Question

You are the new Defense Against the Dark Arts professor at the Hogwarts School of Witchcraft and Wizardry. You are a member of one of the four Houses yourself (Gryffindor, Slytherin, Ravenclaw, or Hufflepuff) and you think that students in your House are better than students in any of the other Houses. But you want to conduct an experiment to know for sure. So you set up a giant obstacle course that your students have to get through. The number of monsters the students defeat before breaking down in tears is your dependent variable and House membership is your factor.

Gryffindor: M = 4, SD = 1 Slytherin: M = 5.5, SD = 1.29 Ravenclaw: M = 3.67, SD = 2.08. Hufflepuff: M = 3.5, SD = 1.29.

Here is the ANOVA summary table:

Source	SS	df	MS
Between	9.6905	3	3.2302	F(3, 10) = 1.56
Within	20.6667	10	2.0667
Total	30.3571	13	--

21. Make a decision regarding the null hypothesis and state whether House membership affects the number of monsters defeated (you’ll need to find F-critical first).

22. Would you conduct post-hoc tests on these data? Why or why not?

Answer 1

2.1)

F-critical = 3.71

F stat = 1.56

F stat < f critical , do not reject Ho

so, house membership do not effect the number of monster defeated

.................

2.2)

no need of conducting post hoc test

as there is no difference between groups

post hoc test is done to know where the differences lie

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