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The components of chi-squared statistics for goodness-of-fit tests - MaRDI portal

The components of chi-squared statistics for goodness-of-fit tests (Q1114268)

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scientific article; zbMATH DE number 4084765
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The components of chi-squared statistics for goodness-of-fit tests
scientific article; zbMATH DE number 4084765

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    The components of chi-squared statistics for goodness-of-fit tests (English)
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    1987
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    [For the entire collection see Zbl 0626.00025.] One obtains a formula for the transformation of a vector with a given covariance matrix. The sum of the squares of the components of the transformed vector is equal to a chi-square type quadratic form, constructed with the aid of the initial vector. Taking into account this property, one finds the components of the Pearson statistic, Pearson- Fisher statistic, etc.
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    multinomial distribution
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    transformation
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    covariance matrix
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    chi-square type quadratic form
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    Pearson statistic
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    Pearson-Fisher statistic
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