A researcher used one-factor ANOVA for independent samples to examine the effectiveness of four workout videos. Students who enrolled to the study were divided into four groups with n = 21 participants in each group. Each group exercised to a different workout video and afterwards, all participants completed a survey evaluating the effectiveness of their workout. The partial results of the ANOVA conducted on the collected data are shown in the summary table below: Source SS df MS F Between Treatments 36 ____ ____ F = 4.00 Within Treatments ____ ____ Total ____ A. Fill in all the missing values in the table. Hint: Start from finding the df values for between treatments and within treatments based on the information provided in the description of the study. Figure out the other values by solving simple equations with one unknown. Refer to the formulas for df, MS & F statistic and the example in the lecture about One Factor Anova. B. Based on the ANOVA outcomes in the table, is there any significant difference in the effectiveness of four workout videos? Conduct the hypothesis test with p < .05 to answer this research question. Follow the steps of hypothesis testing and insert your answers below. In your calculations, round all numbers to two decimal places to avoid rounding errors. ANSWER H0: H1: df for the decision about H0: Critical F-value used for the decision about H0: Decision about H0 (i.e., reject or fail to reject): η2 effect size (if applicable): Conclusion in APA format (i.e., Is there any significant difference in effectiveness of workout videos? Make sure to follow the APA reporting format in your conclusion, see examples on the lecture slides).
A researcher used one-factor ANOVA for independent samples to examine the effectiveness of four workout videos. Students who enrolled to the study were divided into four groups with n = 21 participants in each group. Each group exercised to a different workout video and afterwards, all participants completed a survey evaluating the effectiveness of their workout. The partial results of the ANOVA conducted on the collected data are shown in the summary table below:
Source SS df MS F
Between Treatments 36 ____ ____ F = 4.00
Within Treatments ____ ____
Total ____
A. Fill in all the missing values in the table. Hint: Start from finding the df values for between treatments and within treatments based on the information provided in the description of the study. Figure out the other values by solving simple equations with one unknown. Refer to the formulas for df, MS & F statistic and the example in the lecture about One Factor Anova.
B. Based on the ANOVA outcomes in the table, is there any significant difference in the effectiveness of four workout videos? Conduct the hypothesis test with p < .05 to answer this research question.
Follow the steps of hypothesis testing and insert your answers below. In your calculations, round all numbers to two decimal places to avoid rounding errors.
ANSWER
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H0:
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H1:
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df for the decision about H0:
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Critical F-value used for the decision about H0:
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Decision about H0 (i.e., reject or fail to reject):
-
η2 effect size (if applicable):
-
Conclusion in APA format (i.e., Is there any significant difference in effectiveness of workout videos? Make sure to follow the APA reporting format in your conclusion, see examples on the lecture slides).
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