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

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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