The Bureau of Labor Statistics collects information on the earnings of men and women for different occupations.


  1. 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.
  1. 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
  2. Is there any significant effect due to occupation? Explain.
  3. Is there any significant effect due to gender? Explain.
  4. 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.

  1. (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
  2. (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
  3. 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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