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. 2004 May 19;75(1):17–26. doi: 10.1086/421845

Table 1.

Mean and Variance of the Test Statistic (TS) for Each of the Four Analysis Methods, for Samples Consisting of 1,000 Phenotypes from Nuclear Families[Note]

Mean TS
Theoretical Mean TSc
Variance (TS)
Sibship Size,h2QTLa, and h2PGb HE VH SR VC SR VC HE VH SR VC
2:
 .0:
  .25 .50 .50 .50 .49 .50 .50 1.25 1.20 1.19 1.13
  .50 .52 .53 .52 .53 .50 .50 1.38 1.42 1.37 1.43
  .75 .52 .52 .52 .52 .50 .50 1.27 1.30 1.28 1.31
 .2:
  .05 2.51 3.52 3.51 3.29 3.62 3.63 7.96 11.79 11.49 9.30
  .30 3.09 3.90 3.89 3.98 4.02 4.04 10.38 13.86 13.38 14.45
  .55 4.18 4.85 4.82 4.98 4.86 4.90 14.31 17.17 16.61 18.19
 .5:
  .00 14.14 18.87 18.28 20.22 19.89 20.83 48.06 65.59 58.64 67.68
  .25 19.37 23.30 22.33 26.77 25.13 27.00 63.92 80.93 69.66 100.72
4:
 .0:
  .25 .51 .51 .51 .49 .50 .50 1.29 1.36 1.36 1.23
  .50 .51 .51 .51 .50 .50 .50 1.39 1.35 1.40 1.28
  .75 .50 .50 .50 .48 .50 .50 1.27 1.25 1.24 1.14
 .2:
  .05 5.93 8.95 9.20 8.50 9.18 8.74 24.14 40.48 41.17 31.18
  .30 7.70 10.16 11.10 10.50 11.07 10.49 32.04 46.97 51.90 43.38
  .55 10.51 12.54 14.40 13.63 14.62 13.77 44.68 56.14 66.35 55.69
 .5:
  .00 40.44 55.29 58.52 57.90 63.93 58.76 174.70 274.89 272.00 235.11
  .25 56.67 69.06 76.54 79.78 86.12 80.00 240.21 329.19 338.17 334.87
8:
 .0:
  .25 .52 .54 .54 .50 .50 .50 1.39 1.45 1.44 1.20
  .50 .48 .50 .50 .47 .50 .50 1.25 1.46 1.39 1.13
  .75 .49 .50 .52 .48 .50 .50 1.25 1.33 1.48 1.21
 .2:
  .05 12.76 19.93 21.38 17.77 21.01 17.93 64.78 125.32 131.78 75.00
  .30 16.71 22.57 27.13 22.56 26.97 22.61 87.76 141.59 182.60 106.90
  .55 23.41 28.25 37.01 30.39 37.49 30.66 131.50 181.16 261.05 145.45
 .5:
  .00 94.16 129.38 149.27 118.58 163.30 119.09 637.61 1165.91 1245.42 615.44
  .25 131.64 160.88 200.71 164.20 229.06 164.59 923.16 1395.88 1660.64 903.14

Note.— The empirical mean and variance of the TS are based on 10,000 replicates.

a

Proportion of the phenotypic variance due to QTL effects.

b

Proportion of the phenotypic variance due to residual polygenic effects.

c

The theoretical expected value of the test statistic was calculated as described by Sham et al. (2000a).