메뉴 건너뛰기




Volumn 84, Issue 405, 1989, Pages 130-141

Power approximations to multinomial tests of fit

Author keywords

Asymptotic expansions; Goodness of fit; Noncentral chi squared distribution

Indexed keywords


EID: 0001104563     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1989.10478748     Document Type: Article
Times cited : (25)

References (24)
  • 1
    • 4344595404 scopus 로고
    • A Power Approximation for the Chi-Square Goodness-of-Fit Test: Simple Hypothesis Case
    • Broffitt, J. D., and Randies, R. H. (1977), “A Power Approximation for the Chi-Square Goodness-of-Fit Test: Simple Hypothesis Case,” Journal of the American Statistical Association, 72, 604–607.
    • (1977) Journal of the American Statistical Association , vol.72 , pp. 604-607
    • Broffitt, J.D.1    Randies, R.H.2
  • 2
    • 84988098448 scopus 로고
    • Approximations to Noncentral Distributions
    • Cox, D. R., and Reid, N. (1987), “Approximations to Noncentral Distributions,” Canadian Journal of Statistics, 15, 105–114.
    • (1987) Canadian Journal of Statistics , vol.15 , pp. 105-114
    • Cox, D.R.1    Reid, N.2
  • 5
    • 0001980960 scopus 로고
    • The Distribution of General Quadratic Forms in Normal Variables
    • Dik, J. J., and De Gunst, M. C. M. (1985), “The Distribution of General Quadratic Forms in Normal Variables,” Statistica Neerlandica, 39,1426.
    • (1985) Statistica Neerlandica , vol.39 , pp. 1426
    • Dik, J.J.1    De Gunst, M.C.M.2
  • 6
    • 84950488094 scopus 로고    scopus 로고
    • Asymptotic Error Bounds for Power Approximations to Multinomial Tests of Fit
    • (in press), eds. L. J. Gleser, M. D. Perlman, S. J. Press, and A. D. Sampson, New York: Springer-Verlag
    • Drost, F. C., Kallenberg, W. C. M., Moore, D. S., and Oosterhoff, J. (in press), “Asymptotic Error Bounds for Power Approximations to Multinomial Tests of Fit,” in Festschrift for Ingram Olkin, eds. L. J. Gleser, M. D. Perlman, S. J. Press, and A. D. Sampson, New York: Springer-Verlag.
    • Festschrift for Ingram Olkin
    • Drost, F.C.1    Kallenberg, W.C.M.2    Moore, D.S.3    Oosterhoff, J.4
  • 8
    • 10844266884 scopus 로고
    • A Comparative Simulation Study of the Small Sample Powers of Several Goodness-of-Fit Tests
    • Haber, M. (1980), “A Comparative Simulation Study of the Small Sample Powers of Several Goodness-of-Fit Tests,” Journal of Statistical Computation and Simulation, 11, 241–251.
    • (1980) Journal of Statistical Computation and Simulation , vol.11 , pp. 241-251
    • Haber, M.1
  • 9
    • 0041466134 scopus 로고
    • On Moderate and Large Deviations in Multinomial Distributions
    • Kallenberg, W. C. M. (1985), “On Moderate and Large Deviations in Multinomial Distributions,” The Annals of Statistics, 13, 1554–1580.
    • (1985) The Annals of Statistics , vol.13 , pp. 1554-1580
    • Kallenberg, W.C.M.1
  • 11
    • 84924532810 scopus 로고
    • An Empirical Investigation of Goodness-of-Fit Statistics for Sparse Multinomials
    • Koehler, K. J., and Larntz, K. (1980), “An Empirical Investigation of Goodness-of-Fit Statistics for Sparse Multinomials,” Journal of the American Statistical Association, 75, 336–342.
    • (1980) Journal of the American Statistical Association , vol.75 , pp. 336-342
    • Koehler, K.J.1    Larntz, K.2
  • 12
    • 0000024624 scopus 로고
    • Series Representations of Distributions of Quadratic Forms in Normal Variables II: Non-central Case
    • Kotz, S., Johnson, N. L., and Boyd, D. W. (1967), “Series Representations of Distributions of Quadratic Forms in Normal Variables II: Non-central Case,” The Annals of Mathematical Statistics, 38, 838–848.
    • (1967) The Annals of Mathematical Statistics , vol.38 , pp. 838-848
    • Kotz, S.1    Johnson, N.L.2    Boyd, D.W.3
  • 13
    • 84950665320 scopus 로고
    • Small-Sample Comparisons of Exact Levels for Chi-Squared Goodness-of-Fit Statistics
    • Larntz, K. (1978), “Small-Sample Comparisons of Exact Levels for Chi-Squared Goodness-of-Fit Statistics,” Journal of the American Statistical Association, 73, 253–263.
    • (1978) Journal of the American Statistical Association , vol.73 , pp. 253-263
    • Larntz, K.1
  • 14
    • 5544266158 scopus 로고
    • Measures of Lack of Fit From Tests of Chi-Squared Type
    • Moore, D. S. (1984), “Measures of Lack of Fit From Tests of Chi-Squared Type,” Journal of Statistical Planning and Inference, 10, 151–166.
    • (1984) Journal of Statistical Planning and Inference , vol.10 , pp. 151-166
    • Moore, D.S.1
  • 15
    • 0000685721 scopus 로고
    • Unified Large-Sample Theory of General Chi-Squared Statistics for Tests of Fit
    • Moore, D. S., and Spruill, M. C. (1975), “Unified Large-Sample Theory of General Chi-Squared Statistics for Tests of Fit,” The Annals of Statistics, 3, 599–616.
    • (1975) The Annals of Statistics , vol.3 , pp. 599-616
    • Moore, D.S.1    Spruill, M.C.2
  • 16
    • 0001257942 scopus 로고
    • Central Limit Theorems for Multinomial Sums
    • Morris, C. (1975), “Central Limit Theorems for Multinomial Sums,” The Annals of Statistics, 3, 165–188.
    • (1975) The Annals of Statistics , vol.3 , pp. 165-188
    • Morris, C.1
  • 17
    • 78651023100 scopus 로고
    • 2 and F Distributions and Their Applications
    • 2 and F Distributions and Their Applications,” Biometrika, 36, 202–232.
    • (1949) Biometrika , vol.36 , pp. 202-232
    • Patnaik, P.B.1
  • 18
    • 0001454867 scopus 로고
    • On the Criterion That a Given System of Deviations From the Probable in the Case of a Correlated System of Variables Is Such That It Can Be Reasonably Supposed to Have Arisen From Random Sampling
    • Ser. 5
    • Pearson, K. (1900), “On the Criterion That a Given System of Deviations From the Probable in the Case of a Correlated System of Variables Is Such That It Can Be Reasonably Supposed to Have Arisen From Random Sampling,” Philosophical Magazine, Ser. 5, 50, 157–175.
    • (1900) Philosophical Magazine , vol.50 , pp. 157-175
    • Pearson, K.1
  • 19
    • 0001972379 scopus 로고
    • Efficiencies of Chi-Square and Likelihood Ratio Goodness-of-Fit Tests
    • Quine, M. P., and Robinson, J. (1985), “Efficiencies of Chi-Square and Likelihood Ratio Goodness-of-Fit Tests,” The Annals of Statistics, 13, 727–742.
    • (1985) The Annals of Statistics , vol.13 , pp. 727-742
    • Quine, M.P.1    Robinson, J.2
  • 20
    • 0000294422 scopus 로고
    • Small-Sample Comparisons for the Power Divergence Goodness-of-Fit Statistics
    • Read, T. R. C. (1984), “Small-Sample Comparisons for the Power Divergence Goodness-of-Fit Statistics,” Journal of the American Statistical Association, 79, 929–935.
    • (1984) Journal of the American Statistical Association , vol.79 , pp. 929-935
    • Read, T.R.C.1
  • 21
    • 0039884906 scopus 로고
    • Algorithm AS 106: The Distribution of Non-negative Quadratic Forms in Normal Variables
    • Sheil, J., and O’Muircheartaigh, I. (1977), “Algorithm AS 106: The Distribution of Non-negative Quadratic Forms in Normal Variables,” Applied Statistics, 26, 92–98.
    • (1977) Applied Statistics , vol.26 , pp. 92-98
    • Sheil, J.1    O’Muircheartaigh, I.2
  • 22
    • 84935702114 scopus 로고
    • Accuracy of an Approximation to the Power of the Chi-Square Goodness-of-Fit Tests With Small but Equal Expected Frequencies
    • Slakter, M. J. (1968), “Accuracy of an Approximation to the Power of the Chi-Square Goodness-of-Fit Tests With Small but Equal Expected Frequencies,” Journal of the American Statistical Association, 63, 912–918.
    • (1968) Journal of the American Statistical Association , vol.63 , pp. 912-918
    • Slakter, M.J.1
  • 24
    • 0000787534 scopus 로고
    • Asymptotic Approximations for the Probability That a Sum of Lattice Random Vectors Lies in a Convex Set
    • Yarnold, J. K. (1972), “Asymptotic Approximations for the Probability That a Sum of Lattice Random Vectors Lies in a Convex Set,” The Annals of Mathematical Statistics, 43, 1566–1580.
    • (1972) The Annals of Mathematical Statistics , vol.43 , pp. 1566-1580
    • Yarnold, J.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.