# OneSampleHT2: One Sample Hotelling T^2 Test In MVTests: Multivariate Hypothesis Tests

 OneSampleHT2 R Documentation

## One Sample Hotelling T^2 Test

### Description

`OneSampleHT2` computes one sample Hotelling T^2 statistics and gives confidence intervals

### Usage

``````OneSampleHT2(data, mu0, alpha = 0.05)
``````

### Arguments

 `data` a data frame. `mu0` mean vector that is used to test whether population mean parameter is equal to it. `alpha` Significance Level that will be used for confidence intervals. `default alpha=0.05`.

### Details

This function computes one sample Hotelling T^2 statistics that is used to test whether population mean vector is equal to a vector given by a user. When `H0` is rejected, this function computes confidence intervals for all variables.

### Value

a list with 7 elements:

 `HT2` The value of Hotelling T^2 Test Statistic `F` The value of F Statistic `df` The F statistic's degree of freedom `p.value` p value `CI` The lower and upper limits of confidence intervals obtained for all variables `alpha` The alpha value using in confidence intervals `Descriptive` Descriptive Statistics

### Author(s)

Hasan BULUT <hasan.bulut@omu.edu.tr>

### References

Rencher, A. C. (2003). Methods of multivariate analysis (Vol. 492). John Wiley & Sons.

Tatlidil, H. (1996). Uygulamali Cok Degiskenli Istatistiksel Yontemler. Cem Web.

### Examples

``````data(iris)

mean0<-c(6,3,1,0.25)
result <- OneSampleHT2(data=iris[1:50,-5],mu0=mean0,alpha=0.05)
summary(result)
``````

MVTests documentation built on Nov. 3, 2023, 5:11 p.m.