Question

A clinical psychologist has run a between-subjects experiment comparing two treatments for depression (cognitive-behavioral therapy (CBT) and client-centered therapy (CCT) against a control condition. Subjects were randomly assigned to the experimental condition. After 12 weeks, the subject’s depression scores were measured using the CESD depression scale. The data are summarized as follows:

Using the following data, perform a oneway analysis of variance using α=.05

Sample 1 cognitive-behavioral therapy (CBT	Sample 2 Client-centered therapy (CCT)	Sample 3 Control Group
M = 2 n = 10 T = 20 s2 = 2.67	M = 3 n = 10 T = 30 s2 = 2.00	M = 4 n = 10 T = 40 s2 = 1.33

Use an ANOVA with α= .05 to determine whether there are any significant differences among the three therapy methods.

1. Calculate the SS for each group using this formula: S² = S S d f

(Cross multiply to solve for SS)

Group of answer choices

A)SS₁ = 30.5, SS₂ = 12, SS₃ = 9.67

B)SS₁ = 13.09, SS₂ = 32, SS₃ = 21.08

C)SS₁ = 24.03, SS₂ = 18, SS₃ = 11.97

A clinical psychologist has run a between-subjects experiment comparing two treatments for depression (cognitive-behavioral therapy (CBT) and client-centered therapy (CCT) against a control condition. Subjects were randomly assigned to the experimental condition. After 12 weeks, the subject’s depression scores were measured using the CESD depression scale. The data are summarized as follows:

Using the following data, perform a oneway analysis of variance using α=.05

Write up the results in APA format.

Sample 1 cognitive-behavioral therapy (CBT	Sample 2 Client-centered therapy (CCT)	Sample 3 Control Group
M = 2 n = 10 T = 20 s2 = 2.67	M = 3 n = 10 T = 30 s2 = 2.00	M = 4 n = 10 T = 40 s2 = 1.33

Use an ANOVA with α= .05 to determine whether there are any significant differences among the three therapy methods.

2. Calculate the SS_within and the SS_between

A. Use the alternative formula for SS_between =   ∑T 2 n- G 2 N

B. SS_within = ∑ S S

Group of answer choices

A.)SSwithin = 4 and SSbetween = 2

B.)SSwithin = 22 and SSbetween = 12

C.)SSwithin = 34 and SSbetween = 10

D.)SSwithin = 54 and SSbetween = 20

A clinical psychologist has run a between-subjects experiment comparing two treatments for depression (cognitive-behavioral therapy (CBT) and client-centered therapy (CCT) against a control condition. Subjects were randomly assigned to the experimental condition. After 12 weeks, the subject’s depression scores were measured using the CESD depression scale. The data are summarized as follows:

Using the following data, perform a oneway analysis of variance using α=.05

Write up the results in APA format.

Sample 1 cognitive-behavioral therapy (CBT	Sample 2 Client-centered therapy (CCT)	Sample 3 Control Group
M = 2 n = 10 T = 20 s2 = 2.67	M = 3 n = 10 T = 30 s2 = 2.00	M = 4 n = 10 T = 40 s2 = 1.33

Use an ANOVA with α= .05 to determine whether there are any significant differences among the three therapy methods.

3. Calculate the MS values

MS_Within = S S w i t h i n d f w i t h i n

MS_between =  S S b e t w e e n d f b e t w e e n

Group of answer choices

A.)MSWithin = 2, MSbetween = 10

B.)MSWithin = 15, MSbetween = 3.9

C.)MSWithin = 11, MSbetween = 2.22

D.)MSWithin = 2, MSbetween = 7.22

A clinical psychologist has run a between-subjects experiment comparing two treatments for depression (cognitive-behavioral therapy (CBT) and client-centered therapy (CCT) against a control condition. Subjects were randomly assigned to the experimental condition. After 12 weeks, the subject’s depression scores were measured using the CESD depression scale. The data are summarized as follows:

Using the following data, perform a oneway analysis of variance using α=.05

Write up the results in APA format.

Sample 1 cognitive-behavioral therapy (CBT	Sample 2 Client-centered therapy (CCT)	Sample 3 Control Group
M = 2 n = 10 T = 20 s2 = 2.67	M = 3 n = 10 T = 30 s2 = 2.00	M = 4 n = 10 T = 40 s2 = 1.33

Use an ANOVA with α= .05 to determine whether there are any significant differences among the three therapy methods.

4. Compute the F statistics

M S b e t w e e n M S w i t h i n

Group of answer choices

A.)F = .23

B.)F = 5

C.)F = .02

D.)F = .23

Compare the F statistic to the F critical

Make a decision:

Group of answer choices

A.)Reject the Null

Possible Type I Error

B.)Reject the Null.

Possible Type Ii Error

C.)Fail to Reject the Null.

Possible Type I Error

D.)Reject the Null.

Source	SS	df	MS
Between treatments		?		F =
Within treatments		?
Total		?

Group of answer choices

A.)df_{between= 7}

df_within = 28

df_total = 22

F = 2.13

B.)df_{between= 2}

df_within = 32

df_total = 27

F = 3.14

C.)dfbetween = 2

dfwithin = 27

dftotal = 29

Possible Type II Error

Answer 1