In: Math
For each of the following experiments or investigations indicate whether a fixed-effects or random-effects model is appropriate.
Fixed effects model: These are variables that are constant across individuals, i.e., any change they cause to an individual is the same. For example, any effects from being a woman, a person of color, or a 17-year-old will not change over time.
Random effects model: These variables are random and unpredictable. Example: The price for a three-course-dinner varies wildly depending on location.
a. Random samples of White and Black employed mothers were queried concerning the number and nature of the physical symptoms that would lead them not to send a child to school.
This is a fixed effects model because color of employed mothers is not changed.
b. Twenty male Wistar rats were subjected to 22 hours of food deprivation. Tetrahydrocannabinol was injected intraperitoneally at five randomly selected times following the deprivation period. Activity level was recorded following each injection.
This is a random effects model because Tetrahydrocannabinol was injected intraperitoneally at five randomly selected times following the deprivation period.
c. The effects of completing one, two, three, or four courses in the social sciences on liberalizing political attitudes was investigated using a random sample of 200 college students.
This is a random effects model because students randomly assign the effects of completing courses in the social science.
d. The amounts of social interaction initiated by 4- to 6-year-old children classified as severely, moderately, mildly, or non-handicapped were investigate.
This is a fixed effects model because a particular group is classified in different categories.
e. Eight randomly selected doses of testosterone propionate were administered to 80 immature male domestic ducks of the Rouen breed. The dependent exhibited following administration for the drug.
This is a random effects model