Describing the ANOVA model For each of the following situations, identify the re

Question

Describing the ANOVA model

For each of the following situations, identify the responsevariable and the populations to be compared, and give I,the ni, and N.

a. A developer of a virtual-reality teaching tool for thedeaf wants to compare the effectiveness of different navigationmethods. A total of 40 children were available for the experiment,of which equal numbers were randomly assigned to use a joystick,wand, dancemat, or gesture-based pinch gloves. The time (inseconds) to complete a designed VR path is recorded for eachchild.

b. To study the effects of pesticides on birds, an experimenterrandomly (and equally) allocated 65 chicks to five diets (a controland four with a different pesticide included). After a month, thecalcium content (mg) in a 1-centimeter length of bone from eachchick was measured.

c. A university sandwich shop wants to compare the effects ofproviding free food with a sandwich order on sales. The experimentwill be conducted from 11 AM to 2 PM for the next 20 weekdays. Oneach day, customers will be offered one of the following: a freedrink, free chips, a free cookie or nothing. Each option will beoffered 5 times.

Explanation / Answer

A) Populations to be compared: groups of children using using thedifferent tools Response variable: time to complete task N = 40 ni = 40 / 4 treatments = 10 B) Populations to be compared: groups of birds under differentdiets Response variable: calcium content N = 65 ni = 65 / 5 treatments = 13 C) Populations to be compared: groups of customers offered variousfree goods (or no free good) Response variable: effect on sales N = total number of people who come in during the 20 days ni = total number of people who come in while good i isfree (over all 5 days)

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