Advice on Statistical Analysis for Circulation Research by Hideo Kusuoka and Julien I.E. Hoffman

By Hideo Kusuoka and Julien I.E. Hoffman

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The values recorded in the table include x 1 (subject’s age); x 2 (total response of both eyes to stimulus S1, that is, S1L + S1R ); x 3 (difference between responses of eyes to stimulus S1, ƒ S1L - S1R ƒ ); and so forth. (a) Plot the two-dimensional scatter diagram for the variables x 2 and x 4 for the multiple-sclerosis group. Comment on the appearance of the diagram. (b) Compute the x–, Sn , and R arrays for the non-multiple-sclerosis and multiplesclerosis groups separately. 15. ) The data consist of average ratings over the course of treatment for patients undergoing radiotherapy.

22. Naik, D. , and R. Khattree. ” The American Statistician, 50, no. 2 (1996), 140–144. 23. Nason, G. ” Applied Statistics, 44, no. 4 (1995), 411–430. 24. , and R. Taffler. ” Accounting and Business Research, 14, no. 54 (1984), 139–146. 25. Spenner, K. I. D. dissertation, University of Wisconsin, 1977. 26. , et al. ” New England Journal of Medicine, 318, no. 3 (1988), 134–139. 27. Timm, N. H. Multivariate Analysis with Applications in Education and Psychology. Monterey, CA: Brooks/Cole, 1975. 28.

This is because each coordinate contributes equally to the calculation of Euclidean distance. When the coordinates represent measurements that are subject to random fluctuations of differing magnitudes, it is often desirable to weight coordinates subject to a great deal of variability less heavily than those that are not highly variable. This suggests a different measure of distance. Our purpose now is to develop a “statistical” distance that accounts for differences in variation and, in due course, the presence of correlation.

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