This chapter uses opposites_wide.dat obtained from opposites_pp.dat by turning it into wide format. Notice that the results on variance and covariance below do not match with the results in the book completely. This is because, Mplus uses full maximum likelihood estimation method rather than restricted maximum likelihood estimation method. The results match with the results from SAS proc mixed when estimation method is chosen to be the full maximum likelihood method (method = ml).
Table 7.2, page 246
Title: model on page 246
Data:
File is d:aldaopposites_wide.dat ;
Variable:
Names are
id opp1 opp2 opp3 opp4 cog ccog;
Missing are all (-9999) ;
usev = opp1-opp4 ccog;
Analysis:
Type = meanstructure;
Model:
i by opp1 - opp4@1;
s by opp1@0 opp2@1 opp3@2 opp4@3;
i s on ccog;
[i s];
[opp1-opp4@0]; ! constraining the mean to be zero at all time points.
opp1 - opp4 (1); ! constraining the residual variance to be equal
! at all time points.
TESTS OF MODEL FIT
Chi-Square Test of Model Fit
Value 6.899
Degrees of Freedom 10
P-Value 0.7350
Chi-Square Test of Model Fit for the Baseline Model
Value 134.996
Degrees of Freedom 10
P-Value 0.0000
CFI/TLI
CFI 1.000
TLI 1.025
Loglikelihood
H0 Value -770.987
H1 Value -767.538
Information Criteria
Number of Free Parameters 8
Akaike (AIC) 1557.975
Bayesian (BIC) 1570.418
Sample-Size Adjusted BIC 1545.438
(n* = (n + 2) / 24)
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.000
90 Percent C.I. 0.000 0.134
Probability RMSEA <= .05 0.787
SRMR (Standardized Root Mean Square Residual)
Value 0.043
MODEL RESULTS
Estimates S.E. Est./S.E.
I BY
OPP1 1.000 0.000 0.000
OPP2 1.000 0.000 0.000
OPP3 1.000 0.000 0.000
OPP4 1.000 0.000 0.000
S BY
OPP1 0.000 0.000 0.000
OPP2 1.000 0.000 0.000
OPP3 2.000 0.000 0.000
OPP4 3.000 0.000 0.000
I ON
CCOG -0.114 0.489 -0.232
S ON
CCOG 0.433 0.157 2.753
S WITH
I -165.313 78.280 -2.112
Intercepts
OPP1 0.000 0.000 0.000
OPP2 0.000 0.000 0.000
OPP3 0.000 0.000 0.000
OPP4 0.000 0.000 0.000
I 164.374 6.026 27.277
S 26.960 1.936 13.925
Residual Variances
OPP1 159.477 26.956 5.916
OPP2 159.477 26.956 5.916
OPP3 159.477 26.956 5.916
OPP4 159.477 26.956 5.916
I 1159.394 304.419 3.809
S 99.295 31.821 3.120
Table 7.3, pages 258-259
Unstructured:
Title: Unstructured
Data:
File is d:aldaopposites_wide.dat ;
Variable:
Names are
id opp1 opp2 opp3 opp4 cog ccog;
Missing are all (-9999) ;
usev = opp1-opp4 ccog;
Analysis:
Type = meanstructure;
Model:
i by opp1 - opp4@1;
s by opp1@0 opp2@1 opp3@2 opp4@3;
i s on ccog;
i@0 s@0;
i with s@0;
[i s];
[opp1-opp4@0];
opp1 - opp4 ;
opp1 with opp2 ;
opp1 with opp3 ;
opp1 with opp4 ;
opp2 with opp3 ;
opp2 with opp4 ;
opp3 with opp4 ;
TESTS OF MODEL FIT
Chi-Square Test of Model Fit
Value 2.135
Degrees of Freedom 4
P-Value 0.7106
Chi-Square Test of Model Fit for the Baseline Model
Value 134.996
Degrees of Freedom 10
P-Value 0.0000
CFI/TLI
CFI 1.000
TLI 1.037
Loglikelihood
H0 Value -768.606
H1 Value -767.538
Information Criteria
Number of Free Parameters 14
Akaike (AIC) 1565.211
Bayesian (BIC) 1586.986
Sample-Size Adjusted BIC 1543.271
(n* = (n + 2) / 24)
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.000
90 Percent C.I. 0.000 0.189
Probability RMSEA <= .05 0.743
SRMR (Standardized Root Mean Square Residual)
Value 0.031
MODEL RESULTS
Estimates S.E. Est./S.E.
I BY
OPP1 1.000 0.000 0.000
OPP2 1.000 0.000 0.000
OPP3 1.000 0.000 0.000
OPP4 1.000 0.000 0.000
S BY
OPP1 0.000 0.000 0.000
OPP2 1.000 0.000 0.000
OPP3 2.000 0.000 0.000
OPP4 3.000 0.000 0.000
I ON
CCOG -0.074 0.469 -0.158
S ON
CCOG 0.458 0.152 3.018
I WITH
S 0.000 0.000 0.000
OPP1 WITH
OPP2 946.582 255.902 3.699
OPP3 898.654 257.104 3.495
OPP4 547.324 223.609 2.448
OPP2 WITH
OPP3 977.830 253.599 3.856
OPP4 800.101 232.207 3.446
OPP3 WITH
OPP4 912.222 249.427 3.657
Intercepts
OPP1 0.000 0.000 0.000
OPP2 0.000 0.000 0.000
OPP3 0.000 0.000 0.000
OPP4 0.000 0.000 0.000
I 165.832 5.780 28.688
S 26.584 1.870 14.216
Residual Variances
OPP1 1274.249 304.604 4.183
OPP2 1095.531 261.882 4.183
OPP3 1181.880 282.523 4.183
OPP4 1138.294 272.104 4.183
I 0.000 0.000 0.000
S 0.000 0.000 0.000
Table 7.3, pages 258-259
Compound symmetry:
Data:
File is d:aldaopposites_wide.dat ;
Variable:
Names are
id opp1 opp2 opp3 opp4 cog ccog;
Missing are all (-9999) ;
usev = opp1-opp4 ccog;
Analysis:
Type = meanstructure;
Model:
i by opp1 - opp4@1;
s by opp1@0 opp2@1 opp3@2 opp4@3;
i s on ccog;
i@0 s@0;
[i s];
i with s@0;
[opp1-opp4@0];
opp1 - opp4 (1);
opp1 with opp2 (2);
opp1 with opp3 (2);
opp1 with opp4 (2);
opp2 with opp3 (2);
opp2 with opp4 (2);
opp3 with opp4 (2);
TESTS OF MODEL FIT
Chi-Square Test of Model Fit
Value 32.222
Degrees of Freedom 12
P-Value 0.0013
Chi-Square Test of Model Fit for the Baseline Model
Value 134.996
Degrees of Freedom 10
P-Value 0.0000
CFI/TLI
CFI 0.838
TLI 0.865
Loglikelihood
H0 Value -783.649
H1 Value -767.538
Information Criteria
Number of Free Parameters 6
Akaike (AIC) 1579.298
Bayesian (BIC) 1588.630
Sample-Size Adjusted BIC 1569.895
(n* = (n + 2) / 24)
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.219
90 Percent C.I. 0.130 0.313
Probability RMSEA <= .05 0.003
SRMR (Standardized Root Mean Square Residual)
Value 0.068
MODEL RESULTS
Estimates S.E. Est./S.E.
I BY
OPP1 1.000 0.000 0.000
OPP2 1.000 0.000 0.000
OPP3 1.000 0.000 0.000
OPP4 1.000 0.000 0.000
S BY
OPP1 0.000 0.000 0.000
OPP2 1.000 0.000 0.000
OPP3 2.000 0.000 0.000
OPP4 3.000 0.000 0.000
I ON
CCOG -0.114 0.450 -0.253
S ON
CCOG 0.433 0.111 3.911
I WITH
S 0.000 0.000 0.000
OPP1 WITH
OPP2 845.479 221.813 3.812
OPP3 845.479 221.813 3.812
OPP4 845.479 221.813 3.812
OPP2 WITH
OPP3 845.479 221.813 3.812
OPP4 845.479 221.813 3.812
OPP3 WITH
OPP4 845.479 221.813 3.812
Intercepts
OPP1 0.000 0.000 0.000
OPP2 0.000 0.000 0.000
OPP3 0.000 0.000 0.000
OPP4 0.000 0.000 0.000
I 164.374 5.537 29.688
S 26.960 1.363 19.784
Residual Variances
OPP1 1170.454 224.068 5.224
OPP2 1170.454 224.068 5.224
OPP3 1170.454 224.068 5.224
OPP4 1170.454 224.068 5.224
I 0.000 0.000 0.000
S 0.000 0.000 0.000
Table 7.3, pages 258-259
Heterogeneous compound symmetry:
Table 7.3, pages 258-259
Toeplitz:
Title:
Toeplitz
Data:
File is d:aldaopposites_wide.dat ;
Variable:
Names are
id opp1 opp2 opp3 opp4 cog ccog;
Missing are all (-9999) ;
usev = opp1-opp4 ccog;
Analysis:
Type = meanstructure;
Model:
i by opp1 - opp4@1;
s by opp1@0 opp2@1 opp3@2 opp4@3;
i s on ccog;
i@0 s@0;
[i s];
i with s@0;
[opp1-opp4@0];
opp1 - opp4 (1) ;
opp1 with opp2 (2);
opp1 with opp3 (3);
opp1 with opp4 (4);
opp2 with opp3 (2);
opp2 with opp4 (3);
opp3 with opp4 (2);
TESTS OF MODEL FIT
Chi-Square Test of Model Fit
Value 4.495
Degrees of Freedom 10
P-Value 0.9223
Chi-Square Test of Model Fit for the Baseline Model
Value 134.996
Degrees of Freedom 10
P-Value 0.0000
CFI/TLI
CFI 1.000
TLI 1.044
Loglikelihood
H0 Value -769.785
H1 Value -767.538
Information Criteria
Number of Free Parameters 8
Akaike (AIC) 1555.571
Bayesian (BIC) 1568.014
Sample-Size Adjusted BIC 1543.034
(n* = (n + 2) / 24)
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.000
90 Percent C.I. 0.000 0.062
Probability RMSEA <= .05 0.942
SRMR (Standardized Root Mean Square Residual)
Value 0.049
MODEL RESULTS
Estimates S.E. Est./S.E.
I BY
OPP1 1.000 0.000 0.000
OPP2 1.000 0.000 0.000
OPP3 1.000 0.000 0.000
OPP4 1.000 0.000 0.000
S BY
OPP1 0.000 0.000 0.000
OPP2 1.000 0.000 0.000
OPP3 2.000 0.000 0.000
OPP4 3.000 0.000 0.000
I ON
CCOG -0.007 0.467 -0.015
S ON
CCOG 0.437 0.154 2.836
I WITH
S 0.000 0.000 0.000
OPP1 WITH
OPP2 963.091 217.544 4.427
OPP3 840.635 212.463 3.957
OPP4 582.066 216.509 2.688
OPP2 WITH
OPP3 963.091 217.544 4.427
OPP4 840.635 212.463 3.957
OPP3 WITH
OPP4 963.091 217.544 4.427
Intercepts
OPP1 0.000 0.000 0.000
OPP2 0.000 0.000 0.000
OPP3 0.000 0.000 0.000
OPP4 0.000 0.000 0.000
I 165.073 5.755 28.681
S 26.892 1.896 14.183
Residual Variances
OPP1 1177.268 220.702 5.334
OPP2 1177.268 220.702 5.334
OPP3 1177.268 220.702 5.334
OPP4 1177.268 220.702 5.334
I 0.000 0.000 0.000
S 0.000 0.000 0.000
Table 7.4 on page 265. The results are already shown above in each of the corresponding model.