Residential College | false |
Status | 已發表Published |
Logit tree models for discrete choice data with application to advice-seeking preferences among Chinese Christians | |
Yu, P. L. H.; Lee, P. H.; Cheung, S. F.; Lau, E. Y. Y.; Mok, S. Y.; Hui, C. H. | |
2016-06-01 | |
Source Publication | Computational Statistics |
ABS Journal Level | 2 |
ISSN | 0943-4062 |
Volume | 31Pages:799-827 |
Abstract | Logit models are popular tools for analyzing discrete choice and ranking data. The models assume that judges rate each item with a measurable utility, and the ordering of a judge’s utilities determines the outcome. Logit models have been proven to be powerful tools, but they become difficult to interpret if the models contain nonlinear and interaction terms. We extended the logit models by adding a decision tree structure to overcome this difficulty. We introduced a new method of tree splitting variable selection that distinguishes the nonlinear and linear effects, and the variable with the strongest nonlinear effect will be selected in the view that linear effect is best modeled using the logit model. Decision trees built in this fashion were shown to have smaller sizes than those using loglikelihood-based splitting criteria. In addition, the proposed splitting methods could save computational time and avoid bias in choosing the optimal splitting variable. Issues on variable selection in logit models are also investigated, and forward selection criterion was shown to work well with logit tree models. Focused on ranking data, simulations are carried out and the results showed that our proposed splitting methods are unbiased. Finally, to demonstrate the feasibility of the logit .. |
Keyword | Binary Data Decision Tree Multinomial Data Ranking Data Variable Selection |
DOI | 10.1007/s00180-015-0588-4 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS ID | WOS:000374375800019 |
The Source to Article | PB_Publication |
Scopus ID | 2-s2.0-84930898292 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF PSYCHOLOGY |
Corresponding Author | Lee, P. H. |
Recommended Citation GB/T 7714 | Yu, P. L. H.,Lee, P. H.,Cheung, S. F.,et al. Logit tree models for discrete choice data with application to advice-seeking preferences among Chinese Christians[J]. Computational Statistics, 2016, 31, 799-827. |
APA | Yu, P. L. H.., Lee, P. H.., Cheung, S. F.., Lau, E. Y. Y.., Mok, S. Y.., & Hui, C. H. (2016). Logit tree models for discrete choice data with application to advice-seeking preferences among Chinese Christians. Computational Statistics, 31, 799-827. |
MLA | Yu, P. L. H.,et al."Logit tree models for discrete choice data with application to advice-seeking preferences among Chinese Christians".Computational Statistics 31(2016):799-827. |
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