10

The Noncentral t Distribution

I find the noncentral t distribution fascinating, but it's an optional extra topic. If you like, read the brief overview, glance at some of the figures, and maybe take a look at the fairy tale. Then you can safely skip to the next chapter. Here's the agenda:

  • A brief overview of noncentral t and why we might care.
  • Sampling when the null hypothesis is true—first assuming σ is known, and then dropping that assumption.
  • Arrival of the s pile, that being the sampling distribution of sample SDs.
  • Sampling when the alternative ...

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