Which of the following statements is not true about samples that can be treated as matched pairs data?

I. Data collected on these samples is analyzed by calculating the differences between paired observations and using that data in one sample tests.

II. Each value in the first group of numbers has a relationship to a value in the second group.

III. It's best to analyze related samples by conducting hypothesis tests on the mean from the first and the second groups, in that order.



II only

II and III only

I, II, and III

I and III only

III only

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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

To answer these questions, we need to understand the concept of matched pairs data analysis.

Matched pairs data analysis involves comparing two sets of observations that are dependent or have a relationship to each other. The goal is to determine if there is a significant difference between the two groups.

For the first question, let's analyze each statement:

I. Data collected on these samples is analyzed by calculating the differences between paired observations and using that data in one sample tests.
This statement is true. In matched pairs analysis, we calculate the differences between paired observations and then conduct hypothesis tests using the differences.

II. Each value in the first group of numbers has a relationship to a value in the second group.
This statement is also true. Matched pairs analysis involves comparing observations that have a relationship, such as pre-test and post-test measurements or measurements taken on the same subjects.

III. It's best to analyze related samples by conducting hypothesis tests on the mean from the first and the second groups, in that order.
This statement is false. In matched pairs analysis, we analyze the differences between the paired observations, not the means of the first and second groups separately.

Therefore, the statement that is not true about samples that can be treated as matched pairs data is III. Hence, the answer is "III only."

For the second question, let's analyze each statement:

I. In a matched pair analysis, you use a single-sample procedure. The sample is made up of the difference between pairs of observations.
This statement is true. In matched pairs analysis, we compare the differences between the paired observations with a theoretical expectation or a fixed value.

II. In a matched pairs analysis, the two original samples are said to be dependent on each other.
This statement is also true. Matched pairs analysis involves dependent samples, where the values in one group are related to the values in the other group.

III. In a matched pairs analysis, each of the two original samples is analyzed separately before comparing their means.
This statement is false. In matched pairs analysis, we analyze the differences between the paired observations, not the means of 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 true. Matched pairs analysis involves comparing two sets of observations on a single variable, where the observations are paired or dependent.

Therefore, the statements that are true about matched pairs analysis are I, II, and IV. Hence, the answer is "I, II, and IV only."