hypothesis: hypothesis test a claim

In hypothesestest: Confidence Intervals and Tests of Statistical Hypotheses

Description

a hypothesis test to test a claim about mu=H0 of a population.

Usage

hypothesis(TrnX = NULL, TrnY = NULL, m, u0, n1, n2, s1 = NULL, s2 = NULL, sigma1 = NULL, sigma2 = NULL, alpha = 0.05, method = "n", H0 = "u=u0", p)

Arguments

TrnX	the observed values of a random sample from a distribution which must be input as vectors
TrnY	the observed values of a random sample from another distribution which must be input as vectors
m	the mean of the bias of TrnX and TrnY
u0	the claim that H0: u=u0
n1	the amount of the sample TrnX
n2	the amount of the sample TrnY
s1	the standard deviation of the sample TrnX
s2	the standard deviation of the sample TrnY
sigma1	the standard deviation of the population TrnX
sigma2	the standard deviation of the population TrnY
alpha	the confident level of the hypothesis test
method	the distribution of the samples follow
H0	the claim about the population
p	p value which correspond to the z score

Details

you can either input the original data of TrnX and TrnY,or just input s1,s2,n1,n2

Value

refuse H0	at the confident level of alpha,we choose to refuse H0
we can not reject H0.	at the confident level of alpha,we choose not to refuse H0

Note

must input the distribution that the samples follow:normal distribution, standard normal distribution, chi-square and t-distribution.When there are two samples,please input m which is the average of TrnX-TrnY

Author(s)

Chengfeng Liu, Huiqing Liu, Yingyan Liang and Ruibin Feng Maintainer: Chengfeng Liu ([e-mail])

See Also

conint

Examples

## to test the claim
 hypothesis(TrnX=c(3,4,5),TrnY=c(4,5,6),m,u0=4,3,3,s1=NULL,s2=NULL,sigma1=NULL,sigma2=NULL,alpha=0.05,method="n",H0="u=u0",p)
# "we can not reject H0."
# "t is"
# 4.302673
# "Q is"
# 0
# "p-value is"
# 1

Example output

[1] "we can not reject H0."
[1] "t is"
[1] 4.302673
[1] "Q is"
[1] 0
[1] "p-value is"
[1] 1

hypothesestest documentation built on May 2, 2019, 8:33 a.m.