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General Instructions: In this assignment, we will be examining 2 One-Way ANOVAs and interpreting the results. As with previous assignments, the Aspelmeier and Pierce text

General Instructions: In this assignment, we will be examining 2 One-Way ANOVAs and interpreting the results. As with previous assignments, the Aspelmeier and Pierce text does a wonderful job of explaining how to actually run the tests in Chapter 8. Follow their instructions for interpreting the SPSS output results I have given you for this assignment.

ANOVA

The researchers want to compare the mean rating of Emotional Support of the groups of where students currently live (1=Dorm, 2=Apartment or House with Peers or Alone, 3=Parents). Also, researchers think that the family composition of the house people grow up in will influence the amount of loyalty females will reported with their closest female friends. As we learned from the text and the PPTs, we know these research situations require the use of the ANOVA. Here are the researchers' hypotheses:

  1. The researchers think that students who live at home will report different levels of emotional support from their closest female friends than those students who live either in the dorms or in an apartment or house with peers or alone.
  2. The researchers also believe that females will report differing levels of loyalty with their closest female friends based on the family composition of the house in which they grew up.

Use the SPSS data to and make conclusions.

Part 1The Analyses

  1. For this assignment, we will need to run 2 One Way ANOVA Tests: one comparing levels of where students currently live and one comparing the family composition of the house in which they grew up. Unlike the last assignment, our groups are already formed.
  2. We also need to run the Tukey multiple comparison procedures.
  3. Additionally, we need to create a graph for each hypothesis.

Hypotheses:

  1. The researchers think that students who live at home will report different levels of emotional support from their closest female friends than those students who live either in the dorms or in an apartment or house with peers or alone.
  2. The researchers also believe that females will report differing levels of loyalty with their closest female friends based on the family composition of the house in which they grew up.

Hypothesis One Output

Descriptives

EmoSupport

N

Mean

Std. Deviation

Std. Error

95% Confidence Interval for Mean

Min

Max

Lower Bound

Upper Bound

Dorm

34

57.44

7.166

1.229

54.94

59.94

37

64

Apartment or House with Peers or Self

34

56.09

7.012

1.203

53.64

58.53

40

64

Parents

32

55.75

10.479

1.852

51.97

59.53

9

64

Total

100

56.44

8.272

.827

54.80

58.08

9

64

Test of Homogeneity of Variances

EmoSupport

Levene Statistic

df1

df2

Sig.

.191

2

97

.827

ANOVA

EmoSupport

Sum of Squares

Df

Mean Square

F

Sig.

Between Groups

53.522

2

26.761

.386

.681

Within Groups

6721.118

97

69.290

Total

6774.640

99

Multiple Comparisons

EmoSupport

Tukey HSD

(I) Where do you live

(J) Where do you live

Mean Difference (I-J)

Std. Error

Sig.

95% Confidence Interval

Lower Bound

Upper Bound

Dorm

Apartment or House with Peers or Self

1.353

2.019

.781

-3.45

6.16

Parents

1.691

2.050

.689

-3.19

6.57

Apartment or House with Peers or Self

Dorm

-1.353

2.019

.781

-6.16

3.45

Parents

.338

2.050

.985

-4.54

5.22

Parents

Dorm

-1.691

2.050

.689

-6.57

3.19

Apartment or House with Peers or Self

-.338

2.050

.985

-5.22

4.54

Hypothesis Two Output:

Descriptives

Loyalty

N

Mean

Std. Deviation

Std. Error

95% Confidence Interval for Mean

Min

Max

Lower Bound

Upper Bound

single parent

32

60.34

5.637

.997

58.31

62.38

48

64

two parent no step-parents

42

61.81

3.583

.553

60.69

62.93

50

64

two parent with step-parent

26

58.77

8.392

1.646

55.38

62.16

28

64

Total

100

60.55

5.880

.588

59.38

61.72

28

64

Test of Homogeneity of Variances

Loyalty

Levene Statistic

df1

df2

Sig.

5.933

2

97

.004

ANOVA

Loyalty

Sum of Squares

Df

Mean Square

F

Sig.

Between Groups

150.440

2

75.220

2.230

.113

Within Groups

3272.310

97

33.735

Total

3422.750

99

Multiple Comparisons

Loyalty

Tukey HSD

(I) Household you grew up in

(J) Household you grew up in

Mean Difference (I-J)

Std. Error

Sig.

95% Confidence Interval

Lower Bound

Upper Bound

single parent

two parent no step-parents

-1.466

1.363

.532

-4.71

1.78

two parent with step-parent

1.575

1.534

.562

-2.08

5.22

two parent no step-parents

single parent

1.466

1.363

.532

-1.78

4.71

two parent with step-parent

3.040

1.449

.096

-.41

6.49

two parent with step-parent

single parent

-1.575

1.534

.562

-5.22

2.08

two parent no step-parents

-3.040

1.449

.096

-6.49

.41

Part 2The APA Write-Up Instructions

As with previous assignments, the American Psychological Association (APA) has standards for how statistical results should be presented. While the actual word choice varies, there are several essential components that are common among all presentations of statistical results and interpretations. Use the following instructions for ALL APA write-ups required for this course:

For each analysis, use the following steps to write a complete description of results in proper APA format.

  1. State what hypothesis was tested. -
  2. State what test was used.
  3. What decision did you make? Reject the null or retain (fail to reject) the null.
  4. Were the groups significantly different from each other?
  5. Report the means and standard deviations for each group.
  6. Put numbers in APA format:
    1. General Format: symbol for the test(df)= obtained value, p> or < significance level
    2. Specific for FTests: F(2, 99)=3.98, p<.05
      1. Now you need to discuss which of the mean comparisons done by the Tukey were significant. You do not need to report numbers just which groups were different from each other, if any.
  7. Report Effect Size (if known)

Example:

Freshmen and Sophmores were expected to score significantly higher on a measure of depression than were Juniors and Seniors. A One-Way ANOVA was used to test the hypothesis leading to the rejection of the null hypothesis, indicating a significant difference between the means, F(3, 96)=4.61, p<.05. Tukey post-hoc tests revealed that Freshmen (M=9.65, SD=1.59) were significantly more depressed than were Juniors (M=4.59, SD=.98) and Seniors (M=5.68, SD=1.22) but not significantly different from Sophomores (M=8.95, SD=1.43). Also, Sophomores were significantly more depressed than Juniors and Seniors but not Freshman.

Since we ran 2 analyses, you will do 2 write-ups for this assignment.

Hypothesis One: The researchers think that students who live at home will report different levels of emotional support from their closest female friends than those students who live either in the dorms or in an apartment or house with peers or alone.

  1. Answer the following questions
    1. What is the null hypothesis tested?
    2. Can we assume equal variances? (Was the Levene's Test for Equality of Variance significant or not significant?)
    3. Write up the results for the ANOVA and the Tukey procedure for Hypothesis One below:

Hypothesis Two: The researchers also believe that females will report differing levels of loyalty with their closest female friends based on the family composition of the house in which they grew up.

  1. Answer the following questions
    1. What is the null hypothesis tested?__________________________
    2. Can we assume equal variances? (Was the Levene's Test for Equality of Variance significant or not significant?)
    3. Write up the results for the ANOVA and the Tukey procedure for Hypothesis One below:

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