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Reliable and questionable significance in a series of statistical tests

Reliable and questionable significance in a series of statistical tests When N significance tests are performed and n of these show significance at some prescribed level of confidence, a question arises as to whether the n occurrences may be attributed to chance. The exact probability of n "significant" results in a series of N significance tests may be computed by summing apprporiate terms of the binomial expansion. When N is large, and certain conditions are met, the usual approximation of the binomial distribution by the normal is suitable and considerably reduces the labor. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Psychological Bulletin American Psychological Association

Reliable and questionable significance in a series of statistical tests

Broz_7ek, Joseph; Tiede, Kenneth
Psychological Bulletin , Volume 49 (4): 3 – Jul 1, 1952
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Publisher
American Psychological Association
Copyright
Copyright © 1952 American Psychological Association
ISSN
0033-2909
eISSN
1939-1455
DOI
10.1037/h0058274
Publisher site
See Article on Publisher Site

Abstract

When N significance tests are performed and n of these show significance at some prescribed level of confidence, a question arises as to whether the n occurrences may be attributed to chance. The exact probability of n "significant" results in a series of N significance tests may be computed by summing apprporiate terms of the binomial expansion. When N is large, and certain conditions are met, the usual approximation of the binomial distribution by the normal is suitable and considerably reduces the labor.

Journal

Psychological Bulletin – American Psychological Association

Published: Jul 1, 1952

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