Which of the following statements are true about matched pairs analysis?
I. In a matched pair analysis you use a single-sample procedure. The sample is made up of the difference between pairs of observations.
II. In a matched pairs analysis the two original samples are said to be dependent on each other.
III. In a matched pairs analysis each of the two original samples is analyzed separately before comparing their means.
IV. In a matched pairs analysis you start with two sets of observations on a single variable.
II and III only
III and IV only
I, II, and III only
I and II only
I, II, and IV only
I was thinking the last choice
The correct answer is "I and II only."
I. In a matched pair analysis, you use a single-sample procedure where the sample is made up of the difference between pairs of observations. This is true because in a matched pairs analysis, you are comparing the differences between related pairs of observations.
II. In a matched pairs analysis, the two original samples are said to be dependent on each other. This is also true because the pairs of observations are related or dependent on each other. For example, if you are comparing the effectiveness of a treatment before and after, the observations are dependent on each other because they come from the same individuals.
III. In a matched pairs analysis, each of the two original samples is analyzed separately before comparing their means. This statement is false. In a matched pairs analysis, you are specifically interested in the difference between the pairs of observations, so you do not analyze the two original samples separately.
IV. In a matched pairs analysis, you start with two sets of observations on a single variable. This statement is also false. In a matched pairs analysis, you start with a single set of paired observations, rather than two separate sets of observations.
Therefore, the statements that are true about matched pair analysis are "I and II only."
The correct answer is: I, II, and IV only.
In a matched pairs analysis:
- Statement I is true. You use a single-sample procedure where the sample is made up of the difference between pairs of observations.
- Statement II is true. The two original samples are dependent on each other because the pairs are matched or related in some way.
- Statement III is false. In a matched pairs analysis, you compare the means of the two original samples directly, without analyzing them separately.
- Statement IV is true. You start with two sets of observations on a single variable where the pairs are matched or related in some way.