메뉴 건너뛰기




Volumn 137, Issue 4, 2007, Pages 1213-1225

Easy-to-construct confidence bands for comparing two simple linear regression lines

Author keywords

Comparisons of regression models; Confidence bands; Maximum modulus distribution; Simple linear regression

Indexed keywords


EID: 33845209356     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2006.02.004     Document Type: Article
Times cited : (11)

References (22)
  • 1
    • 33845219084 scopus 로고
    • The problem of testing linear hypotheses about population means when the population variances are not equal and M-test
    • Banerjee S. The problem of testing linear hypotheses about population means when the population variances are not equal and M-test. Sankhya 24A (1962) 363-376
    • (1962) Sankhya , vol.24 A , pp. 363-376
    • Banerjee, S.1
  • 2
    • 20744459174 scopus 로고
    • Simultaneous confidence bands for linear regression models
    • Bowden D.C. Simultaneous confidence bands for linear regression models. J. Amer. Statist. Assoc. 65 (1970) 413-421
    • (1970) J. Amer. Statist. Assoc. , vol.65 , pp. 413-421
    • Bowden, D.C.1
  • 3
    • 0043094438 scopus 로고    scopus 로고
    • Asymptotic sharpness of product-type inequalities for maxima of random variables with applications in multiple comparisons
    • Finner H., and Roters M. Asymptotic sharpness of product-type inequalities for maxima of random variables with applications in multiple comparisons. J. Statist. Plann. Inference 98 (2001) 39-56
    • (2001) J. Statist. Plann. Inference , vol.98 , pp. 39-56
    • Finner, H.1    Roters, M.2
  • 4
    • 0005878770 scopus 로고
    • Confidence bands in straight line regression
    • Gafarian A.V. Confidence bands in straight line regression. J. Amer. Statist. Assoc. 59 (1964) 182-213
    • (1964) J. Amer. Statist. Assoc. , vol.59 , pp. 182-213
    • Gafarian, A.V.1
  • 5
    • 33644500881 scopus 로고
    • Linear segment confidence bands for simple linear regression models
    • Graybill F.A., and Bowden D.C. Linear segment confidence bands for simple linear regression models. J. Amer. Statist. Assoc. 62 (1967) 403-408
    • (1967) J. Amer. Statist. Assoc. , vol.62 , pp. 403-408
    • Graybill, F.A.1    Bowden, D.C.2
  • 7
    • 0012853092 scopus 로고
    • On dependent tests of significance in analysis of variance
    • Kimball A.W. On dependent tests of significance in analysis of variance. Ann. Math. Statist. 22 (1951) 600-602
    • (1951) Ann. Math. Statist. , vol.22 , pp. 600-602
    • Kimball, A.W.1
  • 9
    • 13444255042 scopus 로고    scopus 로고
    • Liu, W., Jamshidian, M., Zhang, Y., Donnelly, J., 2005. Simulation-based simultaneous confidence bands in multiple linear regression with predictor variables constrained in intervals. J. Comput. Graphical Statist., 14(2), 459-484.
  • 10
    • 12444303299 scopus 로고    scopus 로고
    • Exact one-sided simultaneous confidence bands via Uusipaikka's method
    • Pan W., Piegorsch W.W., and West R.W. Exact one-sided simultaneous confidence bands via Uusipaikka's method. Ann. Inst. Statist. Math. 55 2 (2003) 243-250
    • (2003) Ann. Inst. Statist. Math. , vol.55 , Issue.2 , pp. 243-250
    • Pan, W.1    Piegorsch, W.W.2    West, R.W.3
  • 11
    • 0034726170 scopus 로고    scopus 로고
    • Asymmetric confidence bands for simple linear regression over bounded intervals
    • Piegorsch W.W., West R.W., Al-Saidy O.M., and Bradley K.D. Asymmetric confidence bands for simple linear regression over bounded intervals. Comput. Statist. Data Anal. 34 2 (2000) 193-217
    • (2000) Comput. Statist. Data Anal. , vol.34 , Issue.2 , pp. 193-217
    • Piegorsch, W.W.1    West, R.W.2    Al-Saidy, O.M.3    Bradley, K.D.4
  • 12
    • 0005044961 scopus 로고
    • Multiple comparison procedures for pooling batches in stability studies
    • Ruberg S.J., and Hsu J.C. Multiple comparison procedures for pooling batches in stability studies. Technometrics 34 (1992) 465-472
    • (1992) Technometrics , vol.34 , pp. 465-472
    • Ruberg, S.J.1    Hsu, J.C.2
  • 13
    • 0025994367 scopus 로고
    • Pooling data for stability studies: testing the equality of batch degradation slopes
    • Ruberg S.J., and Stegeman J.W. Pooling data for stability studies: testing the equality of batch degradation slopes. Biometrics 47 (1991) 1059-1069
    • (1991) Biometrics , vol.47 , pp. 1059-1069
    • Ruberg, S.J.1    Stegeman, J.W.2
  • 14
    • 8644237020 scopus 로고
    • A method for judging all contrasts in the analysis of variance
    • Scheffe H. A method for judging all contrasts in the analysis of variance. Biometrika 41 (1953) 153-169
    • (1953) Biometrika , vol.41 , pp. 153-169
    • Scheffe, H.1
  • 16
    • 84950660216 scopus 로고
    • Tables of the studentized maximum modulus distribution and an application to multiple comparisons among means
    • Stoline M.R., and Ury H.K. Tables of the studentized maximum modulus distribution and an application to multiple comparisons among means. Technometrics 21 (1979) 87-93
    • (1979) Technometrics , vol.21 , pp. 87-93
    • Stoline, M.R.1    Ury, H.K.2
  • 18
    • 0038891670 scopus 로고
    • Exact confidence bands for linear-regression over intervals
    • Uusipaikka E. Exact confidence bands for linear-regression over intervals. J. Amer. Statist. Assoc. 78 (1983) 638-644
    • (1983) J. Amer. Statist. Assoc. , vol.78 , pp. 638-644
    • Uusipaikka, E.1
  • 19
    • 84870267223 scopus 로고
    • The generalization of "Student's" problem when several different population variances are involved
    • Welch B.L. The generalization of "Student's" problem when several different population variances are involved. Biometrika 34 (1947) 28-35
    • (1947) Biometrika , vol.34 , pp. 28-35
    • Welch, B.L.1
  • 20
    • 0002174694 scopus 로고
    • Applications of the theory of error to the interpretation of trends
    • Working H., and Hotelling H. Applications of the theory of error to the interpretation of trends. J. Amer. Statist. Assoc. 24 (1929) 73-85
    • (1929) J. Amer. Statist. Assoc. , vol.24 , pp. 73-85
    • Working, H.1    Hotelling, H.2
  • 21
    • 0039221892 scopus 로고
    • An exact confidence band for one-dimensional polynomial regression
    • Wynn H.P. An exact confidence band for one-dimensional polynomial regression. Biometrika 71 (1984) 375-379
    • (1984) Biometrika , vol.71 , pp. 375-379
    • Wynn, H.P.1
  • 22
    • 0142127509 scopus 로고
    • Simultaneous confidence bands in regression analysis
    • Wynn H.P., and Bloomfield P. Simultaneous confidence bands in regression analysis. J. Roy. Statist. Soc. B 33 (1971) 202-217
    • (1971) J. Roy. Statist. Soc. B , vol.33 , pp. 202-217
    • Wynn, H.P.1    Bloomfield, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.