Journal
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 318, Issue 1, Pages 92-100Publisher
BLACKWELL SCIENCE LTD
DOI: 10.1046/j.1365-8711.2000.03655.x
Keywords
methods : data analysis; methods : statistical; X-rays : general
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Improved chi(2) statistics are defined for both Poisson and multinomial data sets. Numerical experiments with the Nousek-Shue test problem from X-ray spectroscopy indicate that, in contrast to Pearson's statistic X-2, these modified statistics remain approximately valid at the 2 sigma level of significance even when the mean counts per bin is much less than 1 provided that the total counts N greater than or similar to 30. The simplest of the proposed statistics is formally equivalent to carrying out a goodness-of-fit test with Pearson's statistic but with modified confidence limits, and this procedure is recommended.
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