Krueger and Wegner – Dominance Analysis in Imaging implement it, may well be applicable in many other fields of research. ACKNOWLEDGMENT We would like to thank Dr. Timothy Hess for his assistance with this project. His programming skills and statistical knowledge were helpful in getting us to this point. We would also like to thank Dr. Sterling Johnson for his cooperation with our team and for a behind-the-scenes look at his laboratory. Without his data and research, we might never have finished and our project might never have been possible.
REFERENCES [1]
[2]
[3]
[4] [5] [6]
[7] [8]
Alzheimer’s Association. “Alzheimer’s Facts and Figures.” 3 April 2009. http://www.alz.org/alzheimers_disease_facts_figures.asp?gclid=CK3 gh-v6lZoCFRINDQod7nyhMQ. Johnson, Sterling. “Functional Imaging in Early Detection of Alzheimer’s Disease.” University of Wisconsin-Madison Institute on Aging. 5 February 2009. http://aging.wisc.edu/research/affil.php?Ident=120. Office of Health Care Access. “Final Decision: Yale-New Haven Hospital.” 22 December 2008. http://www.ct.gov/ohca/lib/ohca/condecisions/decisions_2009/08_31 290_wvr.pdf. Ashburner, J., K. Friston, and W. Penny. Human Brain Function. St. Louis, MO: Academic Press, 2003. Ridgway, Ged. “Spatial Preprocessing.” Center for Medical Image Computing, University College, London. 2009. http://www.fil.ion.ucl.ac.uk/spm/course/slides09-zurich/. Azen, Razia. “The Dominance Analysis Approach for Comparing Predictors in Multiple Regression.” American Psychological Association, Inc. Psychological Methods, 2003, Vol. 8, No. 2, pp. 129-148. Shieh, G. (2001). The inequality between the coefficient of determination and the sum of squared simple correlation coefficients. The American Statistician, 55, 121-124. Budescu, D. V. (1993). Dominance analysis: A new approach to the problem of relative importance of predictors in multiple regression. Psychological Bulletin, 114, 542-551.
Brett M. Wegner was born in Watertown, Wisconsin on September 24, 1986. He is currently finishing up his senior year at Ripon College in Ripon, Wisconsin with a Bachelor of Arts degree in mathematics and business administration with a minor in economics. He has worked in the mathematics and computer science department at Ripon College for two years and in the athletic department for four. Following graduation, he will be attending the University of Wisconsin-Madison to earn a masters degree in accounting. Mr. Wegner is a member of the Ripon College Laurel Society, Phi Beta Kappa, and Omicron Delta Epsilon. He currently plays on the Ripon Redhawk baseball team and participates in many intramural sports. He enjoys numbers, golfing, euchre, and being active.
Nicholas R. Krueger was born in El Paso, TX on 25 July 1987 and currently resides in Menomonie, WI. He is finishing his bachelor’s degree at Ripon College in Ripon, WI in May 2009 with majors in mathematics and political science and with minors in Latin and national security studies. He has been employed while attending Ripon College as a political science departmental assistant; as the student coordinator of the National Security Studies program; and as a mathematics tutor. In August 2009, he will enroll in Georgetown University’s Security Studies Program to earn a masters degree in international relations. Mr. Krueger is a member of the Ripon College Laurel Society and Phi Beta Kappa. He participates frequently in intramural sports and edits the Ripon College International Relations Review. He enjoys reading, playing softball, and enjoying the outdoors.
APPENDIX A: SAMPLE DATA The example explained in the text was composed of five unique predictor variables that the medical research team in Madison provided us with. A small portion of the experimental data is presented below. V1
V1M
Edyrs
Age
V1LT
V1LTr
2013
30
12
900
29
5
2023
27
16
875
31
0
2068
27
18
919
35
5
2073
24
12
925
25
2
2089
26
12
1,024
24
2
SUPPLEMENTARY MATERIAL The R code for performing the Dominance Analysis Approach can be found at http://ripon.edu/academics/macs/summation/2009/supp/dom-R.pdf
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