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Volumn 36, Issue 5, 2008, Pages 2377-2408

On the Behrens-Fisher Problem: A globally convergent algorithm and a finite-sample study of the wald, LR and LM tests

Author keywords

Algorithm; Behrens Fisher Problem; High dimensional data; Hypothesis testing; Lagrange multiplier test; Likelihood ratio test; Size, power; Wald test

Indexed keywords


EID: 54349110075     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/07-AOS528     Document Type: Article
Times cited : (15)

References (38)
  • 1
    • 0000428487 scopus 로고
    • Ein beitrag zur fehlerberechnung bei wenigen beobachtungen [a contribution to error estimation with few observations]
    • BEHRENS, W. (1929). Ein beitrag zur fehlerberechnung bei wenigen beobachtungen [a contribution to error estimation with few observations]. Landwirtschaftliche Jahrbücher 68 807-837.
    • (1929) Landwirtschaftliche Jahrbücher , vol.68 , pp. 807-837
    • BEHRENS, W.1
  • 2
    • 0000823270 scopus 로고
    • Conflict among criteria for testing hypothesis in the multivariate linear regression model
    • BERNDT, E. and SAVIN, N. E. (1977). Conflict among criteria for testing hypothesis in the multivariate linear regression model. Econometrica 45 1263-1278.
    • (1977) Econometrica , vol.45 , pp. 1263-1278
    • BERNDT, E.1    SAVIN, N.E.2
  • 4
    • 0010825459 scopus 로고
    • Conflict among criteria for testing hypothesis: Extensions and comments
    • BREUSCH, T. S. (1979). Conflict among criteria for testing hypothesis: Extensions and comments. Econometrica 47 203-208.
    • (1979) Econometrica , vol.47 , pp. 203-208
    • BREUSCH, T.S.1
  • 5
    • 38549130370 scopus 로고    scopus 로고
    • Counting and locating the solutions of polynomial systems of maximum likelihood equations. II. The Behrens-Fisher Problem
    • BUOT, M.-L. G. and RICHARDS, D. S. P. (2007). Counting and locating the solutions of polynomial systems of maximum likelihood equations. II. The Behrens-Fisher Problem. Statist. Sinica 17 1343-1354.
    • (2007) Statist. Sinica , vol.17 , pp. 1343-1354
    • BUOT, M.-L.G.1    RICHARDS, D.S.P.2
  • 6
    • 14644397225 scopus 로고    scopus 로고
    • Decision tree state tying using cluster validity criteria
    • CHIEN, J.-T. (2005). Decision tree state tying using cluster validity criteria. IEEE Trans. Speech Trans. Audio Processing 13 182-193.
    • (2005) IEEE Trans. Speech Trans. Audio Processing , vol.13 , pp. 182-193
    • CHIEN, J.-T.1
  • 8
    • 0346421763 scopus 로고
    • Effective degrees of freedom and the likelihood ratio test
    • COX, D. R. (1984). Effective degrees of freedom and the likelihood ratio test. Biometrika 71 487-493.
    • (1984) Biometrika , vol.71 , pp. 487-493
    • COX, D.R.1
  • 9
    • 0000186592 scopus 로고
    • The fiducial argument in statistical inference
    • FISHER, R. A. (1935). The fiducial argument in statistical inference. Ann. Eugenics 6 391-398.
    • (1935) Ann. Eugenics , vol.6 , pp. 391-398
    • FISHER, R.A.1
  • 10
    • 0001622106 scopus 로고
    • The comparison of samples with possibly unequal variances
    • FISHER, R. A. (1939). The comparison of samples with possibly unequal variances. Ann. Eugenics 9 174-180.
    • (1939) Ann. Eugenics , vol.9 , pp. 174-180
    • FISHER, R.A.1
  • 12
    • 0004296209 scopus 로고    scopus 로고
    • 3rd ed. Prentice-Hall Inc, Upper Saddle River, NJ
    • GREENE, W. H. (1997). Econometric Analysis, 3rd ed. Prentice-Hall Inc., Upper Saddle River, NJ.
    • (1997) Econometric Analysis
    • GREENE, W.H.1
  • 14
    • 0001547779 scopus 로고
    • The cutting plane method for solving convex programs
    • KELLEY, J. E. (1960). The cutting plane method for solving convex programs. J. Soc. Indust. Appl. Math. 8 703-712.
    • (1960) J. Soc. Indust. Appl. Math , vol.8 , pp. 703-712
    • KELLEY, J.E.1
  • 16
    • 0011094271 scopus 로고
    • A practical solution to the multivariate Behrens-Fisher Problem
    • KIM, S.-J. (1992). A practical solution to the multivariate Behrens-Fisher Problem. Biometrika 79 171-176.
    • (1992) Biometrika , vol.79 , pp. 171-176
    • KIM, S.-J.1
  • 18
    • 0347533866 scopus 로고    scopus 로고
    • Modified Nel and Van der Merwe test for the multivariate Behrens-Fisher Problem
    • KRISHNAMOORTHY, K. and YU, J. (2004). Modified Nel and Van der Merwe test for the multivariate Behrens-Fisher Problem. Statist. Probab. Lett. 66 161-169.
    • (2004) Statist. Probab. Lett , vol.66 , pp. 161-169
    • KRISHNAMOORTHY, K.1    YU, J.2
  • 21
    • 0000420111 scopus 로고
    • 2 multivariate quality control procedure
    • 2 multivariate quality control procedure. The Statistician 36 571-581.
    • (1987) The Statistician , vol.36 , pp. 571-581
    • MURPHY, B.J.1
  • 23
    • 0001151666 scopus 로고
    • A sequential analogue of the Behrens-Fisher Problem
    • ROBBINS, H., SIMONS, G. and STARR, N. (1967). A sequential analogue of the Behrens-Fisher Problem. Ann. Math. Statist. 38 1384-1391.
    • (1967) Ann. Math. Statist , vol.38 , pp. 1384-1391
    • ROBBINS, H.1    SIMONS, G.2    STARR, N.3
  • 25
    • 0040901511 scopus 로고
    • Conflict among testing procedures in a linear regression model with autoregressive disturbances
    • SAVIN, N. E. (1976). Conflict among testing procedures in a linear regression model with autoregressive disturbances. Econometrica 44 1303-1315.
    • (1976) Econometrica , vol.44 , pp. 1303-1315
    • SAVIN, N.E.1
  • 26
    • 0038342877 scopus 로고
    • On solutions of the Behrens-Fisher Problem, based on the t-distribution
    • SCHEFFÉ, H. (1943). On solutions of the Behrens-Fisher Problem, based on the t-distribution. Ann. Math. Statist. 14 35-44.
    • (1943) Ann. Math. Statist , vol.14 , pp. 35-44
    • SCHEFFÉ, H.1
  • 27
    • 84950655779 scopus 로고
    • Practical solutions of the Behrens-Fisher Problem
    • SCHEFFÉ, H. (1970). Practical solutions of the Behrens-Fisher Problem. J. Amer. Statist. Assoc. 65 1501-1508.
    • (1970) J. Amer. Statist. Assoc , vol.65 , pp. 1501-1508
    • SCHEFFÉ, H.1
  • 28
    • 0022782374 scopus 로고
    • Controlling hospital cost inflation: New perspectives on state rate setting
    • Fall
    • SCHRAMM, C., RENN, S. and BILES, B. (1986). Controlling hospital cost inflation: New perspectives on state rate setting. Health Affairs Fall 22-33.
    • (1986) Health Affairs , pp. 22-33
    • SCHRAMM, C.1    RENN, S.2    BILES, B.3
  • 31
    • 33748424308 scopus 로고    scopus 로고
    • Multivariate theory for analyzing high-dimensional data
    • To appear
    • SRIVASTAVA, M. S. (2007). Multivariate theory for analyzing high-dimensional data. J. Japan Statist. Soc. To appear.
    • (2007) J. Japan Statist. Soc
    • SRIVASTAVA, M.S.1
  • 33
    • 33749213445 scopus 로고
    • On the multivariate Behrens-Fisher problem
    • SUBRAHMANIAM, K. and SUBRAHMANIAM, K. (1973). On the multivariate Behrens-Fisher problem. Biometrika 60 107-111.
    • (1973) Biometrika , vol.60 , pp. 107-111
    • SUBRAHMANIAM, K.1    SUBRAHMANIAM, K.2
  • 34
    • 0000576729 scopus 로고
    • The significance of the difference between two means when the population variances are unequal
    • WELCH, B. L. (1938). The significance of the difference between two means when the population variances are unequal. Biometrika 29 350-362.
    • (1938) Biometrika , vol.29 , pp. 350-362
    • WELCH, B.L.1
  • 35
    • 84870267223 scopus 로고
    • The generalization of 'Student's' problem when several different population variances are involved
    • WELCH, B. L. (1947). The generalization of 'Student's' problem when several different population variances are involved. Biometrika 34 28-35.
    • (1947) Biometrika , vol.34 , pp. 28-35
    • WELCH, B.L.1
  • 36
    • 29144534958 scopus 로고    scopus 로고
    • Three approximate solutions to the multivariate Behrens-Fisher Problem
    • YANAGIHARA, Y. and YUAN, K.-H. (2005). Three approximate solutions to the multivariate Behrens-Fisher Problem. Comm. Statist. - Simul. Comput. 34 975-988.
    • (2005) Comm. Statist. - Simul. Comput , vol.34 , pp. 975-988
    • YANAGIHARA, Y.1    YUAN, K.-H.2
  • 37
    • 0001146516 scopus 로고
    • An approximate degrees of freedom solution to the multivariate Behrens-Fisher Problem
    • YAO, Y. (1965). An approximate degrees of freedom solution to the multivariate Behrens-Fisher Problem. Biometrika 52 139-147.
    • (1965) Biometrika , vol.52 , pp. 139-147
    • YAO, Y.1
  • 38
    • 0008975068 scopus 로고
    • A new complexity result on minimization of a quadratic function with a sphere constraint
    • C. Floudas and P. Pardalos, eds, Princeton Univ. Press
    • YE, Y. (1992). A new complexity result on minimization of a quadratic function with a sphere constraint. In Recent Advances in Global Optimization (C. Floudas and P. Pardalos, eds.) 19-31. Princeton Univ. Press.
    • (1992) Recent Advances in Global Optimization , pp. 19-31
    • YE, Y.1


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