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Dichotomous Logistic Regression with Leave-One-Out Validation
Abstract:In this paper, the concepts of dichotomous logistic regression (DLR) with leave-one-out (L-O-O) were discussed. To illustrate this, the L-O-O was run to determine the importance of the simulation conditions for robust test of spread procedures with good Type I error rates. The resultant model was then evaluated. The discussions included 1) assessment of the accuracy of the model, and 2) parameter estimates. These were presented and illustrated by modeling the relationship between the dichotomous dependent variable (Type I error rates) with a set of independent variables (the simulation conditions). The base SAS software containing PROC LOGISTIC and DATA step functions can be making used to do the DLR analysis.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1057129Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1681
 A. Agresti, An Introduction to Categorical Data Analysis, 2nd ed. New York: Wiley, 2002.
 J. M. Henshall, and M. E. Goddard, "Multiple-trait mapping of quantitative trait loci after selective genotyping using logistic regression," Genetics, vol.151, pp. 885-894, 1999.
 D. F. Levinson, P. Holmans, R. E. Straub, M. J. Owen, D. B. Wildenauer, P. V. Gejman, A. E. Pulver, C. Laurent, K. S. Kendler, D. Walsh, N. Norton, N. M. Williams, S. G. Schwab, B. Lerer, B. J. Mowry, A. R. Sanders, S. E. Antonarakis, J. L. Blouin, , J. F. DeLeuze, and J. Mallet, "Multicenter linkage study of schizophrenia candidate regions on chromosomes 5q, 6q, 10p and 13q: Schizophrenia linkage collaborative group III," American Journal of Human Genetics, vol. 67, pp. 652-663.
 A. DeMaris, "Feedback: Interpreting logistic regression results: A critical commentary," Journal of Marriage and the Family, vol. 52, pp. 271-277, 1990.
 P. S. Morgan, and J. D. Teachman, "Logistic regression: Description, examples, and comparisons," Journal of Marriage and the Family, vol.50, pp. 928-936, 1988.
 I. L. Lottes, M. A. Adler, and A. DeMaris, "Using and interpreting logistic regression: A guide for teaching and students," Journal of Teaching Sociology, vol. 24, pp. 284-298, 1996.
 D. R. Cox, and E. J. Snell, The Analysis of Binary Data, 2nd ed. London: Chapman & Hall, 1989.
 D. W. Hosmer, and S. Lemeshow, Applied Logistic Regression. New York: Wiley, 1989.
 F. Azuaje, "Genomic data sampling and its effect on classification performance assessment," BMC Bioinformatics, vol.4, pp. 1-14, 2003.
 D. Pregibon, "Logistic regression diagnostics," The Annals of Statistics, vol.9, pp. 705-724, 1981.
 P. McCullagh, and J. A. Nelder, Generalized linear models, 2nd ed. London: Chapman and Hall, 1989.
 M. Crask, and Perreault, "Validation of discriminant analysis in marketing research," Journal of Marketing Research, vol.14, pp.60-68, 1977.
 W. R. Dillon, and M. Goldstein, Multivariate Analysis: Methods and Applications. New York: Wiley, 1984.
 P. A. Lachenbruch, Discriminant Analysis. New York: Hafner, 1975.
 G. Gong, "Cross-validation, the jackknife and the bootstrap excess error estimation in forward regression logistic regression," Journal of the American Statistical Association, vol.81, no.393, pp.108-113, 1986.
 C. J. Huberty, Applied Discriminant Analysis. New York: Wiley, 1994.
 R. A. Johnson, and D. W. Wichern, Applied Multivariate Statistical Analysis, 5th ed. Upper Saddle River, NJ: Prentice-Hall, 2002.
 C. J. Huberty, J. M. Wisenbaker, J. D. Smith, and J. C. Smith, "Using categorical variables in discriminant analysis," Multivariate Behavioral Research, vol.21, pp. 479-496, 1986.
 D. C. Montgomery, E. A. Peck, and G. Vinning, An Introduction to Linear Regression Analysis, 3rd ed. New York: Wiley, 2001.
 S. Menard, Applied Logistic Regression Analysis, 2nd ed. Thousand Oaks: Sage Publications, 2002.
 D. G. Kleinbaum, L. L. Kupper, K. E. Muller, and A. Nizam, Applied Regression Analysis and Other Multivariate Methods. New York: Duxbury Press, 1998.
 H. J. Keselman, R. R. Wilcox, J. Algina, A. R. Othman, and K. A. Fradette, "Comparative study of robust tests for spread: asymmetric trimming strategies," British Journal of Mathematical and Statistical Psychology, vol.61, pp.235-253, 2008.
 A. I. Fleishman, "A method for simulating non-normal distributions," Psychometrika, vol.43, pp. 521-532, 1978.
 D. C. Hoaglin, Summarizing Shape Numerically: The g- and h- Distributions. In D. C. Hoaglin, F. Mosteller & J. Tukey (Eds.), Exploring Data Tables, Trends, and Shapes (pp. 461-513). New York: Wiley, 1985.