This chapter provides a comprehensive exploration of hypothesis testing. It explores the principles of falsification as advocated by Karl Popper and the application of these principles in statistical hypothesis testing through the Neyman–Pearson approach. The chapter covers the construction and testing of null (H0) and alternative (H1) hypotheses, the interpretation of Type I and Type II errors (α and β errors). It provides practical examples using statistical software such as R, SPSS, Stata, and Excel, and explains various parametric and nonparametric tests including z-tests, t-tests, ANOVA, Mann–Whitney U test, Kruskal–Wallis test, Wilcoxon signed-rank test, Wilcoxon rank-sum test, chi-square test, as well as tests for normal distribution.

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Hypothesis Testing

  • Thomas Cleff

摘要

This chapter provides a comprehensive exploration of hypothesis testing. It explores the principles of falsification as advocated by Karl Popper and the application of these principles in statistical hypothesis testing through the Neyman–Pearson approach. The chapter covers the construction and testing of null (H0) and alternative (H1) hypotheses, the interpretation of Type I and Type II errors (α and β errors). It provides practical examples using statistical software such as R, SPSS, Stata, and Excel, and explains various parametric and nonparametric tests including z-tests, t-tests, ANOVA, Mann–Whitney U test, Kruskal–Wallis test, Wilcoxon signed-rank test, Wilcoxon rank-sum test, chi-square test, as well as tests for normal distribution.