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HypothesisTestData[…]

represents hypothesis test data such as generated by DistributionFitTest, AndersonDarlingTest, etc.

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HypothesisTestData

HypothesisTestData[…]

represents hypothesis test data such as generated by DistributionFitTest, AndersonDarlingTest, etc.

Details

  • A HypothesisTestData[…] object htd, can be used to retrieve additional data and reports through htd["property"].
  • A list of available properties is given by htd["Properties"]. Additional information about the properties is listed on the pages for functions such as DistributionFitTest.
  • Typical properties include:
  • "PValue"list of -values
    "PValueTable"formatted table of -values
    "TestData"list of pairs of test statistics and -values
    "TestDataTable"formatted table of -values and test statistics
    "TestStatistic"list of test statistics
    "TestStatisticTable"formatted table of test statistics

Examples

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Basic Examples  (1)

Create a HypothesisTestData object using DistributionFitTest:

Wolfram Language code: data = RandomVariate[NormalDistribution[], 100];
Wolfram Language code: ℋ = DistributionFitTest[data, Automatic, "HypothesisTestData"]

Obtain a list of available properties:

Wolfram Language code: ℋ["Properties"]

Extract a property:

Wolfram Language code: ℋ["TestDataTable"]

Scope  (6)

Extract a single property:

Wolfram Language code: ℋ = DistributionFitTest[RandomVariate[NormalDistribution[], 100], Automatic, "HypothesisTestData"]
Wolfram Language code: ℋ["AutomaticTest"]

Named tests report -values by default:

Wolfram Language code: ℋ = DistributionFitTest[RandomVariate[NormalDistribution[], 100], Automatic, "HypothesisTestData"]
Wolfram Language code: ℋ["KolmogorovSmirnov"]
Wolfram Language code: ℋ["AndersonDarling"]

Use named tests in combination with reporting properties:

Wolfram Language code: ℋ = DistributionFitTest[RandomVariate[NormalDistribution[], 100], Automatic, "HypothesisTestData"]

A full test table:

Wolfram Language code: ℋ["TestDataTable", "KolmogorovSmirnov"]

A test statistic:

Wolfram Language code: ℋ["TestStatistic", "KolmogorovSmirnov"]

A test -value:

Wolfram Language code: ℋ["PValue", "KolmogorovSmirnov"]

Both entries from the table:

Wolfram Language code: ℋ["TestData", "KolmogorovSmirnov"]

Using reporting properties alone is equivalent to combining them with Automatic:

Wolfram Language code: ℋ = DistributionFitTest[RandomVariate[NormalDistribution[], 100], Automatic, "HypothesisTestData"]
Wolfram Language code: ℋ["TestDataTable", Automatic]
Wolfram Language code: ℋ["TestDataTable"]

Determine which test will be chosen automatically:

Wolfram Language code: ℋ["AutomaticTest"]

Build up tables with a selection of tests:

Wolfram Language code: ℋ = DistributionFitTest[RandomVariate[NormalDistribution[], 100], Automatic, "HypothesisTestData"]
Wolfram Language code: ℋ["TestDataTable", {"KolmogorovSmirnov", "AndersonDarling"}]

Extract any number of properties simultaneously:

Wolfram Language code: ℋ = DistributionFitTest[RandomVariate[NormalDistribution[], 100], Automatic, "HypothesisTestData"]
Wolfram Language code: ℋ[{"TestDataTable", "TestData", "TestStatistic", "PValue"}]
Wolfram Research (2010), HypothesisTestData, Wolfram Language function, https://reference.wolfram.com/language/ref/HypothesisTestData.html.

Text

Wolfram Research (2010), HypothesisTestData, Wolfram Language function, https://reference.wolfram.com/language/ref/HypothesisTestData.html.

CMS

Wolfram Language. 2010. "HypothesisTestData." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/HypothesisTestData.html.

APA

Wolfram Language. (2010). HypothesisTestData. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/HypothesisTestData.html

BibTeX

@misc{reference.wolfram_2026_hypothesistestdata, author="Wolfram Research", title="{HypothesisTestData}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/HypothesisTestData.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_hypothesistestdata, organization={Wolfram Research}, title={HypothesisTestData}, year={2010}, url={https://reference.wolfram.com/language/ref/HypothesisTestData.html}, note=[Accessed: 13-June-2026]}