ΑΤΑ statistics thinks that the for of the conferences and the timing of the assignments may affect students assignment marks (out of 10). He decided to design three conferences with a different format: (1) with lecturing, (2) wit demonstrating problems, and (3) with involving students in active problem-solving. Twelve students attended one of th conferences (four in each format) and asked to submit their assignments at week 3. Another twelve students attended one of the conferences but asked to submit their assignments at week 5. The data are tabled below: Assignment Week 3 Week 5 Lecture 6,7,5,7 5,5,4,5 Format Demo problems 7,8,8,9 6,7,7,6 Active problems 9,10,10,10 8,9,9,10 Note: ΣΣΣx=1385 Perform the ANOVA test and table the results, stating all critical values. State and explain what should be the follow-up analysis after the overall F-test if any (NO calculation but just explain).

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A TA in statistics thinks that the format of the conferences and the timing of the assignments may affect students'
assignment marks (out of 10). He decided to design three conferences with a different format: (1) with lecturing, (2) with
demonstrating problems, and (3) with involving students in active problem-solving. Twelve students attended one of the
conferences (four in each format) and asked to submit their assignments at week 3. Another twelve students attended
one of the conferences but asked to submit their assignments at week 5. The data are tabled below:
Assignment Week 3
Week 5
Lecture
6,7,5,7
5,5,4,5
Format
Demo problems
7,8,8,9
6,7,7,6
Active problems
9,10,10,10
8,9,9,10
Note: ΣΣΣx=1385
Perform the ANOVA test and table the results, stating all critical values. State and explain what should be the follow-up
analysis after the overall F-test if any (NO calculation but just explain).
Transcribed Image Text:A TA in statistics thinks that the format of the conferences and the timing of the assignments may affect students' assignment marks (out of 10). He decided to design three conferences with a different format: (1) with lecturing, (2) with demonstrating problems, and (3) with involving students in active problem-solving. Twelve students attended one of the conferences (four in each format) and asked to submit their assignments at week 3. Another twelve students attended one of the conferences but asked to submit their assignments at week 5. The data are tabled below: Assignment Week 3 Week 5 Lecture 6,7,5,7 5,5,4,5 Format Demo problems 7,8,8,9 6,7,7,6 Active problems 9,10,10,10 8,9,9,10 Note: ΣΣΣx=1385 Perform the ANOVA test and table the results, stating all critical values. State and explain what should be the follow-up analysis after the overall F-test if any (NO calculation but just explain).
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