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hytest (version 0.1.1)

Hypothesis Testing Based on Neyman-Pearson Lemma and Likelihood Ratio Test

Description

Error type I and Optimal critical values to test statistical hypothesis based on Neyman-Pearson Lemma and Likelihood ratio test based on random samples from several distributions. The families of distributions are Bernoulli, Exponential, Geometric, Inverse Normal, Normal, Gamma, Gumbel, Lognormal, Poisson, and Weibull. This package is an ideal resource to help with the teaching of Statistics. The main references for this package are Casella G. and Berger R. (2003,ISBN:0-534-24312-6 , "Statistical Inference. Second Edition", Duxbury Press) and Hogg, R., McKean, J., and Craig, A. (2019,ISBN:013468699, "Introduction to Mathematical Statistic. Eighth edition", Pearson).

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Version

Install

install.packages('hytest')

Monthly Downloads

125

Version

0.1.1

License

GPL-3

Maintainer

Carlos Cardozo Delgado

Last Published

September 9th, 2024

Functions in hytest (0.1.1)

invnormal_c_opt

Critical Value Given a Nominal Error Type I Associated with a Inverse Normal Distribution
invnormal_errorI

Empirical Error Type I Associated with a Inverse Normal Distribution
geom_c_opt

Critical Value Given a Nominal Error Type I Associated with a Geometric Distribution
exp_c_opt

Critical Value Given a Nominal Error Type I Associated with a Exponential Distribution
gamma_c_opt

Critical Value Given a Nominal Error Type I Associated with a Gamma Distribution
ber_errorI

Empirical Error Type I Associated with a Bernoulli Distribution
gamma_errorI

Empirical Error Type I Associated with a Gamma Distribution
exp_errorI

Empirical Error Type I Associated with an Exponential Distribution
geom_errorI

Empirical Error Type I Associated with a Geometric Distribution
ber_c_opt

Critical Value Given a Nominal Error Type I Associated with a Bernoulli Distribution
gumbel_c_opt

Critical Value Given a Nominal Error Type I Associated with a Gumbel Distribution
gumbel_errorI

Empirical Error Type I Associated with a Gumbel Distribution
pois_errorI

Empirical Error Type I Associated with a Poisson Distribution
norm_errorI

Empirical Error Type I Associated with a Normal Distribution
weibull_errorI

Empirical Error Type I Associated with a Weibull Distribution
weibull_c_opt

Critical Value Given a Nominal Error Type I Associated with a Weibull Distribution
lognorm_errorI

Empirical Error Type I Associated with a Log Normal Distribution
lognorm_c_opt

Critical Value Given a Nominal Error Type I Associated with a Log Normal Distribution
norm_c_opt

Critical Value Given a Nominal Error Type I Associated with a Normal Distribution
pois_c_opt

Critical Value Given a Nominal Error Type I Associated with a Poisson Distribution