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Intermediate Proof

Does it Fit the Bill? The Goodness-of-Fit Test

Students frequently forget that Ei E_i must be sufficiently large (typically Ei5 E_i \ge 5 per cell). When frequencies are too small, the approximation of the discrete multinomial distribution by the continuous chi-squared distribution fails, leading to erroneous p-values and invalid conclusions about the model fit.
Institutional Reference: Applied Statistics
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