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Chi-Squared Goodness of Fit Tests with Applications by M.S Nikulin, Vassilly Voinov, N. Balakrishnan

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Chapter 1

A Historical Account

The famous chi-squared goodness of fit test was proposed by Pearson (1900). If simple observations are grouped over r disjoint intervals image and image denote observed frequencies corresponding to a multinomial scheme with image as the expected frequencies, for image, the Pearson’s sum is given by

(1.1)

where is the vector of standardized ...

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