Chapter 7

Inferential Statistics IV: Choosing a Hypothesis Test

Abstract

This chapter gives an overview of numerical and visual techniques that can be used to assess data distributions. Visual methods include histograms and quantile–quantile plots. Numerical methods include the probability plot correlation coefficient, skew values, and z-values. Formal hypothesis tests for determining if a sample fits an expected distribution are also described. The Shapiro–Wilk test can be used to decide whether or not a sample fits a normal distribution, and it is commonly used for small samples. The chi-square test can also be used to determine if a sample fits a normal distribution and is commonly applied to larger samples. The techniques presented ...

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