Applied Multivariate Quantitative Methods.ppt
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1、2018/10/9,Copyright by Jen-pei Liu, PhD and Wei-Chu Chie, MD, PhD,1,Applied Multivariate Quantitative Methods,Summarization of Multivariate Data By Jen-pei Liu, PhD Division of Biometry, Department of Agronomy, National Taiwan University and Wei-Chie Chie, MD, PhD Department of Public Health Nationa
2、l Taiwan University,2018/10/9,Copyright by Jen-pei Liu, PhD and Wei-Chu Chie, MD, PhD,2,Summarization of Multivariate Data,Limitations of Graphical Presentation Two-dimensional only At one time, only three variables Not possible for one variable plotting another three at the same time No simple way
3、to describe the relationship among more than four or more variables,2018/10/9,Copyright by Jen-pei Liu, PhD and Wei-Chu Chie, MD, PhD,3,Summarization of Multivariate Data,Plotting index variables Reduction of the number of variables to a few index variables Principal components Principal component 2
4、 against principal component 1 Principal component 3 versus other two Key difference between the objects may be lost in the reduction Index variables may not have any meaningful interpretation,2018/10/9,Copyright by Jen-pei Liu, PhD and Wei-Chu Chie, MD, PhD,4,2018/10/9,Copyright by Jen-pei Liu, PhD
5、 and Wei-Chu Chie, MD, PhD,5,2018/10/9,Copyright by Jen-pei Liu, PhD and Wei-Chu Chie, MD, PhD,6,Summarization of Multivariate Data,The draftmans plot A plots of the variables for each variable against variable for each of other variables The individual graphs are small enough so that they can be vi
6、ewed at the same time Only need two-dimensional plots Can not depict aspects of the data that would only be apparent when three or more variables are considered together,2018/10/9,Copyright by Jen-pei Liu, PhD and Wei-Chu Chie, MD, PhD,7,2018/10/9,Copyright by Jen-pei Liu, PhD and Wei-Chu Chie, MD,
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