Question
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:
- 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.
- 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
- 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.
- We also need to run the Tukey multiple comparison procedures.
- Additionally, we need to create a graph for each hypothesis.
Hypotheses:
- 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.
- 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.
- State what hypothesis was tested. -
- State what test was used.
- What decision did you make? Reject the null or retain (fail to reject) the null.
- Were the groups significantly different from each other?
- Report the means and standard deviations for each group.
- Put numbers in APA format:
- General Format: symbol for the test(df)= obtained value, p> or < significance level
- Specific for FTests: F(2, 99)=3.98, p<.05
- 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.
- 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.
- Answer the following questions
- What is the null hypothesis tested?
- Can we assume equal variances? (Was the Levene's Test for Equality of Variance significant or not significant?)
- 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.
- Answer the following questions
- What is the null hypothesis tested?__________________________
- Can we assume equal variances? (Was the Levene's Test for Equality of Variance significant or not significant?)
- Write up the results for the ANOVA and the Tukey procedure for Hypothesis One below:
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