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THE CONSTRUCTION OF THE SIMPLE X 2 AND NEYMAN SMOOTH GOODNESS OF FIT TESTS
Author(s) -
Rayner J.C.W.,
Best D.J.,
Dodds K.G.
Publication year - 1985
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1985.tb01123.x
Subject(s) - mathematics , goodness of fit , simple (philosophy) , test (biology) , omnibus test , statistics , statistical hypothesis testing , calculus (dental) , combinatorics , medicine , epistemology , paleontology , philosophy , dentistry , biology
Suppose we wish to test whether data are consistent with a completely specified continuous distribution against a general alternative. Familiar omnibus tests are PEARSON'S X 2 test and NEYMAN'S smooth test. Fundamental problems in the application of these tests are the construction and number of classes to use for X 2 , and the choice of the order of the NEYMAN smooth test. This paper examines these questions.