Question

Identify the appropriate statistical test for each research description:

1. Single-sample z-test

2. Single-samplet-test

3. Independent samples t-test

4. Related samples t-test (repeated measures or matched samples)

5. Correlation

A researcher investigates whether single people who own pets are generally happier than singles without pets. A group of non-pet owners is compared to pet owners using a mood inventory. The pet owners are matched one to one with the non-pet owners for income, number of close friendships, and general health.

Answer 1

In the Related samples t-test, that also referred as the repeated measures or matched samples, the dependent variable is measured in terms of interval or we can say ratio scale. Also, the paired observations recorded in terms of two different groups ( or variables). The subjects are measured in all the distinct experimental that can favor to dependent variable in the study.

In the study, the researcher wants to analyse whether single people who own pets are generally happier than singles without pets. There are two groups- one is pet owners and the other is non-pet owners. Both the groups are compared based on scale of mood inventory like A, B, C, D and so on. Also, both the groups are matched one to one for different experimental conditions like income, number of close friendships, and general health. Therefore, the most appropriate test for this study is Related samples t-test (repeated measures or matched samples).