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Table 2 Power performance of the proposed tests at 0.05 nominal significance level using the parameters in Table three, Troendle et al. [[19]] and n = 100

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

Sample size p Disease model Model TDT z com
s n m Model (ψ1,ψ2) Dom Rec Mult Unr Add
     Dom (2.6, 2.6) 0.91066 0.06000 0.50500 0.84541 0.70714   0.31163
   25 0.5 Rec (1.0, 2.2) 0.04523 0.90067 0.70559 0.83608 0.57124   0.47878
   Mult (1.8, 3.24) 0.48646 0.68023 0.88068 0.80862 0.87348   0.65977
0 100    Unr (0.65, 1.54) 0.32262 0.93172 0.34347 0.92475 0.17819   0.22527
   Dom (2.6, 2.6) 0.84710 0.05676 0.44357 0.76226 0.63856 0.44186  
   0 0.5 Rec (1.0, 2.2) 0.04665 0.84330 0.63678 0.76013 0.50830 0.63486  
   Mult (1.8, 3.24) 0.44423 0.62624 0.82447 0.74065 0.81753 0.82465  
     Unr (0.65, 1.54) 0.24177 0.87274 0.30563 0.84850 0.15914 0.30947  
     Dom (2.6, 2.6) 0.96437 0.08869 0.56774 0.92870 0.79380   
   25 0.5 Rec (1.0, 2.2) 0.05605 0.95407 0.76586 0.91508 0.61764   
   Mult (1.8, 3.24) 0.49237 0.71043 0.92158 0.86355 0.91256   
50 100    Unr (0.65, 1.54) 0.55513 0.98255 0.38476 0.98123 0.17861   
   Dom (2.6, 2.6) 0.93871 0.07985 0.51548 0.88896 0.74713   
   0 0.5 Rec (1.0, 2.2) 0.05134 0.92769 0.71809 0.87193 0.55984   
   Mult (1.8, 3.24) 0.45734 0.66902 0.88925 0.82026 0.87906   
     Unr (0.65, 1.54) 0.47192 0.96392 0.34894 0.96087 0.16023   
     Dom (2.2, 2.2) 0.89874 0.05076 0.76992 0.83080 0.84520   0.53247
   25 0.2 Rec (1.0, 3.6) 0.03613 0.92147 0.48451 0.87037 0.30487   0.31694
   Mult (1.9, 3.61) 0.69925 0.34702 0.85778 0.77836 0.85218   0.62966
0 100    Unr (0.5, 2.0) 0.65567 0.84785 0.10276 0.94265 0.03027   0.08794
   Dom (2.2, 2.2) 0.84384 0.04086 0.70946 0.75109 0.78697 0.70494  
   0 0.2 Rec (1.0, 3.6) 0.03782 0.86147 0.43153 0.79210 0.26755 0.42869  
   Mult (1.9, 3.61) 0.64051 0.32123 0.80066 0.70908 0.79017 0.79740  
     Unr (0.5, 2.0) 0.54538 0.75786 0.10187 0.87870 0.02940 0.09909  
     Dom (2.2, 2.2) 0.94780 0.08895 0.82800 0.90217 0.90049   
   25 0.2 Rec (1.0, 3.6) 0.05440 0.97394 0.53918 0.95030 0.31670   
   Mult (1.9, 3.61) 0.72728 0.34717 0.90222 0.83592 0.89492   
50 100    Unr (0.5, 2.0) 0.83495 0.95478 0.10560 0.98840 0.02343   
   Dom (2.2, 2.2) 0.91980 0.07593 0.78331 0.85809 0.86423   
   0 0.2 Rec (1.0, 3.6) 0.04721 0.95163 0.49510 0.91409 0.28013   
   Mult (1.9, 3.61) 0.67942 0.32597 0.86532 0.78885 0.85618   
     Unr (0.5, 2.0) 0.77111 0.92279 0.10152 0.97278 0.02310   
     Dom (2.2, 2.2) 0.57438 0.02821 0.53632 0.43550 0.56002   0.33291
   25 0.05 Rec (1.0, 3.6) 0.04380 0.29455 0.06729 0.21332 0.04873   0.06352
   Mult (1.9, 3.61) 0.38400 0.10189 0.42547 0.34874 0.41536   0.26377
0 100    Unr (0.5, 2.0) 0.22082 0.27767 0.18594 0.32682 0.12097   0.14033
   Dom (2.2, 2.2) 0.50622 0.03413 0.47104 0.39360 0.49103 0.46796  
   0 0.05 Rec (1.0, 3.6) 0.04448 0.27724 0.06733 0.20273 0.04704 0.06674  
   Mult (1.9, 3.61) 0.33877 0.10807 0.36803 0.31909 0.36089 0.36674  
     Unr (0.5, 2.0) 0.17709 0.25044 0.15031 0.26490 0.06971 0.17677  
     Dom (2.2, 2.2) 0.63920 0.01453 0.58425 0.47921 0.62697   
   25 0.05 Rec (1.0, 3.6) 0.04465 0.28842 0.06893 0.23235 0.04345   
   Mult (1.9, 3.61) 0.42156 0.08232 0.46540 0.36949 0.46364   
50 100    Unr (0.5, 2.0) 0.30208 0.31549 0.20745 0.42153 0.15479   
   Dom (2.2, 2.2) 0.58412 0.01814 0.54315 0.42708 0.57007   
   0 0.05 Rec (1.0, 3.6) 0.04222 0.29220 0.06943 0.22264 0.04549   
   Mult (1.9, 3.61) 0.38029 0.08648 0.42651 0.33479 0.41893   
     Unr (0.5, 2.0) 0.27336 0.30692 0.18868 0.37802 0.12098   
  1. indicates entry that is slightly lower than the corresponding entry of Table three, Troendle et al. [19].