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Hybrid adaptive index model for binary response data

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Title: Hybrid adaptive index model for binary response data
Authors: Wan, Ke Browse this author
Tanioka, Kensuke Browse this author →KAKEN DB
Minami, Hiroyuki Browse this author →KAKEN DB
Mizuta, Masahiro Browse this author →KAKEN DB
Shimokawa, Toshio Browse this author →KAKEN DB
Keywords: Production rule
Logistic regression model
Controllable explanatory variables
Uncontrollable explanatory variables
Issue Date: Jul-2021
Publisher: Springer Nature
Journal Title: Japanese Journal of Statistics and Data Science
Volume: 4
Issue: 1
Start Page: 299
End Page: 315
Publisher DOI: 10.1007/s42081-020-00097-6
Abstract: We often meet the case in data analysis that the explanatory variables can be occasionally divided into two groups. One group comprises the variables that researchers consider controllable, and the other group comprises those they do not. We call them controllable and uncontrollable variables, respectively. In the study, we deal with binary response data and aim to estimate the relationship between the binary response and controllable variables. Logistic regression model is typically used in binary response data. In addition to that, AIM (Adaptive Index Model; (Tian and Tibshirani Biostatics 12:68-86, 2010)) can also be used in binary response data. Contrast with logistic regression model, AIM can explain the result easier using binary rules but the prediction accuracy of AIM is shown worse than that of logistic regression model. Considering the interpretability and accuracy, it is better to apply AIM to controllable variables and adjust the effect of uncontrollable variables using logistic regression model. Therefore, we propose the method combining AIM and logistic regression model, called hybrid adaptive index model (HAIM), to give best solution.
Rights: This is a post-peer-review, pre-copyedit version of an article published in Japanese Journal of Statistics and Data Science. The final authenticated version is available online at:
Type: article (author version)
Appears in Collections:情報基盤センター (Information Initiative Center) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 水田 正弘

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