Chi-square tests of homogeneity

Chi-square Test of Homogeneity n Atype of chi-square test for quantifying how consistent a proportion, result, or outcome is across more than one sample of a population or across more than one population. One would not expect the proportions, etc., to be identical across different samples even from the same population however, one would expect the proportions to be closer than that predicted by chance alone if the proportions were not due to random chance alone. The chi-square test of homogeneity uses the null hypothesis that the samples are homogenous with respect to the proportion, etc., under consideration. The chi-square test to test whether the... 

C Model Discrimination - Bartlett s Chi-Square Test The m rival models with their mean SSR or error variances, s2, are pooled to a set of variances that are tested upon homogeneity. The following random variable is therefore defined [70] ... 

The F-test provides a statistical measure of the variability for two sets of measurements. If there are more than two sets, the chi-squared test is used to determine whether the variability of the separate sets forms a homogeneous group. The relationship for chi-squared under these conditions is given as follows ... 

BARTLETT S TEST for homogeneity of CV s is applied in order to test the feasibility of "pooling the coefficients of variation" for any set of 18 generated samples (i.e., 6 at each of the 0.5, 1, and 2X OSHA standard levels). The following equation for the Chi-square, with 2 degrees of freedom, was used ... 

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