Question

cenario

Certified Behavior Analysts claim that their procedures are more effective than any other.  Their procedures are clear-cut analytics that anyone can learn and apply. It’s not an art they proclaim, but a science.  You decide to put it to test.  You interview and survey the parents of autistic kids, loved ones of the depressed, and former sufferers of phobias, who had been treated with Behavior Therapy, Drug Therapy, and Play Therapy.  Your survey generates a score from 1-100 with higher values indicating greater effectiveness of the therapy and 85 and above indicates complete resolution of the problem.  

            Behavior Therapy                   Drug Therapy              Play Therapy

            58, 65, 71, 59,                         59, 68, 32, 44              58, 61, 50, 60

            81, 74, 83, 63                          38, 41, 30, 51              64, 62, 85, 57

Instructions:

1. Using the above data calculate the one-way analysis of variance in JASP. Report the F-ratio in APA style, including the p-value and eta-squared (treatment magnitude).

2. If the one-way ANOVA shows a significant difference among the groups, then calculate post hoc test to determine which groups are different – be sure you compare each group to each other group. Report the significant differences among the groups. If the one-way ANOVA does not show a significant difference, then state no difference.  

3. Calculate the mean and standard deviations for all three groups and report in an APA table. You may use the one generated by JASP.

4. Write a short APA summary of your conclusions. Make sure to use the data to support conclusions.

Answer 1

1.

Source	SS	df	MS	F	p-value	eta-squared
Treatment	2,403.58	2	1,201.792	9.77	.0010	0.48
Error	2,584.25	21	123.060
Total	4,987.83	23

2. The hypothesis being tested is:

H0: µ1 = µ2 = µ3

Ha: Not all means are equal

The p-value is 0.0010.

Since the p-value (0.0010) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a significant difference among the groups.

		Drug Therapy	Play Therapy	Behavior Therapy
		45.4	62.1	69.3
Drug Therapy	45.4
Play Therapy	62.1	.0065
Behavior Therapy	69.3	.0003	.2129

There is a significant difference between Behavior Therapy and Drug Therapy.

There is a significant difference between Play Therapy and Drug Therapy.

3.

Mean	n	Std. Dev
69.3	8	9.57	Behavior Therapy
45.4	8	13.20	Drug Therapy
62.1	8	10.16	Play Therapy
58.9	24	14.73	Total

4. There is a significant difference among the groups.

There is a significant difference between Behavior Therapy and Drug Therapy.

There is a significant difference between Play Therapy and Drug Therapy.

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