The DOI matches its Crossref record; 35 of the 35 references it cites were found in a registry or an index.
FORWARD SELECTION OF EXPLANATORY VARIABLES
Abstract
This paper proposes a new way of using forward selection of explanatory variables in regression or canonical redundancy analysis. The classical forward selection method presents two problems: a highly inflated Type I error and an overestimation of the amount of explained variance. Correcting these problems will greatly improve the performance of this very useful method in ecological modeling. To prevent the first problem, we propose a two‐step procedure. First, a global test using all explanatory variables is carried out. If, and only if, the global test is significant, one can proceed with forward selection. To prevent overestimation of the explained variance, the forward selection has to be carried out with two stopping criteria: (1) the usual alpha significance level and (2) the adjusted coefficient of multiple determination ( ) calculated using all explanatory variables. When forward selection identifies a variable that brings one or the other criterion over the fixed threshold, that variable is rejected, and the procedure is stopped. This improved method is validated by simulations involving univariate and multivariate response data. An ecological example is presented using data from the Bryce Canyon National Park, Utah, USA.
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Cites
Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences
Cohen, P., Cohen, P., West, S. G., & Aiken, L. S. (2014) · Psychology Press eBooks · doi:10.4324/9781410606266 · Cited by 20,737
Applied Linear Statistical Models
(1997) · Technometrics · doi:10.1080/00401706.1997.10485141 · Cited by 7,185
Applied Linear Statistical Models.
Lorenz, F., Neter, J., Wasserman, W., & Kutner, M. H. (1986) · Journal of the American Statistical Association · doi:10.2307/2289108 · Cited by 5,565
Fisher, R. A. (1936) · BMJ · doi:10.1136/bmj.1.3923.554-a · Cited by 4,980
Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences.
Fong, G. T., Cohen, J., & Cohen, P. (1985) · Journal of the American Statistical Association · doi:10.2307/2287930 · Cited by 4,475
Randomization, Bootstrap and Monte Carlo Methods in Biology
Manly, B. F. J. (2018) · Chapman & Hall/CRC eBooks · doi:10.1201/9781315273075 · Cited by 4,194
Regression Analysis by Example.
Kmenta, J., Chatterjee, S., & Price, B. (1980) · Journal of the American Statistical Association · doi:10.2307/2287213 · Cited by 3,198
Rectangular Confidence Regions for the Means of Multivariate Normal Distributions
Šidák, Z. (1967) · Journal of the American Statistical Association · doi:10.1080/01621459.1967.10482935 · Cited by 2,639
Dray, S., Legendre, P., & Peres-Neto, P. R. (2006) · Ecological Modelling · doi:10.1016/j.ecolmodel.2006.02.015 · Cited by 2,003
Self-citation
Research works printed but not linked: 13
- Bonferroni C. E., 1935, Studi in onore del Professore Salvatore Ortu Carboni, 13
- 10.2307/1267954 · doi:10.2307/1267954
- 10.1007/s11258-004-1956-2 · doi:10.1007/s11258-004-1956-2
- Ezekiel M., 1930, Method of correlation analysis
- 10.2307/3545216 · doi:10.2307/3545216
- Legendre P., 1998, Numerical ecology
- 10.2307/1268382 · DOI
- Roberts D. W., 1988, Plant community distribution and dynamics in Bryce Canyon National Park, 10.13001/uwnpsrc.1988.2693 · doi:10.13001/uwnpsrc.1988.2693
- 10.2307/2283989 · DOI
- 10.1016/j.quascirev.2005.05.001 · doi:10.1016/j.quascirev.2005.05.001
- Westfall P. H., 1998, Forward selection error control in the analysis of supersaturated designs, Statistica Sinica, 8, 101
- 10.1037/0033-2909.86.1.168 · doi:10.1037/0033-2909.86.1.168
- 10.2307/1268227 · doi:10.2307/1268227
Cited by
Forstmeier, W., & Schielzeth, H. (2011) · Behavioral Ecology and Sociobiology · doi:10.1007/s00265-010-1038-5 · Cited by 1,120
Chen, W., Ren, K., Isabwe, A., Chen, H., Liu, M., & Yang, J. (2019) · Microbiome · doi:10.1186/s40168-019-0749-8 · Cited by 804
Modeling causes of death: an integrated approach using CODEm
Foreman, K. J., Lozano, R., Lopez, A. D., & Murray, C. J. (2012) · Population Health Metrics · doi:10.1186/1478-7954-10-1 · Cited by 564
Myers, J. A., Chase, J. M., Jiménez, I., Jørgensen, P. M., Araujo‐Murakami, A., Paniagua‐Zambrana, N., & Seidel, R. (2013) · Ecology Letters · doi:10.1111/ele.12021 · Cited by 470
Disturbance alters beta‐diversity but not the relative importance of community assembly mechanisms
Myers, J. A., Chase, J. M., Crandall, R. M., & Jiménez, I. (2015) · Journal of Ecology · doi:10.1111/1365-2745.12436 · Cited by 158
Metadata
- Authors
- Blanchet, F. G., Legendre, P., & Borcard, D.
- Venue
- Ecology
- Publisher
- Wiley
- Published
- 2008-09
- Volume
- 89
- Issue
- 9
- Pages
- 2623-2632
- ISSN
- 0012-9658 (ISSN-L)
- 1939-9170
- OpenAlex
- W1988619277
- Cited by
- 2,116
- References
- 35
- FWCI
- 28.25
- Type
- journal article
- Language
- en
- Open access
- closed
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