invnormal_errorI {hytest} | R Documentation |
Empirical Error Type I Associated with a Inverse Normal Distribution
Description
invnormal_errorI
is used to obtain an empirical error type I when we use a random sample from a Inverse Normal distribution.
Usage
invnormal_errorI(c = 1, n = 150, theta0 = 1, sigma = 1, R = 15000)
Arguments
c |
numeric, represents a positive value that defines a critical region. Default value is 1. |
n |
numeric, represents the size of the sample. Default value is 100. |
theta0 |
numeric, represents the location parameter under the null hypothesis of a sample from a Inverse Normal distribution. Default value is 1. |
sigma |
numeric, represents the scale parameter of a Inverse Normal distribution. It is assumed known and its default value is 1. |
R |
numeric, represents the number of replicates. Default value is 15000. |
Value
A list with number of replicates, sample size, and critical value that were used in the calculation of error type I associated with a likelihood ratio statistic.
Author(s)
Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.
References
Casella, G. and Berger, R. (2003). Statistical Inference, Second Edition. Duxbury Press.
Hogg, R., McKean, J., and Craig, A. (2019) Introduction to Mathematical Statistic. Eighth edition. Pearson.
Examples
# Error type I when we use a random sample of size 50 from a Inverse Normal distribution,
# a critical value c = 0.5 and R = 100 to test H_0: theta = 3 vs H_1: theta != 3
library(gamlss.dist)
invnormal_errorI(0.5,n=50,theta0=3,R=100)