Development of a Quality Measure for Adults with Post-Traumatic Stress Disorder. APPENDIX L: Comparison Between Bayesian and Weighted Least Squares and Mean Variance Adjusted Estimators

05/01/2019

TABLE L.1. Comparison Between Bayesian and WLSMV Adjusted Estimators: Clinical Confirmatory Factor-Analytic Models
Item and Item Number Bayesian Estimates WLSMV Estimates
Estimate Posterior S.D. One-Tailed p 95% C.I. Signif. Estimate S.E. Est/S.E. p-value
Lower 2.5% Upper 2.5%
F1
1. AGENDA 0.98 0.02 0.00 0.91 0.99 * 0.71 0.08 8.43 0.00
2. REVIEW AGENDA 0.98 0.02 0.00 0.93 0.99 * 0.73 0.08 9.00 0.00
4. EXPECTATIONS 0.60 0.11 0.00 0.35 0.78 * 0.78 0.08 9.39 0.00
5. GOALS 0.41 0.14 0.00 0.11 0.65 * 0.45 0.13 3.62 0.00
15. DIRECTIVE 0.79 0.11 0.00 0.50 0.93 * 0.57 0.15 3.92 0.00
16. TX FEEDBACK 0.49 0.13 0.00 0.22 0.71 * 0.69 0.09 7.33 0.00
29.b. TODAY INSTRUC 0.83 0.11 0.00 0.51 0.95 * 0.69 0.15 4.77 0.00
32.a. EVER OUTLINE 0.45 0.16 0.01 0.10 0.69 * 0.47 0.19 2.49 0.01
32.b. TODAY OUTLINE 0.83 0.07 0.00 0.67 0.92 * 1.05 0.08 13.59 0.00
F2
12.a. IMAGINE 0.69 0.12 0.00 0.42 0.87 * 0.66 0.11 5.92 0.00
12.b. WRITE 0.88 0.07 0.00 0.68 0.96 * 0.92 0.07 14.05 0.00
12.c. OTHER SOCRAT 0.93 0.06 0.00 0.76 0.98 * 0.79 0.06 12.33 0.00
12.d. REAL 0.74 0.12 0.00 0.43 0.90 * 0.67 0.14 4.74 0.00
3. BACKGROUND 0.68 0.10 0.00 0.43 0.83 * 0.86 0.07 12.05 0.00
6. IDENTIFY 0.65 0.11 0.00 0.39 0.82 * 0.71 0.11 6.54 0.00
7. COG RESTRUC 0.58 0.12 0.00 0.31 0.77 * 0.57 0.10 5.95 0.00
8. SOCRAT 0.79 0.09 0.00 0.56 0.92 * 0.75 0.07 11.23 0.00
10. OTHER IDENTIFY 0.52 0.12 0.00 0.25 0.71 * 0.60 0.09 6.51 0.00
11. TECHNIQUES 0.52 0.12 0.00 0.24 0.71 * 0.50 0.11 4.69 0.00
13. DISCUSS 0.64 0.10 0.00 0.40 0.80 * 0.60 0.09 6.55 0.00
30.a. EVER SYMP EDU 0.90 0.06 0.00 0.72 0.96 * 0.86 0.16 5.43 0.00
30.b. TODAY SYMP EDU 0.65 0.11 0.00 0.40 0.81 * 0.75 0.07 10.98 0.00
31.b. TODAY TRAUMA ED 0.49 0.13 0.00 0.21 0.71 * 0.56 0.11 5.31 0.00
12. OVERALL TECHNIQUES 0.98 0.02 0.00 0.93 0.99 * 0.80 0.06 13.92 0.00
F3
24. CONFIDENT 0.65 0.07 0.00 0.49 0.78 * 1.06 0.28 3.74 0.00
25. LIKES 0.83 0.06 0.00 0.69 0.92 * 0.46 0.13 3.67 0.00
26. TRUST 0.87 0.05 0.00 0.75 0.96 * 0.55 0.15 3.67 0.00
F4
9. FACILITATE 0.48 0.14 0.00 0.17 0.71 * 0.62 0.15 4.28 0.00
17. TH FEEDBACK 0.68 0.13 0.00 0.39 0.90 * 0.77 0.14 5.69 0.00
27.b. TODAY SUIC 0.76 0.11 0.00 0.50 0.93 * 0.67 0.15 4.38 0.00
28.a. EVER USE SUIC 0.58 0.14 0.00 0.26 0.80 * 0.44 0.14 3.11 0.00
28.b. TODAY USE SUIC 0.92 0.07 0.00 0.70 0.97 * 0.77 0.12 6.36 0.00
F5
18. ASSIGN 0.96 0.03 0.00 0.89 0.99 * 0.94 0.05 20.44 0.00
19. REVIEW INST 0.94 0.04 0.00 0.83 0.98 * 1.01 0.04 23.35 0.00
20. ADDRESS 0.91 0.06 0.00 0.76 0.97 * 0.97 0.05 20.12 0.00
21. SOLUTION 0.80 0.08 0.00 0.58 0.91 * 0.77 0.08 9.79 0.00
22. REVIEW HMWK 0.83 0.08 0.00 0.61 0.94 * 0.79 0.06 12.74 0.00
F2
F1 0.49 0.10 0.00 0.26 0.67 * 0.66 0.07 9.40 0.00
F3
F1 -0.01 0.12 0.46 -0.26 0.22   0.14 0.12 1.12 0.27
F2 0.12 0.12 0.17 -0.12 0.34   0.21 0.11 1.95 0.05
F4
F1 0.37 0.13 0.00 0.09 0.60 * 0.50 0.11 4.52 0.00
F2 0.37 0.12 0.00 0.11 0.59 * 0.49 0.11 4.62 0.00
F3 -0.14 0.13 0.16 -0.39 0.12   0.01 0.13 0.05 0.96
F5
F1 0.37 0.11 0.00 0.14 0.57 * 0.40 0.11 3.67 0.00
F2 0.51 0.10 0.00 0.29 0.68 * 0.52 0.08 6.28 0.00
F3 0.24 0.12 0.03 -0.01 0.47   0.30 0.11 2.61 0.01
F4 0.19 0.14 0.10 -0.10 0.46   0.19 0.13 1.43 0.15
NOTE: In Bayesian models "significance" (*) indicates that the true factor loading will lie within the estimated credibility interval with the 95% posterior probability. A blank cell indicates the factor is not statistically significant.

 

TABLE L.2. Comparison Between Bayesian and WLSMV Adjusted Estimators: Supervisor Confirmatory Factor-Analytic Models
Item and Item Number Bayesian Estimates WLSMV Estimates
Estimate Posterior S.D. One-Tailed p 95% C.I. Signif. Estimate S.E. Est/S.E. p-value
Lower 2.5% Upper 2.5%
F1
2. AGENDA 0.96 0.02 0.00 0.90 0.99 * 0.96 0.06 16.71 0.00
3. REVIEW AGENDA 0.97 0.02 0.00 0.93 0.99 * 1.01 0.03 29.54 0.00
5. EXPECTATIONS 0.85 0.07 0.00 0.69 0.94 * 0.89 0.06 15.68 0.00
6. GOALS 0.75 0.09 0.00 0.53 0.88 * 0.80 0.08 10.50 0.00
16. DIRECTIVE 0.76 0.12 0.00 0.45 0.91 * 0.64 0.13 5.04 0.00
17. TX FEEDBACK 0.94 0.04 0.00 0.84 0.98 * 0.94 0.05 20.75 0.00
33.b. TODAY OUTLINE 0.80 0.08 0.00 0.60 0.91 * 0.81 0.08 10.48 0.00
F2
13.a. IMAGINE 0.73 0.13 0.00 0.42 0.90 * 0.57 0.12 4.66 0.00
13.b. WRITE 0.76 0.09 0.00 0.53 0.89 * 0.77 0.08 9.40 0.00
13.c. OTHER SOCRAT 0.91 0.04 0.00 0.81 0.96 * 0.87 0.06 15.54 0.00
13.d. REAL 0.70 0.12 0.00 0.42 0.88 * 0.76 0.09 8.38 0.00
4. BACKGROUND 0.81 0.07 0.00 0.62 0.91 * 0.83 0.07 12.38 0.00
7. IDENTIFY 0.83 0.07 0.00 0.64 0.92 * 0.80 0.08 9.66 0.00
8. COG RESTRUC 0.56 0.12 0.00 0.27 0.75 * 0.60 0.11 5.24 0.00
9. SOCRAT 0.47 0.14 0.00 0.14 0.70 * 0.46 0.13 3.44 0.00
11. OTHER IDENTIFY 0.85 0.06 0.00 0.70 0.94 * 0.90 0.06 16.09 0.00
12. TECHNIQUES 0.79 0.08 0.00 0.60 0.90 * 0.87 0.05 16.48 0.00
14. DISCUSS 0.80 0.07 0.00 0.63 0.90 * 0.80 0.07 11.04 0.00
19. ASSIGN 0.59 0.10 0.00 0.41 0.78 * 0.69 0.12 5.91 0.00
20. REVIEW INSTRUC 0.52 0.10 0.00 0.32 0.72 * 0.61 0.12 5.14 0.00
31.b. TODAY SYMP EDU 0.85 0.06 0.00 0.71 0.93 * 0.82 0.07 12.07 0.00
32.a. EVER TRAUMA ED 0.83 0.08 0.00 0.61 0.93 * 0.77 0.09 8.27 0.00
31.b. TODAY TRAUMA ED 0.93 0.04 0.00 0.83 0.98 * 0.91 0.04 20.95 0.00
12. OVERALL TECHNIQUES 0.94 0.04 0.00 0.84 0.98 * 0.92 0.04 21.04 0.00
F3
25. CONFIDENT 0.66 0.07 0.00 0.52 0.77 * 0.53 0.07 7.34 0.00
26. LIKES 0.85 0.04 0.00 0.76 0.93 * 0.62 0.05 12.74 0.00
27. TRUST 0.95 0.03 0.00 0.87 0.99 * 0.72 0.05 13.42 0.00
F4
15. STRUGGLE 0.56 0.19 0.01 0.12 0.83 * 0.45 0.21 2.10 0.04
28.b. TODAY SUIC 0.96 0.03 0.00 0.88 0.99 * 0.97 0.11 8.75 0.00
29.b. TODAY USE SUIC 0.96 0.02 0.00 0.89 0.98 * 0.99 0.10 9.48 0.00
F5
19. ASSIGN 0.75 0.07 0.00 0.60 0.89 * 0.69 0.10 6.97 0.00
20. REVIEW INSTRUC 0.80 0.08 0.00 0.63 0.94 * 0.75 0.12 6.18 0.00
21. ADDRESS 0.94 0.05 0.00 0.80 0.98 * 1.02 0.03 35.56 0.00
22. SOLUTION 0.84 0.11 0.00 0.53 0.95 * 0.93 0.05 19.38 0.00
23. REVIEW HMWK 0.94 0.03 0.00 0.85 0.98 * 0.89 0.06 16.01 0.00
F2
F1 0.68 0.08 0.00 0.51 0.81 * 0.72 0.08 9.53 0.00
F3
F1 0.09 0.12 0.23 -0.14 0.32   0.08 0.10 0.79 0.43
F2 -0.02 0.11 0.43 -0.24 0.20   -0.03 0.10 -0.27 0.79
F4
F1 0.27 0.15 0.05 -0.04 0.55   0.14 0.16 0.91 0.36
F2 0.23 0.14 0.05 -0.04 0.49   0.24 0.15 1.57 0.12
F3 -0.22 0.12 0.04 -0.44 0.03   -0.19 0.13 -1.50 0.13
F5
F1 0.11 0.15 0.24 -0.19 0.39   0.04 0.13 0.32 0.75
F2 0.02 0.14 0.46 -0.25 0.27   0.03 0.15 0.21 0.83
F3 -0.09 0.12 0.23 -0.32 0.15   -0.03 0.12 -0.24 0.81
F4 0.62 0.13 0.00 0.32 0.83 * 0.45 0.13 3.44 0.00
NOTE: In Bayesian models "significance" (*) indicates that the true factor loading will lie within the estimated credibility interval with the 95% posterior probability. A blank cell indicates the factor is not statistically significant.

 

TABLE L.3. Comparison Between Bayesian and WLSMV Adjusted Estimators: Client Confirmatory Factor-Analytic Models
Item and Item Number Bayesian Estimates WLSMV Estimates
Estimate Posterior S.D. One-Tailed p 95% C.I. Signif. Estimate S.E. Est/S.E. p-value
Lower 2.5% Upper 2.5%
F1
1. AGENDA 0.78 0.13 0.00 0.44 0.93 * 0.71 0.10 6.90 0.00
2. EXPECTATIONS 0.90 0.06 0.00 0.72 0.96 * 0.95 0.07 13.95 0.00
3. GOALS 0.81 0.14 0.00 0.42 0.95 * 0.82 0.10 8.14 0.00
11. TX FEEDBACK 0.78 0.10 0.00 0.51 0.92 * 0.88 0.09 9.92 0.00
22.b. TODAY INSTR 0.68 0.13 0.00 0.38 0.87 * 0.70 0.11 6.52 0.00
25.a. EVER OUTLINE 0.79 0.18 0.00 0.29 0.97 * 0.69 0.06 11.31 0.00
25.b. TODAY OUTLI 0.87 0.08 0.00 0.66 0.96 * 0.82 0.09 9.14 0.00
F2
4. IDENTIFY 0.64 0.17 0.00 0.24 0.88 * 0.64 0.17 3.70 0.00
7. OTHER IDENTIFY 0.45 0.17 0.02 0.03 0.72 * 0.41 0.16 2.60 0.01
9. DISCUSS 0.93 0.06 0.00 0.77 0.98 * 0.91 0.08 11.95 0.00
23.a. EVER SYMP EDU 0.68 0.14 0.00 0.34 0.87 * 0.74 0.12 6.23 0.00
23.b. TODAY SYMP EDU 0.93 0.05 0.00 0.79 0.98 * 0.89 0.06 15.91 0.00
24.a. EVER TRAUMA ED 0.83 0.09 0.00 0.59 0.94 * 0.85 0.08 11.34 0.00
24.b. TODAY TRAUMA ED 0.94 0.05 0.00 0.80 0.99 * 0.91 0.06 16.20 0.00
8. OVERALL TECHNIQUES 0.72 0.11 0.00 0.45 0.88 * 0.80 0.09 9.01 0.00
F3
19. CONFIDENT 0.90 0.05 0.00 0.78 0.97 * 0.87 0.09 9.92 0.00
20. LIKES 0.78 0.06 0.00 0.63 0.87 * 0.81 0.11 7.70 0.00
18. TRUST 0.77 0.06 0.00 0.63 0.87 * 0.77 0.13 6.02 0.00
F4
5. SOCRAT 0.58 0.19 0.01 0.15 0.87 * 0.64 0.16 4.08 0.00
6. FACILITATE 0.85 0.12 0.00 0.51 0.98 * 0.81 0.10 7.92 0.00
10. STRUGGLE 0.79 0.17 0.00 0.29 0.93 * 0.64 0.10 6.13 0.00
12. TH FEEDBACK 0.92 0.07 0.00 0.73 0.98 * 0.83 0.07 11.28 0.00
21.b. TODAY SUIC 0.63 0.15 0.00 0.29 0.87 * 0.51 0.10 5.37 0.00
F5
13. ASSIGN 0.97 0.03 0.00 0.89 0.99 * 0.83 0.07 11.80 0.00
14. REVIEW INSTRUC 0.97 0.02 0.00 0.91 0.99 * 0.91 0.06 14.97 0.00
15. SOLUTION 0.79 0.09 0.00 0.57 0.91 * 0.94 0.06 15.83 0.00
16. REVIEW HMWK 0.88 0.07 0.00 0.69 0.96 * 0.97 0.05 20.37 0.00
F2
F1 0.70 0.10 0.00 0.46 0.86 * 0.76 0.11 7.14 0.00
F3
F1 0.13 0.15 0.19 -0.16 0.41   0.22 0.11 1.96 0.05
F2 0.28 0.14 0.03 0.00 0.53   0.29 0.11 2.53 0.01
F4
F1 0.66 0.14 0.00 0.34 0.88 * 0.90 0.10 8.87 0.00
F2 0.74 0.10 0.00 0.51 0.91 * 0.86 0.06 14.08 0.00
F3 0.43 0.14 0.00 0.14 0.66 * 0.64 0.11 6.02 0.00
F5
F1 0.55 0.14 0.00 0.25 0.77 * 0.72 0.10 6.86 0.00
F2 0.28 0.14 0.03 -0.02 0.54   0.39 0.14 2.93 0.00
F3 0.27 0.14 0.03 -0.02 0.54   0.27 0.13 1.98 0.05
F4 0.43 0.16 0.01 0.09 0.73 * 0.55 0.12 4.64 0.00
NOTE: In Bayesian models "significance" (*) indicates that the true factor loading will lie within the estimated credibility interval with the 95% posterior probability. A blank cell indicates the factor is not statistically significant.
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