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Table 3 Correlation coefficients (left lower triangle) and different number ratios (right upper triangle) between scales’ estimated measures

From: Simulation study of activities of daily living functions using online computerized adaptive testing

Estimation methods A B C D E F
MAP
 A. CADL 0.61 0.40 %     
 B. CADL_CAT 0.77      
 C. Male ADL 0.67 0.68 0.90 0.00 %   
 D. Male ADL_CAT 0.64 0.64 0.93    
 E. Female ADL 0.67 0.68 1.00 0.93 0.90 0.00 %
 F. Female ADL_CAT 0.64 0.64 0.93 1.00 0.93  
EAP
 A. CADL 0.67 0.10 %     
 B. CADL_CAT 0.76      
 C. Male ADL 0.78 0.91 0.80 0.00 %   
 D. Male ADL_CAT 0.75 0.87 0.95    
 E. Female ADL 0.78 0.97 0.94 0.90 0.74 0.00 %
 F. Female ADL_CAT 0.76 1.00 0.91 0.87 0.97  
MLE
 A. CADL 0.49 0.00 %     
 B. CADL_CAT 0.76 0.00     
 C. Male ADL 0.77 0.91 0.50 0.00 %   
 D. Male ADL_CAT 0.75 0.87 0.95    
 E. Female ADL 0.77 0.97 0.94 0.90 0.48 1.20 %
 F. Female ADL_CAT 0.76 1.00 0.91 0.87 0.97  
  1. ADL-CAT activities of daily living-Computerized Adaptive Testing, CADL comprehensive activities of daily living-Computerized Adaptive Testing, MLE maximum likelihood estimation, EAP expected a posteriori estimation, MAP maximum a posteriori estimation
  2. Scale reliability coefficients shown on the diagonal line from left to right in the upper MAP table; dimension coefficients displayed in the middle EAP table; model’s residual dimension coefficients displayed in the bottom MLE table
  3. Bold-italic values are correlation coefficients (CC) between NAT and CAT. Bold ones show the binary NAT CADL has significant lower CCs (<0.80) than those CCs (>0.90) between polytomous scales