paired or unpaired samples T tests: firstly, let’s learn about two-sample t-tests. A two-sample t-test is a test to compare the mean of two samples of data. It can help you find out if means are significantly different from each other or not.
If data in both the samples is related to each other then we can say the test is paired and if data is not related to each other in any way then we can say that the test is unpaired or independent.
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Paired samples T test
These types of tests are used to compare groups that are related in some way. In many ways, they can be related to each other. One way is that participants in the first group are the same as participants in the second group and the second way is that participants in the first group are genetically related to participants in the second group. A third way is if participants in one group are matched with participants in a second group by some attribute.
Example of Paired t test
Now to understand the concept of paired and unpaired let us take an example of paired, “A teacher wants to test a new course. Is this course helpful for students to understand the topic? They did the test on 10 students and found the results before and after taking the course.” In this example students are same before the course or after the course. The sample in this case is same. So, it is paired t test.
Possible Hypothesis in paired t test
Null Hypothesis(H0): It states that there is no change or no significant difference between the means of two samples.
Alternative Hypothesis(H1):It states that there is change or significant difference between the means of two samples.
Unpaired(Independent) samples T test
These types of t-tests are used to compare samples of participants that are not related in any way. The groups are independent from one another. So, participants in one group have no relationship to participants in the second group.
Example for Unpaired(Independent) samples t test
“A researcher wants to test new drug to compare its effectiveness to that of the standard available drug.” one more example is that there is a hypothesis that Virat Kohli performs better than Sachin Tendulkar in the second innings of an ODI match.
Possible Hypothesis in unpaired(independent) t test
The possible hypothesis for the unpaired t-test will be the same as a paired t-test.
Null Hypothesis(H0): It states that there is no change or no significant difference between the means of two samples.
Alternative Hypothesis(H1):It states that there is change or significant difference between the means of two samples.
What are the measures of central tendency and dispersion?
What are the possible hypothesis for paired t test?
There are two possible hypothesis for paired t test. one is null hypothesis and other one is Alternative hypothesis.
What are the types of two sample t test?
Two , paired test or unpaired test