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Volumn 29, Issue 2, 2000, Pages 463-476

Asymptotic expansion of the null distribution of one-way ANOVA test statistic for heteroscedastic case under nonnormality

Author keywords

Analysis of variance; Cornish Fisher expansion; Improvement on chi squared approximation; James test; Limiting distribution

Indexed keywords


EID: 33751133748     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610920008832495     Document Type: Article
Times cited : (3)

References (11)
  • 1
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    • Corrigendum, ibid. 8 (1980)
    • Bhattacharya, R. N., and Ghosh, J. K. (1978). On the validity of the formal Edgeworth expansion. Ann. Statist., 6, 434-451; Corrigendum, ibid. 8 (1980).
    • (1978) Ann. Statist. , vol.6 , pp. 434-451
    • Bhattacharya, R.N.1    Ghosh, J.K.2
  • 2
    • 84952087967 scopus 로고
    • The small sample behaviour of some statistics which test the equality of several means
    • Brown, M. B. and Forsythe, A. B. (1974). The small sample behaviour of some statistics which test the equality of several means. Technometrics, 16, 129-132.
    • (1974) Technometrics , vol.16 , pp. 129-132
    • Brown, M.B.1    Forsythe, A.B.2
  • 3
    • 84948237879 scopus 로고
    • Testing the equality of several means when population variances are unequal
    • Dijkstra, J. B., and Werter, P. S. P. J. (1981). Testing the equality of several means when population variances are unequal. Commun. Statist. Simula. Computa., B10, 557-569.
    • (1981) Commun. Statist. Simula. Computa. , vol.B10 , pp. 557-569
    • Dijkstra, J.B.1    Werter, P.S.P.J.2
  • 4
    • 84985560998 scopus 로고
    • On bootstrap hypothesis testing
    • Fisher, N. I., and Hall, P. (1990). On bootstrap hypothesis testing. Aurstral. J. Statist., 32(2), 177-190.
    • (1990) Aurstral. J. Statist. , vol.32 , Issue.2 , pp. 177-190
    • Fisher, N.I.1    Hall, P.2
  • 5
    • 0000578922 scopus 로고    scopus 로고
    • Asymptotic approximations of the null distribution of one-way ANOVA test statistic under nonnormality
    • in print
    • Fujikoshi, Y., Ohmae, M., and Yanagihara, H. (1999). Asymptotic approximations of the null distribution of one-way ANOVA test statistic under nonnormality. J. Japan. Statist. Soc. (in print)
    • (1999) J. Japan. Statist. Soc.
    • Fujikoshi, Y.1    Ohmae, M.2    Yanagihara, H.3
  • 6
    • 0000658406 scopus 로고
    • Edgeworth expansion for student's t statistic under minimal moment conditions
    • Hall, P. (1987). Edgeworth expansion for student's t statistic under minimal moment conditions. Ann. Probab., 15, 920-931.
    • (1987) Ann. Probab. , vol.15 , pp. 920-931
    • Hall, P.1
  • 8
    • 0001103640 scopus 로고
    • The comparison of several groups of observations when the ratios of the population variances are unknown
    • James, G. S. (1951). The comparison of several groups of observations when the ratios of the population variances are unknown. Biometrika, 38, 324-329.
    • (1951) Biometrika , vol.38 , pp. 324-329
    • James, G.S.1
  • 9
    • 0002619741 scopus 로고
    • Test of linear hypotheses in univariate and multivariate analysis when ratios of the population variances are unknown
    • James, G. S. (1954). Test of linear hypotheses in univariate and multivariate analysis when ratios of the population variances are unknown. Biometrika, 41, 19-43.
    • (1954) Biometrika , vol.41 , pp. 19-43
    • James, G.S.1
  • 11
    • 0000124902 scopus 로고
    • On the comparison of several mean values: An alternative approach
    • Welch, B. L. (1951). On the comparison of several mean values: an alternative approach. Biometrika, 38, 330-336.
    • (1951) Biometrika , vol.38 , pp. 330-336
    • Welch, B.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.