# chisq.theo.bintest: Pearson's Chi-squared test for comparison of response... In RVAideMemoire: Testing and Plotting Procedures for Biostatistics

## Description

Performs a Pearson's Chi-squared test for comparing response probabilities (i.e. when the response variable is a binary variable) to given values. The function is in fact a wrapper to the chi-squared test for comparison of proportions to given values on a contingency table.

## Usage

 `1` ```chisq.theo.bintest(formula, data, p) ```

## Arguments

 `formula` a formula of the form `a ~ b`, where `a` and `b` give the data values and corresponding groups, respectively. `a` can be a numeric vector or a factor, with only two possible values (except NA). `data` an optional data frame containing the variables in the formula `formula`. By default the variables are taken from `environment(formula)`. `p` theoretical probabilities.

## Details

If the response is a 0/1 variable, the probability of the '1' group is tested. In any other cases, the response is transformed into a factor and the probability of the second level is tested.

## Value

 `method.test` a character string giving the name of the test. `data.name` a character string giving the name(s) of the data. `alternative` a character string describing the alternative hypothesis, always two-sided. `estimate` the estimated probabilities. `null.value` the theoretical probabilities. `statistic` test statistics. `parameter` test degrees of freedom. `p.value` p-value of the test.

## Author(s)

Maxime Herv<e9> <[email protected]>

`prop.test`, `chisq.bin.exp`, `prop.bin.multcomp`
 ```1 2 3 4``` ```response <- c(rep(0:1,c(40,60)),rep(0:1,c(55,45)),rep(0:1,c(65,35))) fact <- gl(3,100,labels=LETTERS[1:3]) p.theo <- c(0.5,0.45,0.2) chisq.theo.bintest(response~fact,p=p.theo) ```