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Volumn 127, Issue 1-2, 2005, Pages 157-177

On confidence intervals for the among-group variance in the one-way random effects model with unequal error variances

Author keywords

Among group variance; ANOVA type and ASR type estimators of variance components; Convexity; Unequal error variances; Wald type confidence interval

Indexed keywords


EID: 5444265146     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2003.09.032     Document Type: Article
Times cited : (21)

References (20)
  • 1
    • 0016153489 scopus 로고
    • Confidence intervals for variance components - A comparative Monte Carlo study
    • Boardman T.J. Confidence intervals for variance components - a comparative Monte Carlo study Biometrics 30 1974 251-262
    • (1974) Biometrics , vol.30 , pp. 251-262
    • Boardman, T.J.1
  • 2
    • 0000943899 scopus 로고
    • Confidence intervals on the among group variance component in the unbalanced one-fold nested design
    • Burdick R.K. Eickman J. Confidence intervals on the among group variance component in the unbalanced one-fold nested design J. Statist. Comput. Simulation 26 1986 205-219
    • (1986) J. Statist. Comput. Simulation , vol.26 , pp. 205-219
    • Burdick, R.K.1    Eickman, J.2
  • 3
    • 0001143165 scopus 로고
    • Problems arising in the analysis of a series of similar experiments
    • Cochran W.G. Problems arising in the analysis of a series of similar experiments J. Roy. Statist. Soc. 4 Suppl. 1937 102-118
    • (1937) J. Roy. Statist. Soc. , vol.4 , Issue.SUPPL. , pp. 102-118
    • Cochran, W.G.1
  • 4
    • 41049093347 scopus 로고
    • The combination of estimates from different experiments
    • Cochran W.G. The combination of estimates from different experiments Biometrics 10 1954 101-129
    • (1954) Biometrics , vol.10 , pp. 101-129
    • Cochran, W.G.1
  • 5
    • 0033263106 scopus 로고    scopus 로고
    • An alternative method for meta-analysis
    • Hartung J. An alternative method for meta-analysis Biometrical J. 41 1999 901-916
    • (1999) Biometrical J. , vol.41 , pp. 901-916
    • Hartung, J.1
  • 6
    • 5444271802 scopus 로고    scopus 로고
    • Confidence intervals on the among group variance component in an unbalanced and heteroscedastic one-way random effects model
    • Hartung J. Argaç D. Confidence intervals on the among group variance component in an unbalanced and heteroscedastic one-way random effects model Statist. Decisions 20 2002 331-353
    • (2002) Statist. Decisions , vol.20 , pp. 331-353
    • Hartung, J.1    Argaç, D.2
  • 7
    • 0034349079 scopus 로고    scopus 로고
    • Confidence intervals for the between group variance in the unbalanced one-way random effects model of analysis of variance
    • Hartung J. Knapp G. Confidence intervals for the between group variance in the unbalanced one-way random effects model of analysis of variance J. Statist. Comput. Simulation 65 2000 311-323
    • (2000) J. Statist. Comput. Simulation , vol.65 , pp. 311-323
    • Hartung, J.1    Knapp, G.2
  • 8
    • 0000722255 scopus 로고
    • Approximate confidence limits on the mean of X + Y where X and Y are two tabled independent random variables
    • Howe W.G. Approximate confidence limits on the mean of X + Y where X and Y are two tabled independent random variables J. Amer. Statist. Assoc. 69 1974 789-794
    • (1974) J. Amer. Statist. Assoc. , vol.69 , pp. 789-794
    • Howe, W.G.1
  • 9
    • 0003074497 scopus 로고
    • Variance of a weighted mean
    • Meier P. Variance of a weighted mean Biometrics 9 1953 59-73
    • (1953) Biometrics , vol.9 , pp. 59-73
    • Meier, P.1
  • 10
    • 0030191294 scopus 로고    scopus 로고
    • The modification of confidence intervals for variance components in one-way random model using Stein's approach
    • Molinski K. The modification of confidence intervals for variance components in one-way random model using Stein's approach J. Statist. Plann. Inference 52 1996 323-329
    • (1996) J. Statist. Plann. Inference , vol.52 , pp. 323-329
    • Molinski, K.1
  • 12
    • 78651023100 scopus 로고
    • 2- and F-distributions and their applications
    • 2- and F-distributions and their applications Biometrika 36 1949 202-232
    • (1949) Biometrika , vol.36 , pp. 202-232
    • Patnaik, P.B.1
  • 13
    • 0003028884 scopus 로고
    • Estimators for the one-way random effects model with unequal error variances
    • Rao P.S.R.S. Kaplan J. Cochran W.G. Estimators for the one-way random effects model with unequal error variances J. Amer. Statist. Assoc. 76 1981 89-97
    • (1981) J. Amer. Statist. Assoc. , vol.76 , pp. 89-97
    • Rao, P.S.R.S.1    Kaplan, J.2    Cochran, W.G.3
  • 14
    • 0001508168 scopus 로고
    • Interval estimation for the unbalanced case of the one-way random effects model
    • Thomas J.D. Hultquist R.A. Interval estimation for the unbalanced case of the one-way random effects model Ann. Statist. 6 1978 582-587
    • (1978) Ann. Statist. , vol.6 , pp. 582-587
    • Thomas, J.D.1    Hultquist, R.A.2
  • 15
    • 0000440236 scopus 로고
    • Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters
    • Tsui K.-W. Weerahandi S. Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters J. Amer. Statist. Assoc. 84 1989 602-607
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 602-607
    • Tsui, K.-W.1    Weerahandi, S.2
  • 16
    • 0002467262 scopus 로고
    • Components in regression
    • Tukey J.W. Components in regression Biometrics 7 1951 33-69
    • (1951) Biometrics , vol.7 , pp. 33-69
    • Tukey, J.W.1
  • 17
    • 0003133891 scopus 로고
    • A note on the analysis of variance with unequal class frequencies
    • Wald A. A note on the analysis of variance with unequal class frequencies Ann. Math. Statist. 11 1940 96-100
    • (1940) Ann. Math. Statist. , vol.11 , pp. 96-100
    • Wald, A.1
  • 18
    • 0025140843 scopus 로고
    • On the lower bound of confidence coefficients for a confidence interval on variance components
    • Wang C.M. On the lower bound of confidence coefficients for a confidence interval on variance components Biometrics 46 1990 187-192
    • (1990) Biometrics , vol.46 , pp. 187-192
    • Wang, C.M.1
  • 19
    • 0000976320 scopus 로고
    • A confidence interval for variance components
    • Williams J.S. A confidence interval for variance components Biometrika 49 1962 278-281
    • (1962) Biometrika , vol.49 , pp. 278-281
    • Williams, J.S.1
  • 20
    • 0037407073 scopus 로고    scopus 로고
    • Between group variance component interval estimation for the unbalanced heteroscedastic one-way random effects model
    • Wimmer G. Witkovský V. Between group variance component interval estimation for the unbalanced heteroscedastic one-way random effects model J. Statist. Comput. Simulation 73 2003 333-346
    • (2003) J. Statist. Comput. Simulation , vol.73 , pp. 333-346
    • Wimmer, G.1    Witkovský, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.