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Popular Statistical Tests

In: Fundamentals of Statistical Inference

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  • Konstantin M. Zuev

    (California Institute of Technology, Department of Computing and Mathematical Sciences)

Abstract

In the previous chapter, we discussed a general framework for hypothesis testing. Our next goal is to consider several specific statistical tests that are often used in practice. In this chapter, we will learn the Wald test and the t-test for testing simple hypotheses, the Kolmogorov-Smirnov test for testing the equality of probability distributions, the likelihood ratio test, which, thanks to its power, is one of the most widely used tests in parametric inference, and an elegant nonparametric permutation test for testing whether two samples were generated by the same data generating process. To illustrate how these tests can be used in applications, we will consider two case studies: we will compare the cholesterol levels in men and women and will statistically test Mendel’s theory of inheritance.

Suggested Citation

  • Konstantin M. Zuev, 2026. "Popular Statistical Tests," International Series in Operations Research & Management Science, in: Fundamentals of Statistical Inference, chapter 10, pages 213-261, Springer.
  • Handle: RePEc:spr:isochp:978-3-032-03848-7_10
    DOI: 10.1007/978-3-032-03848-7_10
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