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5
More on Inferential Statistics
Goodness of Fit, Contingency
Analysis, and Analysis of Variance
5.1 GOODNESS OF FIT (GOF)
This important class of tests helps to determine whether a sample is drawn from a hypothetical
distribution or whether two samples come from the same distribution (Davis, 2002, pp. 92–96). As
in other chapters, we will use cdf to refer to the cumulative distribution function F(x). Goodness of
t (GOF) tests can be applied to one sample or to two samples depending on the question that we
seek to answer. We will cover the χ
2
or chi-square test, the Shapiro–Wilk test, and the Kolmogorov–
Smirnov or K–S test.
5.1.1 qualitative ...