Contents
What is a paired sample correlation?
Paired Samples Correlations shows the bivariate Pearson correlation coefficient (with a two-tailed test of significance) for each pair of variables entered. Paired Samples Test gives the hypothesis test results. The Paired Samples Statistics output repeats what we examined before we ran the test.
What is the main difference between paired and independent samples?
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.
When to use two sample or paired t test?
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.
Which is an example of a paired sample?
This chapter considers the analysis of a quantitative outcome based on paired samples. Paired samples (also called dependent samples) are samples in which natural or matched couplings occur. This generates a data set in which each data point in one sample is uniquely paired to a data point in the second sample. Examples of paired samples include:
When to use a hypothesis test for matched or paired samples?
When using a hypothesis test for matched or paired samples, the following characteristics should be present: Simple random sampling is used. Sample sizes are often small. Two measurements (samples) are drawn from the same pair of individuals or objects. Differences are calculated from the matched or paired samples.
How to calculate the significance of a paired sample?
Compute ˉd and sd. Give a point estimate for μ1 − μ2 = μd. Construct the 95% confidence interval for μ1 − μ2 = μd from these data. Test, at the 10% level of significance, the hypothesis that μ1 − μ2 > 7 as an alternative to the null hypothesis that μ1 − μ2 = 7. Use the following paired sample data for this exercise. Compute ˉd and sd.