Which of the Following Statements Are Not True?
A) the Single-Factor

question 3

Multiple Choice

Which of the following statements are not true?

• A) The single-factor ANOVA model for comparing I population or treatment means assumed that for i=1,2,…..,I, a random sample of size \(J _ {i}\)
• Is drawn from any population with mean \(\mu _ { i }\)
• And variance \(\sigma ^ { 2 }\)
• B) Let \(N = \Sigma J _ { i }\)
• Be the total number of observations in a data set, and suppose we rank all N observations from 1 \(\left( \text { the smallest } X _ { y } \right)\)
• To N \(\left( \text { the largest } X _ { y } \right) \text {. }\)
• When \(H _ { 0 } : \mu _ { 1 } = \mu _ { 2 } = \ldots . . = \mu _ { i }\)
• Is false, then some samples will consist mostly of observations having small ranks in the combined sample, whereas others will consist mostly of observations having large ranks.
• C) Let \(N = \Sigma J _ { i }\)
• Be the total number of observations in a data set, and suppose we rank all N observations from 1 \(\left( \text { the smallest } X _ { y } \right)\)
• To N \(\left( \text { the largest } X _ { y } \right) \text {. }\)
• When \(H _ { 0 } : \mu _ { 1 } = \mu _ { 2 } = \ldots . . = \mu _ { i }\)
• Is true, the N observations all come from the same distribution, in which case all possible assignments of the ranks 1,2,…, N to the J samples are equally likely and we expect ranks to be intermingles in these samples.
• D) All of the above statements are true.
• E) None of the above statements are true.

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Definitions:

Non Static Members

Elements of a class that are specific to each instance and not shared across instances, unlike static members.

Static

A keyword in programming that indicates a member belongs to the class, rather than instances of it, often used for methods and variables.

Comparable Interface

An interface in Java that allows objects of a class to be compared to each other, primarily for sorting purposes.

CompareTo

A method in Java used for comparing two objects, specifically in sorting, returning an integer based on the comparison's result.