Introduction

This is a mini-book on hypothesis testing in statistics. It covers the tests taught in DSCI 552 in the MDS program at UBC.

The Test Mind Map

mindmap
  root((Frequentist
  Hypothesis 
  Testings
  ))
    Simulation Based<br/>Tests
    Classical<br/>Tests
      (Chapter 1: <br/>Tests for One<br/>Continuous<br/>Population Mean)
        {{Unbounded<br/>Response}}
        {{Proportion between<br/>0 and 1<br/>obtained from a <br/>Binary Response}}
      (Chapter 2: <br/>Tests for Two<br/>Continuous<br/>Population Means)
        Two<br/>Independent<br/>Populations
          {{Unbounded<br/>Responses}}
          {{Proportions between<br/>0 and 1<br/>obtained from two <br/>Binary Responses}}
        Two<br/>Related<br/>Populations or<br/>Measurements
          {{Unbounded<br/>Responses}}
      (Chapter 3: <br/>ANOVA related <br/>Tests for<br/>k Continuous<br/>Population Means)
        {{Unbounded<br/>Responses}}

Figure 1: A general hypothesis testing mind map outlining all techniques explored in this book. Depending on the overall approach to be used, these techniques are divided into two broad categories: classical and simulation-based tests.

The Test Workflow

Figure 2: A classical-based hypothesis testing workflow structured in four substages: general settings, hypotheses definitions, test flavour and components, and inferential conclusions.