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1. Which of the following is NOT true about matched pairs design.

A) When pairing is effective, differences between pairs tend to be mainly due to the explanatory variables.

B) Comparing paired data accounts for some of the variability in the data making it easier to detect differences in the response variable.

C) Paired data ideally will give a smaller margin of error than independent groups data.

D) When analyzing matched pairs data, it is acceptable to use the independent groups

methods.

Suppose a mathematics education researcher wanted to know if in class activities improved students’ learning compared to traditional lecture only. 28 students were paired with 28 other students with similar GPA, Year in school, and academic major. All were randomly selected from the current MSU student population. One student from each pair was randomly assigned to either the Group Activities with Some Lecture class or the Lecture Only class of M121 (College Algebra). At the end of the semester, students’ final exam scores were recorded and teaching methods were compared.

a) What is the response variable? Is it categorical or quantitative?

b) What is the explanatory variable? Is it categorical or quantitative?

c) Which best describes the study design? Circle one.

1.Paired design using matching

2. Paired design using repeated measures

3. Independent groups

d) Explain why you chose the study design above.

e) TRUE or FALSE: The sample size for this study is 28 pairs.

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