An approximation to the distribution of the X2 goodness-of-fit statistic for use with small expectations

@article{Lawal1980AnAT,
  title={An approximation to the distribution of the X2 goodness-of-fit statistic for use with small expectations},
  author={H. Lawal and G. Upton},
  journal={Biometrika},
  year={1980},
  volume={67},
  pages={447-453}
}
SUMMARY This paper is concerned with the X2 goodness-of-fit test when the observed frequencies are supposed to be distributed according to a specified multinomial distribution. We propose a log normal approximation to the distribution of X2. Our results suggest that the approximation is valid providing that the smallest expectation is greater than r/d3/2, where r is the number of expectations less than 5, and d is the number of degrees of freedom. 
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