NSM3 (version 1.1)

cRangeNor: Quantile function for the range of k independent N(0,1) random variables.

Description

Uses the integrate function based on the method proposed in Harter (1960).

Usage

cRangeNor(alpha,k)

Value

Returns the upper tail cutoff at or immediately below the user-specified alpha.

References

Harter, H. Leon. "Tables of range and studentized range." The Annals of Mathematical Statistics (1960): 1122-1147.

Examples

##Hollander-Wolfe-Chicken Example 7.3 Rounding First Base
cRangeNor(.01, 3)

##Hollander-Wolfe-Chicken Example 7.7 Chemical Toxicity
cRangeNor(.05, 7)