Last data update: 2014.03.03

R: Chi square tests for Hardy Weinberg equilibrium
HWChisqR Documentation

Chi square tests for Hardy Weinberg equilibrium

Description

HWChisq performs the chi-square test for Hardy-Weinberg equilibrium both for autosomal and X-chromosomal markers.

Usage

HWChisq(X, cc = 0.5, verbose = TRUE, x.linked = FALSE, phifixed = NULL) 

Arguments

X

X a vector containg the genotypic counts (AA,AB,BB for autosomal markers c(A,B,AA,AB,BB) for X-chromosomal markers).

cc

cc the continuity correction parameter (default cc = 0.5).

verbose

verbose = TRUE prints results, verbose = FALSE is silent.

x.linked

x.linked=FALSE indicates the marker is autosomal (default), and x.linked=TRUE indicates it resides on the X-chromosome.

phifixed

(For X-chromosomal markers only) phifixed=NULL indicates that the fraction of males (females) should be estimated from the data (default). If set to any other value (e.g. phifixed=0.5) then the sample is assumed to come from a population with the specified fraction of males.

Details

HWChisq does a chi-square test for Hardy-Weinberg equilibrium, and by default applies a continuity correction. For extreme allele frequencies, the continuity correction can lead to excessive type 1 error rates, and is better turned off in that case. The continuity correction can be turned off by specifying cc=0.

HWChisq can do the chi-square test for both autosomal and X-chrosomal markers. By setting x.linked = TRUE the marker will be assumed to be on the X-chromosome, and the count vector supplied should have 5 elements instead of 3 elements for an autosomal marker. For X-chromsomal markers argument phifixed is in general best left to its default value (NULL). Only in specific situations where the theoretical population sex ratio is known (e.g. in simulation studies where a universe with known gender ratio is sampled) phifixed could be set to the theoretical ratio of interest.

When alternative is set to less, a one-sided test for against a negative inbreeding coefficient (heterozygote excess) is performed. When alternative is set to greater a one-sided test for against a positive inbreeding coefficient (lack of heterozygotes) is performed.

Value

HWChisq returns a list with the components:

chisq

value of the chi-square statistic. NA is returned if the marker is monomorphic.

pval

p-value of the chi-square test for Hardy-Weinberg equilibrium.

D

Half the deviation from Hardy-Weinberg equilibrium for the AB genotype.

p

the allele frequency of A.

f

the inbreeding coefficient.

Author(s)

Jan Graffelman jan.graffelman@upc.edu

References

Weir, B.S. (1996) Genetic data analysis II. Sinauer Associates, Massachusetts. See Chapter3.

See Also

HWLratio, HWChisqStats

Examples

#
# Test for an autosomal blood group marker
#
x <- c(MM=298,MN=489,NN=213)
HW.test <- HWChisq(x,verbose=TRUE)
#
# Same test without continuity correction
#
HW.test <- HWChisq(x,cc=0,verbose=TRUE)
#
# Test for an X-chromsomal SNP.
#
rs5968922 <-  c(A=392, B=212, AA=275, AB=296, BB=80)
HW.test <- HWChisq(rs5968922,cc=0,x.linked=TRUE,verbose=TRUE)

Results


R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(HardyWeinberg)
Loading required package: mice
Loading required package: Rcpp
mice 2.25 2015-11-09
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/HardyWeinberg/HWChisq.Rd_%03d_medium.png", width=480, height=480)
> ### Name: HWChisq
> ### Title: Chi square tests for Hardy Weinberg equilibrium
> ### Aliases: HWChisq
> ### Keywords: htest
> 
> ### ** Examples
> 
> #
> # Test for an autosomal blood group marker
> #
> x <- c(MM=298,MN=489,NN=213)
> HW.test <- HWChisq(x,verbose=TRUE)
Chi-square test with continuity correction for Hardy-Weinberg equilibrium (autosomal)
Chi2 =  0.1789563 DF =  1 p-value =  0.6722717 D =  -3.69375 f =  0.01488253 
> #
> # Same test without continuity correction
> #
> HW.test <- HWChisq(x,cc=0,verbose=TRUE)
Chi-square test for Hardy-Weinberg equilibrium (autosomal)
Chi2 =  0.2214896 DF =  1 p-value =  0.6379073 D =  -3.69375 f =  0.01488253 
> #
> # Test for an X-chromsomal SNP.
> #
> rs5968922 <-  c(A=392, B=212, AA=275, AB=296, BB=80)
> HW.test <- HWChisq(rs5968922,cc=0,x.linked=TRUE,verbose=TRUE)
Chi-square test for Hardy-Weinberg equilibrium (X-chromosomal)
Chi2 =  0.00170001 DF = 2 p-value =  0.9991504 D =  NA f =  0.0009953963 
> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>