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Keywords
(4)
Distribution Function
False Discovery Rate
Multiple Comparisons
Order Statistic
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Probabilities for separating sets of order statistics
Probabilities for separating sets of order statistics,10.1080/02331880902986984,Statistics,Deborah H. Glueck,Anis KarimpourFard,Jan Mandel,Keith E. M
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Probabilities for separating sets of order statistics
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Deborah H. Glueck
,
Anis KarimpourFard
,
Jan Mandel
,
Keith E. Muller
Consider a set of order statistics that arise from sorting samples from two different populations, each with their own, possibly different distribution functions. The probability that these order statistics fall in disjoint, ordered intervals, and that of the smallest statistics, a certain number come from the first populations is given in terms of the two distribution functions. The result is applied to computing the joint probability of the number of rejections and the number of false rejections for the Benjaminiâ€“Hochberg
false discovery rate
procedure.
Journal:
Statistics
, vol. 44, no. 2, pp. 145153, 2010
DOI:
10.1080/02331880902986984
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References
(5)
Controlling the false discovery rate: a practical and powerful approach to multiple testing
(
Citations: 7148
)
Yoav Benjamini
,
Y. Hochberg
Published in 1995.
Order Statistics
(
Citations: 2000
)
Unknown
Published in 2009.
Fast Computation by Block Permanents of Cumulative Distribution Functions of Order Statistics from Several Populations
(
Citations: 3
)
Deborah H. Glueck
,
Anis KarimpourFard
,
Jan Mandel
,
Larry Hunter
,
Keith E. Muller
Journal:
Communications in Statisticstheory and Methods  COMMUN STATISTTHEOR METHOD
, vol. 37, no. 18, pp. 28152824, 2008
Expected Power for the False Discovery Rate with Independence
(
Citations: 3
)
D. H. Glueck
,
K. E. Muller
,
A. KarimpourFard
,
L. Hunter
Journal:
Communications in Statisticstheory and Methods  COMMUN STATISTTHEOR METHOD
, vol. 37, no. 12, pp. 18551866, 2008
A first course in probability
(
Citations: 452
)
S Ross
Published in 1976.
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(1)
For Education
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Citations: 1
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Jan Masschelein
Journal:
Journal of Philosophy of Education  J PHILOSOPHY EDUC
, vol. 31, no. 3, pp. 505514, 1997