A sleep researcher conducts an experiment to determine whether a hypnotic drug called Drowson, which is advertised as a remedy for insomnia, actually does promote sleep. In addition, the researcher is interested in whether a tolerance to the drug develops with chronic use. The design of the experiment is a 2 x 2 factorial independent groups design. One of the variables is the concentration of Drowson. There are two levels: (1) zero concentration (placebo) and (2) the manufacturer's minimum recommended dosage. The other variable concerns the previous use of Drowson. Again there are two levels: (1) subjects with no previous use and (2) chronic users. Sixteen individuals with sleep-onset insomnia (difficulty in falling asleep) who have had no previous use of Drowson are randomly assigned to the two concentration conditions such that there are eight subjects in each condition. Sixteen chronic users of Drowson are also assigned randomly to the two conditions, eight subjects per condition. All subjects take their prescribed "medication" for three consecutive nights, and the time they fall asleep is recorded. The scores shown in the following table are the mean times in minutes to fall asleep for each subject, averaged over the 3 days:

Concentration of Drowson

Minimum

recommended

Previous UsePlacebodosage

No previous use45 533047

48583335

62554031

70645039

Chronic users 47685246

52646049

55585850

62596855

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I have calculated a two-way anova and the results are partially displayed below. Your job is to fill in the missing numbers under the column MS, Fobt, Fcrit, Omega squared and Cogen's F. Also answer the questions below the table.

Fill in the table below (refer to the example I posted and the power point examples) with the correct entries DO NOT ROUND your numbers until you get your results

SourceSSDF Mean SquareFobtFcritomega square Cohen f

Prevuse639.0311

Dose979.0311

Prevusex

dose472.7811

Error1538.12528

Fill in the blank.

1. The number in the source table above that is the average variance within each group is ___
2. The number in the source table above that is the variability of the cell means around the grand mean after the variance due to the main effects are subtracted is