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引用文献
- Anderson, T. W. (1984).
- An introduction to multivariate statistical
analysis. 2nd Edition, New York: Wiley.
- Bartlett, M., S. (1937).
- Properties of sufficiency and statistical tests.
Proceedings of the Royal Society, A901 , 160, 268-282.
- Bartlett, M., S. (1939).
- A note on tests of significance in multivariate
analysis. Proceedings of the Cambridge Philosophical Society ,
35, 180-185.
- Bird, K. D., & Hadzi-Pavlovic, D. (1983).
- Simultaneous test procedures
and the choice of a test statistic in MANOVA. Psychological Bulletin,
93, 167-178.
- Boik, R. J. (1981).
- A priori tests in repeated measures designs: Effects
of nonsphericity. Psychometrika, 46, 241-256.
- Boik, R. J. (1988).
- The mixed model for multivariate repeated measures:
Validity conditions and an approximate test. Psychometrika, 53,
469-486.
- Box, G. E. P. (1953).
- Nonnormality and tests on variances. Biometrika,
40, 318-335.
- Box, G. E. P. (1949).
- A general distribution theory for a class of
likelihood criteria. Biometrika, 36, 317-346.
- Box, G. E. P. (1954a).
- Some theorems on quadratic forms applied in the
study of analysis of variance problems - I. Effect of inequality of
variance in the one-way classification. The Annals of Mathematical
Statistics, 25, 290-302.
- Box, G. E. P. (1954b).
- 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.
The Annals of Mathematical Statistics, 25, 484-498.
- Brown, M. B., & Forsythe, A. B. (1974).
- The ANOVA and multiple comparisons
for data with heterogeneous variances. Biometrics, 30,
719-724.
- 千野 直仁 (1993).
- 反復測度デザイン概説ーその１ 愛知学院大学文学部紀要 23,
223-235.
- 千野 直仁 (1994).
- 反復測度デザイン概説ーその２ 愛知学院大学文学部紀要 24,
103-119.
- 千野 直仁 (1995a).
- SAS の利用方法 日本青年心理学会
第３回大会講習会資料 1-59.
- 千野 直仁 (1995b).
- 教育や心理の分野における ANOVA, MANOVA,
GMANOVA 適用上の問題点 愛知学院大学文学部紀要 25,
71-96.
- Cochran, W. G. (1947).
- Some consequences when the assumptions for the
analysis of variance are not satisfied. Biometrics, 3,
22-38.
- Cochran, W. G. (1941).
- The distribution of the largest of a set of estimated
variances as a fraction of their total. annals of Eugenics,
11, 47-52.
- Collier, R. O., Baker, F. B., Mandeville, G. K., & Hayes, T. F. (1967).
- Estimates of test size for several test procedures based on conventional
variance ratios in the repeated measures design. Psychometrika,
32, 339-353.
- Crowder , and Hand, (1990).
- Analysis of Repeated Measures.
London: Chapman and Hall.
- Draper, N., & Smith, H. (1981).
- Applied Regression Analysis, 2nd
Edition, New York: John Wiley & Sons, Inc.
- Duncan, D. B. (1955).
- Multiple range and multiple F tests.
Biometrics, 11, 1-42.
- Dunn, O. J. (1961).
- Multiple comparisons among measn. Journal of
the American Statistical Association, 56, 52-64.
- Dunnett, C. W. (1955).
- A multiple comparisons procedure for comparing
several treatments with a control. Journal of the American Statistical
Association, 50, 1096-1121.
- Einot, I. & Gabriel, K. R. (1975).
- A study o fthe powers of several
methods of multiple comparisons. Journal of the American Statistical
Association, 70, 351.
- Foster, F. G. (1957a).
- Upper percentage points of the generalized beta
distribution. II. Biometrika, 44,441-453.
- Foster, F. G. (1957b).
- Upper percentage points of the generalized beta
distribution. III. Biometrika, 45,492-503.
- Foster, F. G., & Rees, D. H. (1957).
- Upper percentage points of the
generalized beta distribution. I. Biometrika, 44,237-247.
- 藤井宇都美 (1983).
- 筆跡とパーソナリティとの関係について
愛知学院大学文学部心理学科提出卒業論文
- Gabriel, K. R. (1968).
- Simultaneous test procedures in multivariate
analysis of variance. Biometrika, 55, 489-504.
- Gabriel, K. R. (1978).
- A simple method of multiple comparisons of means.
Journal of the American Statistical Association, 73, 364.
- Games, P. A., & Howell, J. F. (1976).
- Pairwise multiple comparison
procedures with unequal n's and/or variances: A Monte Carlo study.
Journal of Educational Statistics, 1, 113-125.
- Greenhouse, S. W., & Geisser, S. (1958).
- An extension of Box's results on
the use of the F distribution in multivariate analysis. The Annals of
Mathematical Statistics, 29, 885-891.
- Greenhouse, S. W., and Geisser, S. (1959).
- On methods in the analysis
of profile data. Psychometrika, 24, 95-112.
- Grieve, A. P. (1984).
- Tests of sphericity of normal distributions and the
analysis of repeated measures designs. Psychometrika, 49,
257-267.
- Harris, P. (1984).
- An alternative test for multisample sphericity.
Psychometrika, 49, 273-275.
- Hartley, H. O. (1940).
- Testing the homogeneity of a set of variances.
Biometrika, 31, 249-255.
- Hartley, H. O. (1950).
- The maximum F-ratio as a short-cut test for
heterogeneity of variance. Biometrika, 37, 308-312.
- Heck, D. L. (1960).
- Charts of some upper percentage points of the
distribution of the largest root. The Annals of Mathematical
Statistics, 31, 625-642.
- Hertzog, C., & Rovine, M. (1985).
- Repeated-measures analysis of variance
in developmental research: Selected issues. Child Development,
56, 787-809.
- 廣津千尋 (1981).
- 分散分析 教育出版
- Hochberg, Y., and Tamhane, A. C. (1987).
- Multiple comparison
procedures. New York: Wiley.
- Hooper, P. M. (1983).
- Simultaneous interval estimation in the general
multivariate analysis of variance model. The Annals of Statistics,
11, 666-673.
- Hotelling, H. (1947).
- Multivariate quality control, illustrated by the air
testing of sample bombsights. In C. Eisenhart et al. (Eds.)
Selected Techniques of Statistical Analysis, pp.111-184. New
York: McGraw-Hill Book Company.
- Hotelling, H. (1951).
- A generalized T test and measure of multivariate
dispersion. Proceedings of the Second Berkeley Symposium on
Mathematical Statistics and Probability, pp.23-41. Berkeley: University
of California Press.
- Huynh, H., and Feldt, L. S. (1970).
- Conditions under which mean square
ratios in repeated measurements designs have exact F-distributions.
Journal of the American Statistical Association, 65,
1582-1589.
- Huynh, H., & Mandeville, G. K. (1979).
- Validity conditions in repeated
measures design. Psychological Bulletin, 86, 964-973.
- 伊藤孝一 (1968).
- 多変量解析の理論培風館
- 石村貞夫 (1997).
- SPSS による分散分析と多重比較の手順東京図書
- Jaccard, J., & Ackerman, L. (1985).
- Repeated measures analysis of means
in clinical research. Journal of Consulting and Clinical Psychology,
53, 426-428.
- Jennings, J. R., & Wood, C. C. (1976).
- The ε-adjustment procedure
for repeated-measures analyses of variance. Psychophysiology,
13, 277-278.
- Ito, K. (1969).
- On the effect of heteroscedasticity and nonnormality
upon some multivariate test procedures. In P. R. Krishnaiah (Ed.)
Multivariate Analysis II, New York: Academic Press.
- Ito, K., & Schull, W. J. (1964).
- On the robustness of the T02 test
in multivariate analysis of variance when variance-covariance matrices
are not equal. Biometrika, 51, 71-82.
- John, S. (1971).
- Some optimal multivariate tests. Biometrika, 58,
123-127.
- John, S. (1972).
- The distribution of a statistic used for testing sphericity
of normal distributions. Biometrika, 59, 169-173.
- John, S. (1976).
- Fitting sampling distribution agreeing in support and
moments and tables of critical values of sphericity criterion. Journal
of Multivariate Analysis, 6, 601-607.
- Jones, R. H. (1993).
- Longitudinal Data Analysis with Serial Correlation: A State-space
Approach. London:Chapman and Hall.
- Kariya, T. (1985).
- Testing in the Multivariate General Linear
Model. New York: Kinokuniya.
- Kariya, T., & Sinha, B. K. (1989).
- Robustness of Statistical Tests.
New York: Academic Press.
- Keppel, G. (1973).
- Design and analysis: Researcher's handbook.
Englewood Cliffs: Prentice-Hall.
- Keselman, H. J., & Rogan, J. C. (1980).
- Repeated measures F tests and
psychophysiological research: Controlling the number of false positives.
Psychophysiology, 17, 499-503.
- Keselman, H. J., Rogan, J. C., Mendoza, J. L., & Breen, L. J. (1980).
- Testing the validity conditions of repeated measures F tests.
Psychological Bulletin, 87, 479-481.
- Keuls, M. (1952).
- The use of studentized range in connection with an
analysis of variance. Euphytica, 1, 112-122.
- Kirk, R. E. (1982).
- Experimental design: Procedures for the
behavioral sciences. Monterey: Brooks/Cole.
- Kirk, R. E. (1995).
- Experimental design: Procedures for the
behavioral sciences. Third Edition. Monterey: Brooks/Cole.
- Kramer, C. Y. (1956).
- Extension of multiple range test to group means
with unequal numbers of replications. Biometrics, 12,
307-310.
- Korin, B. P. (1972).
- some comments on the homoscedasticity criterion
M and the multivariate analysis of variance tests T2, W and R.
Biometrika, 59, 215-216.
- Lana, R. E., & Lubin, A. (1963).
- The effect of correlation on the
repeated measures design. Journal of Educational and Psychological
Measurement, 23, 729-739.
- Latour, S. A., and Miniard, P. W. (1983).
- The misuse of repeated measures
analysis in marketing research. Journal of Marketing Research,
20, 45-57.
- Lawley, D. N. (1938).
- A generalization of Fisher's z test. Biometrika,
30, 180-187.
- Lunney, G. H. (1970).
- Using analysis of variance with a dichotomous
dependent variable: An emoirical study. Journal of Educational
measurement, 7, 263-269.
- Mardia, K. V. (1971).
- The effect of nonnormality on some multivariate
tests and robustness to nonnormality in the linear model. Biometrika,
61, 381-383.
- Mauchly, J. W. (1940).
- Significance test for sphericity of a normal
n -variate distribution. The Annals of Mathematical Statistics,
11, 204-209.
- McCall, R. B., & Appelbaum, M. I. (1973).
- Bias in the analysis of
repeated-measures designs: Some alternative approaches. Child
Development, 44, 401-415.
- Mendoza, J. L. (1980).
- A significance test for multisample sphericity.
Psychometrika, 45, 495-498.
- Mitzel, H. C., & Games, P. A. (1981).
- Circularity and multiple comparisons
in repeated measure designs. British Journal of Mathematical and
Statistical Psychology, 34, 253-259.
- Morrison, D. F. (1967).
- Multivariate statistical methods.
New York: McGraw-Hill.
- Mudholkar, G. S. (1966).
- On confidence bounds associated with multivariate
analysis of variance and non-independence between two sets of variates.
The Annals of Mathematical Statistics, 37, 1736-1746.
- Muirhead, R. J. (1982).
- Aspects of Multivariate Statistical Theory,
New York: Wiley-Interscience.
- Muirhead, R. J., & Waternaux, C. M. (1980).
- Asymptotic distributions in
canonical correlation analysis and other multivariate procedures for
nonnormal populations. Biometrika, 67, 31-43.
- Nanda, D. N. (1950).
- Distribution of the sum of roots of a determinantal
equation under a certain condition. The Annals of Mathematical
Statistics, 21, 432-439.
- Nagao, H. (1973).
- On some test criteria for covariance matrix. The
Annals of Statistics, 1, 700-709.
- Newman, D. (1939).
- The distribution of the range in samples from a normal
population, expressed in terms of an independent estimate of standard
deviation. Biometrika, 31, 20-30.
- O'Brien, R. G., & Kaiser, M. K. (1985).
- MANOVA method for analyzing
repeated measures designs: An extensive primer. Psychological
Bulletin, 97, 316-333.
- 奥野忠一・芳賀敏郎著 (1975).
- 実験計画法
培風館
- Olson, C. L. (1974).
- Comparative robustness of six tests in multivariate
analysis of variance. Journal of the American Statistical
Association, 69, 894-908.
- Olson, C. L. (1976).
- On choosing a test statistic in multivariate analysis
of variance. Psychological Bulletin, 83, 579-586.
- Olson, C. L. (1979).
- Practical considerations in choosing a MANOVA test
statistic: A rejoinder to Stevens. Psychological Bulletin, 86,
1350-1352.
- Pearson, E. S. (1931).
- The analysis of variance in cases of non-normal
variation. Biometrika, 23, 114-133.
- Pillai, K. C. S. (1955).
- Some new test criterion in multivariate analysis.
The Annals of Mathematical Statistics, 26, 117-121.
- Pillai, K. C. S. (1960).
- Statistical tables for tests of multivariate
hypotheses. The Statistical Center, University of the Philipines, Manila.
- Pillai, K. C. S. (1964).
- On the distribution of the largest of seven
characteristic roots of a matrix in multivariate analysis. Biometrika,
51, 270-275.
- Pillai, K. C. S. (1965).
- On the distribution of the largest characteristic
roots of a matrix in multivariate analysis. Biometrika,
52, 405-411.
- Potthoff, R. F., & Roy, S. N. (1964).
- A generalized multivariate
analysis of variance model useful especially for growth curve models.
Biometrika, 51, 313-326.
- Rasmussen, J. L. (1989).
- Parametric and non-parametric analysis of groups by
trials design under variance-covariance inhomogeneity. British
Journal of Mathematical and Statistical Psychology, 42, 91-102.
- Rogan, J. C., Keselman, H. J., & Mendoza, J. L. (1979).
- Analysis of
repeated measurements. British Journal of Mathematical and Statistical
Psychology, 32, 269-286.
- Rouanet, H., and L\'epine, D. (1970).
- Comparison between treatments in
a repeated-measurement design: ANOVA and Multivariate methods.
The British Journal of Mathematical and Statistical Psychology,
23, 147-163.
- Roy, S. N. (1945).
- The individual sampling distributions of the
maximum, the minimum and any intermediate of the p-statistics
on the null hypothesis. Sankhy\= a, 7, 133-158.
- Roy, S. N. (1957).
- Some Aspects of Multivariate Analysis. New
York: John Wiley & Sons, Inc.
- Roy, S. N., & Bose, R. C. (1953).
- Simultaneous confidence interval
estimation. The Annals of Mathematical Statistics, 24,
513-536.
- Ryan, T. A. (1959).
- Multiple comparisons in psychological research.
Psychological Bulletin, 56, 26-47.
- Ryan, T. A. (1960).
- Significance tests for multiple comparisons of
proportions, variances, and other statistics. Psychological Bulletin,
57, 318-328.
- SAS Institute Inc. (1990).
- SAS/STAT User's Guide, Vol.1, ANOVA-FREQ,
Version 6, Fourth Edition. Cary: SAS Institute Inc.
- Schatzoff, M. (1966).
- Sensitivity comparisons among tests of the general
linear hypothesis. Journal of the American Statistical Association,
61, 415-435.
- Scheffé, H. (1953).
- A method for judging all contrasts in the analysis
of variance. Biometrika, 40, 87-104.
- Scheffé, H. (1959).
- The Analysis of Variance. New York: John Wiley
& Sons, Inc.
- Scheirs, J. G. M. (1992).
- A priori and a posteriori tests on repeated
measurements. Educational Psychology, 12, 63-72.
- Schwartz, R. E. (1967).
- Local minimax tests. The Annals of
Mathematical Statistics, 38, 340-359.
- Searle, S. R. (1987).
- Linear Models for Unbalanced Data, New York*
John Wiley & Sons, Inc.
- 塩谷實 (1990).
- 多変量解析概論 朝倉書店
- Spjötvoll, E., & Stoline, M. R. (1973).
- An extensions of the T-method
of multiple comparisons to include the cases with unequal sample sizes.
Journal of the American Statistical Association, 68,
975-978.
- IBM Corporation (1987).
- SPSS Advanced Statistics
http://www-03.ibm.com/software/products/us/en/spss-advanced-stats/
- Stevens, J. (1979).
- Comment on Olson: Choosing a test statistic in
multivariate analysis of variance. Psychological Bulletin, 86,
355-360.
- Student. (1927).
- Errors of routine analysis. Biometrika, 19,
151-164.
- Sugiura, N. (1972).
- Locally best invariant test for sphericity and the
limiting distributions. The Annals of Mathematical Statistics,
43, 1312-1316.
- Sugiura, N., & Nagao, H. (1968).
- Unbiasedness of some test criteria for
the equality of one or two covariance matrices. The Annals of
Mathematical Statistics, 39, 1686-1692.
- 橘敏明 (1986).
- 医学・教育学・心理学にみられる統計的検定の誤用と弊害 医療
図書出版
- 竹内啓監修・高橋行雄・大橋靖雄・芳賀敏郎 (1990).
- SAS による
実験データの解析 東京大学出版会
- Tamhane, A.C. (1977).
- Multiple comparisons in model I one-way ANOVA with
unequal variances. Communications in Statistics, A6(1),
15-32.
- Tamhane, A.C. (1979).
- A comparison of procedures for multiple comparisons
of means with unequal variances. Journal of the American Statistical
Association, 74, 471-480.
- Timm, N. H. (1980).
- Multivariate analysis of variance of repeated measures.
In P. R. Krishnaiah (Ed.), Handbook of statistics, Vol.1 (pp.41-87).
New York: North Holland.
- Thomas, D. R. (1983).
- Univariate repeated measures techniques applied to
multivariate data. Psychometrika, 48, 451-464.
- Tukey, J. W. (1953).
- The problem of multiple comparisons. Ditto, princeton
university, 396.
- Vasey, M. W., & Thayer, J. F. (1987).
- The continuing problem of false
positives in repeated measures ANOVA in Psychophysiology: A multivariate
solution. Psychophysiology, 24, 497-486.
- Welsch, R. E. (1977).
- Stepwise multiple comparison procedures. Journal
of the American Statistical Association, 72, 359.
- Wijsman, R. A. (1979).
- Constructing all smallest simultaneous confidence
sets in a given class, with applications to MANOVA. The Annals of
Statistics, 7, 1003-1018.
- Wilks, S. S. (1932).
- Certain generalizations in the analysis of variance.
Biometrika, 24, 471-494.
- Wilks, S. S. (1935).
- On the independence of k sets of normally distributed statistical
variables. Econometrika, 3, 309-326
- Wilson, R. S. (1967).
- Analysis of automatic reaction pattern.
Psychophysiology, 4, 125-142.
