An experiment was done to test whether one type of anti-anxiety medication would

Question

An experiment was done to test whether one type of anti-anxiety medication would have a greater effect on the number of panic attacks a person with panic disorder had in a month than another type of anxiety medication. Specifically, the researchers was interested in determining whether there would be a mean difference in panic attacks per month among a) a new anti-anxiety medication called Buspar, b) the standard anti-anxiety medication called Ativan, and c) a placebo. There were three samples of participants, and participants were randomly assigned to one of the three treatment conditions (Buspar, Ativan, and placebo). Assume an alpha of .05 and a two-tailed test.

Placebo                  Buspar                   Ativan

M1 = 11.3               M2= 10.3                M3= 8.5   

n1 = 10                     n2 = 10                     n3 = 10                     N =

T1 = 113                 T2 = 103                 T3 = 85                    G =

SS1=69.20              SS2= 23.30             SS3=45.50              X2 = 3439

1. What statistical test should you use to evaluate the hypothesis above? Be specific. (1 pt)

a. two-way independent ANOVA

b. Pearson- Product Moment correlation

c. simple linear regression

d. one-way independent ANOVA

2. State the hypotheses in words and notation. If it is not possible to write it in notation form, then be sure to indicate that. (2 pts)

Null hypothesis (words): _______________________________________________________________

Null (notation): ____________________

Alternative hypothesis (words): __________________________________________________________

Alternative (notation): ___________________

3. Find the critical value = _______ (1 pt)

a. 3.35

b. 3.34

c. 4.21

d. 2.93

4. What is N above? ____________ (1 pt)

a. 10

b. 15

c. 30

d. 30.1

5. What is G above? ____________ (1 pt)   

a. 301

b. 138

c. 30.1

6. Calculate and record the Sum of Squares and complete the Summary Table below. (3 pts)

SSBetween

SSWithin

SSTtotal

SS                               df                                MS                             F                                

Between Treatments                       ____                            ____                            _____                          ______

Within Treatments                            ____                            ____                            _____       

Total ____                            ____         

7. Do you reject H0? (1 pt)

a. yes

b. no

8. State your conclusion in terms of the study. Be sure to say what test you use, include the appropriate statistics, and write it in APA style. (2 pts)

Explanation / Answer

1. Correct answer: (d). one-way independent ANOVA

2. H0: There is no significance difference among the three treatment conditions (Buspar, Ativan, and placebo).

H1: There is significance difference among the three treatment conditions (Buspar, Ativan, and placebo).

3. Critical value = 3.54

Correct answer: Option (A)

4. 4. What is N above 30

Correct answer: option (C)

5. Grand Total G= 301

Correct answer: option (a)

6.

Between groups 40.2666

Within groups 138

Total 178.2666

7. Here F value > F critical value so we reject H0

Correct answer: a) Yes

8. we conclude that  there is significance difference among the three treatment conditions (Buspar, Ativan, and placebo).

ANOVA Table Alpha = 0.05 Sum of Mean sum of Source df Squares Square F-Ratio F-crit P-Value Between groups 2 40.2666 20.1333 3.9391 3.354131 0.031545 Within groups 27 138 5.11111 Total 29 178.2666

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