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Which of the Following Statements Are True?
A) in Large-Sample Z=S+n(n+1)/4n(n+1)(2n+1)/24Z = \frac { S _ { + } - n ( n + 1 ) / 4 } { \sqrt { n ( n + 1 ) ( 2 n + 1 ) / 24 } }

Question 48

Multiple Choice

Which of the following statements are true?


A) In large-sample problems, the Wilcoxon signed-rank test is never very much less efficient than the t test and may be much more efficient if the underlying distribution is far from normal.
B) The Wilcoxon signed-rank test statistic for large-sample is Z=S+n(n+1) /4n(n+1) (2n+1) /24Z = \frac { S _ { + } - n ( n + 1 ) / 4 } { \sqrt { n ( n + 1 ) ( 2 n + 1 ) / 24 } }
Where n is the sample size and S+S _ { + }
Is the sum of the ranks associated with the positive observations.
C) When the sample size n > 20, the Wilcoxon signed-rank test statistic S+S _ { + }
Has approximately a normal distribution with mean and variance given by n(n+1) /4 and n(n+1) (2n+1) /24n ( n + 1 ) / 4 \text { and } n ( n + 1 ) ( 2 n + 1 ) / 24
, respectively
D) All of the above statements are true.
E) None of the above statements are true.

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