Hierarchical Cluster Analysis for Multi-Sample Comparisons Based on the Power-Normal Distribution

Toshio Shimokawa1, Masashi Goto2
1Graduate School of Medicine and Engineering, University of Yamanashi, 4-3-11 Takeda, Kofu City, 400-8511, Japan
2Biostatistical Research Association, NPO

Tóm tắt

Từ khóa


Tài liệu tham khảo

Brown, B.W. & Hollander, M. (1977). A Biomedical Introduction. John Wiley & Sons.

Bozdogan, H. (1986). Multi-samples cluster analysis as an alternative to multiple comparison procedure. Bulletin of Informatics and Cybernetics, 22, 95–130.

Box, G.E.P. & Cox, D.R. (1964). An analysis of transformations (with discussions). J. Roy. Statist. Soc., B26, 211–252.

Calinski, T., & Corsten, L.C.A. (1985). Clustering means in ANOVA by simulaneous testing. Biometics, 41, 39–48.

Cox, D.R., & Spjøtvoll, E. (1982). On partitioning means into group. Scand. J. Statist, 9, 147–152.

Duncan, D.B. (1955). Multiple ranges and multiple F-test. Biometrics, 78, 1–42.

Goto, M., Uesaka, H., & Inoue, T. (1979). Some linear models for power transformed data. Invited paperat the 10th International Biometric Conference, August, 6–10 (Res. Rep. No.93, Res. Instit. Fund. Infor. Sc, Kyushu University).

Goto, M., Matsubara, Y., & Tsuchiya, Y. (1983). Power-normal distribution and its applications. Rep. Stat. Appl. Res., JUSE., 30, 8–28.

Jolliffe, I.T. (1975). Cluster analysis as a multiple comparison method, in: Gupta (Ed.), Applied Statistics (North-Holland, Amsterdam, 1975), 159–168.

Scott, A.J., & Knott, M. (1974). A cluster analysis method for grouping means in the analysis of variance. Biometrics, 30, 507–512.

Shimokawa, T. & Goto, M. (2001). Development of data-adaptive probability plotting and its applications. Contributed paper of the 53rd of The International Statistical Institute, 3, 127–128.

Tasaki, T., Yoden, A., & Goto, M. (1987). Graphical data analysis in comparative experimental studies. Computational Statistics & Data Analysis, 5, 113–125.

Worsley, K.J. (1977). A non-parametric extension of a cluster analysis method by Scott and Knott, Biometrics, 33, 532–535.