Question

2. Researchers are interested in testing the effectiveness of their new therapy technique (Explosive
Therapy) by comparing it to a standard therapy technique (Cognitive Redecorating), a controversial newer
treatment (Ludovico) and a no-treatment (wait list) control. Twelve clients are randomly assigned to the
three groups. Blind raters evaluate the “mental health” using a validated instrument yielding scores from 0
to 10, where 0 indicates very poor mental health and 10 represents very good mental health. Perform an
ANOVA on these data.
Perform appropriate follow-up test(s) to test for significant differences and include conclusions regarding
the effectiveness of the therapy(ies).
Use paper and pencil to calculate the statistics.

Wait List: 2 4 6

Cog. Red.: 4 8 6

Ludovico: 10 6 8

Explosive: 8 10 12

Answer 1

Answer:-

Given That:-

2. Researchers are interested in testing the effectiveness of their new therapy technique (Explosive Therapy) by comparing it to a standard therapy technique (Cognitive Redecorating), a controversial newer treatment (Ludovico) and a no-treatment (wait list) control. Twelve clients are randomly assigned to the three groups. Blind raters evaluate the “mental health” using a validated instrument yielding scores from 0 to 10, where 0 indicates very poor mental health and 10 represents very good mental health. Perform an ANOVA on these data.

Given,

	Wailist	Cog.Red	Ludovico	Explosive
Sample	2,4,6	4,8,6	10,6,8	8,10,12
Sum	12	18	24	30
Mean	4	6	8	10
	56	116	200	308
Std.dev	2	2	2	2
SS	8	8	8	8
n	3	3	3	3

Total sample size = 12

and

Total sum :

= 12 + 18 + 24 + 30 = 84

Sum of squares :

= 56 + 116 + 200 + 308 = 680

= 60/3

= 20

= 32/8

= 4

= 20/4

= 5

For ANOVA

versus

Not all means r equal

at

So,

we reject

or can say that

Not all means are equal or all 4 therapies are not same or atleast 1 of the 4 therapies is significantly different.

Fost Hoc : For 2 groups A & B are diff if

Here MSE =

= 2

Now,

treat A	treat B		Criteria	Conclusion
Wait list	Cog Red	2		Not different
Wait list	Ludovico	4		Not different
Wait list	Explosive	6		Sig.different
Cog Red	Ludovico	2		Not different
Cog Red	Explosive	4		Not different
Ludovico	Explosive	2		Not different

So, treatments 'Wait list' & 'Explosive' are 'Sig.different'

So, Explosive Therapy is only different or effective over therapy & not any other treatments.

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