Can you parahprase all there words from 1-5: do it in order. 1- One-Sample T-Tes
ID: 3319603 • Letter: C
Question
Can you parahprase all there words from 1-5: do it in order.
1- One-Sample T-Test:
A One-Sample T-Test compares a sample mean and a known population mean to determine whether the difference between the two means is statistically significant or occurred by chance alone.
2- Two-sample hypothesis testing is statistical analysis designed to test if there is a difference between two means from two different populations.
3-Paired Samples T-Test
A Paired Samples T-Test compares two sample means from the same population regarding the same variable at two different times such as during a pre-test and post-test, or it compares two sample means from different populations whose members have been matched, to determine whether the difference between the two means is statistically significant or occurred by chance alone.
4- Paired t-test is used when the two samples are dependent. The two observations are taken on the same sample unit.
While in case of ANOVA each of six samples is independent. It is used when we compare the six means of all the six samples.
5- In ANOVA we compare all the six samples at a time by taking variances. If we have to compare the six samples at a time the type I error increases. Hence, ANOVA is better than two sample t-test.
Explanation / Answer
(1) 1-sample t-test = This test is used to:
(2) 2-sample t-test = This test is used to determine:
(3) Paired t-test = Paired t-test is performed to check whether there is a difference in mean after a treatment on a sample in comparison to before. It checks whether the Null hypothesis: The difference between the means is Zero, can be rejected or not.
(4) In paired t-test, the two samples used belong to the same group and just we compare the pre-treatment and post-treatment offects of the two samples.
In ANOVA, all the samples does not belong to the same group and are independent of each other.
(5) Multiple t-tests will have a compound effect on the tyep I error rate of the result. Performing t-test six times will give an error rate of ~30% which is too high, whereas ANOVA keeps it at 5% for a 95% confidence interval.