A therapist interested in helping individuals with Ophidioph

A therapist interested in helping individuals with Ophidiophobia (fear of snakes). In order to do this, the therapist is going to slowly desensitize the patients to snakes. He needs to find a starting point so he presented a sample of 4 ophidiophobics with snake related stimuli and measured their physiologic response in response to each stimuli (l(not at all afraid) - 20 (extremely afraid)). The data is presented in the table below: Using an a = .01, conduct the appropriate hypothesis test to find if significant differences exist between snake-related stimuli and their effect on physiological response. Show all 4 hypothesis testing steps, and show an ANOVA summary table. Conduct a Tukey\'s HSD test. Write a passage summarizing the results in APA format.

Solution

Sol)

Hypothesis 1

Ho: All the four Treatment means are equal

H1: All the four treatments are not equal

Hypothesis 2:

H0: All the blocks means are equal

H1: All the blocks means are not equal

Level of significance:1%

Test statistic:

Conclusion:

For treatments: F cal =3.93

and P value=0.07 > 0.01, we accept Ho. Hence all the treatment means are equal

For blocks: F cal=21.8

and P value=0.0017<0.01 we reject the Ho.

Hence all the block means are not equal

Anova: Two-Factor Without Replication
SUMMARY	Count	Sum	Average	Variance
1	3	33	11	13
2	3	21	7	25
3	3	18	6	12
4	3	27	9	43
picture	4	16	4	4.666667
plastic	4	31	7.75	10.91667
rubber	4	52	13	6.666667
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Rows	44.25	3	14.75	3.933333	0.072353	4.757063
Columns	163.5	2	81.75	21.8	0.00177	5.143253
Error	22.5	6	3.75
Total	230.25	11