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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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Marriott, F. H. C. The Interpretation of Multiple Observations. London: Academic Press, 1974. 20. Mather, P. M. ” Mathematical Geology, 4, no. 3 (1972), 219–234. 21. , et al. ” Journal of Applied Psychology, 76, no. 3 (1991), 465–473. 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.

Are the breeds well separated in this coordinate system? (c) Repeat part b using Breed, FtFrBody, and SaleHt. Which three-dimensional display appears to result in the best separation of the three breeds of bulls? 1 1458 Source: Data courtesy of Mark Ellersieck. 27. 11 presents the 2005 attendance (millions) at the fifteen most visited national parks and their size (acres). (a) Create a scatter plot and calculate the correlation coefficient. 46 References 47 (b) Identify the park that is unusual.

20. 20 A scatter plot with greater variability in the x 1 direction than in the x 2 direction. 20, we see that values which are a given deviation from the origin in the x1 direction are not as “surprising” or “unusual” as are values equidistant from the origin in the x2 direction. This is because the inherent variability in the x1 direction is greater than the variability in the x2 direction. Consequently, large x1 coordinates (in absolute value) are not as unexpected as large x2 coordinates. It seems reasonable, then, to weight an x2 coordinate more heavily than an x1 coordinate of the same value when computing the “distance” to the origin.

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