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What is the difference between independent t-test and paired t-test?
An Independent Samples t-test compares the means for two groups. A Paired sample t-test compares means from the same group at different times (say, one year apart). A One sample t-test tests the mean of a single group against a known mean.
When should the paired t-test be used instead of the independent t-test?
As discussed above, these two tests should be used for different data structures. Two-sample t-test is used when the data of two samples are statistically independent, while the paired t-test is used when data is in the form of matched pairs. There are also some technical differences between them.
When do you use independent and paired samples?
When comparing two or more groups, cases may be independent or paired. Cases in each group are unrelated to one another. Cases in each group are meaningfully matched with one another; also known as dependent samples or matched pairs An instructor wants to compare students’ scores on the midterm and final exam.
How is the 2 sample t test different from the paired t test?
The 2-sample t-test uses a sample size of 30 (two groups with 15 per group), while the paired t-test has only 15 subjects, but the researchers test them twice. Why is the paired t-test with the dependent samples statistically significant while the 2-sample t-test with independent samples is not significant? Understanding the Different Results
When is the independent sample t test not trustworthy?
There is no relationship between the subjects in each sample. This means that: When this assumption is violated and the sample sizes for each group differ, the p value is not trustworthy. However, the Independent Samples t Test output also includes an approximate t statistic that is not based on assuming equal population variances.
How are independent samples used in hypothesis testing?
In independent samples, subjects in one group do not provide information about subjects in other groups. Each group contains different subjects and there is no meaningful way to pair them. Independent groups are more common in hypothesis testing.