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ID: 3216965 • Letter: T

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Develop, conduct, and interpret an example of a statistically significant repeated measure ANOVAwith Three Levels

Imagine that you are employed by an applied mental health care company; your task is to assess the effectiveness of a new technique (let’s call it UltraFocus!) to enhance concentration for ADHD elementary school children. The children who received the treatment were tested three times during the academic semester (Time 1, Time 2, Time 3). Your data includes amount of time students spent on a mental arithmetic task, as measured in minutes.

In plain words, state your null and alternative hypotheses.

Briefly explain why a repeated-measures ANOVA is appropriate for this research design.

Run the appropriate test in SPSS using AnalyzeGeneral Linear Model Repeated Measures. Denote “Time” as your factor, and specify 3 levels. Drag the three time variables into the “within subjects” variable box.

Utilize the “plots” menu to obtain a line graph.

Utilize the “options” menu to obtain descriptive statistics, effect size, and observed power.

Movie “time” into the “Display Means For” box. Check the “Compare Main Effects” box. Select “Bonferroni” in the “Confidence Interval Adjustment” box.

Paste the output for your Descriptive Statistics. Report (in APA style) the Means and Standard Deviations for each time condition.

Paste the output of your line graph. Describe in plain words the trend that you observe over time.

Paste the output of your Within-Subjects Effects. Which line will you interpret, and why?

Report the F(df), p-value, and effect size in APA style. Briefly interpret the effect size (i.e. small, medium or large). What conclusion can you make from the results of this analysis? What conclusion can you NOT make from this analysis?

Paste the output of the Pairwise Comparisons analysis. Briefly interpret the results of this test, and report the appropriate p-values. As an employee of the company, would you suggest the use of UltraFocus!? Why or why not?

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Explanation / Answer

Using Minitab:

One-way ANOVA: Time 1, Time 2, Time 3

Method

Null hypothesis All means are equal
Alternative hypothesis At least one mean is different
Significance level = 0.05

Equal variances were assumed for the analysis.


Factor Information

Factor Levels Values
Factor 3 Time 1, Time 2, Time 3


Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
Factor 2 12200 6100.00 125.81 0.000
Error 189 9164 48.49
Total 191 21364


Model Summary

S R-sq R-sq(adj) R-sq(pred)
6.96324 57.11% 56.65% 55.73%


Means

Factor N Mean StDev 95% CI
Time 1 64 7.500 6.152 (5.783, 9.217)
Time 2 64 8.750 6.167 (7.033, 10.467)
Time 3 64 25.00 8.34 (23.28, 26.72)

Pooled StDev = 6.96324


Tukey Pairwise Comparisons

Grouping Information Using the Tukey Method and 95% Confidence

Factor N Mean Grouping
Time 3 64 25.00 A
Time 2 64 8.750 B
Time 1 64 7.500 B

Means that do not share a letter are significantly different.

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