Question

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

Answer 1

Hint : To answer this question, we first need to understand what t-test is. The t-test is a simple approach to compare the mean of two sets of measures to see if they are the same (statistically). Its major purpose is to test the experiment's null hypothesis. Before the project can be finished, assumptions about the data must be made.

Complete Step By Step Answer:
Paired t-test: The Paired Samples to Test compares the means of two measurements taken from the same person, item, or unit of measurement. These "paired" measurements can be used to represent a variety of things, including: A comparison of two measurements taken at two different periods (e.g., pre-test and post-test score with an intervention administered between the two time points)
Unpaired t-test: An unpaired t-test (also known as an independent t-test) examines the averages/means of two independent or unrelated groups to see if there is a statistically significant difference between them.
Key differences between paired and unpaired t-test:

Parameter of comparison	Paired T-Test	Unpaired T-Test
Meaning	The paired T-Test, also known as the repeated samples T-Test, determines the difference between two subjects' means.	Unpaired T-Tests, also known as independent T-Tests or student's T-Tests, are used to determine the means of two groups of subjects that are unrelated.
Homogeneity of variances	The variance of the two mean groups is not equal in the Paired T-Test.	The variance of the two main groups is equal in the Unpaired T-Test.
Effects/impacts	Because the test is only conducted between two similar groups, paired T-tests deal with extremely modest mistakes.	Because the researcher is affected by differences between two separate participants, unpaired T-Tests have slightly more errors than paired T-Tests.
Outcome	Paired T-Tests eliminate the need to collect large volumes of sample data for comparison, saving both money and time.	Unpaired T-Tests are slightly more expensive and time-consuming since they must compare the means of two independent subjects.

Note :
When deciding on a t-test, you must consider two factors: whether the groups being compared are from the same population or from two different populations, and whether you wish to test the difference in one direction or the other.