Week 11 Overview

Dates 31 March 2025 - 04 April 2025
Reading Required: SCIU4T4 Workbook chapter 34
Recommended: None
Suggested: None
Advanced: Ernst (2004) (Download)
Lectures 11.1: Introduction to randomisation (18:43 min; Video)
11.2: Assumptions of randomisation (11:03 min; Video)
11.3: Bootstrapping (11:43 min; Video)
11.4: Monte Carlo (min; Video)
Lecture Test Review: 02 APR 2025 (WED) 09:00-10:00 Cottrell LT B4
Practical Using R (Chapter 36)
Room: Cottrell 2A15
Group A: 02 APR 2025 (WED) 14:00-17:00
Group B: 03 APR 2025 (THU) 15:00-18:00
Help hours Brad Duthie
Room: Cottrell 2Y8
04 APR 2025 (FRI) 14:00-16:00
Assessments Week 11 Practice quiz on Canvas
Test 2S on Canvas (02 APR 2025 at 11:00-13:00)

Week 11 introduces randomisation approaches and the R programming language.

Chapter 35 takes a different approach to explaining hypothesis tests. Instead of specifying null distributions beforehand, we can use randomisation to build a null distribution from the sampled data. Randomisation is a flexible tool for hypothesis testing, but it also provides a different perspective on what p-values really are and how to think about them. Since hypothesis tests and, in particular, p-values are so often misunderstood, explaining how they work from this different perspective can be very instructive. For some students, randomisation is the topic in which the nature of p-values finally starts to become clear, and this is the primary motivation for including it in this book. Chapter 35 introduces randomisation as a tool for testing the same null hypothesis as the independent samples t-test, and compares the two approaches side by side to demonstrate their equivalence. It then introduces bootstrapping as a method for obtaining confidence intervals.

Chapter 36 Introduces the R programming language, which has become the most common and versatile tool for data analysis in the biological and environmental sciences. Jamovi was built on top of the R programming language. This chapter introduces the very basics of working in R.

References

Ernst, Michael D. 2004. Permutation methods: A basis for exact inference.” Statistical Science 19 (4): 676–85. https://doi.org/10.1214/088342304000000396.