THE DIFFERENCE BETWEEN TWO POISSON EXPECTATIONS1
- 25 March 1975
- journal article
- Published by Wiley in Australian Journal of Statistics
- Vol. 17 (1) , 29-33
- https://doi.org/10.1111/j.1467-842x.1975.tb01370.x
Abstract
A number of statistics have been suggested for testing the difference between two Poisson expectations. On the basis of size and power calculations a new statistic, v= (2x+ 3/4)1/2 ‐ (2y + 3/4)1/2, where x and y are the two observed Poisson values, is recommended for testing such differences. This statistic is shown to be similar in performance to the familiar u=(x‐y)f(x+y)1/2, except in the tails of the distribution where it is superior.Keywords
This publication has 10 references indexed in Scilit:
- CRITICAL VALUES FOR INFERENCE ABOUT NORMAL DISPERSION1Australian Journal of Statistics, 1973
- On a Significance Test for Two Poisson VariablesJournal of the Royal Statistical Society Series C: Applied Statistics, 1973
- 294. Note: The Comparison of Two Poisson-Distributed ObservationsPublished by JSTOR ,1970
- Significance Tests in Discrete DistributionsJournal of the American Statistical Association, 1961
- Statistical control of counting experimentsBiometrika, 1952
- EXTENSION OF THE NEYMAN-PEARSON THEORY OF TESTS TO DISCONTINUOUS VARIATESBiometrika, 1950
- The Transformation of Poisson, Binomial and Negative-Binomial DataBiometrika, 1948
- THE TRANSFORMATION OF POISSON, BINOMIAL AND NEGATIVE-BINOMIAL DATABiometrika, 1948
- Homogeneity of Results in Testing Samples from Poisson Series: With an Application to Testing Clover Seed for DodderBiometrika, 1940
- THE ACCURACY OF THE PLATING METHOD OF ESTIMATING THE DENSITY OF BACTERIAL POPULATIONSAnnals of Applied Biology, 1922