What is a two-sample problem?
When comparing the means of two groups, and a researcher has two sets of data observations.
What is a paired two-sample problem?
When the two populations are dependent or related to each other
What is an independent two-sample problem?
When both populations are independent.
When can we use the general independent procedure?
We always can as long as we have two independent samples.
When can we use the pooled independent procedure?
If the variances of the two populations are “equal”. (larger one / smaller one ≤ 1.5)
What is the point estimate for an independent two-sample problem?
x_bar - y_bar
For paired samples, our data simplifies to…
z_i = x_i - y_i