Skip to main content

Table 1 Type I error rate of \( {\tilde{Z}}_C \) and \( {TDT}_{\mathrm{BRV}} \)

From: Rare variant association analysis in case-parents studies by allowing for missing parental genotypes

 

\( {\tilde{Z}}_C \)

\( {TDT}_{\mathrm{BRV}} \)

α = 0.05

α = 0.001

α = 0.05

α = 0.001

Sample size (N)

Sample size (N)

Sample size (N)

Sample size (N)

Homogeneous population

N0 + \( \frac{1}{10} \) N0

N0 + \( \frac{1}{5} \) N0

N0 + \( \frac{1}{2} \) N0

N0 + \( \frac{1}{10} \) N0

N0 + \( \frac{1}{5} \) N0

N0 + \( \frac{1}{2} \) N0

N0 + \( \frac{1}{10} \) N0

N0 + \( \frac{1}{5} \) N0

N0 + \( \frac{1}{2} \)N0

N0 + \( \frac{1}{10} \) N0

N0 + \( \frac{1}{5} \) N0

N0 + \( \frac{1}{2} \) N0

 Ω0 + Ι

0.057

0.045

0.052

0.0012

0.0014

0.0009

0.053

0.046

0.051

0.0011

0.0012

0.0010

 Ω0 + ΙΙ

0.055

0.055

0.050

0.0011

0.0008

0.0014

0.054

0.055

0.052

0.0012

0.0009

0.0014

 Ω0 + Ι + ΙΙ

0.048

0.049

0.046

0.0009

0.0013

0.0012

0.048

0.049

0.049

0.0009

0.0013

0.0013

Population stratification

 Ω0 + Ι

0.055

0.051

0.050

0.0013

0.0012

0.0010

0.055

0.047

0.054

0.0013

0.0012

0.0012

 Ω0 + ΙΙ

0.053

0.056

0.053

0.0014

0.0009

0.0014

0.056

0.054

0.051

0.0012

0.0009

0.0011

 Ω0 + Ι + ΙΙ

0.049

0.049

0.051

0.0009

0.0013

0.0014

0.048

0.050

0.047

0.0009

0.0010

0.0014

  1. Note: The sample size N = N0 + NI, N = N0 + NII, N = N0 + NI + NII for Ω0 + Ι, Ω0 + ΙΙ, and Ω0+Ι+ΙΙ, respectively, with N0 (=500) complete case-parents trios (Ω0). There are NI case-parents trios of ΩI forΩ0 + Ιand NII case-parents trios of ΩII for Ω0 + ΙΙ with NI, NII=\( \frac{1}{10} \)N0, \( \frac{1}{5} \)N0, and \( \frac{1}{2} \)N0, respectively. For Ω0+Ι+ΙΙ, NI = NII, and NI + NII = \( \frac{1}{10} \)N0, \( \frac{1}{5} \)N0, and \( \frac{1}{2} \)N0, respectively