pois_errorI {hytest}

Empirical Error Type I Associated with a Poisson Distribution

Description

pois_errorI is used to obtain an empirical error type I when we use a random sample from a Poisson distribution.

Usage

pois_errorI(c = 1, n = 100, theta0 = 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 Poisson distribution. 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 <[e-mail]>.

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 200 from an Poisson distribution,
# a critical value c = 0.85 and R = 20000 to test H_0: theta = 2 vs H_1: theta != 2
pois_errorI(0.85,n=100,theta0=2,R=20000)