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Dimensionality reduction in data from LASER applications | ||
| Journal of University of Anbar for Pure Science | ||
| Article 22, Volume 3, Issue 1, 2009, Pages 71-74 PDF (350.81 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2009.15450 | ||
| Authors | ||
| Imad H.Aboud1; Qassim M. Jameel2 | ||
| 1University of Anbar. College of science | ||
| 2University of Anbar. College of science. | ||
| Abstract | ||
| Redundant variables not only in LASER applications, but in all experimental works are disturbing statistical analysis as a result of highly correlation among them. It is not easy sometimes to identify which set of variables is redundant and which one is retained. In addition, consideration of huge sets of variables will make it difficult to point out the joint effects of any subset of variables on a certain phenomenon. It is well know that continuous variables can be transformed into a discrete (categorical) form depending on predefined intervals, thus, the categorical principal component analysis was adopted here in this paper to identify the discarded set of variables when the data contained some variability. The effect of identifying groups of retained variables was compared by observing the natural grouping of elements using single linkage clustering of elements | ||
| Keywords | ||
| CATPCA; Single linkage clustering; Laser | ||
| References | ||
|
1. Sharma, S. (1996). Applied Multivariate Techniques. John Wiely & Sons, Inc. New York.
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3. Jolliffe, I. T. (1973). Discarding Variables in a Principal Component Analysis II: Real Data. Applied Statistics, 21, 160-173.
4. Krzanowski, W. J. (1988). Princip;es of Multivariate Analysis: a user’s perspective. Clarendon Press, Oxford.
5. E. B. Fowlkes & C. L. Mallows (September 1983). "A Method for Comparing Two Hierarchical Clusterings". Journal of the American Statistical Association 78 (383): 553–584.
6. Jacqueline J. Meulman, Anita J Van der Kooji and Willem J. Heiser. Principal component analysis with non-linear scaling transformations for ordinal and nominal data. http://www.sagepub.com/upm-data/5040_Kaplan_Final_Pages_Chapter_3.pdf
7. Spindloe C. The production of multi-element opacity targets for X-ray laser experiments. Central LASER Facility Annual report 2006/2007 | ||
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