Fbar.exact: F-bar for exact constraints

In ANOVAreplication: Test ANOVA Replications by Means of the Prior Predictive p-Value

Description

The function calculates F-bar for hypotheses constrained with exact values (Type B). See Silvapulle & Sen (2011) for background on the F-bar statistic. The code of Vanbrabant (2017) is the basis to this Fbar function.

Usage

Fbar.exact(data,exact)

Arguments

data	A dataframe with two variables: (1) a dependent variable, and (2) a grouping variable.
exact	A vector of length p, where p is the number of means in the ANOVA model, with the exact values of the constrained hypothesis.

Value

The value for the F-bar statistic

Author(s)

M. A. J. Zondervan-Zwijnenburg

References

Silvapulle, M. J., & Sen, P. K. (2011). Constrained statistical inference: Order, inequality, and shape constraints (Vol. 912). John Wiley & Sons. doi: 10.1002/9781118165614.ch1

Vanbrabant, L. (2017). restriktor: Restricted Statistical Estimation and Inference for Linear Models. R package version 0.1-55. https://CRAN.R-project.org/package=restriktor

See Also

See also runShiny, Fbar.ineq, and Fbar.dif.

Examples

data <- data.frame(y=ChickWeight$weight,g=ChickWeight$Diet)
aggregate(data$y,by=list(data$g),mean)

#specify exact values to be evaluated. Hi: mu1=102,mu2=123,mu3=143,mu4=135.
exact <- c(102,123,143,135)

Fbar.exact(data,exact)

ANOVAreplication documentation built on Sept. 27, 2021, 9:06 a.m.