메뉴 건너뛰기




Volumn 1, Issue 3, 2009, Pages 271-282

Analysis of variance concepts and computations

Author keywords

[No Author keywords available]

Indexed keywords

CATEGORICAL VARIABLES; COVARIANCE MODEL SELECTION; DIGITAL ELECTRONICS; ERROR ACCUMULATION; FUTURE DIRECTIONS; GAUSSIANS; GENERAL METHOD; GROUP SIZE; ITERATIVE SOLUTIONS; MISSING DATA; MIXED MODELS; MODEL APPROACH; MODELING ERRORS; MULTIVARIATE METHODS; ONE-FACTOR; SCIENTIFIC MODELING; STATISTICAL THEORY; STUDY DESIGN;

EID: 78651542011     PISSN: 19395108     EISSN: 19390068     Source Type: Journal    
DOI: 10.1002/wics.43     Document Type: Review
Times cited : (4)

References (64)
  • 1
    • 0000235653 scopus 로고
    • Some theorems on quadratic forms applied in the study of analysis of variance problems: I. Effects of inequality of variance in the one-way classification
    • Box GEP. Some theorems on quadratic forms applied in the study of analysis of variance problems: I. Effects of inequality of variance in the one-way classification. Ann Math Stat 1954a, 25: 290-302.
    • (1954) Ann Math Stat , vol.25 , pp. 290-302
    • Box, G.E.P.1
  • 2
    • 0000235654 scopus 로고
    • Some theorems on quadratic forms applied in the study of analysis of variance problems: II. Effects of inequality of variance and of correlation between errors in the two-way classification
    • Box GEP. Some theorems on quadratic forms applied in the study of analysis of variance problems: II. Effects of inequality of variance and of correlation between errors in the two-way classification. Ann Math Stat 1954b, 25:484-498.
    • (1954) Ann Math Stat , vol.25 , pp. 484-498
    • Box, G.E.P.1
  • 3
    • 78651528437 scopus 로고    scopus 로고
    • Box GEP, Cox DR. An analysis of transformations. J Roy Stat Soc B 1964, 26: 211-243 (with discussion, 244-252).
    • Box GEP, Cox DR. An analysis of transformations. J Roy Stat Soc B 1964, 26: 211-243 (with discussion, 244-252).
  • 4
    • 0034732658 scopus 로고    scopus 로고
    • Tests for Gaussian repeated measures with missing data in small samples
    • Catellier DJ, Muller KE. Tests for Gaussian repeated measures with missing data in small samples. Stat Med 2000,19:1101-1114.
    • (2000) Stat Med , vol.19 , pp. 1101-1114
    • Catellier, D.J.1    Muller, K.E.2
  • 7
    • 78651539011 scopus 로고    scopus 로고
    • Fisher RA. Statistical Methods for Research Workers. 13th ed. Oliver & Boyd: Edinburgh; 1925/1970. Fowlkes EB. Some operators for ANOVA calculations. Technometrics 1969, 11: 511-526.
    • Fisher RA. Statistical Methods for Research Workers. 13th ed. Oliver & Boyd: Edinburgh; 1925/1970. Fowlkes EB. Some operators for ANOVA calculations. Technometrics 1969, 11: 511-526.
  • 8
    • 0000225111 scopus 로고
    • An extension of Box's results on the use of the F distribution in multivariate analysis
    • Geisser S, Greenhouse SW. An extension of Box's results on the use of the F distribution in multivariate analysis. Ann Math Stat 1958, 29: 885-891.
    • (1958) Ann Math Stat , vol.29 , pp. 885-891
    • Geisser, S.1    Greenhouse, S.W.2
  • 9
    • 18444393093 scopus 로고    scopus 로고
    • Analysis of Variance - why it is more important than ever
    • especially important, Discussion by McCullagh
    • Gelman A. Analysis of Variance - why it is more important than ever. Ann Stat 2005, 33: 1-53(Discussion by McCullagh especially important).
    • (2005) Ann Stat , vol.33 , pp. 1-53
    • Gelman, A.1
  • 11
    • 34250927314 scopus 로고
    • On methods in the analysis of profile data
    • Greenhouse SW, Geisser S. On methods in the analysis of profile data. Psychometrika 1959, 24: 95-112.
    • (1959) Psychometrika , vol.24 , pp. 95-112
    • Greenhouse, S.W.1    Geisser, S.2
  • 12
    • 84890913931 scopus 로고
    • Maximum likelihood approaches to variance component estimation and to related problems
    • Comments and responses 338-340
    • Harville DA. Maximum likelihood approaches to variance component estimation and to related problems. J Am Stat Assoc 1977, 72: 320-338 (Comments and responses 338-340).
    • (1977) J Am Stat Assoc , vol.72 , pp. 320-338
    • Harville, D.A.1
  • 13
    • 78651570697 scopus 로고
    • Definitions of linear model parameters and hypotheses as functions of E(Y)
    • Helms RW. Definitions of linear model parameters and hypotheses as functions of E(Y). Commun Stat A 1988a, 17: 2715-2723.
    • (1988) Commun Stat A , vol.17 , pp. 2715-2723
    • Helms, R.W.1
  • 14
    • 0041986428 scopus 로고
    • Comparisons of parameter and hypothesis definitions in a general linear model
    • Helms RW. Comparisons of parameter and hypothesis definitions in a general linear model. Commun Stat A 1988b, 17:2725-2753.
    • (1988) Commun Stat A , vol.17 , pp. 2725-2753
    • Helms, R.W.1
  • 15
    • 78651577059 scopus 로고
    • Manipulating statistical hypotheses and tests as Boolean functions
    • Helms RW. Manipulating statistical hypotheses and tests as Boolean functions. Am Statistician 1988c, 42: 253-256.
    • (1988) Am Statistician , vol.42 , pp. 253-256
    • Helms, R.W.1
  • 16
    • 0003539819 scopus 로고
    • Hoaglin DC, Mosteller F and Tukey JW, eds, York, Chichester: John Wiley & Sons
    • Hoaglin DC, Mosteller F and Tukey JW, eds. Fundamentals of Exploratory Analysis of Variance,New York, Chichester: John Wiley & Sons, 1991.
    • (1991) Fundamentals of Exploratory Analysis of Variance,New
  • 18
    • 0001816848 scopus 로고
    • Estimation of the Box correction for degrees of freedom from sample data in randomized block and split-plot designs
    • Huynh H, Feldt LS. Estimation of the Box correction for degrees of freedom from sample data in randomized block and split-plot designs. J Educ Stat 1976, 1: 69-82.
    • (1976) J Educ Stat , vol.1 , pp. 69-82
    • Huynh, H.1    Feldt, L.S.2
  • 19
    • 0022966316 scopus 로고
    • Unbalanced repeated-measures models with structured covariance matrices
    • Jennrich RI, Schluchter MD. Unbalanced repeated-measures models with structured covariance matrices. Biometrics 1985, 42: 805-820.
    • (1985) Biometrics , vol.42 , pp. 805-820
    • Jennrich, R.I.1    Schluchter, M.D.2
  • 20
    • 70350184453 scopus 로고
    • Approximations for standard errors of estimators of fixed and random effects in mixed linear models
    • Kackar RN, Harville DA. Approximations for standard errors of estimators of fixed and random effects in mixed linear models. J Am Stat Assoc 1984, 79: 853-862.
    • (1984) J Am Stat Assoc , vol.79 , pp. 853-862
    • Kackar, R.N.1    Harville, D.A.2
  • 21
    • 0030880605 scopus 로고    scopus 로고
    • Small sample inference for fixed effects from restricted maximum likelihood
    • Kenward MG, Roger JH. Small sample inference for fixed effects from restricted maximum likelihood. Biometrics 1997, 53: 983-997.
    • (1997) Biometrics , vol.53 , pp. 983-997
    • Kenward, M.G.1    Roger, J.H.2
  • 25
    • 0020333131 scopus 로고
    • Random-effects models for longitudinal data
    • Laird NM, Ware J. Random-effects models for longitudinal data. Biometrics 1982, 38: 963-974.
    • (1982) Biometrics , vol.38 , pp. 963-974
    • Laird, N.M.1    Ware, J.2
  • 28
    • 84950419603 scopus 로고    scopus 로고
    • Lindstrom MJ, Bates DF. Newton-Raphson and EM algorithms for linear mixed effects models for repeated measures data. J Am Stat Assoc 1988, 83: 1014-1022. (Corrigendum 1994, 89: 1572).
    • Lindstrom MJ, Bates DF. Newton-Raphson and EM algorithms for linear mixed effects models for repeated measures data. J Am Stat Assoc 1988, 83: 1014-1022. (Corrigendum 1994, 89: 1572).
  • 29
    • 1542338578 scopus 로고    scopus 로고
    • Analysis of unbalanced mixed models: A case study comparison of ANOVA vs REML/GLS
    • Littel R. Analysis of unbalanced mixed models: a case study comparison of ANOVA vs REML/GLS. J Agric Biol Environ Stat 2002, 7: 472-490.
    • (2002) J Agric Biol Environ Stat , vol.7 , pp. 472-490
    • Littel, R.1
  • 30
    • 84950455641 scopus 로고
    • Regression with missing X's: A review
    • Little RJA. Regression with missing X's: a review. J Am Stat Assoc 1992, 87: 1227-1237.
    • (1992) J Am Stat Assoc , vol.87 , pp. 1227-1237
    • Little, R.J.A.1
  • 37
    • 0035540087 scopus 로고    scopus 로고
    • Computing the confluent hypergeometric function, M(a,b,x)
    • Muller KE. Computing the confluent hypergeometric function, M(a,b,x). Num Math 2001, 90: 179-196.
    • (2001) Num Math , vol.90 , pp. 179-196
    • Muller, K.E.1
  • 38
    • 0021217080 scopus 로고
    • Recommendations for appropriate statistical practice in toxicologic experiments
    • Muller KE, Barton CN, Benignus VA. Recommendations for appropriate statistical practice in toxicologic experiments. Neurotoxicology 1984, 5: 113-126.
    • (1984) Neurotoxicology , vol.5 , pp. 113-126
    • Muller, K.E.1    Barton, C.N.2    Benignus, V.A.3
  • 39
    • 34547563932 scopus 로고    scopus 로고
    • Statistical tests with accurate size and power for balanced linear mixed models
    • Muller KE, Edwards LJ, Simpson SL, Taylor DJ. Statistical tests with accurate size and power for balanced linear mixed models. Stat Med 2007, 26: 3639-3660.
    • (2007) Stat Med , vol.26 , pp. 3639-3660
    • Muller, K.E.1    Edwards, L.J.2    Simpson, S.L.3    Taylor, D.J.4
  • 43
    • 78651586323 scopus 로고
    • The Future of Statistical Software
    • NSF Panel on Guidelines for Statistical Software (, National Academy Press Washington
    • NSF Panel on Guidelines for Statistical Software (1991). The Future of Statistical Software. Proceedings of a forum, National Academy Press (Washington).
    • (1991) Proceedings of a forum
  • 44
    • 0002960711 scopus 로고
    • A unified approach to statistical power for t-tests to multivariate models
    • Chapter 8, Edwards LK, ed, New York: Marcel Dekker;
    • O'Brien RG, Muller KE. A unified approach to statistical power for t-tests to multivariate models, Chapter 8. In: Edwards LK, ed. Applied Analysis of Variance in Behavioral Sciences. New York: Marcel Dekker; 1993, 297-344.
    • (1993) Applied Analysis of Variance in Behavioral Sciences , pp. 297-344
    • O'Brien, R.G.1    Muller, K.E.2
  • 45
    • 0001452577 scopus 로고
    • Practical considerations in choosing a MANOVA test statistic: Rejoinder to Stevens
    • Olson CL. Practical considerations in choosing a MANOVA test statistic: rejoinder to Stevens. Psychol Bull 1979, 86: 1350-1352.
    • (1979) Psychol Bull , vol.86 , pp. 1350-1352
    • Olson, C.L.1
  • 49
    • 0007177778 scopus 로고
    • A tale of two regressions
    • Sampson AR. A tale of two regressions. JAm Stat Assoc 1974, 69: 682-689.
    • (1974) JAm Stat Assoc , vol.69 , pp. 682-689
    • Sampson, A.R.1
  • 50
    • 2342641287 scopus 로고    scopus 로고
    • Adequacy of approximations to distributions of test statistics in complex mixed linear models
    • Schaalje GB, McBride JB, Fellingham GW. Adequacy of approximations to distributions of test statistics in complex mixed linear models. JAgric Biol Environ Stat 2003, 7: 512-524.
    • (2003) JAgric Biol Environ Stat , vol.7 , pp. 512-524
    • Schaalje, G.B.1    McBride, J.B.2    Fellingham, G.W.3
  • 51
    • 0004176755 scopus 로고
    • New York, Chichester: John Wiley & Sons;
    • Scheffe H. The Analysis of Variance. New York, Chichester: John Wiley & Sons; 1959, 1999.
    • (1959) The Analysis of Variance
    • Scheffe, H.1
  • 52
    • 0004242197 scopus 로고
    • New York: John Wiley & Sons;
    • Searle SR. Linear Models. New York: John Wiley & Sons; 1971.
    • (1971) Linear Models
    • Searle, S.R.1
  • 53
    • 84919058615 scopus 로고
    • Annotated computer output for analysis of variance of unequal-subclass-numbers data
    • Searle SR. Annotated computer output for analysis of variance of unequal-subclass-numbers data. Am Stat 1979, 33: 148-153.
    • (1979) Am Stat , vol.33 , pp. 148-153
    • Searle, S.R.1
  • 55
    • 0041153408 scopus 로고
    • Gauss and the invention of least squares
    • Stigler SM. Gauss and the invention of least squares. Ann Stat 1981, 9: 465-474.
    • (1981) Ann Stat , vol.9 , pp. 465-474
    • Stigler, S.M.1
  • 58
    • 22544477585 scopus 로고    scopus 로고
    • Stigler SM. Fisher in 1921. Stat Sci 2005, 20: 32-49.
    • Stigler SM. Fisher in 1921. Stat Sci 2005, 20: 32-49.
  • 60
    • 0001923866 scopus 로고
    • The Design and analysis of block experiments
    • Yates, Discussion by F
    • Tocher KD. The Design and analysis of block experiments. J Roy Stat Soc Series B 1952,14:45-100 (Discussion by F. Yates).
    • (1952) J Roy Stat Soc Series B , vol.14 , pp. 45-100
    • Tocher, K.D.1
  • 61
    • 84950423736 scopus 로고
    • Nominal, ordinal, interval, and ratio typologies are misleading
    • Velleman PF, Wilkinson L. Nominal, ordinal, interval, and ratio typologies are misleading. Am Stat 1993, 47: 65-72.
    • (1993) Am Stat , vol.47 , pp. 65-72
    • Velleman, P.F.1    Wilkinson, L.2
  • 63
    • 78651581998 scopus 로고    scopus 로고
    • Vonesh EF, Chinchilli VM. Linear and Nonlinear Models for the Analysis of Repeated Measurements.New York: Marcel Dekker; 1997.
    • Vonesh EF, Chinchilli VM. Linear and Nonlinear Models for the Analysis of Repeated Measurements.New York: Marcel Dekker; 1997.
  • 64
    • 0001194565 scopus 로고
    • Computing Gaussian likelihoods and their derivatives for general linear mixed models
    • Wolfinger R, Tobias R, Sall J. Computing Gaussian likelihoods and their derivatives for general linear mixed models. SIAM J Sci Stat Comput 1994, 15: 1294-1310.
    • (1994) SIAM J Sci Stat Comput , vol.15 , pp. 1294-1310
    • Wolfinger, R.1    Tobias, R.2    Sall, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.