There is a study that includes a small sample subject to a normal distribution
Hello Thaer,
If your goal is to compare means of two or more batches of data, and you're willing to make the usual parametric assumptions (errors are normally and independently distributed with equal variance), then:
1. When there are two batches to compare, the statistical results of the t-test will lead to exactly the same p-values, decisions, and conclusions as the F-test. In fact, if you square the obtained t-statistic, it will equal the F-ratio that would be observed for the data set.
2. When there are more than two batches to compare, only the F-test is capable of simultaneously comparing all for equality (e.g., Ho: mu1 = mu2 = ... = muk, with k batches, k > 2).
Good luck with your work.
I will suggest to you to check any book of statistics or design of Experiments for there are some basics you need to understand. Wish you luck.
T-test is used to compare the mean of two or more samples while f-test is used to compare variances.
the t-test is used for small samples as a test of significance for single mean, and the difference between two means( related and independent samples). While f-test (ANOVA) is used to compare means between multiple samples( more than two).
Dear Dr Thaer Hashim .
1.The F-test can be used for large sampled population.
2.The T-test is used to compare the means of two different sets. It decides whether the mean of one group is significantly different from the other group. See the link: https://www.aatbio.com/resources/faq-frequently-asked-questions/What-s-the-difference-between-an-F-Test-and-T-Test#:~:text=The%20F%2Dtest%20can%20be%20applied%20on%20the%20large%20sampled%20population.&text=The%20T%2Dtest%20is%20used,different%20from%20the%20other%20group.
Kindly check also the following useful link: https://keydifferences.com/difference-between-t-test-and-f-test.html
Also check please the following good link: https://www.mathworks.com/matlabcentral/answers/79920-what-is-the-difference-between-f-test-and-t-test
The following link is also very useful: https://math.stackexchange.com/questions/3012298/f-test-vs-t-test-what-is-the-real-diference
To compare means of two independent samples use T-test , while F-test used to compare mean for more than tow sample.
- Badges
- Science topic
- Similar topics
- Geoscience
- Asia
- India