Overview

The logic of hypothesis testing and confidence intervals

This week we will cover the logic of consider the logic of hypothesis testing and type 1 and type 2 errors. We will also find out what the sampling distribution of the mean and the standard error are, and how to calculate confidence intervals.

Artwork by Horst (2023): “type 1 error”

Artwork by Horst (2023): “type 2 error”

Learning objectives

The successful student will be able to:

  • demonstrate the process of hypothesis testing with an example

  • explain type 1 and type 2 errors

  • define the sampling distribution of the mean and the standard error

  • explain what a confidence interval is

  • calculate confidence intervals for large and small samples

Instructions

  1. Prepare

    1. 📖 Read The logic of hyothesis testing
    2. 📖 Read Confidence Intervals

  2. Workshop

    1. 💻 Remind yourself how to import files
    2. 💻 Calculate confidence intervals on large
    3. 💻 Calculate confidence intervals on small samples.

  3. Consolidate

    1. 💻 Calculate confidence intervals for each group in a data set

References

Horst, Allison. 2023. “Data Science Illustrations.” https://allisonhorst.com/allison-horst.