메뉴 건너뛰기




Volumn 118, Issue 1-2, 2004, Pages 37-49

A test for homogeneity of ordered means of inverse Gaussian populations

Author keywords

Fisher's combination method; Likelihood ratio test; Normality; Order restricted inference

Indexed keywords


EID: 0142023924     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(02)00396-8     Document Type: Article
Times cited : (8)

References (33)
  • 1
    • 0000135274 scopus 로고
    • Efficient utilization of non-numerical information in quantitative analysis: General theory and the case of simple order
    • Abelson R.P. Tukey J.W. Efficient utilization of non-numerical information in quantitative analysis: general theory and the case of simple order Ann. Math. Statist. 34 1963 1347-1369
    • (1963) Ann. Math. Statist. , vol.34 , pp. 1347-1369
    • Abelson, R.P.1    Tukey, J.W.2
  • 4
    • 0001924469 scopus 로고
    • A test of homogeneity for ordered alternatives
    • Bartholomew D.J. A test of homogeneity for ordered alternatives Biometrika 46 1959 36-48
    • (1959) Biometrika , vol.46 , pp. 36-48
    • Bartholomew, D.J.1
  • 5
    • 0001924470 scopus 로고
    • A test of homogeneity for ordered alternatives II
    • Bartholomew D.J. A test of homogeneity for ordered alternatives II Biometrika 46 1959 328-335
    • (1959) Biometrika , vol.46 , pp. 328-335
    • Bartholomew, D.J.1
  • 6
    • 0001611337 scopus 로고
    • A test of homogeneity of means under restricted alternatives
    • Bartholomew D.J. A test of homogeneity of means under restricted alternatives JRSS(B) 23 1961 239-281
    • (1961) JRSS(B) , vol.23 , pp. 239-281
    • Bartholomew, D.J.1
  • 7
    • 0001460353 scopus 로고
    • Ordered tests in the analysis of variance
    • Bartholomew D.J. Ordered tests in the analysis of variance Biometrika 48 1961 325-332
    • (1961) Biometrika , vol.48 , pp. 325-332
    • Bartholomew, D.J.1
  • 8
    • 0001470071 scopus 로고
    • On statistics independent of a complete sufficient statistics
    • Basu D. On statistics independent of a complete sufficient statistics Sankhya 15 1955 377-380
    • (1955) Sankhya , vol.15 , pp. 377-380
    • Basu, D.1
  • 9
    • 0016357523 scopus 로고
    • On testing for ordered alternatives with an increased sample size for a control
    • Chase G.R. On testing for ordered alternatives with an increased sample size for a control Biometrika 61 1974 569-578
    • (1974) Biometrika , vol.61 , pp. 569-578
    • Chase, G.R.1
  • 10
    • 84990519602 scopus 로고
    • Optimum tests for comparison of two inverse Gaussian distribution means
    • Chhikara R.S. Optimum tests for comparison of two inverse Gaussian distribution means Austral. J. Statist. 17 2 1975 77-83
    • (1975) Austral. J. Statist. , vol.17 , Issue.2 , pp. 77-83
    • Chhikara, R.S.1
  • 11
    • 84988137863 scopus 로고
    • The power of circular cone test: A noncentral chi-bar-squared distribution
    • Conaway M. Pillers C. Robertson T. Sconing J. The power of circular cone test: a noncentral chi-bar-squared distribution Canad. J. Statist. 18 1990 63-70
    • (1990) Canad. J. Statist. , vol.18 , pp. 63-70
    • Conaway, M.1    Pillers, C.2    Robertson, T.3    Sconing, J.4
  • 13
    • 0000995459 scopus 로고
    • The inverse Gaussian distribution and its statistical application-a review
    • Folks J.L. Chhikara R.S. The inverse Gaussian distribution and its statistical application-a review J. Roy. Statist. Soc. Ser. B 40 1978 263-289
    • (1978) J. Roy. Statist. Soc. Ser. B , vol.40 , pp. 263-289
    • Folks, J.L.1    Chhikara, R.S.2
  • 14
    • 0142096252 scopus 로고
    • Iterated tests of the equality of several distributions
    • Hogg R.V. Iterated tests of the equality of several distributions J. Amer. Statist. Assoc. 57 1962 579-585
    • (1962) J. Amer. Statist. Assoc. , vol.57 , pp. 579-585
    • Hogg, R.V.1
  • 15
    • 0001477165 scopus 로고
    • Recent developments in inverse Gaussian distribution
    • Krishnaiah, P.R., Rao, C.R. (Eds.), Elsevier, Amsterdam, New York
    • Iyengar S. Patwardhan G. 1988 Recent developments in inverse Gaussian distribution. In: Krishnaiah, P.R., Rao, C.R. (Eds.), Handbook of Statistics, Vol. 7. Elsevier, Amsterdam, New York, pp. 479-480.
    • (1988) Handbook of Statistics , vol.7 , pp. 479-480
    • Iyengar, S.1    Patwardhan, G.2
  • 17
    • 0142032631 scopus 로고
    • An exact chi-squared decomposition theorem for inverse Gaussian variates
    • Letac G. Seshadri V. Whitmore G.A. An exact chi-squared decomposition theorem for inverse Gaussian variates J. Roy. Statist. Soc. 47 1985 476-481
    • (1985) J. Roy. Statist. Soc. , vol.47 , pp. 476-481
    • Letac, G.1    Seshadri, V.2    Whitmore, G.A.3
  • 18
    • 0008877399 scopus 로고
    • The logit statistic for combining probabilities-an overview
    • J. S. Rustagi (Ed.), New York: Academic Press
    • Mudholkar G.S. George E.O. The logit statistic for combining probabilities-an overview Rustagi J.S. Optimizing Methods in Statistics 1979 345-365 Academic Press New York
    • (1979) Optimizing Methods in Statistics , pp. 345-365
    • Mudholkar, G.S.1    George, E.O.2
  • 19
    • 0001485282 scopus 로고
    • A class of tests for equality of ordered means
    • Mudholkar G.S. McDermott P.R. A class of tests for equality of ordered means Biometrika 76 1989 161-168
    • (1989) Biometrika , vol.76 , pp. 161-168
    • Mudholkar, G.S.1    McDermott, P.R.2
  • 20
    • 6444244868 scopus 로고    scopus 로고
    • The inverse Gaussian models: Analogs of symmetry, skewness and kurtosis
    • Mudholkar G.S. Natarajan R. The inverse Gaussian models: analogs of symmetry, skewness and kurtosis Ann. Inst. Statist. Math. 54 2002 138-154
    • (2002) Ann. Inst. Statist. Math. , vol.54 , pp. 138-154
    • Mudholkar, G.S.1    Natarajan, R.2
  • 21
    • 0001282146 scopus 로고
    • Comparison of several treatments with a control using multiple contrast
    • Mukerjee H. Robertson T. Wright F.T. Comparison of several treatments with a control using multiple contrast J. Amer. Statist. Assoc. 82 1987 902-910
    • (1987) J. Amer. Statist. Assoc. , vol.82 , pp. 902-910
    • Mukerjee, H.1    Robertson, T.2    Wright, F.T.3
  • 22
    • 0000602791 scopus 로고
    • Testing linear hypotheses under restricted alternatives
    • Pincus R. Testing linear hypotheses under restricted alternatives Math. Operationsforsch. Statist. 6 1975 733-751
    • (1975) Math. Operationsforsch. Statist. , vol.6 , pp. 733-751
    • Pincus, R.1
  • 23
    • 0000523185 scopus 로고
    • On approximation of the level probabilities and associated distributions in order restricted inference
    • Robertson T. Wright F.T. On approximation of the level probabilities and associated distributions in order restricted inference Biometrika 70 1983 597-606
    • (1983) Biometrika , vol.70 , pp. 597-606
    • Robertson, T.1    Wright, F.T.2
  • 24
    • 84988129007 scopus 로고
    • One-sided comparisons for treatments with control
    • Robertson T. Wright F.T. One-sided comparisons for treatments with control Canad. J. Statist. 13 1985 109-120
    • (1985) Canad. J. Statist. , vol.13 , pp. 109-120
    • Robertson, T.1    Wright, F.T.2
  • 26
    • 0006806678 scopus 로고
    • Most stringent somewhere most powerful tests against alternatives restricted by a number of linear inequalities
    • Schaafsma W. Smid L.J. Most stringent somewhere most powerful tests against alternatives restricted by a number of linear inequalities Ann. Math. Statist. 37 1966 1161-1172
    • (1966) Ann. Math. Statist. , vol.37 , pp. 1161-1172
    • Schaafsma, W.1    Smid, L.J.2
  • 29
    • 0017152592 scopus 로고
    • Approximate probability integrals and critical values for Bartholomew's test for ordered means
    • Siskind V. Approximate probability integrals and critical values for Bartholomew's test for ordered means Biometrika 63 1976 647-654
    • (1976) Biometrika , vol.63 , pp. 647-654
    • Siskind, V.1
  • 30
    • 0142127919 scopus 로고    scopus 로고
    • The likelihood ratio test for homogeneity of inverse Gaussian means under simple order and simple tree order
    • Under review
    • Tian L. Mudholkar G.S. 2002 The likelihood ratio test for homogeneity of inverse Gaussian means under simple order and simple tree order. Under review.
    • (2002)
    • Tian, L.1    Mudholkar, G.S.2
  • 31
    • 0015025451 scopus 로고
    • A test for differences between treatment means when several dose levels are compared with a zero dose control
    • Williams D.A. A test for differences between treatment means when several dose levels are compared with a zero dose control Biometrika 27 1971 103-117
    • (1971) Biometrika , vol.27 , pp. 103-117
    • Williams, D.A.1
  • 32
    • 0015357959 scopus 로고
    • The comparison of several dose levels are compared with a zero dose control
    • Williams D.A. The comparison of several dose levels are compared with a zero dose control Biometrika 28 1972 519-531
    • (1972) Biometrika , vol.28 , pp. 519-531
    • Williams, D.A.1
  • 33
    • 0010071184 scopus 로고
    • Approximating the level probabilities in order restricted inference: The simple tree ordering
    • Wright F.T. Tran T.A. Approximating the level probabilities in order restricted inference: the simple tree ordering Biometrika 72 1985 429-439
    • (1985) Biometrika , vol.72 , pp. 429-439
    • Wright, F.T.1    Tran, T.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.