The “name game” Refer to the Journal of Experimental Psychology—Applied (June 2000) study...

The “name game” Refer to the Journal of Experimental Psychology—Applied (June 2000) study in which the “name game” was used to help groups of students learn the names of other students in the group, presented in Exercise.

The “name game.” Refer to the Journal of Experimental Psychology—Applied (June 2000) study in which the “name game” was used to help groups of students learn the names of other students in the group, presented in Exercise. Recall that the “name game” requires the first student in the group to state his or her full name, the second student to say his or her name and the name of the first student, the third student to say his or her name and the names of the first two students, etc. After making their introductions, the students listened to a seminar speaker for 30 minutes. At the end of the seminar, all students were asked to remember the full name of each of the other students in their group, and the researchers measured the proportion of names recalled for each. One goal of the study was to investigate the linear trend between y = proportion of names recalled and x = position (order) of the student during the game. The data (simulated on the basis of summary statistics provided in the research article) for 144 students in the first eight positions are saved in the NAMEGAME2 file. The first five and last five observations in the data set are listed in the table on the next page. [ Note: Since the student in position 1 actually must recall the names of all the other students, he or she is assigned position number 9 in the data set.] Use the method of least squares to estimate the line E(y) = β0 + β1x Interpret the β estimates in the words of the problem.

Based on Morris, P. E., and Fritz, C. O. “The name game: Using retrieval practice to improve the learning of names.” Journal of Experimental Psychology—Applied , Vol. 6, No. 2, June 2000.

Recall that one goal of the studywas to investigate the relationship between proportion y of names recalled by a student and position (order x ) of the student during the game. The data for 144 students in the first eight positions are saved in the NAMEGAME2 file. (The first five and last five observations in the data set are listed below.) A SAS printout follows.

a. To properly apply the parametric test for correlation on the basis of the Pearson coefficient of correlation, r (Section 9.6), both the x and y variables must be normally distributed. Demonstrate that this assumption is violated for these data. What are the consequences of the violation?

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b. Find Spearman’s rank correlation coefficient on the accompanying SAS printout and interpret its value.

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c. Find the observed significance level for testing for zero rank correlation on the SAS printout, and interpret its value.

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d. At α =.05. is there sufficient evidence of rank correlation between proportion y of names recalled by a student and position (order x ) of the student during the game?