Preview of Learning Needs

Does a new test of knowledge of computer-related terms (the KLOTZ test) order students in the same way as a standardized test on the same subject matter (the SCHLEIM test)? To answer this question, a researcher has 40 student subjects take each of the two tests and then  lists the results of the two tests side by side for a Pearson r statistic.

Variables:  KLOTZ, SCHLEIM 

STUDENT        KLOTZ     SCHLEIM
    1           122          152
    2           115          116
    3           140          123
    4           144           98
    5           133          123
    6           102          114
    7           128          119
    8           174          200
    9            91          116
    10           77           86

    (data continue)

Answer the following questions:

  1. The researcher is trying to determine the validity of her new test. What kind of validity is she attempting to determine?

  2. Is it necessary to run a Pearson r statistic on these data? Do the data meet the required assumptions of the Pearson r?

  3. What is the independent variable? What is the dependent variable?

  4. Is this problem one-tailed or two-tailed? Explain.

  5. If permissible, calculate the Pearson r and write the result below. (Write something like r = XXX)

  6. Is this result significant, and, if so, what is the probability that it occurred by accident?

  7. If a student were to score a 131 on the KLOTZ test, what would be the estimated score on the SCHLEIM test? Fully explain your estimate.

  8. The match-up between the SCHLEIM test and the KLOTZ test accounts for how much of the data's variability?