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What is the difference between a dependent and independent samples t-test?
Dependent samples are paired measurements for one set of items. Independent samples are measurements made on two different sets of items. If the values in one sample reveal no information about those of the other sample, then the samples are independent.
What is another name for dependent samples t-test?
paired t-test
The dependent t-test (also called the paired t-test or paired-samples t-test) compares the means of two related groups to determine whether there is a statistically significant difference between these means.
What is the hypothesis for a dependent samples t-test?
T-test of Two Dependent (paired) Samples Using R The null hypothesis is that the mean change in knowledge scores from before to after is 0. However, the analyis shows that the mean difference is 3.53 with a 95% confidence interval that ranges from 1.36 to 5.7.
Why do independent samples t test not assume equal variances?
Note that this form of the independent samples t test statistic does not assume equal variances. This is why both the denominator of the test statistic and the degrees of freedom of the critical value of t are different than the equal variances form of the test statistic.
When to use t test for dependent means?
When the samples are dependent, a special t test for dependent means is used. This test employs the difference in values of the matched pairs. The hypotheses are as follows:
How to test hypothesis for two dependent samples?
When testing a hypothesis about two dependent samples, we follow the same process as when testing one random sample or two independent samples: State the null and alternative hypotheses. Set the criterion (critical values) for rejecting the null hypothesis. Compute the test statistic.
How to differentiate between independent and dependent samples?
The other scenario is one in which an observation in one sample is matched with an observation in the second sample. To distinguish between tests of hypotheses for independent and dependent samples, we use a different symbol for hypotheses with dependent samples.