The multinomial setting goodness of fit test allows to check whether the distribution of a sample corresponding to a qualitative variable (or discrete quantitative variable) is consistent with the expected results.
The Chi-square goodness of fit test is a statistical hypothesis test used to determine whether a variable is likely to come from a specified distribution or not. It is often used to check whether the sample data is representative of the full population or is it biased.
The degrees of freedom for the chi-square goodness of fit is calculated by using the following formula: df = (r-1)(c-1) where r is the number of rows and c is the number of columns. The following conditions are the conditions required: The sampling method should be simple random sampling. The variable being observed is categorical. The expected value of the number of sample observations for each variable is at least 5.
Therefore, The multinomial setting goodness of fit test allows to check whether the distribution of a sample corresponding to a qualitative variable (or discrete quantitative variable) is consistent with the expected results.
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