In: Statistics and Probability
What is the single best type of statistical analysis (including the # of tails, if applicable) to use in each of the following, and WHY ?
-Do more people own more pairs of workout shoes than dress shoes?
-is gender related to college major selection?
-do student grades differ across exams 1, 2, and 3 in a social psychology class?
- does gender and /or relationship status affect life happiness ratings?
-are depression scores lower after therapy than before therapy?
-Do more people own more pairs of workout shoes than dress shoes?
The variable under consideration is number of workout shoes and dress shoes
Hypothesis is proportion of workout shoes is more than dress shoes.
Data is nominal data.
It is one tailed test because hypothesis is whether proportion is more
Z test of proportions
-is gender related to college major selection?
Hypothesis being test is relation of gender and major selection( selection can be more than 2 alternatives).
It is two tailed test since it is independent or not independent.
Test is Chi square independence of test.
Data is nominal data
-do student grades differ across exams 1, 2, and 3 in a social psychology class?
Grades of more than one class is being tested.
Anova test
It is two tailed test.
- does gender and /or relationship status affect life happiness ratings?
Test of mean.
Mean of happiness rating of male and females is being tested
It is z test of two samples in case of large sample or t test of two samples in case of small samples
-are depression scores lower after therapy than before therapy?
It is matched paired t test. It is one tailed test since hypothesis tested is if scores have lowered.