GENERALIZED NONLINEAR CANONICAL CORRELATION ANALYSIS WITH ORDERED CATEGORICAL AND DICHOTOMOUS DATA

Authors

  • Thanoon Y. Thanoon Foundation of Technical Education,Technical College of Management, Mosul, Iraq
  • Robiah Adnan Department of Mathematical Science, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • Seyed Ehsan Safari Education Development Centre, Sabzevar University of Medical Sciences, 9613873136-319, Sabzevar, Iran

DOI:

https://doi.org/10.11113/jt.v75.3602

Keywords:

Nonlinear canonical correlation analysis, generalized canonical correlation analysis, categorical data, dichotomous data

Abstract

In this paper, ordered categorical and dichotomous data are used in generalized nonlinear canonical correlation analysis to study the relationship between two or more sets of variables. Statistical analyses involving generalized nonlinear canonical correlation analysis, component loadings, and object scores are discussed in this paper. The proposed procedure is illustrated using a real data set (patients with high blood pressure). Analyses are done using SPSS program. The component loadings graph of the three sets shows the relationship between the three sets and their impact on the data set of patients with high blood pressure. The centroid graph of the categories also shows the relationship between them. 

References

Fan, Xitao and Timothy R Konold. 2010. The Reviewer’s Guide to Quantitative Methods in the Social Sciences. 29-40.

Albert. Gifi. 1990. Nonlinear Multivariate Analysis. Wiley Chichester.

Hardoon, D. R., Szedmak, S. and Shawe-Taylor, J. 2004. Neural Computation. 16(12): 2639-2664.

Hsieh, W. W. 2000. Neural Networks. 13(10): 1095-1105.

Hsieh, William W. 2001. Journal of Climate. 14(1): 2528-2539.

Kiers, Henk, A. L., Robert Cleroux and Jos MF Ten Berge. 1994. Computational Statistics & Data Analysis. 18(3) 331-340.

Lai, P. L. and Fyfe, C. 2000. International Journal of Neural Systems. 10(05): 365-377.

Jacqueline, J. Meulman and Willem J. Heiser. 2009. Pasw® Categories 18. Chicago: SPSS Inc.

Takane, Yoshio and Yuriko Oshima-Takane. 2002. Measurement and Multivariate Analysis. 183-190.

Bruce. Thompson. 2005. Encyclopedia of Statistics in Behavioral Science.

Thorndike, R. M. 2000. Applied Multivariate Statistics And Mathematical Modeling. 237-263.

Neil H. Timm. 2002. Applied Multivariate Analysis. Springer.

Van de Velden, Michel and Yoshio Takane. 2011. Computational Statistics. 27(3): 551-571.

Van der Burg, Eeke, Jan de Leeuw and Garmt Dijksterhuis. 1994. Computational Statistics & Data Analysis. 18(1): 141-163.

Van der Lans, Ivo A. 1989. Psychometrika. 42: 207-219.

Jan L. A. van Rijckevorsek and Jan de Leeus. 1988. Component and Correspondence Analysis: Dimension Reduction by Functional Approximation. John Wiley & Sons, Inc.

Vía, Javier, Ignacio Santamaría and Jesús Pérez. 2007. Neural Networks. 20(1): 139-152.

Weenink, David. 2003. In Proceedings of the Institute of Phonetic Sciences of the University of Amsterdam. 25: 81-99.

Yanai, Haruo and Yoshio Takane. 1992. Linear Algebra and Its Applications. 176: 75-89.

Yazici, A, E Ögüs, Handan Ankarali and Fikret Gürbüz. 2010. Turkish Journal Medical Science. 40(1): 1-8.

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Published

2015-06-24

Issue

Section

Science and Engineering

How to Cite

GENERALIZED NONLINEAR CANONICAL CORRELATION ANALYSIS WITH ORDERED CATEGORICAL AND DICHOTOMOUS DATA. (2015). Jurnal Teknologi (Sciences & Engineering), 75(1). https://doi.org/10.11113/jt.v75.3602