STATISTICS Lecture Notes - Contingency Table, Karl Pearson, Test Statistic

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22 Oct 2022
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Attributes- contingency table 2x2 contingency table test for independence of attributes test for goodness of fit of mendalian ratio. In case of attributes we can not employ the parametric tests such as f and t. When we want to test whether a set of observed values are in agreement with those expected on the basis of some theories or hypothesis. The statistic provides a measure of agreement between such observed and expected frequencies. It is used to (1) test the independence of attributes (2) test the goodness of fit (3) test the homogeneity of variances (4) test the homogeneity of correlation coefficients (5) test the equaslity of several proportions. In genetics it is applied to detect linkage. A very powerful test for testing the significance of the discrepancy between theory and experiment was given by prof. karl pearson in 1900 and is known as chi-square test of goodness of fit .

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