AIC (smaller is better) | 1421.7 |
AICC (smaller is better) | 1422.0 |
BIC (smaller is better) | 1442.9 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
1 | 212.44 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1405.7 | 8 | 1421.7 | 1422.0 | 1430.3 | 1442.9 | 1450.9 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 3.2655 | 0.3458 | 106 | 9.44 | <.0001 | 0.05 | 2.5799 | 3.9511 |
women | -0.5181 | 0.2175 | 105 | -2.38 | 0.0190 | 0.05 | -0.9494 | -0.08688 |
age80 | 0.06690 | 0.03349 | 108 | 2.00 | 0.0483 | 0.05 | 0.000507 | 0.1333 |
women*age80 | -0.09176 | 0.03764 | 107 | -2.44 | 0.0164 | 0.05 | -0.1664 | -0.01715 |
mood2 | 0.1591 | 0.1277 | 404 | 1.25 | 0.2136 | 0.05 | -0.09197 | 0.4102 |
PMmood2 | 1.8110 | 0.3910 | 132 | 4.63 | <.0001 | 0.05 | 1.0376 | 2.5844 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 105 | 5.67 | 5.67 | 0.0172 | 0.0190 |
age80 | 1 | 108 | 3.99 | 3.99 | 0.0458 | 0.0483 |
women*age80 | 1 | 107 | 5.94 | 5.94 | 0.0148 | 0.0164 |
mood2 | 1 | 404 | 1.55 | 1.55 | 0.2129 | 0.2136 |
PMmood2 | 1 | 132 | 21.45 | 21.45 | <.0001 | <.0001 |
Estimates | ||||||||
---|---|---|---|---|---|---|---|---|
Label | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Age Slope for Men | 0.06690 | 0.03349 | 108 | 2.00 | 0.0483 | 0.05 | 0.000507 | 0.1333 |
Age Slope for Women | -0.02486 | 0.01810 | 104 | -1.37 | 0.1725 | 0.05 | -0.06076 | 0.01103 |
Between-Person Negative Mood Effect | 1.9701 | 0.3687 | 105 | 5.34 | <.0001 | 0.05 | 1.2390 | 2.7012 |
PsuedoR2 (% Reduction) for CovSmushMood vs. CovBPWPMood |
Name | CovParm | Subject | Estimate | StdErr | ZValue | ProbZ | PseudoR2 |
---|---|---|---|---|---|---|---|
CovSmushMood | UN(1,1) | PersonID | 0.9962 | 0.1585 | 6.29 | <.0001 | . |
CovSmushMood | Residual | 0.6149 | 0.04347 | 14.14 | <.0001 | . | |
CovBPWPMood | UN(1,1) | PersonID | 0.8162 | 0.1314 | 6.21 | <.0001 | 0.18076 |
CovBPWPMood | Residual | 0.6127 | 0.04317 | 14.19 | <.0001 | 0.00355 |
PsuedoR2 (% Reduction) for CovSexAge vs. CovBPWPMood |
Name | CovParm | Subject | Estimate | StdErr | ZValue | ProbZ | PseudoR2 |
---|---|---|---|---|---|---|---|
CovSexAge | UN(1,1) | PersonID | 1.0726 | 0.1667 | 6.43 | <.0001 | . |
CovSexAge | Residual | 0.6152 | 0.04333 | 14.20 | <.0001 | . | |
CovBPWPMood | UN(1,1) | PersonID | 0.8162 | 0.1314 | 6.21 | <.0001 | 0.23911 |
CovBPWPMood | Residual | 0.6127 | 0.04317 | 14.19 | <.0001 | 0.00401 |
Total R2 (% Reduction) for PredSexAge vs. PredBPWPMood2 |
Name | PredCorr | TotalR2 | TotalR2Diff |
---|---|---|---|
PredSexAge | 0.22012 | 0.04845 | . |
PredBPWPMood2 | 0.44243 | 0.19574 | 0.14729 |
Eq 8.9: Adding a Random Effect of Negative Mood to the Model for the Variance |
Using Person-Mean-Centering for Negative Mood |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 4 |
Columns in X | 6 |
Columns in Z Per Subject | 2 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1618.11646622 | |
1 | 3 | 1404.16836625 | 0.00007589 |
2 | 1 | 1404.15010953 | 0.00000014 |
3 | 1 | 1404.15007702 | 0.00000000 |
Convergence criteria met. |
Estimated G Matrix | ||||
---|---|---|---|---|
Row | Effect | PersonID: Person ID variable |
Col1 | Col2 |
1 | Intercept | 102 | 0.8172 | 0.1326 |
2 | WPmood | 102 | 0.1326 | 0.06233 |
Estimated G Correlation Matrix | ||||
---|---|---|---|---|
Row | Effect | PersonID: Person ID variable |
Col1 | Col2 |
1 | Intercept | 102 | 1.0000 | 0.5875 |
2 | WPmood | 102 | 0.5875 | 1.0000 |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr Z |
UN(1,1) | PersonID | 0.8172 | 0.1315 | 6.22 | <.0001 |
UN(2,1) | PersonID | 0.1326 | 0.1355 | 0.98 | 0.3280 |
UN(2,2) | PersonID | 0.06233 | 0.1403 | 0.44 | 0.3284 |
Residual | 0.6066 | 0.04458 | 13.61 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1404.2 |
AIC (smaller is better) | 1424.2 |
AICC (smaller is better) | 1424.6 |
BIC (smaller is better) | 1450.7 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
3 | 213.97 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1404.2 | 10 | 1424.2 | 1424.6 | 1434.9 | 1450.7 | 1460.7 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 3.2725 | 0.3445 | 106 | 9.50 | <.0001 | 0.05 | 2.5895 | 3.9555 |
women | -0.5361 | 0.2162 | 105 | -2.48 | 0.0148 | 0.05 | -0.9649 | -0.1074 |
age80 | 0.06633 | 0.03320 | 105 | 2.00 | 0.0483 | 0.05 | 0.000507 | 0.1322 |
women*age80 | -0.09271 | 0.03733 | 105 | -2.48 | 0.0146 | 0.05 | -0.1667 | -0.01869 |
PMmood2 | 1.9611 | 0.3675 | 105 | 5.34 | <.0001 | 0.05 | 1.2324 | 2.6897 |
WPmood | 0.1589 | 0.1350 | 28.4 | 1.18 | 0.2489 | 0.05 | -0.1174 | 0.4351 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 105 | 6.15 | 6.15 | 0.0132 | 0.0148 |
age80 | 1 | 105 | 3.99 | 3.99 | 0.0457 | 0.0483 |
women*age80 | 1 | 105 | 6.17 | 6.17 | 0.0130 | 0.0146 |
PMmood2 | 1 | 105 | 28.48 | 28.48 | <.0001 | <.0001 |
WPmood | 1 | 28.4 | 1.39 | 1.39 | 0.2392 | 0.2489 |
Likelihood Ratio Test for FitBPWPMood vs. FitRandPMC |
Name | Neg2LogLike | Parms | AIC | BIC | DevDiff | DFdiff | Pvalue |
---|---|---|---|---|---|---|---|
FitBPWPMood | 1405.7 | 8 | 1421.7 | 1442.9 | . | . | . |
FitRandPMC | 1404.2 | 10 | 1424.2 | 1450.7 | 1.52305 | 2 | 0.46695 |
Eq 8.9: Adding a Random Effect of Negative Mood to the Model for the Variance |
Using Grand-Mean-Centering for Negative Mood |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 4 |
Columns in X | 6 |
Columns in Z Per Subject | 2 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1618.11646622 | |
1 | 2 | 1403.40482038 | 0.00000619 |
2 | 1 | 1403.40334602 | 0.00000000 |
Convergence criteria met. |
Estimated G Matrix | ||||
---|---|---|---|---|
Row | Effect | PersonID: Person ID variable |
Col1 | Col2 |
1 | Intercept | 102 | 1.0996 | 0.2071 |
2 | mood2 | 102 | 0.2071 | 0.06260 |
Estimated G Correlation Matrix | ||||
---|---|---|---|---|
Row | Effect | PersonID: Person ID variable |
Col1 | Col2 |
1 | Intercept | 102 | 1.0000 | 0.7895 |
2 | mood2 | 102 | 0.7895 | 1.0000 |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr Z |
UN(1,1) | PersonID | 1.0996 | 0.2844 | 3.87 | <.0001 |
UN(2,1) | PersonID | 0.2071 | 0.1692 | 1.22 | 0.2208 |
UN(2,2) | PersonID | 0.06260 | 0.1379 | 0.45 | 0.3249 |
Residual | 0.6076 | 0.04459 | 13.63 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1403.4 |
AIC (smaller is better) | 1423.4 |
AICC (smaller is better) | 1423.8 |
BIC (smaller is better) | 1449.9 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
3 | 214.71 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1403.4 | 10 | 1423.4 | 1423.8 | 1434.2 | 1449.9 | 1459.9 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 3.3666 | 0.3693 | 80.8 | 9.12 | <.0001 | 0.05 | 2.6318 | 4.1014 |
women | -0.5158 | 0.2152 | 104 | -2.40 | 0.0183 | 0.05 | -0.9426 | -0.08896 |
age80 | 0.06202 | 0.03349 | 110 | 1.85 | 0.0668 | 0.05 | -0.00436 | 0.1284 |
women*age80 | -0.08701 | 0.03763 | 109 | -2.31 | 0.0227 | 0.05 | -0.1616 | -0.01242 |
mood2 | 0.1711 | 0.1347 | 29.6 | 1.27 | 0.2139 | 0.05 | -0.1042 | 0.4464 |
PMmood2 | 1.9276 | 0.3966 | 133 | 4.86 | <.0001 | 0.05 | 1.1430 | 2.7121 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 104 | 5.74 | 5.74 | 0.0166 | 0.0183 |
age80 | 1 | 110 | 3.43 | 3.43 | 0.0641 | 0.0668 |
women*age80 | 1 | 109 | 5.34 | 5.34 | 0.0208 | 0.0227 |
mood2 | 1 | 29.6 | 1.61 | 1.61 | 0.2040 | 0.2139 |
PMmood2 | 1 | 133 | 23.62 | 23.62 | <.0001 | <.0001 |
Likelihood Ratio Test for FitBPWPMood vs. FitRandGMC |
Name | Neg2LogLike | Parms | AIC | BIC | DevDiff | DFdiff | Pvalue |
---|---|---|---|---|---|---|---|
FitBPWPMood | 1405.7 | 8 | 1421.7 | 1442.9 | . | . | . |
FitRandGMC | 1403.4 | 10 | 1423.4 | 1449.9 | 2.26979 | 2 | 0.32146 |
Eq 8.10: Adding Contextual and WP Effects of Stressors to the Model for the Means |
Using Person-Mean-Centering for Negative Mood, Grand-Mean-Centering for Stressors |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 2 |
Columns in X | 8 |
Columns in Z Per Subject | 1 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1580.56060061 | |
1 | 2 | 1392.81302475 | 0.00002337 |
2 | 1 | 1392.80761036 | 0.00000001 |
Convergence criteria met. |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
UN(1,1) | PersonID | 0.7134 | 0.1172 | 6.09 | <.0001 |
Residual | 0.6116 | 0.04310 | 14.19 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1392.8 |
AIC (smaller is better) | 1412.8 |
AICC (smaller is better) | 1413.2 |
BIC (smaller is better) | 1439.3 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
1 | 187.75 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1392.8 | 10 | 1412.8 | 1413.2 | 1423.6 | 1439.3 | 1449.3 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 2.7837 | 0.3518 | 110 | 7.91 | <.0001 | 0.05 | 2.0864 | 3.4810 |
women | -0.5125 | 0.2054 | 105 | -2.50 | 0.0141 | 0.05 | -0.9197 | -0.1053 |
age80 | 0.07288 | 0.03170 | 108 | 2.30 | 0.0234 | 0.05 | 0.01004 | 0.1357 |
women*age80 | -0.09362 | 0.03556 | 107 | -2.63 | 0.0097 | 0.05 | -0.1641 | -0.02312 |
PMmood2 | 1.4768 | 0.3742 | 105 | 3.95 | 0.0001 | 0.05 | 0.7348 | 2.2187 |
WPmood | 0.1339 | 0.1305 | 404 | 1.03 | 0.3056 | 0.05 | -0.1227 | 0.3905 |
PMstressor40 | 0.9432 | 0.3031 | 128 | 3.11 | 0.0023 | 0.05 | 0.3435 | 1.5430 |
stressor | 0.08555 | 0.09691 | 403 | 0.88 | 0.3779 | 0.05 | -0.1050 | 0.2761 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 105 | 6.23 | 6.23 | 0.0126 | 0.0141 |
age80 | 1 | 108 | 5.29 | 5.29 | 0.0215 | 0.0234 |
women*age80 | 1 | 107 | 6.93 | 6.93 | 0.0085 | 0.0097 |
PMmood2 | 1 | 105 | 15.58 | 15.58 | <.0001 | 0.0001 |
WPmood | 1 | 404 | 1.05 | 1.05 | 0.3050 | 0.3056 |
PMstressor40 | 1 | 128 | 9.68 | 9.68 | 0.0019 | 0.0023 |
stressor | 1 | 403 | 0.78 | 0.78 | 0.3774 | 0.3779 |
Estimates | ||||||||
---|---|---|---|---|---|---|---|---|
Label | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept for Women | 2.2712 | 0.3230 | 109 | 7.03 | <.0001 | 0.05 | 1.6310 | 2.9114 |
Age Slope for Women | -0.02074 | 0.01712 | 103 | -1.21 | 0.2285 | 0.05 | -0.05469 | 0.01321 |
Contextual Negative Mood Effect | 1.3429 | 0.3969 | 133 | 3.38 | 0.0009 | 0.05 | 0.5578 | 2.1280 |
Between-Person Stressor Effect | 1.0288 | 0.2874 | 104 | 3.58 | 0.0005 | 0.05 | 0.4589 | 1.5986 |
Contextual Negative Mood Effect Per Day | 0.2954 | 0.07484 | 105 | 3.95 | 0.0001 | 0.05 | 0.1470 | 0.4437 |
Contrasts | ||||||
---|---|---|---|---|---|---|
Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
Multivariate Test of Stressor Fixed Effects | 2 | 210 | 13.59 | 6.79 | 0.0011 | 0.0014 |
Likelihood Ratio Test for FitBPWPMood vs. FitBPWPStressor |
Name | Neg2LogLike | Parms | AIC | BIC | DevDiff | DFdiff | Pvalue |
---|---|---|---|---|---|---|---|
FitBPWPMood | 1405.7 | 8 | 1421.7 | 1442.9 | . | . | . |
FitBPWPStressor | 1392.8 | 10 | 1412.8 | 1439.3 | 12.8655 | 2 | .001608006 |
Likelihood Ratio Test for FitSexAge vs. FitBPWPStressor |
Name | Neg2LogLike | Parms | AIC | BIC | DevDiff | DFdiff | Pvalue |
---|---|---|---|---|---|---|---|
FitSexAge | 1432.6 | 6 | 1444.6 | 1460.5 | . | . | . |
FitBPWPStressor | 1392.8 | 10 | 1412.8 | 1439.3 | 39.7703 | 4 | 4.8286E-8 |
PsuedoR2 (% Reduction) for CovBPWPMood vs. CovBPWPStressor |
Name | CovParm | Subject | Estimate | StdErr | ZValue | ProbZ | PseudoR2 |
---|---|---|---|---|---|---|---|
CovBPWPMood | UN(1,1) | PersonID | 0.8162 | 0.1314 | 6.21 | <.0001 | . |
CovBPWPMood | Residual | 0.6127 | 0.04317 | 14.19 | <.0001 | . | |
CovBPWPStressor | UN(1,1) | PersonID | 0.7134 | 0.1172 | 6.09 | <.0001 | 0.12594 |
CovBPWPStressor | Residual | 0.6116 | 0.04310 | 14.19 | <.0001 | 0.00181 |
Total R2 (% Reduction) for PredBPWPMood vs. PredBPWPStressor |
Name | PredCorr | TotalR2 | TotalR2Diff |
---|---|---|---|
PredBPWPMood | 0.44243 | 0.19574 | . |
PredBPWPStressor | 0.50294 | 0.25295 | 0.057211 |
Total R2 (% Reduction) for PredSexAge vs. PredBPWPStressor |
Name | PredCorr | TotalR2 | TotalR2Diff |
---|---|---|---|
PredSexAge | 0.22012 | 0.04845 | . |
PredBPWPStressor | 0.50294 | 0.25295 | 0.20450 |
Ch 8: Adding Random WP Effect of Stressors to the Model for the Variance |
Using Person-Mean-Centering for Negative Mood, Grand-Mean-Centering for Stressors |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 4 |
Columns in X | 8 |
Columns in Z Per Subject | 2 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1580.56060061 | |
1 | 4 | 1387.37982914 | 0.03293305 |
2 | 2 | 1383.94635297 | 0.00258035 |
3 | 1 | 1383.29482264 | 0.00012855 |
4 | 1 | 1383.26504308 | 0.00000038 |
5 | 1 | 1383.26495826 | 0.00000000 |
Convergence criteria met. |
Estimated G Matrix | ||||
---|---|---|---|---|
Row | Effect | PersonID: Person ID variable |
Col1 | Col2 |
1 | Intercept | 102 | 0.4645 | 0.2480 |
2 | stressor | 102 | 0.2480 |
Estimated G Correlation Matrix | ||||
---|---|---|---|---|
Row | Effect | PersonID: Person ID variable |
Col1 | Col2 |
1 | Intercept | 102 | 1.0000 | |
2 | stressor | 102 | 1.0000 |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr Z |
UN(1,1) | PersonID | 0.4645 | 0.1059 | 4.39 | <.0001 |
UN(2,1) | PersonID | 0.2480 | 0.07889 | 3.14 | 0.0017 |
UN(2,2) | PersonID | 0 | . | . | . |
Residual | 0.6183 | 0.04384 | 14.10 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1383.3 |
AIC (smaller is better) | 1405.3 |
AICC (smaller is better) | 1405.8 |
BIC (smaller is better) | 1434.5 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
2 | 197.30 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1383.3 | 11 | 1405.3 | 1405.8 | 1417.1 | 1434.5 | 1445.5 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 2.7789 | 0.3455 | 116 | 8.04 | <.0001 | 0.05 | 2.0946 | 3.4632 |
women | -0.3617 | 0.1910 | 96 | -1.89 | 0.0613 | 0.05 | -0.7409 | 0.01753 |
age80 | 0.06903 | 0.02999 | 105 | 2.30 | 0.0233 | 0.05 | 0.009573 | 0.1285 |
women*age80 | -0.09119 | 0.03348 | 102 | -2.72 | 0.0076 | 0.05 | -0.1576 | -0.02478 |
PMmood2 | 1.6044 | 0.3751 | 115 | 4.28 | <.0001 | 0.05 | 0.8615 | 2.3474 |
WPmood | 0.1412 | 0.1298 | 399 | 1.09 | 0.2773 | 0.05 | -0.1140 | 0.3964 |
PMstressor40 | 0.9302 | 0.2911 | 124 | 3.20 | 0.0018 | 0.05 | 0.3541 | 1.5063 |
stressor | 0.07724 | 0.09521 | 372 | 0.81 | 0.4177 | 0.05 | -0.1100 | 0.2645 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 96 | 3.58 | 3.58 | 0.0583 | 0.0613 |
age80 | 1 | 105 | 5.30 | 5.30 | 0.0213 | 0.0233 |
women*age80 | 1 | 102 | 7.42 | 7.42 | 0.0065 | 0.0076 |
PMmood2 | 1 | 115 | 18.30 | 18.30 | <.0001 | <.0001 |
WPmood | 1 | 399 | 1.18 | 1.18 | 0.2766 | 0.2773 |
PMstressor40 | 1 | 124 | 10.21 | 10.21 | 0.0014 | 0.0018 |
stressor | 1 | 372 | 0.66 | 0.66 | 0.4172 | 0.4177 |
Likelihood Ratio Test for FitBPWPStressor vs. FitBPWPStressorR |
Name | Neg2LogLike | Parms | AIC | BIC | DevDiff | DFdiff | Pvalue |
---|---|---|---|---|---|---|---|
FitBPWPStressor | 1392.8 | 10 | 1412.8 | 1439.3 | . | . | . |
FitBPWPStressorR | 1383.3 | 11 | 1405.3 | 1434.5 | 9.54265 | 1 | .002007515 |
Eq 8.11: Adding 4 Sex*Negative Mood and Sex*Stressors Interactions to the Model for the Means |
Using Person-Mean-Centering for Negative Mood, Grand-Mean-Centering for Stressors |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 2 |
Columns in X | 12 |
Columns in Z Per Subject | 1 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1560.79757010 | |
1 | 2 | 1383.86614716 | 0.00001284 |
2 | 1 | 1383.86324021 | 0.00000000 |
Convergence criteria met. |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
UN(1,1) | PersonID | 0.6629 | 0.1099 | 6.03 | <.0001 |
Residual | 0.6081 | 0.04284 | 14.19 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1383.9 |
AIC (smaller is better) | 1411.9 |
AICC (smaller is better) | 1412.7 |
BIC (smaller is better) | 1449.0 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
1 | 176.93 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1383.9 | 14 | 1411.9 | 1412.7 | 1426.9 | 1449.0 | 1463.0 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 2.9158 | 0.7655 | 112 | 3.81 | 0.0002 | 0.05 | 1.3990 | 4.4326 |
women | -0.6744 | 0.8371 | 111 | -0.81 | 0.4222 | 0.05 | -2.3331 | 0.9844 |
age80 | 0.06415 | 0.03359 | 106 | 1.91 | 0.0589 | 0.05 | -0.00245 | 0.1307 |
women*age80 | -0.08435 | 0.03748 | 106 | -2.25 | 0.0265 | 0.05 | -0.1587 | -0.01003 |
PMmood2 | 1.8143 | 0.9206 | 109 | 1.97 | 0.0513 | 0.05 | -0.01023 | 3.6388 |
WPmood | -0.1555 | 0.2729 | 407 | -0.57 | 0.5691 | 0.05 | -0.6921 | 0.3810 |
PMstressor40 | 1.9850 | 0.6666 | 123 | 2.98 | 0.0035 | 0.05 | 0.6655 | 3.3044 |
stressor | 0.2435 | 0.1721 | 404 | 1.41 | 0.1579 | 0.05 | -0.09488 | 0.5819 |
women*PMmood2 | -0.4318 | 1.0017 | 108 | -0.43 | 0.6672 | 0.05 | -2.4173 | 1.5536 |
women*WPmood | 0.3855 | 0.3107 | 406 | 1.24 | 0.2153 | 0.05 | -0.2252 | 0.9962 |
women*PMstressor40 | -1.2770 | 0.7441 | 125 | -1.72 | 0.0886 | 0.05 | -2.7496 | 0.1957 |
women*stressor | -0.2336 | 0.2080 | 404 | -1.12 | 0.2621 | 0.05 | -0.6426 | 0.1753 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 111 | 0.65 | 0.65 | 0.4205 | 0.4222 |
age80 | 1 | 106 | 3.65 | 3.65 | 0.0562 | 0.0589 |
women*age80 | 1 | 106 | 5.06 | 5.06 | 0.0244 | 0.0265 |
PMmood2 | 1 | 109 | 3.88 | 3.88 | 0.0487 | 0.0513 |
WPmood | 1 | 407 | 0.32 | 0.32 | 0.5688 | 0.5691 |
PMstressor40 | 1 | 123 | 8.87 | 8.87 | 0.0029 | 0.0035 |
stressor | 1 | 404 | 2.00 | 2.00 | 0.1572 | 0.1579 |
women*PMmood2 | 1 | 108 | 0.19 | 0.19 | 0.6664 | 0.6672 |
women*WPmood | 1 | 406 | 1.54 | 1.54 | 0.2146 | 0.2153 |
women*PMstressor40 | 1 | 125 | 2.95 | 2.95 | 0.0861 | 0.0886 |
women*stressor | 1 | 404 | 1.26 | 1.26 | 0.2614 | 0.2621 |
Estimates | ||||||||
---|---|---|---|---|---|---|---|---|
Label | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept: Men | 2.9158 | 0.7655 | 112 | 3.81 | 0.0002 | 0.05 | 1.3990 | 4.4326 |
Intercept: Women | 2.2415 | 0.3388 | 110 | 6.62 | <.0001 | 0.05 | 1.5700 | 2.9129 |
Intercept: Sex Diff | -0.6744 | 0.8371 | 111 | -0.81 | 0.4222 | 0.05 | -2.3331 | 0.9844 |
Age Slope: Men | 0.06415 | 0.03359 | 106 | 1.91 | 0.0589 | 0.05 | -0.00245 | 0.1307 |
Age Slope: Women | -0.02020 | 0.01663 | 104 | -1.21 | 0.2273 | 0.05 | -0.05318 | 0.01278 |
Age Slope: Sex Diff | -0.08435 | 0.03748 | 106 | -2.25 | 0.0265 | 0.05 | -0.1587 | -0.01003 |
BP Negative Mood: Men | 1.8143 | 0.9206 | 109 | 1.97 | 0.0513 | 0.05 | -0.01023 | 3.6388 |
BP Negative Mood: Women | 1.3825 | 0.3949 | 105 | 3.50 | 0.0007 | 0.05 | 0.5995 | 2.1654 |
BP Negative Mood: Sex Diff | -0.4318 | 1.0017 | 108 | -0.43 | 0.6672 | 0.05 | -2.4173 | 1.5536 |
Contextual Negative Mood: Men | 1.9698 | 0.9533 | 125 | 2.07 | 0.0409 | 0.05 | 0.08323 | 3.8564 |
Contextual Negative Mood: Women | 1.1525 | 0.4235 | 138 | 2.72 | 0.0073 | 0.05 | 0.3152 | 1.9898 |
Contextual Negative Mood: Sex Diff | -0.8174 | 1.0431 | 127 | -0.78 | 0.4347 | 0.05 | -2.8814 | 1.2467 |
WP Negative Mood: Men | -0.1555 | 0.2729 | 407 | -0.57 | 0.5691 | 0.05 | -0.6921 | 0.3810 |
WP Negative Mood: Women | 0.2300 | 0.1484 | 403 | 1.55 | 0.1220 | 0.05 | -0.06175 | 0.5217 |
WP Negative Mood: Sex Diff | 0.3855 | 0.3107 | 406 | 1.24 | 0.2153 | 0.05 | -0.2252 | 0.9962 |
BP Stressors: Men | 2.2285 | 0.6435 | 107 | 3.46 | 0.0008 | 0.05 | 0.9528 | 3.5041 |
BP Stressors: Women | 0.7179 | 0.3097 | 104 | 2.32 | 0.0224 | 0.05 | 0.1037 | 1.3321 |
BP Stressors: Sex Diff | -1.5106 | 0.7141 | 106 | -2.12 | 0.0367 | 0.05 | -2.9264 | -0.09477 |
Contextual Stressors: Men | 1.9850 | 0.6666 | 123 | 2.98 | 0.0035 | 0.05 | 0.6655 | 3.3044 |
Contextual Stressors: Women | 0.7080 | 0.3307 | 134 | 2.14 | 0.0341 | 0.05 | 0.05391 | 1.3621 |
Contextual Stressors: Sex Diff | -1.2770 | 0.7441 | 125 | -1.72 | 0.0886 | 0.05 | -2.7496 | 0.1957 |
WP Stressors: Men | 0.2435 | 0.1721 | 404 | 1.41 | 0.1579 | 0.05 | -0.09488 | 0.5819 |
WP Stressors: Women | 0.009913 | 0.1168 | 403 | 0.08 | 0.9324 | 0.05 | -0.2197 | 0.2395 |
WP Stressors: Sex Diff | -0.2336 | 0.2080 | 404 | -1.12 | 0.2621 | 0.05 | -0.6426 | 0.1753 |
Contextual Stressors per Day | 0.3970 | 0.1333 | 123 | 2.98 | 0.0035 | 0.05 | 0.1331 | 0.6609 |
Contrasts | ||||||
---|---|---|---|---|---|---|
Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
Multivariate Test of 4 Sex Interactions | 4 | 188 | 9.16 | 2.29 | 0.0572 | 0.0613 |
Likelihood Ratio Test for FitBPWPStressor vs. FitSex4 |
Name | Neg2LogLike | Parms | AIC | BIC | DevDiff | DFdiff | Pvalue |
---|---|---|---|---|---|---|---|
FitBPWPStressor | 1392.8 | 10 | 1412.8 | 1439.3 | . | . | . |
FitSex4 | 1383.9 | 14 | 1411.9 | 1449.0 | 8.94437 | 4 | 0.062505 |
Total R2 (% Reduction) for PredBPWPStressor vs. PredSex4 |
Name | PredCorr | TotalR2 | TotalR2Diff |
---|---|---|---|
PredBPWPStressor | 0.50294 | 0.25295 | . |
PredSex4 | 0.53024 | 0.28116 | 0.028204 |
Eq 8.11reduced: Adding Only 2 Sex*Stressors Interactions to the Model for the Means |
Using Person-Mean-Centering for Negative Mood, Grand-Mean-Centering for Stressors |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 2 |
Columns in X | 10 |
Columns in Z Per Subject | 1 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1561.79245955 | |
1 | 2 | 1385.61059487 | 0.00001607 |
2 | 1 | 1385.60693767 | 0.00000000 |
Convergence criteria met. |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
UN(1,1) | PersonID | 0.6646 | 0.1103 | 6.02 | <.0001 |
Residual | 0.6103 | 0.04300 | 14.19 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1385.6 |
AIC (smaller is better) | 1409.6 |
AICC (smaller is better) | 1410.2 |
BIC (smaller is better) | 1441.5 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
1 | 176.19 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1385.6 | 12 | 1409.6 | 1410.2 | 1422.5 | 1441.5 | 1453.5 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 2.6416 | 0.3479 | 116 | 7.59 | <.0001 | 0.05 | 1.9526 | 3.3307 |
women | -0.3471 | 0.2189 | 144 | -1.59 | 0.1150 | 0.05 | -0.7798 | 0.08561 |
age80 | 0.07083 | 0.03079 | 108 | 2.30 | 0.0233 | 0.05 | 0.009801 | 0.1319 |
women*age80 | -0.09155 | 0.03453 | 107 | -2.65 | 0.0092 | 0.05 | -0.1600 | -0.02309 |
PMmood2 | 1.4560 | 0.3634 | 105 | 4.01 | 0.0001 | 0.05 | 0.7356 | 2.1764 |
WPmood | 0.1411 | 0.1306 | 404 | 1.08 | 0.2806 | 0.05 | -0.1156 | 0.3978 |
PMstressor40 | 2.1285 | 0.6100 | 123 | 3.49 | 0.0007 | 0.05 | 0.9211 | 3.3360 |
stressor | 0.2155 | 0.1710 | 404 | 1.26 | 0.2084 | 0.05 | -0.1207 | 0.5516 |
women*PMstressor40 | -1.4562 | 0.6757 | 126 | -2.16 | 0.0331 | 0.05 | -2.7934 | -0.1190 |
women*stressor | -0.1894 | 0.2054 | 404 | -0.92 | 0.3569 | 0.05 | -0.5931 | 0.2143 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 144 | 2.51 | 2.51 | 0.1128 | 0.1150 |
age80 | 1 | 108 | 5.29 | 5.29 | 0.0214 | 0.0233 |
women*age80 | 1 | 107 | 7.03 | 7.03 | 0.0080 | 0.0092 |
PMmood2 | 1 | 105 | 16.06 | 16.06 | <.0001 | 0.0001 |
WPmood | 1 | 404 | 1.17 | 1.17 | 0.2800 | 0.2806 |
PMstressor40 | 1 | 123 | 12.17 | 12.17 | 0.0005 | 0.0007 |
stressor | 1 | 404 | 1.59 | 1.59 | 0.2077 | 0.2084 |
women*PMstressor40 | 1 | 126 | 4.64 | 4.64 | 0.0312 | 0.0331 |
women*stressor | 1 | 404 | 0.85 | 0.85 | 0.3564 | 0.3569 |
Contrasts | ||||||
---|---|---|---|---|---|---|
Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
Multivariate Test of 2 Sex Interactions | 2 | 206 | 7.39 | 3.70 | 0.0248 | 0.0265 |
Likelihood Ratio Test for FitBPWPStressor vs. FitSex2 |
Name | Neg2LogLike | Parms | AIC | BIC | DevDiff | DFdiff | Pvalue |
---|---|---|---|---|---|---|---|
FitBPWPStressor | 1392.8 | 10 | 1412.8 | 1439.3 | . | . | . |
FitSex2 | 1385.6 | 12 | 1409.6 | 1441.5 | 7.20067 | 2 | 0.027315 |
Total R2 (% Reduction) for PredBPWPStressor vs. PredSex2 |
Name | PredCorr | TotalR2 | TotalR2Diff |
---|---|---|---|
PredBPWPStressor | 0.50294 | 0.25295 | . |
PredSex2 | 0.52917 | 0.28002 | 0.027068 |
Eq 8.12: Adding 4 Negative Mood*Stressors Interactions to the Model for the Means |
Using Person-Mean-Centering for Negative Mood, Grand-Mean-Centering for Stressors |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 2 |
Columns in X | 14 |
Columns in Z Per Subject | 1 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1557.41431080 | |
1 | 2 | 1382.60038946 | 0.00001092 |
2 | 1 | 1382.59792597 | 0.00000000 |
Convergence criteria met. |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
UN(1,1) | PersonID | 0.6546 | 0.1088 | 6.01 | <.0001 |
Residual | 0.6079 | 0.04283 | 14.19 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1382.6 |
AIC (smaller is better) | 1414.6 |
AICC (smaller is better) | 1415.7 |
BIC (smaller is better) | 1457.1 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
1 | 174.82 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1382.6 | 16 | 1414.6 | 1415.7 | 1431.8 | 1457.1 | 1473.1 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 2.9839 | 0.4722 | 142 | 6.32 | <.0001 | 0.05 | 2.0505 | 3.9173 |
women | -0.3511 | 0.2177 | 145 | -1.61 | 0.1091 | 0.05 | -0.7815 | 0.07928 |
age80 | 0.06816 | 0.03068 | 108 | 2.22 | 0.0284 | 0.05 | 0.007342 | 0.1290 |
women*age80 | -0.09165 | 0.03434 | 108 | -2.67 | 0.0088 | 0.05 | -0.1597 | -0.02358 |
PMmood2 | 1.8282 | 0.5104 | 142 | 3.58 | 0.0005 | 0.05 | 0.8193 | 2.8371 |
WPmood | -0.00281 | 0.2713 | 429 | -0.01 | 0.9917 | 0.05 | -0.5361 | 0.5305 |
PMstressor40 | 0.8713 | 1.2129 | 132 | 0.72 | 0.4738 | 0.05 | -1.5278 | 3.2705 |
stressor | 0.2225 | 0.3984 | 411 | 0.56 | 0.5769 | 0.05 | -0.5607 | 1.0057 |
women*PMstressor40 | -1.4321 | 0.6733 | 127 | -2.13 | 0.0354 | 0.05 | -2.7644 | -0.09970 |
women*stressor | -0.1711 | 0.2066 | 404 | -0.83 | 0.4081 | 0.05 | -0.5773 | 0.2351 |
PMmood2*stressor | 0.01152 | 0.4389 | 412 | 0.03 | 0.9791 | 0.05 | -0.8512 | 0.8743 |
PMmood2*PMstressor40 | -1.4700 | 1.2373 | 139 | -1.19 | 0.2368 | 0.05 | -3.9163 | 0.9764 |
WPmood*stressor | 0.05900 | 0.4027 | 445 | 0.15 | 0.8836 | 0.05 | -0.7325 | 0.8505 |
WPmood*PMstressor40 | 0.4427 | 0.5342 | 421 | 0.83 | 0.4077 | 0.05 | -0.6074 | 1.4928 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 145 | 2.60 | 2.60 | 0.1069 | 0.1091 |
age80 | 1 | 108 | 4.93 | 4.93 | 0.0263 | 0.0284 |
women*age80 | 1 | 108 | 7.12 | 7.12 | 0.0076 | 0.0088 |
PMmood2 | 1 | 142 | 12.83 | 12.83 | 0.0003 | 0.0005 |
WPmood | 1 | 429 | 0.00 | 0.00 | 0.9917 | 0.9917 |
PMstressor40 | 1 | 132 | 0.52 | 0.52 | 0.4725 | 0.4738 |
stressor | 1 | 411 | 0.31 | 0.31 | 0.5766 | 0.5769 |
women*PMstressor40 | 1 | 127 | 4.52 | 4.52 | 0.0334 | 0.0354 |
women*stressor | 1 | 404 | 0.69 | 0.69 | 0.4076 | 0.4081 |
PMmood2*stressor | 1 | 412 | 0.00 | 0.00 | 0.9791 | 0.9791 |
PMmood2*PMstressor40 | 1 | 139 | 1.41 | 1.41 | 0.2348 | 0.2368 |
WPmood*stressor | 1 | 445 | 0.02 | 0.02 | 0.8835 | 0.8836 |
WPmood*PMstressor40 | 1 | 421 | 0.69 | 0.69 | 0.4073 | 0.4077 |
Estimates | ||||||||
---|---|---|---|---|---|---|---|---|
Label | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept: Men | 2.9839 | 0.4722 | 142 | 6.32 | <.0001 | 0.05 | 2.0505 | 3.9173 |
Intercept: Women | 2.6328 | 0.4509 | 141 | 5.84 | <.0001 | 0.05 | 1.7413 | 3.5242 |
Intercept: Sex Diff | -0.3511 | 0.2177 | 145 | -1.61 | 0.1091 | 0.05 | -0.7815 | 0.07928 |
Age Slope: Men | 0.06816 | 0.03068 | 108 | 2.22 | 0.0284 | 0.05 | 0.007342 | 0.1290 |
Age Slope: Women | -0.02349 | 0.01665 | 104 | -1.41 | 0.1612 | 0.05 | -0.05650 | 0.009520 |
Age Slope: Sex Diff | -0.09165 | 0.03434 | 108 | -2.67 | 0.0088 | 0.05 | -0.1597 | -0.02358 |
BP Negative Mood | 1.8282 | 0.5104 | 142 | 3.58 | 0.0005 | 0.05 | 0.8193 | 2.8371 |
Contextual Negative Mood | 1.8310 | 0.5451 | 180 | 3.36 | 0.0010 | 0.05 | 0.7554 | 2.9067 |
WP Negative Mood | -0.00281 | 0.2713 | 429 | -0.01 | 0.9917 | 0.05 | -0.5361 | 0.5305 |
BP Stressors: Men | 1.0938 | 1.1415 | 105 | 0.96 | 0.3402 | 0.05 | -1.1697 | 3.3574 |
BP Stressors: Women | -0.5094 | 0.9994 | 104 | -0.51 | 0.6114 | 0.05 | -2.4912 | 1.4725 |
BP Stressors: Sex Diff | -1.6032 | 0.6402 | 105 | -2.50 | 0.0138 | 0.05 | -2.8727 | -0.3336 |
Contextual Stressors: Men | 0.8713 | 1.2129 | 132 | 0.72 | 0.4738 | 0.05 | -1.5278 | 3.2705 |
Contextual Stressors: Women | -0.5607 | 1.0738 | 137 | -0.52 | 0.6024 | 0.05 | -2.6841 | 1.5627 |
Contextual Stressors: Sex Diff | -1.4321 | 0.6733 | 127 | -2.13 | 0.0354 | 0.05 | -2.7644 | -0.09970 |
WP Stressors: Men | 0.2225 | 0.3984 | 411 | 0.56 | 0.5769 | 0.05 | -0.5607 | 1.0057 |
WP Stressors: Women | 0.05139 | 0.3763 | 412 | 0.14 | 0.8914 | 0.05 | -0.6882 | 0.7910 |
WP Stressors: Sex Diff | -0.1711 | 0.2066 | 404 | -0.83 | 0.4081 | 0.05 | -0.5773 | 0.2351 |
Contextual Stressors per Day | 0.1743 | 0.2426 | 132 | 0.72 | 0.4738 | 0.05 | -0.3056 | 0.6541 |
BP Negative Mood by BP Stressors | -1.4584 | 1.1479 | 104 | -1.27 | 0.2067 | 0.05 | -3.7346 | 0.8177 |
BP Negative Mood by Contextual Stressors | -1.4700 | 1.2373 | 139 | -1.19 | 0.2368 | 0.05 | -3.9163 | 0.9764 |
BP Negative Mood by WP Stressors | 0.01152 | 0.4389 | 412 | 0.03 | 0.9791 | 0.05 | -0.8512 | 0.8743 |
Contextual Negative Mood by BP Stressors | -1.9602 | 1.2227 | 134 | -1.60 | 0.1113 | 0.05 | -4.3786 | 0.4583 |
Contextual Negative Mood by Contextual Stressors | -1.9127 | 1.3406 | 186 | -1.43 | 0.1553 | 0.05 | -4.5575 | 0.7321 |
Contextual Negative Mood by WP Stressors | -0.04748 | 0.5410 | 425 | -0.09 | 0.9301 | 0.05 | -1.1109 | 1.0159 |
WP Negative Mood by BP Stressors | 0.5017 | 0.4245 | 404 | 1.18 | 0.2380 | 0.05 | -0.3328 | 1.3362 |
WP Negative Mood by Contextual Stressors | 0.4427 | 0.5342 | 421 | 0.83 | 0.4077 | 0.05 | -0.6074 | 1.4928 |
WP Negative Mood by WP Stressors | 0.05900 | 0.4027 | 445 | 0.15 | 0.8836 | 0.05 | -0.7325 | 0.8505 |
Contrasts | ||||||
---|---|---|---|---|---|---|
Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
Multivariate Test of 4 Negative Mood*Stressors Interactions | 4 | 300 | 3.02 | 0.76 | 0.5542 | 0.5551 |
Likelihood Ratio Test for FitSex2 vs. FitMoodStressor4 |
Name | Neg2LogLike | Parms | AIC | BIC | DevDiff | DFdiff | Pvalue |
---|---|---|---|---|---|---|---|
FitSex2 | 1385.6 | 12 | 1409.6 | 1441.5 | . | . | . |
FitMoodStressor4 | 1382.6 | 16 | 1414.6 | 1457.1 | 3.00901 | 4 | 0.55632 |
Total R2 (% Reduction) for PredSex2 vs. PredMoodStressor4 |
Name | PredCorr | TotalR2 | TotalR2Diff |
---|---|---|---|
PredSex2 | 0.52917 | 0.28002 | . |
PredMoodStressor4 | 0.53440 | 0.28558 | .005558062 |
Ch 8: Checking Inter-Variable Interactions via PMC Negative Mood by PMC Stressors |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 2 |
Columns in X | 14 |
Columns in Z Per Subject | 1 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1557.41431080 | |
1 | 2 | 1382.60038946 | 0.00001092 |
2 | 1 | 1382.59792597 | 0.00000000 |
Convergence criteria met. |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
UN(1,1) | PersonID | 0.6546 | 0.1088 | 6.01 | <.0001 |
Residual | 0.6079 | 0.04283 | 14.19 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1382.6 |
AIC (smaller is better) | 1414.6 |
AICC (smaller is better) | 1415.7 |
BIC (smaller is better) | 1457.1 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
1 | 174.82 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1382.6 | 16 | 1414.6 | 1415.7 | 1431.8 | 1457.1 | 1473.1 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 3.0729 | 0.4388 | 107 | 7.00 | <.0001 | 0.05 | 2.2030 | 3.9428 |
women | -0.4195 | 0.2010 | 106 | -2.09 | 0.0393 | 0.05 | -0.8181 | -0.02094 |
age80 | 0.06816 | 0.03068 | 108 | 2.22 | 0.0284 | 0.05 | 0.007342 | 0.1290 |
women*age80 | -0.09165 | 0.03434 | 108 | -2.67 | 0.0088 | 0.05 | -0.1597 | -0.02358 |
PMmood2 | 1.8328 | 0.4723 | 106 | 3.88 | 0.0002 | 0.05 | 0.8964 | 2.7693 |
WPmood | 0.02079 | 0.1729 | 407 | 0.12 | 0.9044 | 0.05 | -0.3191 | 0.3607 |
PMstressor40 | 1.0938 | 1.1415 | 105 | 0.96 | 0.3402 | 0.05 | -1.1697 | 3.3574 |
WPstressor | 0.2225 | 0.3984 | 411 | 0.56 | 0.5769 | 0.05 | -0.5607 | 1.0057 |
women*PMstressor40 | -1.6032 | 0.6402 | 105 | -2.50 | 0.0138 | 0.05 | -2.8727 | -0.3336 |
women*WPstressor | -0.1711 | 0.2066 | 404 | -0.83 | 0.4081 | 0.05 | -0.5773 | 0.2351 |
PMmood2*WPstressor | 0.01152 | 0.4389 | 412 | 0.03 | 0.9791 | 0.05 | -0.8512 | 0.8743 |
PMmood2*PMstressor40 | -1.4584 | 1.1479 | 104 | -1.27 | 0.2067 | 0.05 | -3.7346 | 0.8177 |
WPmood*WPstressor | 0.05900 | 0.4027 | 445 | 0.15 | 0.8836 | 0.05 | -0.7325 | 0.8505 |
WPmood*PMstressor40 | 0.5017 | 0.4245 | 404 | 1.18 | 0.2380 | 0.05 | -0.3328 | 1.3362 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 106 | 4.35 | 4.35 | 0.0369 | 0.0393 |
age80 | 1 | 108 | 4.93 | 4.93 | 0.0263 | 0.0284 |
women*age80 | 1 | 108 | 7.12 | 7.12 | 0.0076 | 0.0088 |
PMmood2 | 1 | 106 | 15.06 | 15.06 | 0.0001 | 0.0002 |
WPmood | 1 | 407 | 0.01 | 0.01 | 0.9043 | 0.9044 |
PMstressor40 | 1 | 105 | 0.92 | 0.92 | 0.3380 | 0.3402 |
WPstressor | 1 | 411 | 0.31 | 0.31 | 0.5766 | 0.5769 |
women*PMstressor40 | 1 | 105 | 6.27 | 6.27 | 0.0123 | 0.0138 |
women*WPstressor | 1 | 404 | 0.69 | 0.69 | 0.4076 | 0.4081 |
PMmood2*WPstressor | 1 | 412 | 0.00 | 0.00 | 0.9791 | 0.9791 |
PMmood2*PMstressor40 | 1 | 104 | 1.61 | 1.61 | 0.2039 | 0.2067 |
WPmood*WPstressor | 1 | 445 | 0.02 | 0.02 | 0.8835 | 0.8836 |
WPmood*PMstressor40 | 1 | 404 | 1.40 | 1.40 | 0.2373 | 0.2380 |
Estimates | ||||||||
---|---|---|---|---|---|---|---|---|
Label | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
BP Negative Mood by BP Stressors | -1.4584 | 1.1479 | 104 | -1.27 | 0.2067 | 0.05 | -3.7346 | 0.8177 |
BP Negative Mood by Contextual Stressors | -1.4700 | 1.2373 | 139 | -1.19 | 0.2368 | 0.05 | -3.9163 | 0.9764 |
BP Negative Mood by WP Stressors | 0.01152 | 0.4389 | 412 | 0.03 | 0.9791 | 0.05 | -0.8512 | 0.8743 |
Contextual Negative Mood by BP Stressors | -1.9602 | 1.2227 | 134 | -1.60 | 0.1113 | 0.05 | -4.3786 | 0.4583 |
Contextual Negative Mood by Contextual Stressors | -1.9127 | 1.3406 | 186 | -1.43 | 0.1553 | 0.05 | -4.5575 | 0.7321 |
Contextual Negative Mood by WP Stressors | -0.04748 | 0.5410 | 425 | -0.09 | 0.9301 | 0.05 | -1.1109 | 1.0159 |
WP Negative Mood by BP Stressors | 0.5017 | 0.4245 | 404 | 1.18 | 0.2380 | 0.05 | -0.3328 | 1.3362 |
WP Negative Mood by Contextual Stressors | 0.4427 | 0.5342 | 421 | 0.83 | 0.4077 | 0.05 | -0.6074 | 1.4928 |
WP Negative Mood by WP Stressors | 0.05900 | 0.4027 | 445 | 0.15 | 0.8836 | 0.05 | -0.7325 | 0.8505 |
Ch 8: Checking Inter-Variable Interactions via GMC Negative Mood by GMC Stressors |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 2 |
Columns in X | 14 |
Columns in Z Per Subject | 1 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1557.41431080 | |
1 | 2 | 1382.60038946 | 0.00001092 |
2 | 1 | 1382.59792597 | 0.00000000 |
Convergence criteria met. |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
UN(1,1) | PersonID | 0.6546 | 0.1088 | 6.01 | <.0001 |
Residual | 0.6079 | 0.04283 | 14.19 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1382.6 |
AIC (smaller is better) | 1414.6 |
AICC (smaller is better) | 1415.7 |
BIC (smaller is better) | 1457.1 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
1 | 174.82 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1382.6 | 16 | 1414.6 | 1415.7 | 1431.8 | 1457.1 | 1473.1 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 2.9839 | 0.4722 | 142 | 6.32 | <.0001 | 0.05 | 2.0505 | 3.9173 |
women | -0.3511 | 0.2177 | 145 | -1.61 | 0.1091 | 0.05 | -0.7815 | 0.07928 |
age80 | 0.06816 | 0.03068 | 108 | 2.22 | 0.0284 | 0.05 | 0.007342 | 0.1290 |
women*age80 | -0.09165 | 0.03434 | 108 | -2.67 | 0.0088 | 0.05 | -0.1597 | -0.02358 |
PMmood2 | 1.8310 | 0.5451 | 180 | 3.36 | 0.0010 | 0.05 | 0.7554 | 2.9067 |
mood2 | -0.00281 | 0.2713 | 429 | -0.01 | 0.9917 | 0.05 | -0.5361 | 0.5305 |
PMstressor40 | 0.8713 | 1.2129 | 132 | 0.72 | 0.4738 | 0.05 | -1.5278 | 3.2705 |
stressor | 0.2225 | 0.3984 | 411 | 0.56 | 0.5769 | 0.05 | -0.5607 | 1.0057 |
women*PMstressor40 | -1.4321 | 0.6733 | 127 | -2.13 | 0.0354 | 0.05 | -2.7644 | -0.09970 |
women*stressor | -0.1711 | 0.2066 | 404 | -0.83 | 0.4081 | 0.05 | -0.5773 | 0.2351 |
PMmood2*stressor | -0.04748 | 0.5410 | 425 | -0.09 | 0.9301 | 0.05 | -1.1109 | 1.0159 |
PMmood2*PMstressor40 | -1.9127 | 1.3406 | 186 | -1.43 | 0.1553 | 0.05 | -4.5575 | 0.7321 |
mood2*stressor | 0.05900 | 0.4027 | 445 | 0.15 | 0.8836 | 0.05 | -0.7325 | 0.8505 |
mood2*PMstressor40 | 0.4427 | 0.5342 | 421 | 0.83 | 0.4077 | 0.05 | -0.6074 | 1.4928 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 145 | 2.60 | 2.60 | 0.1069 | 0.1091 |
age80 | 1 | 108 | 4.93 | 4.93 | 0.0263 | 0.0284 |
women*age80 | 1 | 108 | 7.12 | 7.12 | 0.0076 | 0.0088 |
PMmood2 | 1 | 180 | 11.28 | 11.28 | 0.0008 | 0.0010 |
mood2 | 1 | 429 | 0.00 | 0.00 | 0.9917 | 0.9917 |
PMstressor40 | 1 | 132 | 0.52 | 0.52 | 0.4725 | 0.4738 |
stressor | 1 | 411 | 0.31 | 0.31 | 0.5766 | 0.5769 |
women*PMstressor40 | 1 | 127 | 4.52 | 4.52 | 0.0334 | 0.0354 |
women*stressor | 1 | 404 | 0.69 | 0.69 | 0.4076 | 0.4081 |
PMmood2*stressor | 1 | 425 | 0.01 | 0.01 | 0.9301 | 0.9301 |
PMmood2*PMstressor40 | 1 | 186 | 2.04 | 2.04 | 0.1537 | 0.1553 |
mood2*stressor | 1 | 445 | 0.02 | 0.02 | 0.8835 | 0.8836 |
mood2*PMstressor40 | 1 | 421 | 0.69 | 0.69 | 0.4073 | 0.4077 |
Estimates | ||||||||
---|---|---|---|---|---|---|---|---|
Label | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
BP Negative Mood by BP Stressors | -1.4584 | 1.1479 | 104 | -1.27 | 0.2067 | 0.05 | -3.7346 | 0.8177 |
BP Negative Mood by Contextual Stressors | -1.4700 | 1.2373 | 139 | -1.19 | 0.2368 | 0.05 | -3.9163 | 0.9764 |
BP Negative Mood by WP Stressors | 0.01152 | 0.4389 | 412 | 0.03 | 0.9791 | 0.05 | -0.8512 | 0.8743 |
Contextual Negative Mood by BP Stressors | -1.9602 | 1.2227 | 134 | -1.60 | 0.1113 | 0.05 | -4.3786 | 0.4583 |
Contextual Negative Mood by Contextual Stressors | -1.9127 | 1.3406 | 186 | -1.43 | 0.1553 | 0.05 | -4.5575 | 0.7321 |
Contextual Negative Mood by WP Stressors | -0.04748 | 0.5410 | 425 | -0.09 | 0.9301 | 0.05 | -1.1109 | 1.0159 |
WP Negative Mood by BP Stressors | 0.5017 | 0.4245 | 404 | 1.18 | 0.2380 | 0.05 | -0.3328 | 1.3362 |
WP Negative Mood by Contextual Stressors | 0.4427 | 0.5342 | 421 | 0.83 | 0.4077 | 0.05 | -0.6074 | 1.4928 |
WP Negative Mood by WP Stressors | 0.05900 | 0.4027 | 445 | 0.15 | 0.8836 | 0.05 | -0.7325 | 0.8505 |
Ch 8: Checking Inter-Variable Interactions via GMC Negative Mood by PMC Stressors |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 2 |
Columns in X | 14 |
Columns in Z Per Subject | 1 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1557.41431080 | |
1 | 2 | 1382.60038946 | 0.00001092 |
2 | 1 | 1382.59792597 | 0.00000000 |
Convergence criteria met. |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
UN(1,1) | PersonID | 0.6546 | 0.1088 | 6.01 | <.0001 |
Residual | 0.6079 | 0.04283 | 14.19 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1382.6 |
AIC (smaller is better) | 1414.6 |
AICC (smaller is better) | 1415.7 |
BIC (smaller is better) | 1457.1 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
1 | 174.82 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1382.6 | 16 | 1414.6 | 1415.7 | 1431.8 | 1457.1 | 1473.1 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 3.0729 | 0.4388 | 107 | 7.00 | <.0001 | 0.05 | 2.2030 | 3.9428 |
women | -0.4195 | 0.2010 | 106 | -2.09 | 0.0393 | 0.05 | -0.8181 | -0.02094 |
age80 | 0.06816 | 0.03068 | 108 | 2.22 | 0.0284 | 0.05 | 0.007342 | 0.1290 |
women*age80 | -0.09165 | 0.03434 | 108 | -2.67 | 0.0088 | 0.05 | -0.1597 | -0.02358 |
PMmood2 | 1.8120 | 0.4979 | 130 | 3.64 | 0.0004 | 0.05 | 0.8271 | 2.7970 |
mood2 | 0.02079 | 0.1729 | 407 | 0.12 | 0.9044 | 0.05 | -0.3191 | 0.3607 |
PMstressor40 | 1.0938 | 1.1415 | 105 | 0.96 | 0.3402 | 0.05 | -1.1697 | 3.3574 |
WPstressor | 0.2225 | 0.3984 | 411 | 0.56 | 0.5769 | 0.05 | -0.5607 | 1.0057 |
women*PMstressor40 | -1.6032 | 0.6402 | 105 | -2.50 | 0.0138 | 0.05 | -2.8727 | -0.3336 |
women*WPstressor | -0.1711 | 0.2066 | 404 | -0.83 | 0.4081 | 0.05 | -0.5773 | 0.2351 |
PMmood2*WPstressor | -0.04748 | 0.5410 | 425 | -0.09 | 0.9301 | 0.05 | -1.1109 | 1.0159 |
PMmood2*PMstressor40 | -1.9602 | 1.2227 | 134 | -1.60 | 0.1113 | 0.05 | -4.3786 | 0.4583 |
mood2*WPstressor | 0.05900 | 0.4027 | 445 | 0.15 | 0.8836 | 0.05 | -0.7325 | 0.8505 |
mood2*PMstressor40 | 0.5017 | 0.4245 | 404 | 1.18 | 0.2380 | 0.05 | -0.3328 | 1.3362 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 106 | 4.35 | 4.35 | 0.0369 | 0.0393 |
age80 | 1 | 108 | 4.93 | 4.93 | 0.0263 | 0.0284 |
women*age80 | 1 | 108 | 7.12 | 7.12 | 0.0076 | 0.0088 |
PMmood2 | 1 | 130 | 13.25 | 13.25 | 0.0003 | 0.0004 |
mood2 | 1 | 407 | 0.01 | 0.01 | 0.9043 | 0.9044 |
PMstressor40 | 1 | 105 | 0.92 | 0.92 | 0.3380 | 0.3402 |
WPstressor | 1 | 411 | 0.31 | 0.31 | 0.5766 | 0.5769 |
women*PMstressor40 | 1 | 105 | 6.27 | 6.27 | 0.0123 | 0.0138 |
women*WPstressor | 1 | 404 | 0.69 | 0.69 | 0.4076 | 0.4081 |
PMmood2*WPstressor | 1 | 425 | 0.01 | 0.01 | 0.9301 | 0.9301 |
PMmood2*PMstressor40 | 1 | 134 | 2.57 | 2.57 | 0.1089 | 0.1113 |
mood2*WPstressor | 1 | 445 | 0.02 | 0.02 | 0.8835 | 0.8836 |
mood2*PMstressor40 | 1 | 404 | 1.40 | 1.40 | 0.2373 | 0.2380 |
Estimates | ||||||||
---|---|---|---|---|---|---|---|---|
Label | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
BP Negative Mood by BP Stressors | -1.4584 | 1.1479 | 104 | -1.27 | 0.2067 | 0.05 | -3.7346 | 0.8177 |
BP Negative Mood by Contextual Stressors | -1.4700 | 1.2373 | 139 | -1.19 | 0.2368 | 0.05 | -3.9163 | 0.9764 |
BP Negative Mood by WP Stressors | 0.01152 | 0.4389 | 412 | 0.03 | 0.9791 | 0.05 | -0.8512 | 0.8743 |
Contextual Negative Mood by BP Stressors | -1.9602 | 1.2227 | 134 | -1.60 | 0.1113 | 0.05 | -4.3786 | 0.4583 |
Contextual Negative Mood by Contextual Stressors | -1.9127 | 1.3406 | 186 | -1.43 | 0.1553 | 0.05 | -4.5575 | 0.7321 |
Contextual Negative Mood by WP Stressors | -0.04748 | 0.5410 | 425 | -0.09 | 0.9301 | 0.05 | -1.1109 | 1.0159 |
WP Negative Mood by BP Stressors | 0.5017 | 0.4245 | 404 | 1.18 | 0.2380 | 0.05 | -0.3328 | 1.3362 |
WP Negative Mood by Contextual Stressors | 0.4427 | 0.5342 | 421 | 0.83 | 0.4077 | 0.05 | -0.6074 | 1.4928 |
WP Negative Mood by WP Stressors | 0.05900 | 0.4027 | 445 | 0.15 | 0.8836 | 0.05 | -0.7325 | 0.8505 |
Eq 8.13: Adding 5 Intra-Variable Interactions to the Model for the Means |
Using Person-Mean-Centering for Negative Mood, Grand-Mean-Centering for Stressors |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 2 |
Columns in X | 15 |
Columns in Z Per Subject | 1 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1544.81269376 | |
1 | 2 | 1378.33696010 | 0.00000745 |
2 | 1 | 1378.33529770 | 0.00000000 |
Convergence criteria met. |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
UN(1,1) | PersonID | 0.6218 | 0.1043 | 5.96 | <.0001 |
Residual | 0.6082 | 0.04285 | 14.19 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1378.3 |
AIC (smaller is better) | 1412.3 |
AICC (smaller is better) | 1413.6 |
BIC (smaller is better) | 1457.5 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
1 | 166.48 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1378.3 | 17 | 1412.3 | 1413.6 | 1430.6 | 1457.5 | 1474.5 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 2.5680 | 0.3733 | 138 | 6.88 | <.0001 | 0.05 | 1.8298 | 3.3062 |
women | -0.3249 | 0.2161 | 145 | -1.50 | 0.1349 | 0.05 | -0.7521 | 0.1023 |
age80 | 0.07095 | 0.03007 | 109 | 2.36 | 0.0201 | 0.05 | 0.01134 | 0.1306 |
women*age80 | -0.08966 | 0.03363 | 108 | -2.67 | 0.0089 | 0.05 | -0.1563 | -0.02300 |
PMmood2 | -0.2980 | 0.8016 | 111 | -0.37 | 0.7108 | 0.05 | -1.8865 | 1.2905 |
WPmood | 0.3733 | 0.2595 | 426 | 1.44 | 0.1511 | 0.05 | -0.1368 | 0.8834 |
PMstressor40 | 1.8898 | 0.6325 | 140 | 2.99 | 0.0033 | 0.05 | 0.6393 | 3.1403 |
stressor | 0.1979 | 0.1752 | 404 | 1.13 | 0.2593 | 0.05 | -0.1465 | 0.5423 |
women*PMstressor40 | -1.3022 | 0.6618 | 128 | -1.97 | 0.0513 | 0.05 | -2.6118 | 0.007335 |
women*stressor | -0.1738 | 0.2053 | 404 | -0.85 | 0.3979 | 0.05 | -0.5774 | 0.2299 |
PMmood2*PMmood2 | -1.8365 | 0.7167 | 110 | -2.56 | 0.0117 | 0.05 | -3.2567 | -0.4163 |
WPmood*WPmood | -0.2657 | 0.3133 | 468 | -0.85 | 0.3969 | 0.05 | -0.8813 | 0.3500 |
PMmood2*WPmood | 0.2767 | 0.3968 | 405 | 0.70 | 0.4860 | 0.05 | -0.5033 | 1.0567 |
PMstressor40*PMstressor40 | -0.3856 | 0.9842 | 176 | -0.39 | 0.6957 | 0.05 | -2.3279 | 1.5567 |
PMstressor40*stressor | 0.1757 | 0.4861 | 404 | 0.36 | 0.7180 | 0.05 | -0.7799 | 1.1313 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 145 | 2.26 | 2.26 | 0.1328 | 0.1349 |
age80 | 1 | 109 | 5.57 | 5.57 | 0.0183 | 0.0201 |
women*age80 | 1 | 108 | 7.11 | 7.11 | 0.0077 | 0.0089 |
PMmood2 | 1 | 111 | 0.14 | 0.14 | 0.7101 | 0.7108 |
WPmood | 1 | 426 | 2.07 | 2.07 | 0.1503 | 0.1511 |
PMstressor40 | 1 | 140 | 8.93 | 8.93 | 0.0028 | 0.0033 |
stressor | 1 | 404 | 1.28 | 1.28 | 0.2586 | 0.2593 |
women*PMstressor40 | 1 | 128 | 3.87 | 3.87 | 0.0491 | 0.0513 |
women*stressor | 1 | 404 | 0.72 | 0.72 | 0.3974 | 0.3979 |
PMmood2*PMmood2 | 1 | 110 | 6.57 | 6.57 | 0.0104 | 0.0117 |
WPmood*WPmood | 1 | 468 | 0.72 | 0.72 | 0.3964 | 0.3969 |
PMmood2*WPmood | 1 | 405 | 0.49 | 0.49 | 0.4856 | 0.4860 |
PMstressor40*PMstressor40 | 1 | 176 | 0.15 | 0.15 | 0.6952 | 0.6957 |
PMstressor40*stressor | 1 | 404 | 0.13 | 0.13 | 0.7178 | 0.7180 |
Estimates | ||||||||
---|---|---|---|---|---|---|---|---|
Label | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
BP Negative Mood: Linear | -0.2980 | 0.8016 | 111 | -0.37 | 0.7108 | 0.05 | -1.8865 | 1.2905 |
BP Negative Mood: Quadratic | -1.8365 | 0.7167 | 110 | -2.56 | 0.0117 | 0.05 | -3.2567 | -0.4163 |
Contextual Negative Mood: Linear | -0.6713 | 0.8487 | 138 | -0.79 | 0.4303 | 0.05 | -2.3494 | 1.0068 |
Contextual Negative Mood: Quadratic | -2.3788 | 0.9306 | 264 | -2.56 | 0.0111 | 0.05 | -4.2112 | -0.5465 |
WP Negative Mood: Linear | 0.3733 | 0.2595 | 426 | 1.44 | 0.1511 | 0.05 | -0.1368 | 0.8834 |
WP Negative Mood: Quadratic | -0.2657 | 0.3133 | 468 | -0.85 | 0.3969 | 0.05 | -0.8813 | 0.3500 |
BP by WP Negative Mood | 0.2767 | 0.3968 | 405 | 0.70 | 0.4860 | 0.05 | -0.5033 | 1.0567 |
Contextual by WP Negative Mood | 0.8081 | 0.7629 | 454 | 1.06 | 0.2901 | 0.05 | -0.6912 | 2.3073 |
BP Stressor: Linear | 2.0877 | 0.6196 | 129 | 3.37 | 0.0010 | 0.05 | 0.8619 | 3.3135 |
BP Stressor: Quadratic | -0.2099 | 0.8569 | 104 | -0.25 | 0.8069 | 0.05 | -1.9092 | 1.4893 |
Contextual Stressors: Linear | 1.8898 | 0.6325 | 140 | 2.99 | 0.0033 | 0.05 | 0.6393 | 3.1403 |
Contextual Stressors: Quadratic | -0.3856 | 0.9842 | 176 | -0.39 | 0.6957 | 0.05 | -2.3279 | 1.5567 |
WP Stressors: Linear | 0.1979 | 0.1752 | 404 | 1.13 | 0.2593 | 0.05 | -0.1465 | 0.5423 |
BP/Contextual by WP Stressors | 0.1757 | 0.4861 | 404 | 0.36 | 0.7180 | 0.05 | -0.7799 | 1.1313 |
BP Negative Mood: Linear at 1 | 3.3749 | 0.8137 | 117 | 4.15 | <.0001 | 0.05 | 1.7633 | 4.9865 |
BP Negative Mood: Linear at 3 | -3.9710 | 2.1753 | 110 | -1.83 | 0.0707 | 0.05 | -8.2821 | 0.3402 |
Contrasts | ||||||
---|---|---|---|---|---|---|
Label | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
Multivariate Test of 5 Intra-Variable Interactions | 5 | 253 | 7.44 | 1.49 | 0.1898 | 0.1940 |
Likelihood Ratio Test for FitSex2 vs. FitIntra5 |
Name | Neg2LogLike | Parms | AIC | BIC | DevDiff | DFdiff | Pvalue |
---|---|---|---|---|---|---|---|
FitSex2 | 1385.6 | 12 | 1409.6 | 1441.5 | . | . | . |
FitIntra5 | 1378.3 | 17 | 1412.3 | 1457.5 | 7.27164 | 5 | 0.20121 |
Total R2 (% Reduction) for PredSex2 vs. PredIntra5 |
Name | PredCorr | TotalR2 | TotalR2Diff |
---|---|---|---|
PredSex2 | 0.52917 | 0.28002 | . |
PredIntra5 | 0.55107 | 0.30368 | 0.023656 |
Eq 8.13reduced: Baseline Homogeneous Variance Model with Significant Fixed Effects Only |
Using Person-Mean-Centering for Negative Mood, Grand-Mean-Centering for Stressors |
Model Information | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Covariance Structure | Unstructured |
Subject Effect | PersonID |
Estimation Method | ML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 2 |
Columns in X | 12 |
Columns in Z Per Subject | 1 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Number of Observations | |
---|---|
Number of Observations Read | 509 |
Number of Observations Used | 509 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Log Like | Criterion |
0 | 1 | 1545.96902754 | |
1 | 2 | 1379.31123855 | 0.00000648 |
2 | 1 | 1379.30978989 | 0.00000000 |
Convergence criteria met. |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr > Z |
UN(1,1) | PersonID | 0.6230 | 0.1045 | 5.96 | <.0001 |
Residual | 0.6094 | 0.04293 | 14.19 | <.0001 |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1379.3 |
AIC (smaller is better) | 1407.3 |
AICC (smaller is better) | 1408.2 |
BIC (smaller is better) | 1444.5 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
1 | 166.66 | <.0001 |
Information Criteria | ||||||
---|---|---|---|---|---|---|
Neg2LogLike | Parms | AIC | AICC | HQIC | BIC | CAIC |
1379.3 | 14 | 1407.3 | 1408.2 | 1422.4 | 1444.5 | 1458.5 |
Solution for Fixed Effects | ||||||||
---|---|---|---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept | 2.4501 | 0.3473 | 117 | 7.05 | <.0001 | 0.05 | 1.7623 | 3.1379 |
women | -0.3300 | 0.2141 | 146 | -1.54 | 0.1254 | 0.05 | -0.7531 | 0.09316 |
age80 | 0.07222 | 0.02999 | 109 | 2.41 | 0.0177 | 0.05 | 0.01278 | 0.1317 |
women*age80 | -0.09030 | 0.03364 | 108 | -2.68 | 0.0084 | 0.05 | -0.1570 | -0.02362 |
PMmood2 | -0.3358 | 0.7998 | 110 | -0.42 | 0.6754 | 0.05 | -1.9208 | 1.2492 |
WPmood | 0.2631 | 0.2213 | 405 | 1.19 | 0.2351 | 0.05 | -0.1719 | 0.6981 |
PMstressor40 | 1.9255 | 0.6005 | 124 | 3.21 | 0.0017 | 0.05 | 0.7370 | 3.1141 |
stressor | 0.2205 | 0.1710 | 404 | 1.29 | 0.1981 | 0.05 | -0.1158 | 0.5567 |
women*PMstressor40 | -1.3214 | 0.6618 | 128 | -2.00 | 0.0480 | 0.05 | -2.6309 | -0.01203 |
women*stressor | -0.1824 | 0.2053 | 404 | -0.89 | 0.3748 | 0.05 | -0.5860 | 0.2212 |
PMmood2*PMmood2 | -1.7753 | 0.7132 | 108 | -2.49 | 0.0143 | 0.05 | -3.1889 | -0.3618 |
PMmood2*WPmood | 0.2589 | 0.3962 | 405 | 0.65 | 0.5139 | 0.05 | -0.5201 | 1.0378 |
Type 3 Tests of Fixed Effects | ||||||
---|---|---|---|---|---|---|
Effect | Num DF | Den DF | Chi-Square | F Value | Pr > ChiSq | Pr > F |
women | 1 | 146 | 2.38 | 2.38 | 0.1233 | 0.1254 |
age80 | 1 | 109 | 5.80 | 5.80 | 0.0160 | 0.0177 |
women*age80 | 1 | 108 | 7.21 | 7.21 | 0.0073 | 0.0084 |
PMmood2 | 1 | 110 | 0.18 | 0.18 | 0.6746 | 0.6754 |
WPmood | 1 | 405 | 1.41 | 1.41 | 0.2344 | 0.2351 |
PMstressor40 | 1 | 124 | 10.28 | 10.28 | 0.0013 | 0.0017 |
stressor | 1 | 404 | 1.66 | 1.66 | 0.1974 | 0.1981 |
women*PMstressor40 | 1 | 128 | 3.99 | 3.99 | 0.0458 | 0.0480 |
women*stressor | 1 | 404 | 0.79 | 0.79 | 0.3743 | 0.3748 |
PMmood2*PMmood2 | 1 | 108 | 6.20 | 6.20 | 0.0128 | 0.0143 |
PMmood2*WPmood | 1 | 405 | 0.43 | 0.43 | 0.5135 | 0.5139 |
Eq 8.13reduced: Baseline Homogeneous Variance Model with Significant Fixed Effects Only |
Specifications | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Distribution for Dependent Variable | Normal |
Random Effects | U0i |
Distribution for Random Effects | Normal |
Subject Variable | PersonID |
Optimization Technique | Newton-Raphson |
Integration Method | Adaptive Gaussian Quadrature |
Dimensions | |
---|---|
Observations Used | 509 |
Observations Not Used | 0 |
Total Observations | 509 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Parameters | 14 |
Quadrature Points | 1 |
Parameters | ||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
fint | fsex | fage | fsexage | fbpmood | fwpmood | fcstress | fwpstress | f2sexstress | f1sexstress | fbpmood2 | fbpwpmood | varEint | vU0int | NegLogLike |
2.45 | -0.33 | 0.07 | -0.09 | -0.34 | 0.26 | 1.93 | 0.22 | -1.33 | -0.18 | -1.78 | 0.26 | -0.5 | -0.47 | 689.667896 |
Iteration History | ||||||
---|---|---|---|---|---|---|
Iter | Calls | NegLogLike | Diff | MaxGrad | Slope | |
1 | 32 | 689.654896 | 0.013 | 0.019887 | -0.02603 | |
2 | 48 | 689.654895 | 1.037E-6 | 3.982E-6 | -2.07E-6 |
NOTE: ABSGCONV convergence criterion satisfied. |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1379.3 |
AIC (smaller is better) | 1407.3 |
AICC (smaller is better) | 1408.2 |
BIC (smaller is better) | 1444.5 |
Parameter Estimates | |||||||||
---|---|---|---|---|---|---|---|---|---|
Parameter | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper | Gradient |
fint | 2.4501 | 0.3473 | 104 | 7.05 | <.0001 | 0.05 | 1.7613 | 3.1389 | -1.29E-8 |
fsex | -0.3300 | 0.2141 | 104 | -1.54 | 0.1263 | 0.05 | -0.7546 | 0.09462 | 1.39E-8 |
fage | 0.07222 | 0.03000 | 104 | 2.41 | 0.0178 | 0.05 | 0.01274 | 0.1317 | 3.982E-6 |
fsexage | -0.09030 | 0.03364 | 104 | -2.68 | 0.0085 | 0.05 | -0.1570 | -0.02359 | 2.989E-6 |
fbpmood | -0.3358 | 0.7998 | 104 | -0.42 | 0.6754 | 0.05 | -1.9219 | 1.2502 | 5.512E-8 |
fwpmood | 0.2631 | 0.2213 | 104 | 1.19 | 0.2371 | 0.05 | -0.1757 | 0.7019 | -1.09E-8 |
fcstress | 1.9255 | 0.6005 | 104 | 3.21 | 0.0018 | 0.05 | 0.7347 | 3.1164 | 2.38E-9 |
fwpstress | 0.2205 | 0.1710 | 104 | 1.29 | 0.2003 | 0.05 | -0.1187 | 0.5597 | 2.376E-9 |
f2sexstress | -1.3214 | 0.6618 | 104 | -2.00 | 0.0485 | 0.05 | -2.6338 | -0.00914 | 7.847E-9 |
f1sexstress | -0.1824 | 0.2053 | 104 | -0.89 | 0.3763 | 0.05 | -0.5895 | 0.2247 | 2.145E-8 |
fbpmood2 | -1.7753 | 0.7132 | 104 | -2.49 | 0.0144 | 0.05 | -3.1896 | -0.3611 | -3.66E-8 |
fbpwpmood | 0.2589 | 0.3962 | 104 | 0.65 | 0.5150 | 0.05 | -0.5269 | 1.0447 | 7.66E-9 |
varEint | -0.4954 | 0.07045 | 104 | -7.03 | <.0001 | 0.05 | -0.6351 | -0.3557 | -4.81E-7 |
vU0int | -0.4731 | 0.1677 | 104 | -2.82 | 0.0057 | 0.05 | -0.8055 | -0.1406 | -3.83E-7 |
Additional Estimates | ||||||||
---|---|---|---|---|---|---|---|---|
Label | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Level-1 Residual Variance | 0.6093 | 0.04293 | 104 | 14.19 | <.0001 | 0.05 | 0.5242 | 0.6945 |
Level-2 Random Intercept Variance | 0.6231 | 0.1045 | 104 | 5.96 | <.0001 | 0.05 | 0.4159 | 0.8302 |
Eq 8.14: Add Random Intercept Variance Heterogeneity by Sex, Age, L2 Negative Mood, and L2 Stressors |
Specifications | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Distribution for Dependent Variable | Normal |
Random Effects | U0i |
Distribution for Random Effects | Normal |
Subject Variable | PersonID |
Optimization Technique | Newton-Raphson |
Integration Method | Adaptive Gaussian Quadrature |
Dimensions | |
---|---|
Observations Used | 509 |
Observations Not Used | 0 |
Total Observations | 509 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Parameters | 18 |
Quadrature Points | 1 |
Parameters | ||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
fint | fsex | fage | fsexage | fbpmood | fwpmood | fcstress | fwpstress | f2sexstress | f1sexstress | fbpmood2 | fbpwpmood | varEint | vU0int | vU0sex | vU0age | vU0bpmood | vU0bpstress | NegLogLike |
2.45 | -0.33 | 0.07 | -0.09 | -0.34 | 0.26 | 1.93 | 0.22 | -1.33 | -0.18 | -1.78 | 0.26 | -0.5 | -0.47 | 0 | 0 | 0 | 0 | 689.667896 |
Iteration History | ||||||
---|---|---|---|---|---|---|
Iter | Calls | NegLogLike | Diff | MaxGrad | Slope | |
1 | 40 | 685.631025 | 4.03687 | 14.53166 | -8.36325 | |
2 | 60 | 685.566275 | 0.064751 | 0.484818 | -0.12684 | |
3 | 80 | 685.566191 | 0.000084 | 0.000994 | -0.00017 | |
4 | 100 | 685.566191 | 2.92E-10 | 3.917E-9 | -584E-12 |
NOTE: GCONV convergence criterion satisfied. |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1371.1 |
AIC (smaller is better) | 1407.1 |
AICC (smaller is better) | 1408.5 |
BIC (smaller is better) | 1454.9 |
Parameter Estimates | |||||||||
---|---|---|---|---|---|---|---|---|---|
Parameter | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper | Gradient |
fint | 2.4232 | 0.3430 | 104 | 7.06 | <.0001 | 0.05 | 1.7430 | 3.1033 | -439E-12 |
fsex | -0.3380 | 0.2103 | 104 | -1.61 | 0.1110 | 0.05 | -0.7550 | 0.07899 | -476E-12 |
fage | 0.07627 | 0.03062 | 104 | 2.49 | 0.0143 | 0.05 | 0.01554 | 0.1370 | 3.917E-9 |
fsexage | -0.08751 | 0.03409 | 104 | -2.57 | 0.0117 | 0.05 | -0.1551 | -0.01991 | 3.541E-9 |
fbpmood | -0.2133 | 0.7833 | 104 | -0.27 | 0.7859 | 0.05 | -1.7667 | 1.3401 | 4.63E-10 |
fwpmood | 0.2613 | 0.2212 | 104 | 1.18 | 0.2401 | 0.05 | -0.1773 | 0.7000 | 1.99E-12 |
fcstress | 1.8842 | 0.6088 | 104 | 3.10 | 0.0025 | 0.05 | 0.6770 | 3.0914 | 1.1E-10 |
fwpstress | 0.2246 | 0.1710 | 104 | 1.31 | 0.1919 | 0.05 | -0.1145 | 0.5636 | -103E-12 |
f2sexstress | -1.2272 | 0.6700 | 104 | -1.83 | 0.0699 | 0.05 | -2.5559 | 0.1014 | 1.02E-10 |
f1sexstress | -0.1863 | 0.2052 | 104 | -0.91 | 0.3659 | 0.05 | -0.5932 | 0.2205 | -101E-12 |
fbpmood2 | -1.5868 | 0.6769 | 104 | -2.34 | 0.0210 | 0.05 | -2.9291 | -0.2445 | -344E-12 |
fbpwpmood | 0.2561 | 0.3960 | 104 | 0.65 | 0.5192 | 0.05 | -0.5292 | 1.0415 | 1.9E-13 |
varEint | -0.4967 | 0.07034 | 104 | -7.06 | <.0001 | 0.05 | -0.6362 | -0.3572 | -126E-12 |
vU0int | -1.1026 | 0.7899 | 104 | -1.40 | 0.1658 | 0.05 | -2.6690 | 0.4639 | -21E-11 |
vU0sex | -0.1775 | 0.3852 | 104 | -0.46 | 0.6459 | 0.05 | -0.9413 | 0.5863 | -207E-12 |
vU0age | 0.03861 | 0.03293 | 104 | 1.17 | 0.2437 | 0.05 | -0.02669 | 0.1039 | 6.49E-10 |
vU0bpmood | -0.7100 | 0.8477 | 104 | -0.84 | 0.4042 | 0.05 | -2.3911 | 0.9711 | 1.67E-10 |
vU0bpstress | 1.5812 | 0.6028 | 104 | 2.62 | 0.0100 | 0.05 | 0.3858 | 2.7766 | 2.82E-11 |
Contrasts | ||||
---|---|---|---|---|
Label | Num DF | Den DF | F Value | Pr > F |
Multivariate Test of 4 Predictors of Random Intercept Variance Heterogeneity | 4 | 104 | 1.92 | 0.1130 |
Additional Estimates | ||||||||
---|---|---|---|---|---|---|---|---|
Label | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Level-1 Residual Variance | 0.6086 | 0.04281 | 104 | 14.22 | <.0001 | 0.05 | 0.5237 | 0.6935 |
Level-2 Random Intercept Variance | 0.3320 | 0.2623 | 104 | 1.27 | 0.2084 | 0.05 | -0.1881 | 0.8521 |
Eq 8.15: Add Residual Variance Heterogeneity by Sex, Age, Both Negative Mood, and Both Stressors |
Specifications | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Distribution for Dependent Variable | Normal |
Random Effects | U0i |
Distribution for Random Effects | Normal |
Subject Variable | PersonID |
Optimization Technique | Newton-Raphson |
Integration Method | Adaptive Gaussian Quadrature |
Dimensions | |
---|---|
Observations Used | 509 |
Observations Not Used | 0 |
Total Observations | 509 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Parameters | 24 |
Quadrature Points | 1 |
Parameters | ||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
fint | fsex | fage | fsexage | fbpmood | fwpmood | fcstress | fwpstress | f2sexstress | f1sexstress | fbpmood2 | fbpwpmood | varEint | varEsex | varEage | varEbpmood | varEbpstress | varEwpmood | varEwpstress | vU0int | vU0sex | vU0age | vU0bpmood | vU0bpstress | NegLogLike |
2.45 | -0.33 | 0.07 | -0.09 | -0.34 | 0.26 | 1.93 | 0.22 | -1.33 | -0.18 | -1.78 | 0.26 | -0.5 | 0 | 0 | 0 | 0 | 0 | 0 | -0.47 | 0 | 0 | 0 | 0 | 689.667896 |
Iteration History | ||||||
---|---|---|---|---|---|---|
Iter | Calls | NegLogLike | Diff | MaxGrad | Slope | |
1 | 52 | 673.905929 | 15.76197 | 19.17296 | -33.0308 | |
2 | 78 | 673.172251 | 0.733677 | 1.713376 | -1.41624 | |
3 | 104 | 673.169487 | 0.002764 | 0.012275 | -0.00551 | |
4 | 130 | 673.169487 | 1.099E-7 | 7.751E-7 | -2.2E-7 |
NOTE: ABSGCONV convergence criterion satisfied. |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1346.3 |
AIC (smaller is better) | 1394.3 |
AICC (smaller is better) | 1396.8 |
BIC (smaller is better) | 1458.0 |
Parameter Estimates | |||||||||
---|---|---|---|---|---|---|---|---|---|
Parameter | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper | Gradient |
fint | 2.4342 | 0.3656 | 104 | 6.66 | <.0001 | 0.05 | 1.7093 | 3.1592 | -1.44E-7 |
fsex | -0.3371 | 0.2083 | 104 | -1.62 | 0.1086 | 0.05 | -0.7501 | 0.07590 | -1.39E-7 |
fage | 0.07410 | 0.03061 | 104 | 2.42 | 0.0172 | 0.05 | 0.01340 | 0.1348 | 7.751E-7 |
fsexage | -0.08544 | 0.03419 | 104 | -2.50 | 0.0140 | 0.05 | -0.1532 | -0.01764 | 7.006E-7 |
fbpmood | -0.1565 | 0.8907 | 104 | -0.18 | 0.8608 | 0.05 | -1.9229 | 1.6098 | 1.179E-7 |
fwpmood | 0.1523 | 0.3170 | 104 | 0.48 | 0.6319 | 0.05 | -0.4763 | 0.7809 | 2.439E-8 |
fcstress | 1.9172 | 0.5957 | 104 | 3.22 | 0.0017 | 0.05 | 0.7359 | 3.0986 | 2.696E-8 |
fwpstress | 0.2096 | 0.1610 | 104 | 1.30 | 0.1959 | 0.05 | -0.1097 | 0.5289 | -2.83E-8 |
f2sexstress | -1.2466 | 0.6592 | 104 | -1.89 | 0.0614 | 0.05 | -2.5538 | 0.06055 | 2.649E-8 |
f1sexstress | -0.1763 | 0.1951 | 104 | -0.90 | 0.3681 | 0.05 | -0.5632 | 0.2105 | -2.64E-8 |
fbpmood2 | -1.5360 | 0.7473 | 104 | -2.06 | 0.0423 | 0.05 | -3.0178 | -0.05409 | -1.03E-7 |
fbpwpmood | 0.08260 | 0.5216 | 104 | 0.16 | 0.8745 | 0.05 | -0.9518 | 1.1170 | -2.04E-9 |
varEint | -0.08380 | 0.3079 | 104 | -0.27 | 0.7860 | 0.05 | -0.6943 | 0.5267 | -6.2E-8 |
varEsex | 0.07056 | 0.1664 | 104 | 0.42 | 0.6723 | 0.05 | -0.2593 | 0.4004 | -4.71E-8 |
varEage | -0.00322 | 0.01310 | 104 | -0.25 | 0.8065 | 0.05 | -0.02919 | 0.02276 | -5.13E-8 |
varEbpmood | 0.6965 | 0.3369 | 104 | 2.07 | 0.0412 | 0.05 | 0.02840 | 1.3647 | 2.497E-8 |
varEbpstress | 0.6980 | 0.3153 | 104 | 2.21 | 0.0290 | 0.05 | 0.07277 | 1.3232 | -4.97E-9 |
varEwpmood | 0.02616 | 0.3095 | 104 | 0.08 | 0.9328 | 0.05 | -0.5876 | 0.6400 | 6.266E-9 |
varEwpstress | -0.00901 | 0.2178 | 104 | -0.04 | 0.9671 | 0.05 | -0.4409 | 0.4229 | -2.97E-8 |
vU0int | -1.0810 | 0.8060 | 104 | -1.34 | 0.1828 | 0.05 | -2.6794 | 0.5174 | -3.4E-8 |
vU0sex | -0.1526 | 0.3840 | 104 | -0.40 | 0.6919 | 0.05 | -0.9140 | 0.6088 | -3.29E-8 |
vU0age | 0.03917 | 0.03203 | 104 | 1.22 | 0.2241 | 0.05 | -0.02435 | 0.1027 | 1.973E-7 |
vU0bpmood | -0.6983 | 0.8723 | 104 | -0.80 | 0.4252 | 0.05 | -2.4282 | 1.0315 | 2.785E-8 |
vU0bpstress | 1.4248 | 0.5869 | 104 | 2.43 | 0.0169 | 0.05 | 0.2609 | 2.5887 | 6.365E-9 |
Contrasts | ||||
---|---|---|---|---|
Label | Num DF | Den DF | F Value | Pr > F |
Multivariate Test of 6 Predictors of Residual Variance Heterogeneity | 6 | 104 | 3.95 | 0.0014 |
Additional Estimates | ||||||||
---|---|---|---|---|---|---|---|---|
Label | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Level-1 Residual Variance | 0.9196 | 0.2831 | 104 | 3.25 | 0.0016 | 0.05 | 0.3581 | 1.4811 |
Level-2 Random Intercept Variance | 0.3393 | 0.2734 | 104 | 1.24 | 0.2175 | 0.05 | -0.2030 | 0.8815 |
Ch 8: Final Heterogeneous Variance Model |
Specifications | |
---|---|
Data Set | WORK.CHAPTER8 |
Dependent Variable | symptoms |
Distribution for Dependent Variable | Normal |
Random Effects | U0i |
Distribution for Random Effects | Normal |
Subject Variable | PersonID |
Optimization Technique | Newton-Raphson |
Integration Method | Adaptive Gaussian Quadrature |
Dimensions | |
---|---|
Observations Used | 509 |
Observations Not Used | 0 |
Total Observations | 509 |
Subjects | 105 |
Max Obs Per Subject | 5 |
Parameters | 15 |
Quadrature Points | 1 |
Parameters | |||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
fint | fsex | fage | fsexage | fbpmood | fwpmood | fcstress | fwpstress | f2sexstress | f1sexstress | varEint | varEbpmood | varEbpstress | vU0int | vU0bpstress | NegLogLike |
2.45 | -0.33 | 0.07 | -0.09 | 1.66 | 0.26 | 1.93 | 0.22 | -1.33 | -0.18 | -0.5 | 0 | 0 | -0.47 | 0 | 701.694823 |
Iteration History | ||||||
---|---|---|---|---|---|---|
Iter | Calls | NegLogLike | Diff | MaxGrad | Slope | |
1 | 34 | 687.486737 | 14.20809 | 46.3476 | -55.4491 | |
2 | 51 | 676.789293 | 10.69744 | 7.699735 | -18.9899 | |
3 | 68 | 675.92789 | 0.861403 | 1.32277 | -1.63614 | |
4 | 85 | 675.917527 | 0.010363 | 0.014223 | -0.02054 | |
5 | 102 | 675.917525 | 2.611E-6 | 5.271E-6 | -5.22E-6 |
NOTE: ABSGCONV convergence criterion satisfied. |
Fit Statistics | |
---|---|
-2 Log Likelihood | 1351.8 |
AIC (smaller is better) | 1381.8 |
AICC (smaller is better) | 1382.8 |
BIC (smaller is better) | 1421.6 |
Parameter Estimates | |||||||||
---|---|---|---|---|---|---|---|---|---|
Parameter | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper | Gradient |
fint | 2.8033 | 0.3679 | 104 | 7.62 | <.0001 | 0.05 | 2.0737 | 3.5329 | 5.271E-6 |
fsex | -0.3432 | 0.2060 | 104 | -1.67 | 0.0988 | 0.05 | -0.7517 | 0.06534 | 4.208E-6 |
fage | 0.06782 | 0.02980 | 104 | 2.28 | 0.0249 | 0.05 | 0.008729 | 0.1269 | -1.44E-6 |
fsexage | -0.08734 | 0.03303 | 104 | -2.64 | 0.0095 | 0.05 | -0.1528 | -0.02184 | 4.216E-7 |
fbpmood | 1.6584 | 0.3974 | 104 | 4.17 | <.0001 | 0.05 | 0.8704 | 2.4464 | -4.67E-6 |
fwpmood | 0.1022 | 0.1473 | 104 | 0.69 | 0.4892 | 0.05 | -0.1899 | 0.3944 | -2.84E-9 |
fcstress | 2.0445 | 0.6011 | 104 | 3.40 | 0.0010 | 0.05 | 0.8526 | 3.2365 | -1.56E-6 |
fwpstress | 0.2057 | 0.1647 | 104 | 1.25 | 0.2145 | 0.05 | -0.1209 | 0.5323 | 5.378E-7 |
f2sexstress | -1.3649 | 0.6707 | 104 | -2.04 | 0.0444 | 0.05 | -2.6950 | -0.03488 | -1.3E-6 |
f1sexstress | -0.1768 | 0.1980 | 104 | -0.89 | 0.3739 | 0.05 | -0.5694 | 0.2158 | 3.796E-7 |
varEint | -0.01069 | 0.2766 | 104 | -0.04 | 0.9693 | 0.05 | -0.5593 | 0.5379 | -1.01E-6 |
varEbpmood | 0.7229 | 0.3287 | 104 | 2.20 | 0.0301 | 0.05 | 0.07104 | 1.3748 | 8.636E-7 |
varEbpstress | 0.6773 | 0.2250 | 104 | 3.01 | 0.0033 | 0.05 | 0.2311 | 1.1236 | 2.647E-7 |
vU0int | -0.5725 | 0.1712 | 104 | -3.34 | 0.0011 | 0.05 | -0.9120 | -0.2331 | -1.23E-6 |
vU0bpstress | 1.3877 | 0.5348 | 104 | 2.59 | 0.0108 | 0.05 | 0.3272 | 2.4483 | 3.085E-7 |
Additional Estimates | ||||||||
---|---|---|---|---|---|---|---|---|
Label | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
Intercept: Men | 2.8033 | 0.3679 | 104 | 7.62 | <.0001 | 0.05 | 2.0737 | 3.5329 |
Intercept: Women | 2.4601 | 0.3416 | 104 | 7.20 | <.0001 | 0.05 | 1.7827 | 3.1375 |
Intercept: Sex Diff | -0.3432 | 0.2060 | 104 | -1.67 | 0.0988 | 0.05 | -0.7517 | 0.06534 |
Age Slope: Men | 0.06782 | 0.02980 | 104 | 2.28 | 0.0249 | 0.05 | 0.008729 | 0.1269 |
Age Slope: Women | -0.01952 | 0.01505 | 104 | -1.30 | 0.1976 | 0.05 | -0.04937 | 0.01033 |
Age Slope: Sex Diff | -0.08734 | 0.03303 | 104 | -2.64 | 0.0095 | 0.05 | -0.1528 | -0.02184 |
BP Negative Mood | 1.6584 | 0.3974 | 104 | 4.17 | <.0001 | 0.05 | 0.8704 | 2.4464 |
Contextual Negative Mood | 1.5562 | 0.4239 | 104 | 3.67 | 0.0004 | 0.05 | 0.7155 | 2.3968 |
WP Negative Mood | 0.1022 | 0.1473 | 104 | 0.69 | 0.4892 | 0.05 | -0.1899 | 0.3944 |
BP Stress: Men | 2.2502 | 0.5774 | 104 | 3.90 | 0.0002 | 0.05 | 1.1053 | 3.3951 |
BP Stress: Women | 0.7085 | 0.3137 | 104 | 2.26 | 0.0260 | 0.05 | 0.08652 | 1.3305 |
BP Stress: Sex Diff | -1.5417 | 0.6402 | 104 | -2.41 | 0.0178 | 0.05 | -2.8114 | -0.2721 |
Contextual Stressors: Men | 2.0445 | 0.6011 | 104 | 3.40 | 0.0010 | 0.05 | 0.8526 | 3.2365 |
Contextual Stressors: Women | 0.6796 | 0.3329 | 104 | 2.04 | 0.0437 | 0.05 | 0.01942 | 1.3398 |
Contextual Stressors: Sex Diff | -1.3649 | 0.6707 | 104 | -2.04 | 0.0444 | 0.05 | -2.6950 | -0.03488 |
WP Stressors: Men | 0.2057 | 0.1647 | 104 | 1.25 | 0.2145 | 0.05 | -0.1209 | 0.5323 |
WP Stressors: Women | 0.02888 | 0.1122 | 104 | 0.26 | 0.7974 | 0.05 | -0.1936 | 0.2514 |
WP Stressors: Sex Diff | -0.1768 | 0.1980 | 104 | -0.89 | 0.3739 | 0.05 | -0.5694 | 0.2158 |
Contextual Stressors per Day: Men | 0.4089 | 0.1202 | 104 | 3.40 | 0.0010 | 0.05 | 0.1705 | 0.6473 |
Contextual Stressors per Day: Women | 0.1359 | 0.06658 | 104 | 2.04 | 0.0437 | 0.05 | 0.003883 | 0.2680 |
Men, PMstressor=20%, Stressor=0 | 2.3944 | 0.3920 | 104 | 6.11 | <.0001 | 0.05 | 1.6171 | 3.1717 |
Men, PMstressor=20%, Stressor=1 | 2.6001 | 0.4121 | 104 | 6.31 | <.0001 | 0.05 | 1.7829 | 3.4173 |
Men, PMstressor=80%, Stressor=0 | 3.6211 | 0.4307 | 104 | 8.41 | <.0001 | 0.05 | 2.7669 | 4.4753 |
Men, PMstressor=80%, Stressor=1 | 3.8268 | 0.4107 | 104 | 9.32 | <.0001 | 0.05 | 3.0124 | 4.6412 |
Women, PMstressor=20%, Stressor=0 | 2.3242 | 0.3585 | 104 | 6.48 | <.0001 | 0.05 | 1.6133 | 3.0351 |
Women, PMstressor=20%, Stressor=1 | 2.3531 | 0.3680 | 104 | 6.39 | <.0001 | 0.05 | 1.6234 | 3.0828 |
Women, PMstressor=80%, Stressor=0 | 2.7320 | 0.3459 | 104 | 7.90 | <.0001 | 0.05 | 2.0460 | 3.4180 |
Women, PMstressor=80%, Stressor=1 | 2.7609 | 0.3340 | 104 | 8.27 | <.0001 | 0.05 | 2.0986 | 3.4231 |
Ch 8: Final Heterogeneous Variance Model |
2 Variables: | symptoms Pred |
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Simple Statistics | |||||||
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Variable | N | Mean | Std Dev | Sum | Minimum | Maximum | Label |
symptoms | 509 | 1.27308 | 1.32439 | 648.00000 | 0 | 5.00000 | symptoms: # Daily Physical Symptoms (0=5) |
Pred | 509 | 1.28561 | 0.74722 | 654.37298 | -0.18243 | 4.54449 | Predicted Value |
Pearson Correlation Coefficients, N = 509 Prob > |r| under H0: Rho=0 |
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