Premium
MONOTONE BOUNDS ON THE CHI‐SQUARED APPROXIMATION TO THE DISTRIBUTION OF PEARSON'S XSTATISTICS 1 2
Author(s) -
Jensen D. R.
Publication year - 1973
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1973.tb00009.x
Subject(s) - multinomial distribution , pearson's chi squared test , mathematics , statistics , statistic , goodness of fit , chi square test , monotone polygon , pearson product moment correlation coefficient , sample size determination , distribution (mathematics) , test statistic , statistical hypothesis testing , mathematical analysis , geometry
Summary Monotone bounds, depending on the underlying multinomial probabilities and the sample size, are given for the chi‐squared approximation to the distribution of Pearson's statistic for goodness of fit for simple hypotheses. These bounds apply to the distribution of a single statistic and to the joint distribution of two statistics associated with the margins of a two‐way table, in both the central and non‐central cases.