Historical Perspective: Pearson’s X2 and the Loglikelihood Ratio Statistic G2

  • Timothy R. C. Read
  • Noel A. C. Cressie
Part of the Springer Series in Statistics book series (SSS)


In Chapter 8 we looked towards future directions for research in goodness of-fit statistics for discrete multivariate. We now provide some historical perspective on the two“old warriors,” X2 and G2, which supports our conclusions for the power-divergence family in Chapters 3–7.


Loglinear Model Expected Frequency Multinomial Probability Bahadur Efficiency Sparseness Assumption 
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Copyright information

© Springer-Verlag New York Inc. 1988

Authors and Affiliations

  • Timothy R. C. Read
    • 1
  • Noel A. C. Cressie
    • 2
  1. 1.Hewlett-Packard CompanyPalo AltoUSA
  2. 2.Department of StatisticsIowa State UniversityAmesUSA

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