Name factors and levels that might be used in a three-factor, full factorial stu
ID: 3201990 • Letter: N
Question
Name factors and levels that might be used in a three-factor, full factorial study in this situation. Also name two response variables for the study. Suppose that in accord with good engineering data collection practice, you wish to include replication in the study. Make up a data collection sheet, listing all the combinations of levels of the factors to be included, and include blanks where the corresponding observed values of the two responses could be entered for each experimental run. Suppose that it is feasible to make the runs listed in your answer to part a) in a completely randomized order. Use a mechanical method (like slips of paper in a hat) to arrive at a random order of experimentation for your study. Carefully describe the physical steps you follow in developing this order for data collection.Explanation / Answer
Answer
3-factor, 2-level Experiment
Factors (training methods)
1. Class room training
2. On-line training
3. On-line study material (but no training) combined with on-line tests
Levels (duration of engagement - hours per day, 5 days a week)
1. 2 hours
2. 4 hours
Assign at random 2 students from a homogenised group to each factor-level combination. For each factor-level combination extend the study for the same number of weeks, pre-fixed. To ensire homogenised group of students, the group must be from the same standard,give them a diagnostic test, same for all stuydents, and only those score above a pre-fixed mark are eligible for inclusion in the group.
Thus, 3x2x2 = 12 students are to be randomly assigned to various factor-level combinations. For the group of eligible students, arrange the students in the ascending order of their score and obtain the average score in the diagnostic test. Pick 6 students whose scores are consecutively just to the left of the average score and 6 students whose scores are consecutively just to the right of the average score. Mark numbers 111, 112, 121, 122, 211, 112, 221, 222,211, 212, 221, 222 on 12 blank cards, shuffle the cards and ask each student to pick a card, ensuring shuffling after every pick. Based on the number on the card picked by a student, assign the student to the designed factor-level combination - left-most digit refers to the factor and the middle digit refers to the level.
At the end of the pre-fixed training period, administer a common test on all the assigned students with no time limit for completion..Note the time taken by each student to complete the test and evaluate the score of each student. Time to complete and score in the test are the two response variables.
Run an ANOVA separately on the two variables and draw conclusions based on the results ANOVA.
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