cPage: Function to compute a critical value for the Page L...

Description Usage Arguments Value Author(s) Examples

View source: R/cPage.R

Description

This function computes the critical value for the Page L distriburion at (or typically in the "Exact" and "Monte Carlo" cases, close to) the given alpha level.

Usage

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cPage(alpha, k, n, method=NA, n.mc=10000)

Arguments

alpha

A numeric value between 0 and 1.

k

A numeric value indicating the number of treatments.

n

A numeric value indicating the number of blocks.

method

Either "Exact", "Monte Carlo" or "Asymptotic", indicating the desired distribution. When method=NA, "Exact" will be used if the number of permutations is 10,000 or less. Otherwise, "Monte Carlo" will be used.

n.mc

If method="Monte Carlo", the number of Monte Carlo samples used to estimate the distribution. Otherwise, not used.

Value

Returns a list with "NSM3Ch7c" class containing the following components:

k

number of treatments

n

number of blocks

cutoff.U

upper tail cutoff at or below user-specified alpha

true.alpha.U

true alpha level corresponding to cutoff.U (if method="Exact" or "Monte Carlo")

Author(s)

Grant Schneider

Examples

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2
3
##Hollander-Wolfe-Chicken Example 7.2 Breaking Strength of Cotton Fibers
#cPage(.0097, 5, 3,"Exact")
cPage(.0097, 5, 3,"Monte Carlo")

Example output

Loading required package: combinat

Attaching package:combinatThe following object is masked frompackage:utils:

    combn

Loading required package: MASS
Loading required package: partitions
Loading required package: survival

Monte Carlo Approximation (with 10000 Iterations) used: 
 
Number of blocks: n=3
Number of treatments: k=5
For the given alpha=0.0097, the upper cutoff value is Page L=156, with true alpha level=0.0068

NSM3 documentation built on April 6, 2021, 5:05 p.m.

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