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 Use Placebo dosage No previous use45 53 30 47 48 58 33 35 62 55 40 31 70 64 50 39 Chronic users 47 68 52 46 52 64 60 49 55 58 58 50 62 59 68 55 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 Compute all necessary subsequent tests using the Tukey test 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 Source SS df MS Fobt Fcrit Omega squared Cohen'sF prevUse 639 031 1 Dose 979 031 1 prevUse x Dose 472 781 1 Error 1538 125 28 Fill in the blank The number in the source table above that is the average variance within each group is 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 The number in the source table above that is the denominator of all the F tests 6 (13 points) The means below are from a hypothetical study of the role of drive level and drugs on the learning performance of monkeys The animals are given a series of 20 oddity problems In this task, three objects (two of the same, one different) Are presented to the monkeys, and the subjects task is to learn to select the non duplicated or odd object A food reward is placed in a food well underneath the correct object A trial consists of the presentation of three objects and the monkey's selection of one of them The response measure Y is the number of errors in 20 trials of training One of the independent variables Factor A consists of a Control and two Drug conditions, and the other variable Factor B is the drive level of animals, either 1 hour of food deprivation of 24 hours of food deprivation Four moneys are randomly assigned to each treatment combination The mean number of errors for each condition are presented below along with the results of the analysis of variance Source SS dfMS F 2 Cohen's F Factor A(Drug) 112 00 2 56 00 3 06 Factor B (Motivation) 24 001 24 00 1 31 A x B 144 002 72 00 3 93 S AB (error) 330 0018 18 33 Write in the appropriate Omega Square and Cohen's F values above next to the associated factor Also answer the following questions Which number above is the average variance within each of the groups What number above is the variability of the main effect drug means around the grand mean The interaction is significant For the significant interaction, test the simple effect of Motivation (food deprivation one hr vs 24 hrs) at each level of drug using the Tukey and the Fischer's LSD and write out your conclusions separately for each test Control Drug X Drug Y One Hour 3 00 10 0014 00 24 Hour 11 00 12 00 10 00 8 2 4 Tukey CD Results

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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

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 Use Placebo dosage

No previous use45 53 30 47

48 58 33 35

62 55 40 31

70 64 50 39

Chronic users 47 68 52 46

52 64 60 49

55 58 58 50

62 59 68 55

________________________________________________________

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.

Compute all necessary subsequent tests using the Tukey test.

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

Source	SS	df	MS	Fobt	Fcrit	Omega squared	Cohen'sF
prevUse	639.031	1
Dose	979.031	1
prevUse x Dose	472.781	1
Error	1538.125	28

Fill in the blank.

The number in the source table above that is the average variance within each group is ___

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 ___

The number in the source table above that is the denominator of all the F tests. ____

6. (13 points) The means below are from a hypothetical study of the role of drive level and drugs on the learning performance of monkeys. The animals are given a series of 20 "oddity" problems. In this task, three objects (two of the same, one different). Are presented to the monkeys, and the subjects task is to learn to select the non-duplicated or odd object. A food reward is placed in a food well underneath the correct object. A trial consists of the presentation of three objects and the monkey's selection of one of them. The response measure Y is the number of errors in 20 trials of training. One of the independent variables Factor A consists of a Control and two Drug conditions, and the other variable Factor B is the drive level of animals, either 1 hour of food deprivation of 24 hours of food deprivation. Four moneys are randomly assigned to each treatment combination. The mean number of errors for each condition are presented below along with the results of the analysis of variance.

Source SS dfMS F ²Cohen's F

Factor A(Drug) 112.00 2 56.00 3.06

Factor B (Motivation) 24.001 24.00 1.31

A x B 144.002 72.00 3.93*

S/AB (error) 330.0018 18.33

Write in the appropriate Omega Square and Cohen's F values above next to the associated factor. Also answer the following questions

Which number above is the average variance within each of the groups?

What number above is the variability of the main effect drug means around the grand mean ?

The interaction is significant. For the significant interaction, test the simple effect of Motivation (food deprivation-one hr vs. 24 hrs) at each level of drug using the Tukey and the Fischer's LSD and write out your conclusions separately for each test.

Control Drug X Drug Y

One Hour 3.00 10.0014.00

24 Hour 11.00 12.00 10.00

8 2 4

Tukey CD =

Results: