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In: Statistics and Probability

Please note that for all problems in this course, the standard cut-off (alpha) for a test...

Please note that for all problems in this course, the standard cut-off (alpha) for a test of significance will be .05, and you always report the exact power unless SPSS output states p=.000 (you’d report p<.001). Also, remember that we divide the p value in half when reporting one-tailed tests with 1 – 2 groups.

Problem Set 3: One-Way Randomized ANOVA (7 pts)

Research Scenario: A developmental psychologist is looking into the effects of play group size on empathy in four year old children. She divides the children into three separate groups for the semester during structured free time: play alone (n = 8), dyads (n = 8), or groups of 4 (n = 8). At the end of the semester, empathy is measured using the Young Children’s Empathy Measure during the parent-teacher conference (Poresky, 1990), which uses an accuracy scale of 0 – 4, with higher scores indicating more cognitive and affective empathy.

The scores for each group are shown in the table below. Input the data into SPSS (remember you will enter the data only using 2 columns – one for group (make sure you label the values) and one for empathy. Conduct a one-way ANOVA to determine the effect of these different play group assignments on empathy.

ALONE

2.7

2.3

3.1

2.5

2.6

2.0

2.9

2.4

DYAD

2.3

2.5

3.3

2.4

3.0

2.7

2.1

2.4

FOUR

2.4

2.6

2.6

3.1

3.2

3.0

2.7

2.6

  1.     Paste relevant SPSS output. (2 pt)
  1.    Create an appropriate graph to display this data. (2 pts)
  1.    Write an APA-style Results section based on your analysis. All homework “Results sections” should follow the examples provided in the presentations and textbooks. They should include the statistical statement within a complete sentence that mentions the type of test conducted, whether the test was significant, and if relevant, effect size and/or post hoc analyses. Don’t forget to include a decision about the null hypothesis. (3 pts)

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