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ANOVAsteps-1

# ANOVAsteps-1 - ANOVA Hypothesis Testing Steps Calculating...

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ANOVA Hypothesis Testing Steps

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Calculating Variance: Review df SS = 2 s ( 29 1 s 2 2 - - = N M x Sum of Squares degrees of freedom
Example Retail store locations Unequal sample sizes DV = customer satisfaction (higher = more satisfaction) IV = region Null: There is no difference in customer satisfaction between regions. Research: There is a difference.

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West Midwest East South 14 20 15 20 16 25 15 20 25 19 24 19 27 20 22 M = 18.33 M = 22.6 M = 18.5 M = 19.67
Little Between, Much Within: Are the groups different?

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Step 1: Sample 1 What is the sample size of sample 1? n 1 = 3 Calculate the degrees of freedom for sample 1. df 1 = 3-1 = 2 Calculate the sum of squares for sample 1. ∑(X-M 1 ) 2 = 18.75 + 5.43 + 44.49 = 68.67 Calculate the variance for sample 1. s 2 1 = ∑(X-M 1 ) 2 /df 1 = 68.67/2 = 34.34 Calculate the standard deviation for sample 1. s 1 = square root of s 2 1 = 5.86
X (X-M) (X-M) 2 14 -4.33 18.7489 16 -2.33 5.4289 25 6.67 44.4889 M = 18.33 West (sample 1 )

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Step 1: Sample 2 What is the sample size of sample 2? n 2 = 5 Calculate the degrees of freedom for sample 2. df 2 = 5-1 = 4 Calculate the sum of squares for sample 2. ∑(X-M 2 ) 2 = 6.76 + 5.76 + 12.96 + 19.36 + 0.36 = 45.2 Calculate the variance for sample 2.
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