Practice Problem ANSWERS: 1-Way ANOVA

Item 1 

Year in school and car accidents.

10th     11th    12th
   2        13        4
   9        17        8
   3        14        2
   1          9        1
   7         1         4

                      SS      df    ms

Between     150.53    2   75.27

Within        228.80  12   19.07

Total          379.33  14   27.10

F =   3.95

Which grade has the most car accidents: The critical value is 3.74, so F is significant. You can now do multiple t-tests to discover which means are significantly different from each other.

Item 2

House color and people’s stay (in years).

Blue    Green   Peach
  8        11         4
  7         9          8
  3         7          9
  1       18          2
  9       12          4

                   SS     df    ms

Between     116.13   2   58.07

Within        151.60  12  12.63

Total          267.73   14   19.12

F =   4.60

Which color of house is lived in the longest (in years)? The critical value is 3.74, so F is significant. You can now do multiple t-tests to discover which means are significantly different from each other.

NOW YOU CHOOSE
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