Administrators at ACME High School wanted to know which of four instructional methods for mathematics is best. The four methods were lecture only (L), lectures with remedial textbook assistance (LR), lectures with computer assistance (LC), and computer instruction only (C). At the end of five weeks, the students were given a common exam. The scores on the exams are in the file examscores.csv. 'Student' 'L' 'L/R' 'L/C' 'C' 1 7 5 9 17 2 2 2 12 19 3 2 3 2 26 4 6 11 17 1 5 16 16 12 47 6 11 11 20 27 7 9 3 20 -8 8 0 31 10 9 4 21 20 10 2 (a) Which instructional method results in the highest median score gain? (b) Which method results in the highest mean score gain? (c) Which method has the smallest coefficient of variation? (d) Which method has the largest sample standard deviation? (e) Which test (Hartley’s F-max, Bartlett’s, Levene’s) is most appropriate for checking for equality of variance? (f) Run the test you suggested in part (e). Be sure to state the null and alternative hypotheses, test statistics, p-value, and conclusion. Also, check the assumptions with graphs, Anderson-Darling, etc.
Administrators at ACME High School wanted to know which of four instructional methods for mathematics is best. The four methods were lecture only (L), lectures with remedial textbook assistance (LR), lectures with computer assistance (LC), and computer instruction only (C). At the end of five weeks, the students were given a common exam. The scores on the exams are in the file examscores.csv.
| 'Student' | 'L' | 'L/R' | 'L/C' | 'C' | |
| 1 | 7 | 5 | 9 | 17 | |
| 2 | 2 | 2 | 12 | 19 | |
| 3 | 2 | 3 | 2 | 26 | |
| 4 | 6 | 11 | 17 | 1 | |
| 5 | 16 | 16 | 12 | 47 | |
| 6 | 11 | 11 | 20 | 27 | |
| 7 | 9 | 3 | 20 | -8 | |
| 8 | 0 | 31 | 10 | ||
| 9 | 4 | 21 | 20 | ||
| 10 | 2 | ||||
(a) Which instructional method results in the highest
(b) Which method results in the highest mean score gain?
(c) Which method has the smallest coefficient of variation?
(d) Which method has the largest sample standard deviation?
(e) Which test (Hartley’s F-max, Bartlett’s, Levene’s) is most appropriate for checking for equality of variance?
(f) Run the test you suggested in part (e). Be sure to state the null and alternative hypotheses, test statistics, p-value, and conclusion. Also, check the assumptions with graphs, Anderson-Darling, etc.
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