메뉴 건너뛰기




Volumn 33, Issue 1, 2005, Pages 1-53

Discussion paper analysis of variance - Why it is more important than ever

Author keywords

ANOVA; Bayesian inference; Fixed effects; Hierarchical model; Linear regression; Multilevel model; Random effects; Variance components

Indexed keywords


EID: 18444393093     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053604000001048     Document Type: Article
Times cited : (543)

References (78)
  • 1
    • 84916537550 scopus 로고
    • Bayesian analysis of binary and polychotomous response data
    • ALBERT, J. H. and CHIB, S. (1993). Bayesian analysis of binary and polychotomous response data. J. Amer. Statist. Assoc. 88 669-679.
    • (1993) J. Amer. Statist. Assoc. , vol.88 , pp. 669-679
    • Albert, J.H.1    Chib, S.2
  • 2
    • 0001090598 scopus 로고
    • Representations for partially exchangeable arrays of random variables
    • ALDOUS, D. J. (1981). Representations for partially exchangeable arrays of random variables. J. Multivariate Anal. 11 581-598.
    • (1981) J. Multivariate Anal. , vol.11 , pp. 581-598
    • Aldous, D.J.1
  • 3
    • 18444377224 scopus 로고    scopus 로고
    • State-level opinions from national polls
    • Dept. Political Science, Columbia Univ.
    • BAFUMI, J., GELMAN, A. and PARK, D. K. (2002). State-level opinions from national polls. Technical report, Dept. Political Science, Columbia Univ.
    • (2002) Technical Report
    • Bafumi, J.1    Gelman, A.2    Park, D.K.3
  • 4
    • 0033482454 scopus 로고    scopus 로고
    • Bayesian analysis of agricultural field experiments
    • BESAG, J. and HIGDON, D. (1999). Bayesian analysis of agricultural field experiments (with discussion). J. R. Stat. Soc. Ser. B Stat. Methodol. 61 691-746.
    • (1999) J. R. Stat. Soc. Ser. B Stat. Methodol. , vol.61 , pp. 691-746
    • Besag, J.1    Higdon, D.2
  • 8
    • 0042306266 scopus 로고    scopus 로고
    • The practical implementation of Bayesian model selection
    • (P. Lahiri, ed.) . IMS, Beachwood, Ohio
    • CHIPMAN, H., GEORGE, E. I. and MCCULLOCH, R. E. (2001). The practical implementation of Bayesian model selection. In Model Selection (P. Lahiri, ed.) 67-116. IMS, Beachwood, Ohio.
    • (2001) Model Selection , pp. 67-116
    • Chipman, H.1    George, E.I.2    Mcculloch, R.E.3
  • 10
    • 0000245180 scopus 로고
    • Average values of mean squares in factorials
    • CORNFIELD, J. and TUKEY, J. W. (1956). Average values of mean squares in factorials. Ann. Math. Statist. 27 907-949.
    • (1956) Ann. Math. Statist. , vol.27 , pp. 907-949
    • Cornfield, J.1    Tukey, J.W.2
  • 13
    • 84872645713 scopus 로고
    • The assumptions underlying the analysis of variance
    • EISENHART, C. (1947). The assumptions underlying the analysis of variance. Biometrics 3 1-21.
    • (1947) Biometrics , vol.3 , pp. 1-21
    • Eisenhart, C.1
  • 15
    • 84860935686 scopus 로고
    • Discussion of "Maximum entropy and the nearly black object"
    • by D. Donoho et al.
    • GELMAN, A. (1992). Discussion of "Maximum entropy and the nearly black object," by D. Donoho et al. J. Roy. Statist. Soc. Ser. B 54 72-73.
    • (1992) J. Roy. Statist. Soc. Ser. B , vol.54 , pp. 72-73
    • Gelman, A.1
  • 16
    • 0041081986 scopus 로고    scopus 로고
    • Discussion of "Hierarchical generalized linear models,"
    • by Y. Lee and J. A. Nelder.
    • GELMAN, A. (1996). Discussion of "Hierarchical generalized linear models," by Y. Lee and J. A. Nelder. J. Roy. Statist. Soc. Ser. B 58 668.
    • (1996) J. Roy. Statist. Soc. Ser. B , vol.58 , pp. 668
    • Gelman, A.1
  • 17
    • 18444402348 scopus 로고    scopus 로고
    • Bayesiaanse variantieanalyse
    • GELMAN, A. (2000). Bayesiaanse variantieanalyse. Kwantitatieve Methoden 21 5-12.
    • (2000) Kwantitatieve Methoden , vol.21 , pp. 5-12
    • Gelman, A.1
  • 19
    • 2942628165 scopus 로고    scopus 로고
    • Parameterization and Bayesian modeling
    • GELMAN, A. (2004). Parameterization and Bayesian modeling. J. Amer. Statist. Assoc. 99 537-545.
    • (2004) J. Amer. Statist. Assoc. , vol.99 , pp. 537-545
    • Gelman, A.1
  • 21
    • 0040488008 scopus 로고    scopus 로고
    • Poststratification into many categories using hierarchical logistic regression
    • GELMAN, A. and LITTLE, T. C. (1997). Poststratification into many categories using hierarchical logistic regression. Survey Methodology 23 127-135.
    • (1997) Survey Methodology , vol.23 , pp. 127-135
    • Gelman, A.1    Little, T.C.2
  • 22
    • 0035995698 scopus 로고    scopus 로고
    • Let's practice what we preach: Turning tables into graphs
    • GELMAN, A., PASARICA, C. and DODHIA, R. M. (2002). Let's practice what we preach: Turning tables into graphs. Amer. Statist. 56 121-130.
    • (2002) Amer. Statist. , vol.56 , pp. 121-130
    • Gelman, A.1    Pasarica, C.2    Dodhia, R.M.3
  • 25
    • 0001658701 scopus 로고
    • Complex analyses of variance: General problems
    • GREEN, B. F. and TUKEY, J. W. (1960). Complex analyses of variance: General problems. Psychometrika 25 127-152.
    • (1960) Psychometrika , vol.25 , pp. 127-152
    • Green, B.F.1    Tukey, J.W.2
  • 27
    • 10244237399 scopus 로고
    • Graphical exploratory analysis of variance illustrated on a splitting of the Johnson and Tsao data
    • (C. Mallows, ed.) . Wiley, New York
    • JOHNSON, E. G. and TUKEY, J. W. (1987). Graphical exploratory analysis of variance illustrated on a splitting of the Johnson and Tsao data. In Design, Data and Analysis by Some Friends of Cuthbert Daniel (C. Mallows, ed.) 171-244. Wiley, New York.
    • (1987) Design, Data and Analysis by Some Friends of Cuthbert Daniel , pp. 171-244
    • Johnson, E.G.1    Tukey, J.W.2
  • 31
    • 18444397616 scopus 로고
    • Fixed-, random-, and mixed-effects models
    • (S. Kotz, N. L. Johnson and C. B. Read, eds.) . Wiley, New York
    • LAMOTTE, L. R. (1983). Fixed-, random-, and mixed-effects models. In Encyclopedia of Statistical Sciences (S. Kotz, N. L. Johnson and C. B. Read, eds.) 3 137-141. Wiley, New York.
    • (1983) Encyclopedia of Statistical Sciences , vol.3 , pp. 137-141
    • LaMotte, L.R.1
  • 32
    • 18444409252 scopus 로고    scopus 로고
    • Robit regression: A simple robust alternative to logistic and probit regression
    • Bell Laboratories
    • LIU, C. (2002). Robit regression: A simple robust alternative to logistic and probit regression. Technical report, Bell Laboratories.
    • (2002) Technical Report
    • Liu, C.1
  • 33
    • 0001508169 scopus 로고    scopus 로고
    • Parameter expansion to accelerate EM - The PX-EM algorithm
    • LIU, C., RUBIN, D. B. and WU, Y. N. (1998). Parameter expansion to accelerate EM - the PX-EM algorithm. Biometrika 85 755-770.
    • (1998) Biometrika , vol.85 , pp. 755-770
    • Liu, C.1    Rubin, D.B.2    Wu, Y.N.3
  • 34
    • 0442309501 scopus 로고    scopus 로고
    • Parameter expansion for data augmentation
    • LIU, J. and WU, Y. N. (1999). Parameter expansion for data augmentation. J. Amer. Statist. Assoc. 94 1264-1274.
    • (1999) J. Amer. Statist. Assoc. , vol.94 , pp. 1264-1274
    • Liu, J.1    Wu, Y.N.2
  • 35
    • 18244387717 scopus 로고    scopus 로고
    • The EM algorithm - An old folk-song sung to a fast new tune
    • MENG, X.-L. and VAN DYK, D. (1997). The EM algorithm - an old folk-song sung to a fast new tune (with discussion). J. Roy. Statist. Soc. Ser. B 59 511-567.
    • (1997) J. Roy. Statist. Soc. Ser. B , vol.59 , pp. 511-567
    • Meng, X.-L.1    Van Dyk, D.2
  • 37
    • 0001234954 scopus 로고
    • The analysis of randomized experiments with orthogonal block structure. I. Block structure and the null analysis of variance
    • NELDER, J. A. (1965a). The analysis of randomized experiments with orthogonal block structure. I. Block structure and the null analysis of variance. Proc. Roy. Soc. London Ser. A 283 147-162.
    • (1965) Proc. Roy. Soc. London Ser. A , vol.283 , pp. 147-162
    • Nelder, J.A.1
  • 38
    • 0001234954 scopus 로고
    • The analysis of randomized experiments with orthogonal block structure. II. Treatment structure and the general analysis of variance
    • NELDER, J. A. (1965b). The analysis of randomized experiments with orthogonal block structure. II. Treatment structure and the general analysis of variance. Proc. Roy. Soc. London Ser. A 283 163-178.
    • (1965) Proc. Roy. Soc. London Ser. A , vol.283 , pp. 163-178
    • Nelder, J.A.1
  • 39
    • 0002534858 scopus 로고
    • A reformulation of linear models
    • NELDER, J. A. (1977). A reformulation of linear models (with discussion). J. Roy. Statist. Soc. Ser. A 140 48-76.
    • (1977) J. Roy. Statist. Soc. Ser. A , vol.140 , pp. 48-76
    • Nelder, J.A.1
  • 40
    • 0000076874 scopus 로고
    • The statistics of linear models: Back to basics
    • NELDER, J. A. (1994). The statistics of linear models: Back to basics. Statist. Comput. 4 221-234.
    • (1994) Statist. Comput. , vol.4 , pp. 221-234
    • Nelder, J.A.1
  • 41
    • 0043115390 scopus 로고
    • Models in the analysis of variance
    • PLACKETT, R. L. (1960). Models in the analysis of variance (with discussion). J. Roy. Statist. Soc. Ser. B 22 195-217.
    • (1960) J. Roy. Statist. Soc. Ser. B , vol.22 , pp. 195-217
    • Plackett, R.L.1
  • 44
    • 84972496336 scopus 로고
    • That BLUP is a good thing: The estimation of random effects
    • ROBINSON, G. K. (1991). That BLUP is a good thing: The estimation of random effects (with discussion). Statist. Sci. 6 15-51.
    • (1991) Statist. Sci. , vol.6 , pp. 15-51
    • Robinson, G.K.1
  • 45
    • 18444367265 scopus 로고    scopus 로고
    • Variance components
    • (P. Armitage and T. Colton, eds.) . Wiley, Chichester
    • ROBINSON, G. K. (1998). Variance components. In Encyclopedia of Bio statistics (P. Armitage and T. Colton, eds.) 6 4713-4719. Wiley, Chichester.
    • (1998) Encyclopedia of Bio Statistics , vol.6 , pp. 4713-4719
    • Robinson, G.K.1
  • 46
    • 0000656694 scopus 로고
    • Estimation in parallel randomized experiments
    • RUBIN, D. B. (1981). Estimation in parallel randomized experiments. J. Educational Statistics 6 377-401.
    • (1981) J. Educational Statistics , vol.6 , pp. 377-401
    • Rubin, D.B.1
  • 47
    • 18444392863 scopus 로고    scopus 로고
    • Smoothed ANOVA with application to subgroup analysis
    • Dept. Biostatistics, Univ. Minnesota
    • SARGENT, D. J. and HODGES, J. S. (1997). Smoothed ANOVA with application to subgroup analysis. Technical report, Dept. Biostatistics, Univ. Minnesota.
    • (1997) Technical Report
    • Sargent, D.J.1    Hodges, J.S.2
  • 51
    • 0000378370 scopus 로고
    • What is an analysis of variance?
    • SPEED, T. P. (1987). What is an analysis of variance? (with discussion). Ann. Statist. 15 885-941.
    • (1987) Ann. Statist. , vol.15 , pp. 885-941
    • Speed, T.P.1
  • 53
    • 84960611451 scopus 로고
    • Pre-election survey methodology: Details from eight polling organizations, 1988 and 1992
    • Voss, D. S., GELMAN, A. and KING, G. (1995). Pre-election survey methodology: Details from eight polling organizations, 1988 and 1992. Public Opinion Quarterly 59 98-132.
    • (1995) Public Opinion Quarterly , vol.59 , pp. 98-132
    • Voss, D.S.1    Gelman, A.2    King, G.3
  • 54
    • 2442425522 scopus 로고
    • A fresh look at the basic principles of the design and analysis of experiments
    • Univ. California Press, Berkeley
    • YATES, F. (1967). A fresh look at the basic principles of the design and analysis of experiments. Proc. Fifth Berkeley Symp. Math. Statist. Probab. 4 777-790. Univ. California Press, Berkeley.
    • (1967) Proc. Fifth Berkeley Symp. Math. Statist. Probab. , vol.4 , pp. 777-790
    • Yates, F.1
  • 56
  • 58
    • 0002795675 scopus 로고
    • Extended use of paired comparison models with application to chess rankings
    • JOE, H. (1990). Extended use of paired comparison models with application to chess rankings. Appl. Statist. 39 85-93.
    • (1990) Appl. Statist. , vol.39 , pp. 85-93
    • Joe, H.1
  • 60
    • 0002314384 scopus 로고
    • Demographic gravitation: Evidence and application
    • STEWART, J. Q. (1948). Demographic gravitation: Evidence and application. Sociometry 11 31-58.
    • (1948) Sociometry , vol.11 , pp. 31-58
    • Stewart, J.Q.1
  • 61
    • 33847463005 scopus 로고
    • Citation patterns in the journals of statistics and probability
    • STIGLER, S. M. (1994). Citation patterns in the journals of statistics and probability. Statist. Sci. 9 94-108.
    • (1994) Statist. Sci. , vol.9 , pp. 94-108
    • Stigler, S.M.1
  • 62
    • 4243116199 scopus 로고
    • Named and faceless values: An initial exploration in memory of Prasanta C. Mahalanobis
    • TUKEY, J. W. (1974). Named and faceless values: An initial exploration in memory of Prasanta C. Mahalanobis. Sankhyā Ser. A 36 125-176.
    • (1974) Sankhyā Ser. A , vol.36 , pp. 125-176
    • Tukey, J.W.1
  • 63
    • 0000608177 scopus 로고
    • A comparison of GCV and GML for choosing the smoothing parameter in the generalized spline smoothing problem
    • WAHBA, G. (1985). A comparison of GCV and GML for choosing the smoothing parameter in the generalized spline smoothing problem. Ann. Statist. 13 1378-1402.
    • (1985) Ann. Statist. , vol.13 , pp. 1378-1402
    • Wahba, G.1
  • 66
    • 0000298252 scopus 로고    scopus 로고
    • The intrinsic Bayes factor for model selection and prediction
    • BERGER, J. O. and PERICCHI, L. (1996). The intrinsic Bayes factor for model selection and prediction. J. Amer. Statist. Assoc. 91 109-122.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 109-122
    • Berger, J.O.1    Pericchi, L.2
  • 70
    • 0042742904 scopus 로고
    • Posterior predictive p-values
    • MENG, X.-L. (1994). Posterior predictive p-values. Ann. Statist. 22 1142-1160.
    • (1994) Ann. Statist. , vol.22 , pp. 1142-1160
    • Meng, X.-L.1
  • 71
    • 0000439370 scopus 로고
    • Bayesianly justifiable and relevant frequency calculations for the applied statistician
    • RUBIN, D. B. (1984). Bayesianly justifiable and relevant frequency calculations for the applied statistician. Ann. Statist. 12 1151-1172.
    • (1984) Ann. Statist. , vol.12 , pp. 1151-1172
    • Rubin, D.B.1
  • 72
    • 0020082708 scopus 로고
    • Variations in medical care among small areas
    • WENNBERG, J. E. and GITTELSOHN, A. (1982). Variations in medical care among small areas. Scientific American 246(4) 120-134.
    • (1982) Scientific American , vol.246 , Issue.4 , pp. 120-134
    • Wennberg, J.E.1    Gittelsohn, A.2
  • 73
    • 4844229249 scopus 로고    scopus 로고
    • Plan, geographical, and temporal variation of consumer assessments of ambulatory health care
    • ZASLAVSKY, A. M., ZABORSKI, L. B. and CLEARY, P. D. (2004). Plan, geographical, and temporal variation of consumer assessments of ambulatory health care. Health Services Res. 39 1467-1485.
    • (2004) Health Services Res. , vol.39 , pp. 1467-1485
    • Zaslavsky, A.M.1    Zaborski, L.B.2    Cleary, P.D.3
  • 74
    • 0030328027 scopus 로고    scopus 로고
    • Physiological pharmacokinetic analysis using population modeling and informative prior distributions
    • ANDREW GELMAN Columbia University GELMAN, A., Bois, F. Y. and JIANG, J. (1996). Physiological pharmacokinetic analysis using population modeling and informative prior distributions. J. Amer. Statist. Assoc. 91 1400-1412.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 1400-1412
    • Gelman, A.1    Bois, F.Y.2    Jiang, J.3
  • 75
    • 18444367859 scopus 로고    scopus 로고
    • Estimating incumbency advantage and its variation, as an example of a before/after study
    • To appear
    • GELMAN, A. and HUANG, Z. (2005). Estimating incumbency advantage and its variation, as an example of a before/after study. J. Amer. Statist. Assoc. To appear.
    • (2005) J. Amer. Statist. Assoc.
    • Gelman, A.1    Huang, Z.2
  • 76
    • 0001015815 scopus 로고
    • Estimating a population of parameter values using Bayes and empirical Bayes methods
    • Louts, T. A. (1984). Estimating a population of parameter values using Bayes and empirical Bayes methods. J. Amer. Statist. Assoc. 79 393-398.
    • (1984) J. Amer. Statist. Assoc. , vol.79 , pp. 393-398
    • Louts, T.A.1
  • 78
    • 21144438842 scopus 로고    scopus 로고
    • Bayesian multilevel estimation with poststratification: State-level estimates from national polls
    • PARK, D. K., GELMAN, A. and BAFUMI, J. (2004). Bayesian multilevel estimation with poststratification: State-level estimates from national polls. Political Analysis 12 375-385.
    • (2004) Political Analysis , vol.12 , pp. 375-385
    • Park, D.K.1    Gelman, A.2    Bafumi, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.