HypothesisTesting`
HypothesisTesting`

# VarianceRatioCI

VarianceRatioCI[list1,list2]

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

# Details and Options

• 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:

Wolfram Research (2007), VarianceRatioCI, Wolfram Language function, https://reference.wolfram.com/language/HypothesisTesting/ref/VarianceRatioCI.html.

#### Text

Wolfram Research (2007), VarianceRatioCI, Wolfram Language function, https://reference.wolfram.com/language/HypothesisTesting/ref/VarianceRatioCI.html.

#### CMS

Wolfram Language. 2007. "VarianceRatioCI." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/HypothesisTesting/ref/VarianceRatioCI.html.

#### APA

Wolfram Language. (2007). VarianceRatioCI. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/HypothesisTesting/ref/VarianceRatioCI.html

#### BibTeX

@misc{reference.wolfram_2022_varianceratioci, author="Wolfram Research", title="{VarianceRatioCI}", year="2007", howpublished="\url{https://reference.wolfram.com/language/HypothesisTesting/ref/VarianceRatioCI.html}", note=[Accessed: 02-June-2023 ]}

#### BibLaTeX

@online{reference.wolfram_2022_varianceratioci, organization={Wolfram Research}, title={VarianceRatioCI}, year={2007}, url={https://reference.wolfram.com/language/HypothesisTesting/ref/VarianceRatioCI.html}, note=[Accessed: 02-June-2023 ]}