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Testing retrospective hypotheses
Author(s) -
Maymin Zakhar,
Gutmann Sam
Publication year - 1992
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315320
Subject(s) - set (abstract data type) , statistics , mathematics , combinatorics , statistical hypothesis testing , econometrics , computer science , programming language
This paper develops a conditional approach to testing hypotheses set up after viewing the data. For example, suppose X i are estimates of location parameters θ i , i = 1,… n. We show how to compute p ‐values for testing whether θ 1 is one of the three largest θ i after observing that X 1 is one of the three largest X i , or for testing whether θ 1 > θ 2 > … > θ n after observing X 1 >X 2 > … >X n .