# the following is a description of a three factor study

1Each of the following is a description of a three factor study. Identify the three factorsand state if they are random or fixed.Also, state the relationship between the three factors. For example, labeling the threefactors as A, B and C, some possible answers are:aThirty randomly selected subjects were tested in an experiment on the effects ofsunglasses on visual acuity. The tests were conducted using all possible combinationsof two types of sunglasses and five different lighting conditions. In addition, eachsubject was tested under three different levels of initial light adaptation. A singlevisual acuity score was obtained from each subject under each level of adaptation.Subjects=Random (A)Sunglasses=Fixed (B)Lighting Conditions=Fixed (C)A*B*CbSix randomly selected first-grade teachers were each assigned 12 randomly selectedpupils. Each teacher taught the pupils two subjects, reading and arithmetic. At the endof the year all six classes were given the same standard tests in these two subjects.The data were the test scores of the individual pupils in each of the two subjects.Teachers =Random (A)Pupils= Random (B)Subjects=Fixed (C)B(A)*CcTwo cancer treatments were being compared. Thirty randomly selected hospitalsparticipated in the experiment, with ten hospitals using each treatment, and ten usingtraditional treatments (as a control). In each hospital, fifteen patients were treated,each having one of three types of cancer (i.e., there were five patients with each typeof cancer). The health of each patient was rated on a ten-point scale after one week,two weeks, and three weeks of treatment.Treatments=Fixed (A)Hospitals=Random (B)Patients= Fixed (C)C(B)*A

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