A person with a long standing problem of insomnia—short duration of sleep and poor quality—who had tried a variety a behavioral changes in a nonsystematic way decided to use factorial methods to improve his sleep. Olsen et al. published the results. Below are the experimental variables, the 24-1 design matrix, and the data for hours slept.

Analyze the data and suggest the conditions under which the longest sleep would be obtained.

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Response Variables Length of Sleep Quality of Sleep Factors Food & Drink Yoga Bedtime Experimental Variables Measure Time woke up-time laid down (luminous clock) Visual Analog Scale (0-10) 0-Totally worthless, 10-Couldn't have been better Low Level Yes after 9 pm None After 11 pm High Level None after 8 pm 20 min exercise before bed Before 10 pm Get up within 1 hr. of waking up Rise Time Stay in bed until 6 am - Ya9 no A11 wu1 FR YR BR Na8 20m B10 0.25 YB FB FY Test RunOrder F&D Yoga Btime Rtime X1 X2 X3 Hours 1 5 + + 4.75 2 7 3 1 + 1 + 4 4 + 5 6 + 10 6 8 + I + 1 - 6.25 + + 4.75 4.75 5.75 5.00 7 2 + + + 6.75 8 3 + 6.50 Effect 0.125 0.25 0.875 0.5 1 -0.625 -0.25