Selecting an Experimental Design

AP Statistics· difficulty 3/5

A researcher considers two designs to compare a new and old textbook. Design 1: randomly assign 40 students to each book. Design 2: pair up students by GPA and randomly assign one in each pair to each book.

Design 1: CRD 80 students New (40) Old (40) Design 2: Matched pairs Pair by GPA, 40 pairs New per pair Old per pair Pairing controls GPA variability

Why might Design 2 be preferred when GPA strongly predicts test scores?

  • A

    Design 1 has fewer experimental units

  • B

    Design 2 eliminates the need for randomization

  • C

    Design 2 (matched pairs) controls for the variability due to GPA

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  • D

    Design 1 cannot use random assignment

Explanation

Pairing on GPA removes its variability from the comparison, making it easier to detect a true textbook effect. Matched pairs is essentially blocking with pairs.

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