We're glad you stopped by Which of the following statements best describes the paired sample t test for means A A technique for comparing mean scores on the dependent variable. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
The paired sample t-test for means is best described by option b: "A technique for comparing mean scores on two different variables, measured on similar scales, across a single group."
Explanation:
What is a Paired Sample t-test?
The paired sample t-test, also known as the dependent sample t-test or the matched pairs t-test, is a statistical method used to determine whether the mean difference between two sets of observations is zero. This test is applicable when the same subjects are used in both groups, or paired measurements are taken from the same group, ensuring that the observations are not independent.
Purpose and Use:
The main purpose of the paired sample t-test is to assess whether the means of two related groups differ from one another in a statistically significant manner. It is often used in 'before-and-after' studies where measurements are taken before and after a treatment on the same subjects, for instance, to evaluate the effectiveness of a new therapy.
Why Option B is Correct:
- Option b describes comparing mean scores on two different variables that are measured across a single group, which aligns with the paired sample approach where data points have a natural pairing.
- Each subject serves as their own control, providing two measurements (e.g., before and after a treatment), making the observations within subjects correlated.
Statistical Calculation:
The difference between the paired observations is calculated, and the t-test is performed on these differences to determine if their mean is significantly different from zero.
Conditions for Use:
- The differences between the paired observations should be approximately normally distributed.
- The data should be measured on an interval or ratio scale.
Overall, the paired sample t-test is an efficient and powerful analytical tool for analyzing dependent data points when comparing two conditions or treatments applied to the same subjects.
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