suppose that you obtained the following (partially complete) The General Social

Question

suppose that you obtained the following (partially complete) The General Social Survey collects data on demographics, education, and work among many other characteristics of US residents. Below are summary statistics for the number of hours worked per week grouped by educational attainment. Educational attainment Less than HS HS Jr Coll Bachelor's Graduate Total 40.85 40.45 15.51 15.17 155 1,172 42.55 13.62 253 Mean SD 38.67 39.6 41.39 15.81 14.97 18.1 97 121 546 You want to evaluate if the average weekly hours worked varies significantly across the five different groups of educational attainment. To do this you decide to perform a hypothesis test using ANOVA. What is the sum of squares for the between group variation (i.e., SSG or the sum of squares associated with the different groups of educational attainment)? Answer:

Explanation / Answer

Here Sum of squares associated with the different groups = n (x - xGM )2

here xGM = 40.45

SSG = 121 * (38.67 - 40.45)2 + 546 * (39.6 - 40.45)2 + 97 * (41.39 -40.45)2 + 253 * (42.55 - 40.45)2 + 155 * (40.85 - 40.45)2

SSG = 383.3764 + 394.485 + 85.7092 + 1115.73 + 24.8 = 2004.1

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