HypothesisTesting`
HypothesisTesting`

VarianceCI

VarianceCI[list]

gives a confidence interval for the population variance estimated from list.

Details and Options

  • To use VarianceCI, you first need to load the Hypothesis Testing Package using Needs["HypothesisTesting`"].
  • VarianceCI[list] gives a confidence interval {min,max} for the population variance estimated from list.
  • For confidence level α, min=var df/q(1+α)/2 and max=var df/q(1-α)/2 where var=Variance[list], df=Length[list]-1, and qi is the i^(th) quantile of a distribution with df degrees of freedom.
  • The following option can be given:
  • ConfidenceLevel 0.95probability associated with a confidence interval

Examples

open allclose all

Basic Examples  (1)

A 95% confidence interval for the population variance:

Options  (1)

ConfidenceLevel  (1)

A 99% confidence interval:

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

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2024_varianceci, author="Wolfram Research", title="{VarianceCI}", year="2007", howpublished="\url{https://reference.wolfram.com/language/HypothesisTesting/ref/VarianceCI.html}", note=[Accessed: 22-November-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_varianceci, organization={Wolfram Research}, title={VarianceCI}, year={2007}, url={https://reference.wolfram.com/language/HypothesisTesting/ref/VarianceCI.html}, note=[Accessed: 22-November-2024 ]}