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HypothesisTestData
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HypothesisTestData

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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

open allclose all

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

Create a HypothesisTestData object using DistributionFitTest:

In[1]:=1
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https://wolfram.com/xid/0cf3ta0htnqgy1e-dydm2r
In[2]:=2
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https://wolfram.com/xid/0cf3ta0htnqgy1e-ecwpy
Out[2]=2

Obtain a list of available properties:

In[3]:=3
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https://wolfram.com/xid/0cf3ta0htnqgy1e-cjzpbw
Out[3]=3

Extract a property:

In[4]:=4
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https://wolfram.com/xid/0cf3ta0htnqgy1e-m3k7bk
Out[4]=4

Scope  (6)Survey of the scope of standard use cases

Extract a single property:

In[1]:=1
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https://wolfram.com/xid/0cf3ta0htnqgy1e-djghio
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0cf3ta0htnqgy1e-k99mdl
Out[2]=2

Named tests report -values by default:

In[1]:=1
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https://wolfram.com/xid/0cf3ta0htnqgy1e-cysff9
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0cf3ta0htnqgy1e-mo34a2
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0cf3ta0htnqgy1e-cr3e7z
Out[3]=3

Use named tests in combination with reporting properties:

In[1]:=1
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https://wolfram.com/xid/0cf3ta0htnqgy1e-do7fm0
Out[1]=1

A full test table:

In[2]:=2
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https://wolfram.com/xid/0cf3ta0htnqgy1e-imzads
Out[2]=2

A test statistic:

In[3]:=3
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https://wolfram.com/xid/0cf3ta0htnqgy1e-e55xae
Out[3]=3

A test -value:

In[4]:=4
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https://wolfram.com/xid/0cf3ta0htnqgy1e-c3o49o
Out[4]=4

Both entries from the table:

In[5]:=5
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https://wolfram.com/xid/0cf3ta0htnqgy1e-l5jrn
Out[5]=5

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

In[1]:=1
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https://wolfram.com/xid/0cf3ta0htnqgy1e-b2ohvz
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0cf3ta0htnqgy1e-l7rlz
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0cf3ta0htnqgy1e-zeu4g
Out[3]=3

Determine which test will be chosen automatically:

In[4]:=4
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https://wolfram.com/xid/0cf3ta0htnqgy1e-e1v7nm
Out[4]=4

Build up tables with a selection of tests:

In[1]:=1
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https://wolfram.com/xid/0cf3ta0htnqgy1e-c5c6g8
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0cf3ta0htnqgy1e-fdj79m
Out[2]=2

Extract any number of properties simultaneously:

In[1]:=1
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https://wolfram.com/xid/0cf3ta0htnqgy1e-bjiy73
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0cf3ta0htnqgy1e-b0pchh
Out[2]=2
Wolfram Research (2010), HypothesisTestData, Wolfram Language function, https://reference.wolfram.com/language/ref/HypothesisTestData.html.
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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.

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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.

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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

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

BibTeX

@misc{reference.wolfram_2025_hypothesistestdata, author="Wolfram Research", title="{HypothesisTestData}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/HypothesisTestData.html}", note=[Accessed: 05-June-2025 ]}

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@misc{reference.wolfram_2025_hypothesistestdata, author="Wolfram Research", title="{HypothesisTestData}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/HypothesisTestData.html}", note=[Accessed: 05-June-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_hypothesistestdata, organization={Wolfram Research}, title={HypothesisTestData}, year={2010}, url={https://reference.wolfram.com/language/ref/HypothesisTestData.html}, note=[Accessed: 05-June-2025 ]}

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@online{reference.wolfram_2025_hypothesistestdata, organization={Wolfram Research}, title={HypothesisTestData}, year={2010}, url={https://reference.wolfram.com/language/ref/HypothesisTestData.html}, note=[Accessed: 05-June-2025 ]}