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Table 3 Power performance of the proposed tests at 0.05 nominal significance level using the parameter in Table three, Troendle et al. [19] and n = 500

From: Association analysis of complex diseases using triads, parent-child dyads and singleton monads

Sample size p Disease model Model   TDT z c o m
s n m   Model (ψ1,ψ2) Dom Rec Mult Unr Add   
     Dom (1.5, 1.5) 0.91984 0.05494 0.59684 0.86250 0.67998   0.38389
   125 0.5 Rec (1.0, 1.45) 0.04830 0.91488 0.68434 0.85930 0.61349   0.46383
   Mult (1.3, 1.69) 0.54475 0.63588 0.88638 0.81607 0.88395   0.67525
0 500    Unr (0.82, 1.22) 0.40678 0.94369 0.28652 0.95067 0.19831   0.19157
   Dom (1.5, 1.5) 0.86469 0.05501 0.53494 0.78362 0.61161 0.53133  
   0 0.5 Rec (1.0, 1.45) 0.04868 0.86048 0.62189 0.78284 0.54995 0.61559  
   Mult (1.3, 1.69) 0.50217 0.58591 0.83504 0.74791 0.82951 0.83316  
     Unr (0.82, 1.22) 0.30751 0.88989 0.25717 0.89710 0.18219 0.25521  
     Dom (1.5, 1.5) 0.93417 0.05975 0.61089 0.88359 0.69680   
   125 0.5 Rec (1.0, 1.45) 0.04970 0.93022 0.70132 0.87754 0.62959   
   Mult (1.3, 1.69) 0.55266 0.64473 0.89571 0.83059 0.89378   
50 500    Unr (0.82, 1.22) 0.46190 0.95843 0.29617 0.96292 0.20571   
   Dom (1.5, 1.5) 0.88543 0.05450 0.55038 0.81938 0.63176   
   0 0.5 Rec (1.0, 1.45) 0.04813 0.88221 0.63748 0.81229 0.56987   
   Mult (1.3, 1.69) 0.50941 0.59514 0.85057 0.77031 0.84857   
     Unr (0.82, 1.22) 0.35793 0.91611 0.26407 0.92113 0.18285   
     Dom (1.45, 1.45) 0.91663 0.05581 0.82275 0.85564 0.85475   0.59268
   125 0.2 Rec (1.0, 2.0) 0.04455 0.94790 0.44326 0.90851 0.34805   0.28523
   Mult (1.35, 1.82) 0.74330 0.29700 0.86030 0.77766 0.85735   0.63475
0 500    Unr (0.73, 1.37) 0.75736 0.83819 0.16262 0.95415 0.09838   0.11611
   Dom (1.45, 1.45) 0.86430 0.05206 0.76184 0.78832 0.79620 0.76041  
   0 0.2 Rec (1.0, 2.0) 0.04254 0.90108 0.39325 0.84045 0.30808 0.38860  
   Mult (1.35, 1.82) 0.67838 0.27300 0.79869 0.70763 0.79626 0.79935  
     Unr (0.73, 1.37) 0.65414 0.73828 0.14995 0.90150 0.09179 0.14809  
     Dom (1.45, 1.45) 0.92776 0.05929 0.83556 0.87192 0.86570   
   125 0.2 Rec (1.0, 2.0) 0.04580 0.95984 0.45325 0.92594 0.35732   
   Mult (1.35, 1.82) 0.75081 0.29775 0.86878 0.79374 0.86823   
50 500    Unr (0.73, 1.37) 0.79247 0.87274 0.17039 0.96622 0.09941   
   Dom (1.45, 1.45) 0.88237 0.05344 0.78154 0.81038 0.81656   
   0 0.2 Rec (1.0, 2.0) 0.04352 0.92016 0.40450 0.87014 0.31454   
   Mult (1.35, 1.82) 0.69361 0.27258 0.81773 0.72982 0.81359   
     Unr (0.73, 1.37) 0.69897 0.78788 0.15242 0.92672 0.09045   
     Dom (1.45, 1.45) 0.54540 0.01899 0.51668 0.41742 0.53330   0.32711
   125 0.05 Rec (1.0, 2.0) 0.04787 0.19369 0.06095 0.15167 0.04953   0.05595
   Mult (1.35, 1.82) 0.37363 0.06127 0.39755 0.30298 0.39613   0.25117
0 500    Unr (0.73, 1.37) 0.32954 0.14447 0.25594 0.32487 0.23685   0.16860
   Dom (1.45, 1.45) 0.47895 0.02234 0.45528 0.35409 0.46737 0.45051  
   0 0.05 Rec (1.0, 2.0) 0.04759 0.17392 0.06026 0.13605 0.04958 0.05914  
   Mult (1.35, 1.82) 0.32514 0.06317 0.34478 0.26105 0.34585 0.34717  
     Unr (0.73, 1.37) 0.28430 0.12649 0.22702 0.27964 0.20895 0.22606  
     Dom (1.45, 1.45) 0.55918 0.01811 0.53173 0.43260 0.54426   
   125 0.05 Rec (1.0, 2.0) 0.04848 0.20376 0.06147 0.15963 0.04985   
   Mult (1.35, 1.82) 0.38246 0.06150 0.41190 0.31308 0.40672   
50 500    Unr (0.73, 1.37) 0.34311 0.14948 0.27061 0.34266 0.22740   
   Dom (1.45, 1.45) 0.49431 0.02036 0.46935 0.36889 0.48220   
   0 0.05 Rec (1.0, 2.0) 0.04777 0.17937 0.06071 0.14178 0.05204   
   Mult (1.35, 1.82) 0.33955 0.06127 0.36054 0.26850 0.35641   
     Unr (0.73, 1.37) 0.29572 0.13457 0.23367 0.29240 0.20284   
  1. indicates entry that is slightly lower than the corresponding entry of Table three, Troendle et al. [19].