Question

Dr. Lightman, a psychologist at a private mental hospital was asked to determine whether there was any clear difference in attitudes of smoking for different categories of diagnosis. Each patient was asked about their attitudes toward smoking on a 7-point likert scale (1 = never a good reason for smoking, 7 = always a good reason for smoking). Due to only 7 patients in each category, Dr. Lightman set the alpha value at .10

Diagnosis	Category
Emotional	Cognitive	Drug Related
3	1	6
5	4	7
2	5	4
5	2	4
4	4	6
6	2	5
3	3	3

What is the result of step 5?

Answer 1

We have used MINITAB software to answer this question

to test

H0 : all 3 category has same mean

vs

H1: atleast one category has different from others.

we will run one way ANOVA model here to get the testing done

the MINITAB output for ANOVA is

we can see the p-value for test is 0.052 < 0.10 significance level.

hence we can say that the mean of all group is significantly different. precisely 2 and 3rd group are differes significantly

here group1=Emotional

group2= Congnitive

group3=drug related