Testing goodness of fit with multinomial data

Journal of the American Statistical Association

Volumn 92, Issue 439, 1997, Pages 1084-1093

  Eubank, R L ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Chi squared test; Fourier analysis; Order selection; Power

Indexed keywords

EID: 21744443060     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1997.10474064     Document Type: Article

References (17)

1. Bhattacharya, R. N., and Rango Rao, R.(1976), Normal Approximations and Asymptotic Expansions, New York: Wiley.
2. Cressie, N., and Read, T. R. C.(1984), "Multinomial Goodness-of-Fit Tests,"Journal of the Royal Statistical Society, Ser. B, 46, 440-464.
3. Eubank, R., and Hart, J. D.(1992), "Testing Goodness of Fit in Regression via Order Selection Criteria,"The Annals of Statistics, 20, 1412-1425.
4. Eubank, R., and LaRiccia, V. N.(1993), "Asymptotic Comparison of Cramer-von Mises and Nonparametric Function Estimation Techniques for Testing Goodness of Fit,"The Annals of Statistics, 20, 1412-1425.
5. Eubank, R., and LaRiccia, V. N. (1994), "Component-Type Tests for Ordered Categorical Data,"Parisankhyan Samikkha, 1,51-60.
6. Hart, J. D.(1985), "On the Choice of a Truncation Point in Fourier Series Density Estimation,"Journal of Statistical Computing and Simulation,21, 95-116.
7. Kallenberg, W. C. M., and Ledwina, T.(1995), "Consistency and Monte Carlo Simulation of a Data-Driven Version of Smooth Goodness-of-Fit Tests,"The Annals of Statistics, 23, 1594-1608.
8. Lancaster, H. O.(1969), The Chi-Squared Distribution, New York: Wiley.
9. Ledwina, T.(1994), "Data-Driven Version of the Neyman Smooth Test of Fit,"Journal of the American Statistical Association, 89, 1000-1005.
10. Lehmann, E. L.(1986), Testing Statistical Hypotheses (2nd ed.), New York: Wiley.
11. Nair, V.(1987), "Chi-Squared-Type Tests for Ordered Alternatives in Contingency Tables,"Journal of the American Statistical Association, 82,283-291.
12. Nair, V. (1988), "Testing in Industrial Experiments With Ordered Categorical Data,"Technometrics, 28, 283-311.
13. Rayner, J. C. W., and Best, D. J.(1989), Smooth Tests of Goodness of Fit, New York: Oxford University Press.
14. Shibata, R.(1976), "Selection of the Order of an Autoregressive Model By Akaike's Information Criterion,"Biometrika, 63, 117-126.
15. Spitzer, F.(1956), "A Combinatorial Lemma With Its Applications to Probability Theory,"Transactions of the American Mathematical Society, 82,323-339.
16. Szego, G.(1975), Orthogonal Polynomials (4th ed.), American Mathematical Society Colloquium Publications, Vol. 23, Providence, RI: American Mathematical Society.
17. Zhang, P.(1992), "On the Distributional Properties of Model Selection Criteria,"Journal of the American Statistical Association, 87, 732-737.