STATISTICAL TECHNIQUES AND TOOLS
ANALYSIS OF VARIANCE
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Which of the following are NOT assumptions about ANOVA? Select all that apply.
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The populations from which the samples were obtained must be normally or approximately normally distributed.
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The samples must be independent of one another.
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The variances of the populations must be equal.
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The groups must be equal in sample size.
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Explanation:
Detailed explanation-1: -The statement that we can use the ANOVA test to compare a control group with the average of the other three groups is false as we can use it for three different groups but not the average of the three groups. Thus, option c) is false.
Detailed explanation-2: -To use the ANOVA test we made the following assumptions: Each group sample is drawn from a normally distributed population. All populations have a common variance. All samples are drawn independently of each other.
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