lprime: Lambda prime or noncentral Lambda distribution.

In CohensdpLibrary: Cohen's D_p Computation with Confidence Intervals

Lambda prime or noncentral Lambda distribution.

Description

plprime computes the cumulative probability of the lambda-prime distribution with parameters nu, ncp. dlprime(x, nu, ncp) returns the density of the lambda prime and distribution qlprime(p, nu, ncp) its quantiles. See \insertCitel99;textualCohensdpLibrary.

Usage

plprime(x, nu, ncp) 
dlprime(x, nu, ncp)
qlprime(p, nu, ncp)

Arguments

x	the score for which a probability is sought;
nu	the degree of freedom of the distribution;
ncp	the non-centrality parameter of the distribution;
p	the probability from which a quantile is requested;

Details

lprime are functions that compute the Lambda-prime distribution. It was shown to be the predictive distribution of a population standardized mean or standardized mean difference in between-group design given an observed Cohen's dp \insertCitel07CohensdpLibrary.

These functions are implemented from the FORTRAN source of \insertCitepl10b;textualCohensdpLibrary. Note that the library sadists also implements this distribution sadists::lprime \insertCitep20CohensdpLibrary.

Value

     The probability or quantile of a Lambda' distribution.

References

\insertAllCited

Examples

dlprime(11.1, 9, 10.0) # 0.129447
plprime(11.1, 9, 10.0) # 0.7134134
qlprime(0.01, 9, 10.0) # 4.2453

CohensdpLibrary documentation built on Sept. 11, 2024, 7:55 p.m.