cLepage: Computes a critical value for the Lepage D distribution.

Description Usage Arguments Value Author(s) Examples

View source: R/cLepage.R

Description

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

Usage

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cLepage(alpha, m, n, method=NA, n.mc=10000)

Arguments

alpha

A numeric value between 0 and 1.

m

A numeric value indicating the size of the first data group (X).

n

A numeric value indicating the size of the second data group (Y).

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 "NSM3Ch5c" class containing the following components:

m

number of observations in the first data group (X)

n

number of observations in the second data group (Y)

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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##Hollander-Wolfe-Chicken Example 5.3 Platelet Counts of Newborn Infants
cLepage(0.02,10,6,"Exact")
cLepage(0.02,10,6,"Monte Carlo")
cLepage(0.02,10,6,"Asymptotic")

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
Number of X values: 10 Number of Y values: 6
For the given alpha=0.02, the upper cutoff value is Lepage D=6.90252100840336,
with true alpha level=0.02

 Monte Carlo  Approximation (with  10000  Iterations) used: 
 
Number of X values: 10 Number of Y values: 6
For the given alpha=0.02, the upper cutoff value is Lepage D=6.90252100840336,
with true alpha level=0.0199

 Asymptotic  Approximation used: 
 
Number of X values: 10 Number of Y values: 6
For the given alpha =0.02, the approximate upper cutoff value is Lepage D=7.82404601085629,

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

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