메뉴 건너뛰기




Volumn 22, Issue 2, 1997, Pages 155-192

Analysis of Repeated Measures under Second-Stage Sphericity: An Empirical Bayes Approach

Author keywords

Empirical bayes; MANOVA; Repeated measures; Sphericity

Indexed keywords


EID: 0031483847     PISSN: 10769986     EISSN: None     Source Type: Journal    
DOI: 10.3102/10769986022002155     Document Type: Article
Times cited : (9)

References (41)
  • 3
    • 0000235654 scopus 로고
    • Some theorems on quadratic forms applied in the study of analysis of variance problems: II. Effects of inequality of variance and correlation between errors in the two-way classification
    • Box, G. E. P. (1954). Some theorems on quadratic forms applied in the study of analysis of variance problems: II. Effects of inequality of variance and correlation between errors in the two-way classification. Annals of Mathematical Statistics, 25, 484-498.
    • (1954) Annals of Mathematical Statistics , vol.25 , pp. 484-498
    • Box, G.E.P.1
  • 5
    • 12044257390 scopus 로고
    • How the power of MANOVA can both increase and decrease as a function of the intercorrelations among the dependent variables
    • Cole, D. A., Maxwell, S. E., Arvey, R., & Salas, E. (1994). How the power of MANOVA can both increase and decrease as a function of the intercorrelations among the dependent variables. Psychological Bulletin, 115, 465-474.
    • (1994) Psychological Bulletin , vol.115 , pp. 465-474
    • Cole, D.A.1    Maxwell, S.E.2    Arvey, R.3    Salas, E.4
  • 6
    • 0001646352 scopus 로고
    • Applications of multivariate analysis of variance to repeated measurements experiments
    • Cole, J. W. L., & Grizzle, J. E. (1966). Applications of multivariate analysis of variance to repeated measurements experiments. Biometrics, 22, 810-828.
    • (1966) Biometrics , vol.22 , pp. 810-828
    • Cole, J.W.L.1    Grizzle, J.E.2
  • 7
    • 0642315523 scopus 로고
    • Characteristic polynomials by diagonal expansion
    • Collings, B. J. (1983). Characteristic polynomials by diagonal expansion. American Statistician, 37, 233-235.
    • (1983) American Statistician , vol.37 , pp. 233-235
    • Collings, B.J.1
  • 9
    • 0000954034 scopus 로고
    • Univariate versus multivariate tests in repeated-measures experiments
    • Davidson, M. L. (1972). Univariate versus multivariate tests in repeated-measures experiments. Psychological Bulletin, 77, 446-452.
    • (1972) Psychological Bulletin , vol.77 , pp. 446-452
    • Davidson, M.L.1
  • 10
    • 0000257455 scopus 로고
    • Matricvariate generalizations of the multivariate t distribution and the inverted multivariate t distribution
    • Dickey, J. M. (1967). Matricvariate generalizations of the multivariate t distribution and the inverted multivariate t distribution. Annals of Mathematical Statistics, 38, 511-518.
    • (1967) Annals of Mathematical Statistics , vol.38 , pp. 511-518
    • Dickey, J.M.1
  • 13
    • 51249189118 scopus 로고
    • Asymptotic formulas for the distribution of three statistics for multivariate linear hypothesis
    • Fujikoshi, Y. (1973). Asymptotic formulas for the distribution of three statistics for multivariate linear hypothesis. Annals of the Institute of Statistical Mathematics, 25, 423-437.
    • (1973) Annals of the Institute of Statistical Mathematics , vol.25 , pp. 423-437
    • Fujikoshi, Y.1
  • 14
    • 34250927314 scopus 로고
    • On methods in the analysis of profile data
    • Greenhouse, S. W., & Geisser, S. (1959). On methods in the analysis of profile data. Psychometrika, 24, 95-112.
    • (1959) Psychometrika , vol.24 , pp. 95-112
    • Greenhouse, S.W.1    Geisser, S.2
  • 15
    • 0000406169 scopus 로고
    • Empirical Bayes estimation of the multivariate normal covariance matrix
    • Haff, L. R. (1980). Empirical Bayes estimation of the multivariate normal covariance matrix. The Annals of Statistics, 8, 586-597.
    • (1980) The Annals of Statistics , vol.8 , pp. 586-597
    • Haff, L.R.1
  • 16
    • 84950658629 scopus 로고
    • Conditions under which mean square ratios in repeated measures designs have exact F-distributions
    • Huynh, H., & Feldt, L. S. (1970). Conditions under which mean square ratios in repeated measures designs have exact F-distributions. Journal of the American Statistical Association, 65, 1582-1589.
    • (1970) Journal of the American Statistical Association , vol.65 , pp. 1582-1589
    • Huynh, H.1    Feldt, L.S.2
  • 17
    • 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, L. S. (1976). Estimation of the Box correction for degrees of freedom from sample data in randomized block and split-plot designs. Journal of Educational Statistics, 1, 69-82.
    • (1976) Journal of Educational Statistics , vol.1 , pp. 69-82
    • Huynh, H.1    Feldt, L.S.2
  • 19
    • 0000593245 scopus 로고
    • A correction for the ε̌ approximate test in repeated measures designs with two or more independent groups
    • Lecoutre, B. (1991). A correction for the ε̌ approximate test in repeated measures designs with two or more independent groups. Journal of Educational Statistics, 16, 371-372.
    • (1991) Journal of Educational Statistics , vol.16 , pp. 371-372
    • Lecoutre, B.1
  • 23
    • 0642285034 scopus 로고
    • Histamine-induced hypotension due to morphine and arfonad in the dog
    • Morris, K. J., & Zeppa, R. (1963). Histamine-induced hypotension due to morphine and arfonad in the dog. Journal of Surgical Research, 3, 313-317.
    • (1963) Journal of Surgical Research , vol.3 , pp. 313-317
    • Morris, K.J.1    Zeppa, R.2
  • 25
    • 0041986427 scopus 로고
    • Approximate power for repeated measures ANOVA lacking sphericity
    • Corrigendum, Journal of the American Statistical Association, 86, 255-256
    • Muller, K. E., & Barton, C. N. (1989). Approximate power for repeated measures ANOVA lacking sphericity. Journal of the American Statistical Association, 84, 549-555. (Corrigendum, Journal of the American Statistical Association, 86, 255-256)
    • (1989) Journal of the American Statistical Association , vol.84 , pp. 549-555
    • Muller, K.E.1    Barton, C.N.2
  • 26
    • 0040994736 scopus 로고
    • Practical methods for computing power in testing the multivariate general linear hypothesis
    • Muller, K. E., & Peterson, B. L. (1984). Practical methods for computing power in testing the multivariate general linear hypothesis. Computational Statistics & Data Analysis, 2, 143-158.
    • (1984) Computational Statistics & Data Analysis , vol.2 , pp. 143-158
    • Muller, K.E.1    Peterson, B.L.2
  • 28
    • 0642285031 scopus 로고
    • Some results useful in multivariate analysis
    • Pillai, K. C. S. (1956). Some results useful in multivariate analysis. Annals of Mathematical Statistics, 27, 1106-1114.
    • (1956) Annals of Mathematical Statistics , vol.27 , pp. 1106-1114
    • Pillai, K.C.S.1
  • 29
    • 0642346363 scopus 로고
    • On the moments of the trace of a matrix and approximations to its distribution
    • Pillai, K. C. S., & Mijares, T. A. (1959). On the moments of the trace of a matrix and approximations to its distribution. Annals of Mathematical Statistics, 30, 1135-1140.
    • (1959) Annals of Mathematical Statistics , vol.30 , pp. 1135-1140
    • Pillai, K.C.S.1    Mijares, T.A.2
  • 34
    • 0000700219 scopus 로고
    • A Monte Carlo comparison of seven ε̌-adjustment procedures in repeated measures designs with small sample sizes
    • Quintana, S. M., & Maxwell, S. E. (1994). A Monte Carlo comparison of seven ε̌-adjustment procedures in repeated measures designs with small sample sizes. Journal of Educational Statistics, 19, 57-71.
    • (1994) Journal of Educational Statistics , vol.19 , pp. 57-71
    • Quintana, S.M.1    Maxwell, S.E.2
  • 35
    • 85004857164 scopus 로고
    • Comparison between treatments in a repeated- Measurement design: ANOVA and multivariate methods
    • Rouanet, H., & Lépine, D. (1970). Comparison between treatments in a repeated- measurement design: ANOVA and multivariate methods. British Journal of Mathematical & Statistical Psychology, 23, 147-163.
    • (1970) British Journal of Mathematical & Statistical Psychology , vol.23 , pp. 147-163
    • Rouanet, H.1    Lépine, D.2
  • 36
    • 0040427478 scopus 로고
    • A "mixed model" for the analysis of variance
    • Scheffé, H. (1956). A "mixed model" for the analysis of variance. Annals of Mathematical Statistics, 27, 23-36.
    • (1956) Annals of Mathematical Statistics , vol.27 , pp. 23-36
    • Scheffé, H.1
  • 39
    • 0642285030 scopus 로고
    • Empirical Bayes estimators of normal covariance matrix
    • Sharma, D., & Krishnamoorthy, K. (1985). Empirical Bayes estimators of normal covariance matrix. Sankhya, 47A, 247-254.
    • (1985) Sankhya , vol.47 A , pp. 247-254
    • Sharma, D.1    Krishnamoorthy, K.2
  • 40
    • 51249187392 scopus 로고
    • Further asymptotic formulas for the non-null distributions of three statistics for multivariate linear hypothesis
    • Sugiura, N. (1973). Further asymptotic formulas for the non-null distributions of three statistics for multivariate linear hypothesis. Annals of the Institute of Statistical Mathematics, 25, 153-163.
    • (1973) Annals of the Institute of Statistical Mathematics , vol.25 , pp. 153-163
    • Sugiura, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.