The Bureau of Labor Statistics collects information on the earnings of men and women for different occupations.
- The Bureau of Labor Statistics collects information on the earnings of men and women for different occupations. A reporter for The Tampa Tribune wanted to investigate whether there were any significant differences between the weekly salaries of men and women in 3 different occupations. The weekly salary for each individual was recorded.
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ANOVA Source of Variation SS df MS F P-value F crit Sample 221880 1 221880 21.25355216 0.000111908 4.259677214 Columns 276560 2 138280 13.24563364 0.000133027 3.402826105 Interaction 115440 2 57720 5.528912162 0.010595352 3.402826105 Within 250552 24 10439.66667 Total 864432 29 - Is there any significant effect due to occupation? Explain.
- Is there any significant effect due to gender? Explain.
- Is there any significant effect due to the interaction of these factors? Explain.
2. A research firm tests the mpg characteristics of 3 brands of gas. Because different auto models have different performance characteristics, 5 different models of car are selected and treated as blocks in the experiment.
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(Single Factor)
ANOVA Source of Variation SS df MS F P-value F crit Between Groups 23.33333333 2 11.66666667 0.607638889 0.560569803 3.885293835 Within Groups 230.4 12 19.2 Total 253.7333333 14 -
(RBD)
ANOVA Source of Variation SS df MS F P-value F crit Rows 217.0666667 4 54.26666667 32.56 5.34821E-05 3.837853355 Columns 23.33333333 2 11.66666667 7 0.017485144 4.458970108 Error 13.33333333 8 1.666666667 Total 253.7333333 14 - In succinct complete sentences, compare the 2 results. What is the advantage of the RBD? (Don’t be cheap here -- I'm going to compare answers)
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