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 (HOURS) 0 24 48 72 Trow T2row 0 0 2 5 5 29 841 3 4 4 6 1 1 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 ΣX2 = 1466 Tcolumn 25 30 64 67 G = 186 T2column 625 900 4096 4489 G2 = 34596 Summarize the results with an ANOVA table. If appropriate, conduct additional F tests, estimate effect sizes, and use Tukey's HSD test.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 (HOURS)
	0	24	48	72	Trow	T2row

0	0	2	5	5	29	841
	3	4	4	6
1	1	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


ΣX2 = 1466

Tcolumn	25	30	64	67		G = 186

T2column	625	900	4096	4489		G2 = 34596