| Abstract: | We investigated CART performance with a unimodal response curve for one continuous response and four continuous explanatory variables, where two variables were important (ie directly related to the response) and the other two were not. We explored performance under three relationship strengths and two explanatory variable conditions: equal importance and one variable four times as important as the other. We compared CART variable selection performance using three tree-selection rules (‘minimum risk‘, ‘minimum risk complexity‘, ‘one standard error‘) to stepwise polynomial ordinary least squares (OLS) under four sample size conditions. The one-standard-error and minimum-risk-complexity methods performed about as well as stepwise OLS with large sample sizes when the relationship was strong. With weaker relationships, equally important explanatory variables and larger sample sizes, the one-standard-error and minimum-risk-complexity rules performed better than stepwise OLS. With weaker relationships and explanatory variables of unequal importance, tree-structured methods did not perform as well as stepwise OLS. Comparing performance within tree-structured methods, with a strong relationship and equally important explanatory variables, the one-standard-error-rule was more likely to choose the correct model than were the other tree-selection rules 1) with weaker relationships and equally important explanatory variables; and 2) under all relationship strengths when explanatory variables were of unequal importance and sample sizes were lower. |
| Genre: | Article |
| ProdID: | 70020386 |
| Citation Author: | Ribic, C. A.; Miller, T. W. |
| Citation Contributing Office: | |
| Citation Datum: | |
| Citation Day: | |
| Citation Edition: | |
| Citation Editor: | |
| Citation End Page: | 698 |
| Citation Issue: | 5 |
| Citation Keywords: | |
| Citation Language: | English |
| Citation Larger Work Title: | Journal of Applied Statistics |
| Citation LatN: | |
| Citation LatS: | |
| Citation LonE: | |
| Citation LonW: | |
| Citation Month: | |
| Citation No Pagination: | |
| Citation Number Of Pages: | 14 |
| Citation Online Only Flag: | |
| Citation Phsyical Description: | |
| Citation Projection: | |
| Citation Public Comments: | |
| Citation Publisher: | |
| Citation Series: | |
| Citation Series Code: | |
| Citation Series Number: | |
| Citation Search Results Text: | Evaluation of alternative model selection criteria in the analysis of unimodal response curves using CART; 1998; Article; Journal; Journal of Applied Statistics; Ribic, C. A.; Miller, T. W. |
| Citation Start Page: | 685 |
| Citation Volume: | 25 |
| Citation Year: | 1998 |
| Type: | citation/reference |
| Text: | Evaluation of alternative model selection criteria in the analysis of unimodal response curves using CART; 1998; Article; Journal; Journal of Applied Statistics; Ribic, C. A.; Miller, T. W. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| Date Other: | Thu, 1 Jan 1998 00:00 -0600 |
| Publisher: | |
