Titlebook: Goodness-of-Fit Statistics for Discrete Multivariate Data; Timothy R. C. Read,Noel A. C. Cressie Textbook 1988 Springer-Verlag New York In

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,Tourism Advertisements in , (1925–1937),Chapter 3 presented the terminology and concepts for loglinear model fitting. In the present chapter, the emphasis changes from defining models to testing the model fit using the power-divergence goodness-of-fit statistic.

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https://doi.org/10.1007/978-3-663-04406-2Chapters 4 and 5 presented some theoretical and computational comparisons of the power-divergence family members. This chapter provides some further practical understanding of these results, by analyzing the effects of individual cell frequencies on the power-divergence statistic.

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https://doi.org/10.1007/978-3-662-08443-4The development of the power-divergence test statistic in the previous chapters suggests interesting and important avenues for further research. In this chapter we outline some specific topics and suggest possible future directions this research might take.

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Improving the Accuracy of Tests with Small Sample Size,The distributional properties of the power-divergence family discussed in Chapters 3 and 4 rely on large sample sizes for their validity (i.e., they are asymptotic results). So far, we have not discussed the relevance of these properties when the sample size is small.

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Comparing the Sensitivity of the Test Statistics,Chapters 4 and 5 presented some theoretical and computational comparisons of the power-divergence family members. This chapter provides some further practical understanding of these results, by analyzing the effects of individual cell frequencies on the power-divergence statistic.

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Future Directions,The development of the power-divergence test statistic in the previous chapters suggests interesting and important avenues for further research. In this chapter we outline some specific topics and suggest possible future directions this research might take.

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