gofhwex_1s {EQUIVNONINF} R Documentation

## Critical constants of the exact UMPU test for absence of a substantial deficit of heterozygotes as compared with a HWE-compliant SNP genotype distribution [noninferiority version of the test implemented by means of gofhwex]

### Description

The function computes the critical constants defining the UMPU test for one-sided equivalence of the population distribution of a SNP, to a distribution being in Hardy-Weinberg equilibrium (HWE).
A substantial deficit of heterozygotes is defined to occur when the true value of the parametric function ω = \frac{π_2/2}{√{π_1π_3}} [called relative excess heterozygosity (REH)] falls below unity by more than some given margin δ_0.
Like its two-sided counterpart [see the description of the R function gofhwex], the test is conditional on the total count S of alleles of the kind of interest.

### Usage

gofhwex_1s(alpha,n,s,del0)


### Arguments

 alpha significance level n number of genotyped individuals s observed count of alleles of the kind of interest del0 noninferiority margin for ω, which has to satisfy ω > 1-δ_0 under the alternative hypothesis to be established

### Value

 alpha significance level n number of genotyped individuals s observed count of alleles of the kind of interest del0 noninferiority margin for ω, which has to satisfy ω > 1-δ_0 under the alternative hypothesis to be established C left-hand limit of the critical interval for the observed number X_2 of heterozygotes GAM probability of rejecting the null hypothesis when it turns out that X_2=C

### Author(s)

Stefan Wellek <stefan.wellek@zi-mannheim.de>
Peter Ziegler <peter.ziegler@zi-mannheim.de>

### References

Wellek S: Testing statistical hypotheses of equivalence and noninferiority. Second edition. Boca Raton: Chapman & Hall/CRC Press, 2010, pp. 300-302.

### Examples

gofhwex_1s(0.05,133,65,1-1/1.96)


[Package EQUIVNONINF version 1.0.2 Index]