Question

(1) A researcher measures the time it takes eight participants to complete three successive tasks. What are the degrees of freedom between-persons for a one-way within-subjects ANOVA?

(a) 2

(b) 7    

(c) 14

(d) There is not enough information to answer this question.

(2) If ?² = 3.84 and n = 36, then what is the value of r?

(a) 0.11

(b) 0.16    

(c) 0.33

(d) 0.36

(3) A researcher asks participants to taste each of three meals and to choose the one they like best. The same foods are in each meal, however the calorie total of each meal is different. One is low in calories, one is moderate in calories and one is high in calories. Based on the observed frequencies given below, what is an appropriate conclusion for this test at a .05 level of significance?

	Type of Meal
	Low Calorie	Moderate Calorie	High Calorie
fo	6	7	17
fe	10	10	10

(a) Participants liked the high calorie meal more than the low calorie meal.

(b) Participants liked the low calorie meal less than the moderate calorie meal.    

(c) Participants liked the high calorie meal more than was expected.

(d) All of the above

Answer 1

Ans:

1) Degrees of freedom between-persons for a one-way within-subjects ANOVA are the degrees of freedom associated with the variance of person means averaged across groups. They are equal to the number of participants (n) minus 1.

number of participants=8

df(between persons)=8-1=7

So,correct option b(7)

2)

r=SQRT(3.84/36)

r=0.33

Option c is correct.

3)

	fo	fe	(fo-fe)^2/fe
low	6	10	1.6
moderate	7	10	0.9
high	17	10	4.9
Total	30	30	7.4

test statistic:

chi square score=7.4

DF=3-1=2

critical chi square=CHIINV(0.05,2)=5.99

As,test statistic is larger than critical chi square,so we reject null hypothesis.

Participants liked the high calorie meal more than was expected.