Question

In: Statistics and Probability

A university wants to determine if students from different majors are equally likely to be cited...

A university wants to determine if students from different majors are equally likely to be cited for academic dishonesty. They average instances of documented cheating across 10 years for three different academic majors and find the following results: Business Administration (M = 5.1; N = 10), Fine Art (M = 1.9; N = 10), and Nursing (M = 3.2; N = 10). They also calculated the between-group and within-group sum of squares (SSB = 301.6; SSW =1343.8). Use a one-way ANOVA (where α = .01) to determine if there are significant differences in cheating rates by major.

  1. Identify the alternative hypothesis (F tests are always nondirectional)
  2. List your degrees of freedom (within)
  3. List your degrees of freedom (between)
  4. List your mean squares between groups
  5. List your mean squares within groups
  6. List your F test statistic
  7. List your critical F value(s)
  8. Are there statistically significant differences in cheating between majors? (Yes/No)
  9. Calculate partial eta-squared (η2) for the effect of major on cheating rates (list as decimal, 0.xx)
  10. Calculate Tukey’s HSD
  11. Use Tukey’s HSD to determine if the difference in cheating rates between Business Administration majors and Fine Art    majors is statistically significant (Yes/No)

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