A researcher is studying the effects of three different diets on weight loss. She randomly assigns participants to one of the three diet plans and records their weight loss after 4 weeks. Which of the following is the primary reason for using ANOVA in this scenario? A.A) To determine the average weight loss for each diet.B. B) To compare the effects of the three diets to see if there is a significant difference in weight loss among them.C.C) To determine which diet has the largest standard deviation in weight loss.D. D) To compare the difference in weight loss between each pair of diets.
Question
A researcher is studying the effects of three different diets on weight loss. She randomly assigns participants to one of the three diet plans and records their weight loss after 4 weeks. Which of the following is the primary reason for using ANOVA in this scenario? A.A) To determine the average weight loss for each diet.B. B) To compare the effects of the three diets to see if there is a significant difference in weight loss among them.C.C) To determine which diet has the largest standard deviation in weight loss.D. D) To compare the difference in weight loss between each pair of diets.
Solution
The primary reason for using ANOVA (Analysis of Variance) in this scenario is:
B) To compare the effects of the three diets to see if there is a significant difference in weight loss among them.
Explanation: ANOVA is a statistical method used to test differences between two or more means. It may seem odd that we are testing means with a technique called Analysis of Variance. But the name is appropriate because inferences about means are made by analyzing variance. In this case, the researcher is interested in determining whether there are significant differences in weight loss among the three different diets. ANOVA allows her to test this by comparing the variances within each diet group to the variances between the different diet groups.
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