Question

List the appropriate post hoc test (or tests if more than one is suitable) for each scenario described:

• Weight gained by students dining at three different cafeterias over a six-month period
• Weight loss by students attending four different campus gym locations over a three-month period
• Planned comparisons of pre-med students’ average organic chemistry test scores across four different colleges, one of which is a state school, while the others are private schools
• Sleep quality measured in minutes, by students using two different types of pillows

Answer 1

Since the first three scenarios will require One-Way ANOVA hence Bonferroni Test, Fisher’s Least Significant Difference test, and Tukey’s Test can be used for post hoc analysis.

• Weight gained by students dining at three different cafeterias over a six-month period – Bonferroni Test, Fisher’s Least Significant Difference test, and Tukey’s Test
• Weight loss by students attending four different campus gym locations over a three-month period - Bonferroni Test, Fisher’s Least Significant Difference test, and Tukey’s Test
• Planned comparisons of pre-med students’ average organic chemistry test scores across four different colleges, one of which is a state school, while the others are private schools - Bonferroni Test, Fisher’s Least Significant Difference test, and Tukey’s Test

Sleep quality measured in minutes, by students using two different types of pillows – In this case, the post hoc test will not be required because only two groups will be compared. A t test or Z test will be used to make a comparison between sleep quality times.