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EqualVariances

EqualVariances

is an option to statistical confidence interval and hypothesis test functions of two samples that specifies that unknown population variances are equal.

Details and Options

  • To use EqualVariances, you first need to load the Hypothesis Testing Package using Needs["HypothesisTesting`"].
  • EqualVariances is an option for confidence interval and hypothesis test functions of two lists.
  • With the default setting EqualVariances->False, variances are estimated from the two samples independently if the variances are not specified as known.
  • With EqualVariances->True, a common pooled estimate of the variance is used for both populations if the variances are not specified as known.

Examples

Basic Examples  (1)Summary of the most common use cases

In[1]:=1
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https://wolfram.com/xid/0bge5u466mz5-hfbyw5

A test assuming equal variances:

In[2]:=2
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https://wolfram.com/xid/0bge5u466mz5-kry59g
Out[2]=2
Wolfram Research (2007), EqualVariances, Wolfram Language function, https://reference.wolfram.com/language/HypothesisTesting/ref/EqualVariances.html.
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Wolfram Research (2007), EqualVariances, Wolfram Language function, https://reference.wolfram.com/language/HypothesisTesting/ref/EqualVariances.html.

Text

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

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

CMS

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

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

APA

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

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

BibTeX

@misc{reference.wolfram_2025_equalvariances, author="Wolfram Research", title="{EqualVariances}", year="2007", howpublished="\url{https://reference.wolfram.com/language/HypothesisTesting/ref/EqualVariances.html}", note=[Accessed: 11-July-2025 ]}

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@misc{reference.wolfram_2025_equalvariances, author="Wolfram Research", title="{EqualVariances}", year="2007", howpublished="\url{https://reference.wolfram.com/language/HypothesisTesting/ref/EqualVariances.html}", note=[Accessed: 11-July-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_equalvariances, organization={Wolfram Research}, title={EqualVariances}, year={2007}, url={https://reference.wolfram.com/language/HypothesisTesting/ref/EqualVariances.html}, note=[Accessed: 11-July-2025 ]}

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@online{reference.wolfram_2025_equalvariances, organization={Wolfram Research}, title={EqualVariances}, year={2007}, url={https://reference.wolfram.com/language/HypothesisTesting/ref/EqualVariances.html}, note=[Accessed: 11-July-2025 ]}