firm is trying to higher new management trainees. After the preliminary interview the potential trainees are ranked into four (4) groups: Poor, Fair, Good and Excellent. The firm then administers three computer-based aptitude tests to evaluate the Verbal Ability, Data Interpretation and Problem Solving of the prospective management trainee. The candidates are allowed to take each test twice and the higher grade is reported. The scores obtained are listed in the following table: (d) Using R-Studio, derive the analysis of variance table. Ensure that you provide the code used and relevant output tables. (e) State the null hypothesis(es), the decision rule for α = 0.05 and make the decision for each hypothesis. (f) Using R-Studio, carry out relevant tests to determine if the assumptions of the ANOVA analysis were violated. Carefully discuss your findings quoting relevant statistics. (Provide the code used and relevant output tables.)
A firm is trying to higher new management trainees. After the preliminary interview
the potential trainees are ranked into four (4) groups: Poor, Fair, Good and
Excellent. The firm then administers three computer-based aptitude tests to
evaluate the Verbal Ability, Data Interpretation and Problem Solving of the
prospective management trainee. The candidates are allowed to take each test twice
and the higher grade is reported. The scores obtained are listed in the following
table:
(d) Using R-Studio, derive the analysis of variance table. Ensure that you provide the code used and relevant output tables.
(e) State the null hypothesis(es), the decision rule for α = 0.05 and make the decision for each hypothesis.
(f) Using R-Studio, carry out relevant tests to determine if the assumptions of the ANOVA analysis were violated. Carefully discuss your findings quoting relevant statistics. (Provide the code used and relevant output tables.)
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