We have seen several hypothesis testing methods, such as t-tests, Z-tests, ANOVA etc. Today, we will build a flowchart to help decide what to choose. Before we select, there are a few conditions that we must satisfy.
1) We have a random sample. In case you forgot, a sample is a collection of observations. If all members are inside it, you no longer call it a sample but a population. So, the first condition says the observations must be unbiased.
2) We focus on continuous data this time.
3) The sample data should follow a normal distribution. If not, have more than 30 observations and let the central limit theorem justify you.
What is a paired sample?
Paired samples are observations on the same set of individuals, e.g. before and after or pre-intervention and post-intervention.