gof.Pearson: Test Goodness of Fit by Pearson's Test

In TrialSize: R Functions for Chapter 3,4,6,7,9,10,11,12,14,15 of Sample Size Calculation in Clinical Research

Test Goodness of Fit by Pearson's Test

Description

Test the goodness of fit and the primary study endpoint is non-binary categorical response. pk=nk/n, nk is the frequency count of the subjects with response value k. pk,0 is a reference value.

H0: pk=pk,0 for all k

Ha: not equal

Usage

gof.Pearson(alpha, beta, pk, pk0, r)

Arguments

alpha	significance level
beta	power = 1-beta
pk	pk is the proportion of each subject in treatment group.
pk0	pk0 is a reference value.
r	degree of freedom=r-1

Details

(*) is \chi^{2}_{r-1}(\chi^{2}_{\alpha, r-1}|noncen)=\beta

References

Chow SC, Shao J, Wang H. Sample Size Calculation in Clinical Research. New York: Marcel Dekker, 2003

TrialSize documentation built on April 12, 2025, 2:01 a.m.