Question

You wonder if the province you live in influences how likely to you are to follow medical advice. You select group of 10 people from each of the following provinces: Nova Scotia, Quebec, Ontario, Alberta. You get the following results: (higher numbers indicate more support)

	Nova Scotia	Quebec	Ontario	Alberta
Mean	56.7	54.3	58.6	52.3
St Dev	5.6	4.6	8.3	9.7

a) What is the appropriate test? (2 marks)

b) justify your answer (2 marks)

c) What the independent and dependent variables? (2 marks)

Answer 1

Result:

You wonder if the province you live in influences how likely to you are to follow medical advice. You select group of 10 people from each of the following provinces: Nova Scotia, Quebec, Ontario, Alberta. You get the following results: (higher numbers indicate more support)

	Nova Scotia	Quebec	Ontario	Alberta
Mean	56.7	54.3	58.6	52.3
St Dev	5.6	4.6	8.3	9.7

a) What is the appropriate test? (2 marks)

One way ANOVA is appropriate test.

b) justify your answer (2 marks)

Here 4 group means are compared. . If we conduct multiple t-tests on this data, Type I errors will be increased. We have to keep the pre-set α level in the same value. Therefore One-way analysis of variance is the appropriate method for comparing four group means.

.

c) What the independent and dependent variables? (2 marks)

independent variable: province we live: (Nova Scotia, Quebec, Ontario, Alberta)

dependent variable: following medical advice (score).