Tests a sample from a normally distributed population to determine if the hypothesized population variance value should be accepted or rejected.

Syntax

reject, p_value, conf = ChiSqTest(data, var, alpha)

Arguments

Name

Description

data

A vector containing sample data.

var

The hypothesized population variance.

alpha

(optional)

The level of significance for the test, also known as the probability of a Type I error. It must be in the interval (0, 0.5). The default value is 0.05.

Outputs

Name

Description

reject

A Boolean value that is true if the hypothesis is to be rejected.

p_value

The largest value of alpha for which the hypothesis is to be accepted.

conf

A 100(1-alpha)% confidence interval for the population variance.  A two-element vector containing the lower and upper bounds of the interval, respectively.

Example

Test the hypothesis that a population has a variance of 4, based on a sample of [2, 3, 5, 7, 4].

Syntax

reject, p_value, conf = ChiSqTest([2, 3, 5, 7, 4], 4)

Result

reject = false

p_value = 0.89625

conf = [1.3282    30.552]