# vartest

Hypothesis test for the variance of a sample.

## Syntax

[h,pvalue,ci] = vartest(x,v)

[h,pvalue,ci] = vartest(x,v,name,value)

## Inputs

`x`- Data sample to be tested.
`v`- Hypothesis variance.
`name`- Name of an option whose value follows. Multiple name/value pairs are allowed. The supported options are alpha and dim.
`value`- Value for the preceeding option name.

## Outputs

- h
`0`if the null hypothesis is accepted.`1`if the null hypothesis is rejected.- p_value
- The p-value of the test.
- ci
- A 100*(1-alpha)% confidence interval for the population variance.

## Example

Vector vartest example.

```
x = [7.3 9.4 5.9 6.5 5.5 7 5.3 7.3 2.6 8.7 8.1 2.5 3.9 1.4 0.2 4 6 6.1 10.3 1.2]
[h,pvalue,ci] = vartest(x,16)
```

`h = 0
pvalue = 0.069951
ci = [Matrix] 1 x 2
4.6075 16.995`

## Comments

vartest is a 1 sample Chi-squared test and assumes that the sample comes from a normally distributed population. The null hypothesis is that the hypothesized variance is the population variance.