In: Statistics and Probability
Researchers identified a number of new undergraduate students who said they suffered from “examination panic” and they felt they were not performing as well as they could on timed examinations. Researchers decided to conduct an experiment and randomly divided the students into three equal groups that would carry out a timed test as part of one of three treatment programs: one to undergo therapy sessions before the test day; the second to receive the tranquilizer just before the test; and the third to receive a placebo (a sugar tablet) just before the test. When the results were collected, it was found that the distributions of scores were highly irregular, neither normal nor showing homogeneity of variance; therefore a one-way ANOVA was not appropriate. Using the students data set, conduct a Kruskal-Wallis test. Show all the hypothesis testing steps. Write the results in APA format and include a copy of the SPSS output.
The assumptions for this test are:
1. All the samples are independent and randomly selected.
2. Each sample has at least 5 observations.
3. The k probability distributions are continuous.
4. The data is not normally distributed
Student Data.
Scores | Groups |
70 | 1 |
64 | 1 |
63 | 1 |
57 | 1 |
55 | 1 |
51 | 1 |
44 | 1 |
42 | 1 |
80 | 2 |
79 | 2 |
74 | 2 |
67 | 2 |
57 | 2 |
54 | 2 |
52 | 2 |
42 | 2 |
48 | 3 |
46 | 3 |
45 | 3 |
40 | 3 |
38 | 3 |
34 | 3 |
27 | 3 |
21 | 3 |