Exact conditional test for many-to-one comparisons of proportions

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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

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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

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# 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")