# ec.mto: Exact conditional test for many-to-one comparisons of... In binMto: Asymptotic simultaneous confidence intervals for many-to-one comparisons of proportions

## Description

This function calculates the exact distribution of the maximum of test statistics with unpooled variance estimators for the difference of many-to-one comparisons of proportion. Using this, p-values for the max-test are computed.

## Usage

 `1` ```ec.mto(n, x, alternative = "less") ```

## Arguments

 `n` vector of integers specifying the number of trials in each group, where the first value is taken as control `x` vector of integers specifying the number of successes in each group, where the first value is taken as control `alternative` a character string, one of "two.sided", "greater", "less"

## Value

a single numeric value, the p.value of the maximum test

## Author(s)

Frank Schaarschmidt

## References

Koch, H.F. and Hothorn, L.A. (1999): Exact unconditional distributions for dichotomous data in many-to-one comparisons. Journal of Statistical Planning and Inference 82, 83-99 (section 2.1)

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12``` ```# Example from Koch and Hothorn (1999), Table 5: # Chronic toxicity study in mice over six months. ec.mto(n=c(40,20,20,20), x=c(4,1,6,8), alternative= "two.sided") ec.mto(n=c(40,20,20,20), x=c(4,1,6,8), alternative= "less") ec.mto(n=c(40,20,20,20), x=c(4,1,6,8), alternative= "greater") ```

binMto documentation built on May 30, 2017, 5:37 a.m.