Question

Problem I. An experiment was done with 30 participants to test the effect of the type of attachment style that one has (i.e., secure, anxious, or avoidant) on how long one (in years) is married to her/his spouse. Higher scores below indicate a greater number of years. Use an alpha level of .05 (p = .05).

              

Secure                  Anxious               Avoidant

               M₁ = 10                M₂ = 9                  M₃= 5                   k =

                              n₁ = 10                  n₂ = 10                  n₃ = 10                  N =

                              T₁ = 100 T₂ = 90                 T₃ = 50                 G =

                              SS₁=60                 SS₂= 110              SS₃= 70                ∑X² = 2300

1. What statistical test should you use to evaluate the hypothesis above?

1. one-way independent ANOVA
2. simple linear regression
3. Pearson Product Moment Correlation

2. State the hypotheses in words and notation.

Null hypothesis (words):

Alternative hypothesis (words):

3. What is N, G, and k above?

4. Find the degrees of freedom:

5. Find the critical value:

6. Complete the Summary Table below and calculate the test statistic.

*Note: I won’t be giving you this summary table on the test so be sure to memorize it!

SS                          df                          MS                                                    

Between Treatments                                       

Within Treatments                                          

Total                                                                 

6) Do you reject H₀?

7) State your conclusion in terms of the study—what does it mean? Include the appropriate statistics, including p and dfs, and write it in APA style.

Answer 1

1. The correct answer is Option A. A one way independent ANOVA should be used.

2. There is no significant difference between attachment styles in the number of years in marriage.

M1 = M2 = M3

Alternative hypothesis: There is a significant difference between attachment styles in the number of years in marriage.

The means are not all equal.

3. N is the sample size. G is the sum of all scores. k is the number of groups.

4. The df is 2, 27.

Please post the other questions separately. As per the answering guidelines we are supposed to answer just one question or four sub parts of the same question.