Description Usage Arguments Value Author(s) References Examples
Calculate the power for testing delta=0.
1 2 3 4 5 6 7 8 9 10 11 12 | powerCal(
nSubj,
mu1,
triangle,
rho,
rho11,
rho22,
rho12,
p11,
p10,
p01,
alpha = 0.05)
|
nSubj |
integer. number of subjects to be generated. Assume each subject has two observations. |
mu1 |
mu_1=H(Y)-H(Y_c) is the difference between probit transformation H(Y) and probit-shift alternative H(Y_c), where Y is the prediction score of a randomly selected progressing subunit, and Y_c is the counterfactual random variable obtained if each subunit that had progressed actually had not progressed. |
triangle |
the difference of the expected value the the extended Mann-Whitney U statistics between two prediction rules, i.e., triangle = eta^{(1)}_c - eta^{(2)}_c |
rho |
rho=corr(H(Z_{ij}), H(Z_{k ell})) , where H=Phi^{-1} is the probit transformation. |
rho11 |
rho_{11}=corr(H_{ij}^{(1)}, H_{i ell}^{(1)}) , where H=Phi^{-1} is the probit transformation. |
rho22 |
rho_{22}=corr(H_{ij}^{(2)}, H_{i ell}^{(2)}) , where H=Phi^{-1} is the probit transformation. |
rho12 |
rho_{12}=corr(H_{ij}^{(1)}, H_{i ell}^{(2)}) , where H=Phi^{-1} is the probit transformation. |
p11 |
p_{11}=Pr(delta_{i1}=1 & delta_{i2}=1) , where delta_{ij}=1 if the j-th subunit of the i-th cluster has progressed. |
p10 |
p_{11}=Pr(delta_{i1}=1 & delta_{i2}=0) , where delta_{ij}=1 if the j-th subunit of the i-th cluster has progressed. |
p01 |
p_{11}=Pr(delta_{i1}=0 & delta_{i2}=1) , where delta_{ij}=1 if the j-th subunit of the i-th cluster has progressed. |
alpha |
type I error rate |
the power
Bernard Rosner <stbar@channing.harvard.edu>, Weiliang Qiu <Weiliang.Qiu@gmail.com>, Meiling Ting Lee <MLTLEE@umd.edu>
Rosner B, Qiu W, and Lee MLT. Assessing Discrimination of Risk Prediction Rules in a Clustered Data Setting. Lifetime Data Anal. 2013 Apr; 19(2): 242-256.
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