lprime.Rdplprime 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 Lecoutre (1999) .
plprime(x, nu, ncp) dlprime(x, nu, ncp) qlprime(p, nu, ncp)
| 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; |
The probability or quantile of a Lambda' distribution.
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 (Lecoutre 2007) .
These functions are implemented from the FORTRAN source of Poitevineau and Lecoutre (2010) . Note that the library sadists also implements this distribution sadists::lprime (Pav 2020) .
Lecoutre B (1999).
“Two useful distributions for Bayesian predictive procedures under normal models.”
Journal of Statistical Planning and Inference, 79, 93 -- 105.
doi: 10.1016/S0378-3758(98)00231-6
.
Lecoutre B (2007).
“Another look at confidence intervals from the noncentral T distribution.”
Journal of Modern Applied Statistical Methods, 6, 107 -- 116.
doi: 10.22237/jmasm/1177992600
.
Pav SE (2020).
“sadists: Some Additional Distributions [R package].”
https://github.com/shabbychef/sadists.
Poitevineau J, Lecoutre B (2010).
“Statistical distributions for bayesian experimental data analysis fortran functions 1. continuous distributions.”
https://eris62.eu.
dlprime(11.1, 9, 10.0) # 0.129447 #> [1] 0.129447 plprime(11.1, 9, 10.0) # 0.7134134 #> [1] 0.7134134 qlprime(0.01, 9, 10.0) # 4.2453 #> [1] 4.2453