Question: A psychologist employs a two-factor experiment to study the combined effect of sleep deprivation and alcohol consumption on the performance of automobile drivers. Before the driving test, the subjects go without sleep for various time periods and then drink a glass of orange juice laced with controlled amounts of vodka. Their performance is measured by the number of errors made on a driving simulator. Two subjects are randomly assigned to each cell, that is, each possible combination of sleep deprivation (either 0, 24, 48, or 72 hours) and alcohol consumption (either 0, 1, 2, or 3 ounces), yielding the following results:

NUMBER OF DRIVING ERRORS

ALCOHOL CONSUMPTION (OUNCES) SLEEP DEPRIVATION (HRS)

0 24 48 72 Trow T2row

0 0 2 5 5 29 841

3 4 4 6

11 3 6 5 36 1296

3 3 7 8

2 3 2 8 7 53 2809

5 5 11 12

3 4 4 10 9 68 4624

6 7 13 15

EX2 = 1466 Tcolumn 25 30 64 67 G = 186

T2column 625 900 4096 4489 G2 = 34596

1. Summarize the results with an ANOVA table.
2. If appropriate, conduct additional F tests, estimate effect sizes, and use Tukey’s HSD test.

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