Question

What is the paired and unpaired t-test? What are the differences?

Answer 1

Hint: For answering this question, you should know about the paired t-test(also known as a dependent or correlated t-test). It is a statistical test that compares the averages/means and the standard deviations of two related groups to determine if there is a significant difference between the two groups.

Complete step-by-step solution:
According to the question, we have to know about the paired t-test and the unpaired t-test. First, we should know what a paired t-test is.
A paired t-test is also known as dependent or correlated t-test and is a statistical test that compares the average/means and the standard deviations of two related groups to determine if there is a significant difference between the two groups. A significant difference occurs when the difference between the groups is unlikely to be there due to sampling error or chance.
An unpaired t-test which is also known as independent t-test is a statistical procedure that compares the average/mean of two independent or unrelated groups to determine if there is a significant difference between the two.
We can compare the difference between them with the help of this table:

	Paired t-test	Unpaired t-test
Definition	A statistical test used to determine if there is a significant difference between the mean of two dependent samples.	A statistical test used to determine if there is a significant difference between the mean of two independent samples.
Relationship between groups?	Yes	No
Assumes equal variance between groups?	No	Yes

Note: The paired t-test and unpaired t-test both are done for different samples for comparing at different conditions. And the hypothesis of paired and unpaired t-test are also different for both the tests. And here very much assumptions are there for both the tests.