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
I would say "3 only" in the first one, and "1,2,& 4 only" in the second one. Check this!
"It's best to analyze related samples by conducting hypothesis tests on the mean from the first and the second groups, in that order" is not true, so the answer is D III only
On the second all of them except the samples being analyzed separately are true so- I, II, and IV only.
:)
For the first question, the statement that is not true about samples that can be treated as matched pairs data is:
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.
So the correct answer is: III only.
For the second question, the statements that are true about matched pairs analysis are:
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.
IV. In a matched pairs analysis you start with two sets of observations on a single variable.
So the correct answer is: I, II, and IV only.
To determine which statement is not true about samples that can be treated as matched pairs data, we can analyze each statement individually:
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. When analyzing matched pairs data, we calculate the differences between paired observations and use 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.
- This statement is true. In matched pairs data, each value in the first group of numbers is related to a value in the second group. For example, if we are comparing the weight of individuals before and after a weight loss program, each individual's weight in the first group is related to their weight 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.
- This statement is not true. When analyzing matched pairs data, we typically conduct hypothesis tests on the mean of the paired differences, not on the means of the first and second groups separately.
Based on the analysis above, the statement that is not true about samples that can be treated as matched pairs data is statement III. Therefore, the correct answer is "III only."
For the second question regarding matched pairs analysis, we can analyze each statement individually:
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 use a single-sample procedure where the sample data consists of the differences between pairs of observations.
II. In a matched pairs analysis, the two original samples are said to be dependent on each other.
- This statement is true. The two original samples in matched pairs analysis are dependent on each other because they are linked or related through the pairing of observations.
III. In a matched pairs analysis, each of the two original samples is analyzed separately before comparing their means.
- This statement is not true. In matched pairs analysis, we do not analyze the two original samples separately. Instead, we focus on the differences between paired observations and compare the means of those differences.
IV. In a matched pairs analysis, you start with two sets of observations on a single variable.
- This statement is true. In matched pairs analysis, we start with two sets of observations on a single variable, where each observation in one set corresponds to a specific observation in the other set.
Based on the analysis above, the statements that are true about matched pairs analysis are II and IV. Therefore, the correct answer is "II and IV only."