Define hypotheses Find the critical value and rejection region using alpha = .05. Fill in the ANOVA summary table to calculate the test statistic F  Source SS df MS F Between         Within         Total           4. Calculate eta2 as the effect size 5. Make a statistical decision regarding the hypothesis based on your results and write a conclusion statement summarizing the results. Be sure to include eta2 in the summary and interpret its magnitude.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Researchers were interested in whether certain health behaviors can reduce the number of sick days employees take. Employees were randomly assigned to three groups, with a separate sample of n = 10 in each group. Group 1 was asked to eat 5 servings of fruits and vegetables a week for a year. Group 2 was asked to eat 5 servings of fruits and vegetables a week, as well as exercise 5 times a week, for a year. Group 3 served as the control group; they were not asked to change their behaviors. At the end of the year, the researchers compared the number of sick days.

Healthy Diet

 Healthy Diet & Exercise

 Control

X = 156

X2 = 860

M1 = 5.00

M2 = 4.40

M3 = 6.20

N = 30

S1 = 1.05

S2 = 1.07

S3 = 1.15

k = 3

SS1 = 10.00

SS2 = 10.40

SS3 = 11.80

 

T1 = 50.00

T2 = 44.00

T3 = 62.00

 

 

  1. Define hypotheses
  2. Find the critical value and rejection region using alpha = .05.
  3. Fill in the ANOVA summary table to calculate the test statistic

Source

SS

df

MS

F

Between

 

 

 

 

Within

 

 

 

 

Total

 

 

 

 

 

4. Calculate eta2 as the effect size

5. Make a statistical decision regarding the hypothesis based on your results and write a conclusion statement summarizing the results. Be sure to include eta2 in the summary and interpret its magnitude. 

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