Question

1. A researcher wants to know if children will learn to read more quickly based on how their parents approach training them. One group of parents thinks that children learn more quickly if privileges are taken away for not reading. A second group of parents thinks that rewards for reading, while a third group of people think that a combination of removal of privileges and rewards for success will inspire greater reading. To test this, the researcher tests a single group of 8 subjects, who participate in each of the three motivational programs for one week and records the number of books read at the end of each week; those data are summarized below.

	Type of Stimulus
Subject	Removal	Reward	Removal+Reward
1	5	6	14
2	2	4	6
3	3	4	5
4	8	10	12
5	4	5	8
6	4	2	7
7	6	5	9
8	6	3	11

a. Conduct an ANOVA to examine whether there are differences in the motivation strategies on the number of books children read. (6 points

2. From these analyses, what do we know about the effects of type of training on children’s ability to read? Be sure to include a discussion of the critical value in your answer (1.5 points)

Answer 1

Solution:

a) I have used excel to perform the ANOVA.

Subject	Removal	Reward	Removal+Reward
1	5	6	14
2	2	4	6
3	3	4	5
4	8	10	12
5	4	5	8
6	4	2	7
7	6	5	9
8	6	3	11

Anova: Single Factor

SUMMARY
Groups	Count	Sum	Average	Variance
Removal	8	38	4.75	3.642857
Reward	8	39	4.875	5.839286
Removal+Reward	8	72	9	9.714286

ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	93.58333333	2	46.79166667	7.312558	0.003889	3.4668
Within Groups	134.375	21	6.398809524
Total	227.9583333	23

From the above table, we can observe that F observed value=7.312558 is greater than F crit value=3.4668, we reject the null hypothesis.

Therefore, there are differences in the motivation strategies on the number of books children read.