lsecond: Lambda second distribution or the non-central, non-standard,...

In CohensdpLibrary: Cohen's D_p Computation with Confidence Intervals

Lambda second distribution or the non-central, non-standard, Lambda distribution.

Description

This distribution was introduced in \insertCitec22b;textualCohensdpLibrary as the exact solution to the predictive distribution of the Cohen's dp in repeated-measure design. A more elegant notation was provided in \insertCitel22;textualCohensdpLibrary. It is the dual of the t" distribution, the sampling distribution of dp in repeated-measure design introduced in \insertCitec22a;textualCohensdpLibrary.

Usage

plsecond(delta, n, d, rho) 
dlsecond(delta, n, d, rho) 
qlsecond(p,     n, d, rho)

Arguments

delta	the parameter of the population whose probability is to assess;
n	the sample size n
d	the observed d_p of the sample;
rho	the population correlation
p	the probability from which a quantile is requested

Details

lsecond are (p,d,q) functions that compute the Lambda-second (L") distribution. This distribution is an generalization of the lambda-prime distribution \insertCitel99CohensdpLibrary.

Note that the parameters are the raw sample size n, the observed Cohen's dp, and the population rho. All the scaling required are performed within the functions (and so you do not provide degrees of freedom).This is henceforth not a generic lambda-second distribution, but a lambda-second custom-tailored for the problem of standardized mean difference.

Value

     The probability or quantile of a Lambda'' distribution.

References

\insertAllCited

Examples

dlsecond(0.25, 9, 0.26, 0.333) # 1.03753
plsecond(0.25, 9, 0.26, 0.333) # 0.494299
qlsecond(0.01, 9, 0.26, 0.333) # -0.6468003

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