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MeanDifferenceCI[list1,list2]

gives a confidence interval for the difference between the population means estimated from list1 and list2.

更多信息和选项
Details and Options Details and Options
范例  
基本范例  
Options  
ConfidenceLevel  
EqualVariances  
KnownVariance  
参见
技术笔记
相关指南
按以下格式引用：
HypothesisTesting`
HypothesisTesting`

MeanDifferenceCI

MeanDifferenceCI[list1,list2]

gives a confidence interval for the difference between the population means estimated from list1 and list2.

更多信息和选项

  • To use MeanDifferenceCI, you first need to load the Hypothesis Testing Package using Needs["HypothesisTesting`"].
  • MeanDifferenceCI[list1,list2] gives a confidence interval {min,max} centered at Mean[list1]-Mean[list2].
  • MeanDifferenceCI is based on a normal distribution if the population variances are assumed known.
  • If the variances for the two populations are assumed equal and unknown, the interval is based on Student's distribution with Length[list1]+Length[list2]-2 degrees of freedom.
  • If the population variances are not assumed known and not assumed equal, Welch's approximation for the degrees of freedom is used.
  • The following options can be given:
  • ConfidenceLevel0.95probability associated with a confidence interval
    EqualVariancesFalsewhether the unknown population variances are assumed equal
    KnownVarianceNonelist of variances of each population

范例

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基本范例  (1)

Wolfram Language code: Needs["HypothesisTesting`"]

The 95% confidence interval for the difference in two population means:

Wolfram Language code: MeanDifferenceCI[{1, 2, 4, 6, 3}, {4, 10, 6, 8, 5, 8}]

Options  (3)

ConfidenceLevel  (1)

Wolfram Language code: Needs["HypothesisTesting`"]

The 99% confidence interval:

Wolfram Language code: MeanDifferenceCI[{1, 2, 4, 6, 3}, {4, 10, 6, 8, 5, 8}, ConfidenceLevel -> .99]

EqualVariances  (1)

Wolfram Language code: Needs["HypothesisTesting`"]

A confidence interval assuming equal but unknown variances:

Wolfram Language code: MeanDifferenceCI[{1, 2, 4, 6, 3}, {4, 10, 6, 8, 5, 8}, EqualVariances -> True]

KnownVariance  (1)

Wolfram Language code: Needs["HypothesisTesting`"]

A confidence interval assuming known variances:

Wolfram Language code: MeanDifferenceCI[{1, 2, 4, 6, 3}, {4, 10, 6, 8, 5, 8}, KnownVariance -> {1, 2}]
Wolfram Research (2007)，MeanDifferenceCI，Wolfram 语言函数，https://reference.wolfram.com/language/HypothesisTesting/ref/MeanDifferenceCI.html.

文本

Wolfram Research (2007)，MeanDifferenceCI，Wolfram 语言函数，https://reference.wolfram.com/language/HypothesisTesting/ref/MeanDifferenceCI.html.

CMS

Wolfram 语言. 2007. "MeanDifferenceCI." Wolfram 语言与系统参考资料中心. Wolfram Research. https://reference.wolfram.com/language/HypothesisTesting/ref/MeanDifferenceCI.html.

APA

Wolfram 语言. (2007). MeanDifferenceCI. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/HypothesisTesting/ref/MeanDifferenceCI.html 年

BibTeX

@misc{reference.wolfram_2026_meandifferenceci, author="Wolfram Research", title="{MeanDifferenceCI}", year="2007", howpublished="\url{https://reference.wolfram.com/language/HypothesisTesting/ref/MeanDifferenceCI.html}", note=[Accessed: 19-August-2026]}

BibLaTeX

@online{reference.wolfram_2026_meandifferenceci, organization={Wolfram Research}, title={MeanDifferenceCI}, year={2007}, url={https://reference.wolfram.com/language/HypothesisTesting/ref/MeanDifferenceCI.html}, note=[Accessed: 19-August-2026]}