# Exact conditional test 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 |

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