What is the main difference between an independent samples t-test and a single sample t-test?

What is the main difference between an independent samples t-test and a single sample 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.

How are the samples in the two independent samples t-test related?

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. To use the two-sample t-test, we need to assume that the data from both samples are normally distributed and they have the same variances.

What are the similarities and differences between a one sample independent groups and paired sample t est?

Paired-samples t tests compare scores on two different variables but for the same group of cases; independent-samples t tests compare scores on the same variable but for two different groups of cases.

What is the difference between independent samples and related samples?

If the values in one sample affect the values in the other sample, then the samples are dependent. If the values in one sample reveal no information about those of the other sample, then the samples are independent.

How are two dependent samples different from independent samples?

Dependent Samples. Two samples are independent if the sample values selected from one population are not related or somehow paired or matched with the sample values selected from the other population. Two samples are dependent (or consist of matched pairs) if the members of one sample can be used to determine the members of the other sample.

What is the test statistic for independent samples t?

Test Statistic. The test statistic for an Independent Samples t Test is denoted t. There are actually two forms of the test statistic for this test, depending on whether or not equal variances are assumed. SPSS produces both forms of the test, so both forms of the test are described here.

When to use the single sample t test?

The Single Sample T-Test is a statistical test used to determine if a single group is significantly different from a known or hypothesized population value on your variable of interest. Your variable of interest should be continuous and normally distributed and you should have enough data (more than 5 values).

When to use Levene’s test or independent samples t test?

SPSS conveniently includes a test for the homogeneity of variance, called Levene’s Test, whenever you run an independent samples t test. This implies that if we reject the null hypothesis of Levene’s Test, it suggests that the variances of the two groups are not equal; i.e., that the homogeneity of variances assumption is violated.