HypothesisTesting`
HypothesisTesting`

# VarianceRatioCI

VarianceRatioCI[list1,list2]

gives a confidence interval for the ratio of the population variances estimated from list1 and from list2.

# Details

• To use VarianceRatioCI, you first need to load the Hypothesis Testing Package using Needs["HypothesisTesting`"].
• VarianceRatioCI[list1,list2] gives a confidence interval {min,max} for a ratio of the population variances estimated by Variance[list1] and Variance[list2].
• For confidence level α, min=ratio/q(1+α)/2 and max=ratio/q(1-α)/2 where ratio=Variance[list1]/Variance[list2] and qi is the i quantile of an F-ratio distribution with Length[list1]-1 numerator and Length[list2]-1 denominator degrees of freedom.
• The following option can be given:
•  ConfidenceLevel 0.95 probability associated with a confidence interval

# Examples

open allclose all

## Basic Examples(1)

The 95% confidence interval for the ratio of two population variances:

## Options(1)

### ConfidenceLevel(1)

The 99% confidence interval: