Statistics[ChiSquareGoodnessOfFitTest] - apply the chisquare test for goodness-of-fit
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Calling Sequence
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ChiSquareGoodnessOfFitTest(Ob, Ex, options)
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Parameters
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Ob
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rtable; one-dimensional rtable of categorized observed data
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Ex
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rtable; one-dimensional rtable of categorized expected data
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options
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(optional) equation(s) of the form option=value where option is one of fitparameters, level, or output; specify options for the ChiSquareGoodnessOfFitTest function
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Description
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The ChiSquareGoodnessOfFitTest function computes the chisquare test for goodness-of-fit. This test attempts to determine if an observed sample can be considered to match an expected sample.
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The first parameter Ob is a one-dimensional rtable of categorized observed data. This parameter must have the same length as Ex.
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The second parameter Ex is a one-dimensional rtable of categorized expected data. This parameter must have the same length as Ob.
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Options
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The options argument can contain one or more of the options shown below.
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This option is used to specify if this goodness-of-fit test is used to indicate the number of categories used when fitting this data to a distribution. A positive value for this parameter negatively affects the number of degrees of freedom used in the calculation, and so should be no greater than rtable_num_elems(Ex)-1.
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This option is used to specify the level of the analysis (minimum criteria for the observed data to be considered well-fit to the expected data). By default, this value is 0.05.
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output='report', 'statistic', 'pvalue', 'criticalvalue', 'distribution', 'hypothesis', or list('statistic', 'pvalue', 'criticalvalue', 'distribution', 'hypothesis')
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This option is used to specify the desired format of the output from the function. If 'report' is specified then a module containing all output from this test is returned. If a single parameter name is specified other than 'report' then that quantity alone is returned. If a list of parameter names is specified then a list containing those quantities in the specified order will be returned.
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Notes
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This test generates a complete report of all calculations in the form of a userinfo message. In order to access this report, specify infolevel[Statistics] := 1.
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To compare observed samples against a distribution rather than a categorized data set, the chisquare suitable model test should be applied instead.
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Examples
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>
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>
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Specify the matrices of categorized data values.
>
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Perform the goodness-of-fit test upon this sample.
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Chi-Square Test for Goodness-of-Fit
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Null Hypothesis:
Observed sample does not differ from expected sample
Alt. Hypothesis:
Observed sample differs from expected sample
Categories: 6
Distribution: ChiSquare(5)
Computed statistic: 5
Computed pvalue: 0.41588
Critical value: 11.0704974062099
Result: [Accepted]
There is no statistical evidence against the null hypothesis
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References
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Kanji, Gopal K. 100 Statistical Tests. London: SAGE Publications Ltd., 1994.
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Sheskin, David J. Handbook of Parametric and Nonparametric Statistical Procedures. London: CRC Press, 1997.
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Download Help Document
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