Jump to ContentJump to Main Navigation

Online

99,00 € / $149.00*

* Prices subject to change. Shipping costs will be added if applicable.
Publication Date:
July 2009
ISSN:
1557-4679
DOI:
10.2202/1557-4679.1105

See all formats and pricing

Online
Individual Subscription Online only
Euro [D] 99.00
RRP for USA, Canada, Mexico
US$ 149.00 *
Print
Individual Subscription Online only
Euro [D] 285.00
RRP for USA, Canada, Mexico
US$ 384.00 *
Print + Online
Individual Subscription Online only
Euro [D] 342.00
RRP for USA, Canada, Mexico
US$ 461.00 *
*Prices subject to change. Shipping costs will be added if applicable.

Ed. by Hubbard, Alan E. / van der Laan, Mark J.

1 Issue per year

IMPACT FACTOR 2011: 1.284

On the Use of K-Fold Cross-Validation to Choose Cutoff Values and Assess the Performance of Predictive Models in Stepwise Regression

Zafar Mahmood / Salahuddin Khan

1NWFP Agricultural University, Peshawar

1University of Peshawar

Citation Information: The International Journal of Biostatistics. Volume 5, Issue 1, Pages –, ISSN (Online) 1557-4679, DOI: 10.2202/1557-4679.1105, July 2009

Publication History:
Published Online:
2009-07-27

This paper addresses a methodological technique of leave-many-out cross-validation for choosing cutoff values in stepwise regression methods for simplifying the final regression model. A practical approach to choose cutoff values through cross-validation is to compute the minimum Predicted Residual Sum of Squares (PRESS). A leave-one-out cross-validation may overestimate the predictive model capabilities, for example see Shao (1993) and So et al (2000). Shao proves with asymptotic results and simulation that the model with the minimum value for the leave-one-out cross validation estimate of predictor errors is often over specified. That is, too many insignificant variables are contained in set ?i of the regression model. He recommended using a method that leaves out a subset of observations, called K-fold cross-validation. Leave-many-out procedures can be more adequate in order to obtain significant and optimal results. We describe various investigations for the assessment of performance of predictive regression models, including different values of K in K-fold cross-validation and selecting the best possible cutoff-values for automated model selection methods. We propose a resampling procedure by introducing alternative estimates of boosted cross-validated PRESS values for deciding the number of observations (l) to be omitted and number of folds/subsets (K) subsequently in K-fold cross-validation. Salahuddin and Hawkes (1991) used leave-one-out cross-validation to select equal cutoff values in stepwise regression which minimizes PRESS. We concentrate on applying K-fold cross-validation to choose unequal cutoff values that is F-to-enter and F-to-remove values which are then used for determining predictor variables in a regression model from the full data set. Our computer program for K-fold cross-validation can be efficiently used for choosing both equal and unequal cutoff values for automated model selection methods. Some previously analyzed data and Monte Carlo simulation are used to evaluate the proposed method against alternatives through a design experiment approach.

Keywords: cross-validation; cutoff values; stepwise regression; prediction; variable selection

Comments (0)

Please log in or register to comment.