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For each of the following scenarios, what are two names for the ANOVA that would

ID: 3150930 • Letter: F

Question

For each of the following scenarios, what are two names for the ANOVA that would be conducted to analyze the data? a) A researcher examined the effect of gender and pet ownership (no pets, one pet, more than one pet) on a measure of loneliness. b) In a study on memory, participants completed a memory task once each week for 4 weeks - twice after sleeping 8 hours and twice after sleeping 4 hours. In each sleep condition, the participants completed the task after ingesting a caffeinated beverage and again, on another day, after ingesting a "placebo" beverage that they were told contained caffeine. c) A study examined the impact of students' Facebook profiles on numbers of Facebook friends. The researchers were interested in the effect of the profile photo - either an identifiable photo of the student or a photo of someone or something else - and the effect of relationship status - whether it indicates the student is single or in a relationship.

Explanation / Answer

(a)

Here the response variable y is the measure of loneliness.

Here y depends on two factors viz. gender (possibly with 2 levels-- male and female) and pet ownership (with 3 levels -- no pets, one pet,more than one pet).

It is a case of two way ANOVA.

(b)

Here the response variable y is the memory measure.

y depends on two factors sleeping hours (in two levels -- 4 hours and 8 hours) and intake of caffeine (with two levels --- yes and no).

It is a case of two way ANOVA.

(c)

Here the response variable y is the number of facebook friends.

y depends on two factors viz. profile photo ( in 2 levels -- identifiable photo and photo of something else) and relationship status (in 2 levels --- single or in a relationship).

It is a case of two way ANOVA.

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