{"title":"Cox比例风险与多元自适应样条回归分析电子商务中产品销售时间","authors":"E. Irwansyah, D. A. N. O. Stefani, R. D. Bekti","doi":"10.5281/ZENODO.50649","DOIUrl":null,"url":null,"abstract":"Cox Proportional Hazard (Cox PH) model is a survival analysis method to perform model of relationship between independent variable and dependent variable which shown by time until an event occurs. This method compute residuals, martingale or deviance, which can used to diagnostic the lack of fit of a model and PH assumption. The alternative method if these not satisfied is Multivariate Adaptive Regression Splines(MARS) approach. This method use to perform the analysis of product selling time in e-commerce. The samples were collected by survey on website. The results areMARS model with martingale residuals has good performance than residual deviance. MARS modeling with martingale residuals have GCV minimum 0.502 with a combination of BF = 10, MI = 1, and MO = 2 with information number of products sold (X6) that contribute. Variables significant effect on α = 5% were BF_2 = (X_6-135)+, BF_3 = (X_6-170)+, and BF_5=(X_6-196)+.","PeriodicalId":44573,"journal":{"name":"International Journal of Applied Mathematics & Statistics","volume":"53 1","pages":"109-115"},"PeriodicalIF":0.3000,"publicationDate":"2014-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Cox Proportional Hazard with Multivariate Adaptive Regression Splines to Analyze the Product Sales Time in E-Commerce\",\"authors\":\"E. Irwansyah, D. A. N. O. Stefani, R. D. Bekti\",\"doi\":\"10.5281/ZENODO.50649\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Cox Proportional Hazard (Cox PH) model is a survival analysis method to perform model of relationship between independent variable and dependent variable which shown by time until an event occurs. This method compute residuals, martingale or deviance, which can used to diagnostic the lack of fit of a model and PH assumption. The alternative method if these not satisfied is Multivariate Adaptive Regression Splines(MARS) approach. This method use to perform the analysis of product selling time in e-commerce. The samples were collected by survey on website. The results areMARS model with martingale residuals has good performance than residual deviance. MARS modeling with martingale residuals have GCV minimum 0.502 with a combination of BF = 10, MI = 1, and MO = 2 with information number of products sold (X6) that contribute. Variables significant effect on α = 5% were BF_2 = (X_6-135)+, BF_3 = (X_6-170)+, and BF_5=(X_6-196)+.\",\"PeriodicalId\":44573,\"journal\":{\"name\":\"International Journal of Applied Mathematics & Statistics\",\"volume\":\"53 1\",\"pages\":\"109-115\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2014-06-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Applied Mathematics & Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5281/ZENODO.50649\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Applied Mathematics & Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5281/ZENODO.50649","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 2
摘要
Cox比例风险模型(Cox Proportional Hazard model, Cox PH)是一种生存分析方法,对事件发生前的自变量和因变量之间的关系以时间为单位进行建模。该方法计算残差、鞅或偏差,可用于诊断模型和PH假设的拟合不足。如果不满足这些条件,则采用多元自适应样条回归(MARS)方法。该方法用于电子商务中产品销售时间的分析。样本采用网上调查的方式采集。结果表明,带有鞅残差的mars模型比残差偏差具有更好的性能。带有鞅残差的MARS模型的GCV最小值为0.502,其中BF = 10, MI = 1, MO = 2,以及所销售产品的信息数量(X6)。对α = 5%有显著影响的变量为BF_2 =(X_6-135)+、BF_3 =(X_6-170)+和BF_5=(X_6-196)+。
Cox Proportional Hazard with Multivariate Adaptive Regression Splines to Analyze the Product Sales Time in E-Commerce
Cox Proportional Hazard (Cox PH) model is a survival analysis method to perform model of relationship between independent variable and dependent variable which shown by time until an event occurs. This method compute residuals, martingale or deviance, which can used to diagnostic the lack of fit of a model and PH assumption. The alternative method if these not satisfied is Multivariate Adaptive Regression Splines(MARS) approach. This method use to perform the analysis of product selling time in e-commerce. The samples were collected by survey on website. The results areMARS model with martingale residuals has good performance than residual deviance. MARS modeling with martingale residuals have GCV minimum 0.502 with a combination of BF = 10, MI = 1, and MO = 2 with information number of products sold (X6) that contribute. Variables significant effect on α = 5% were BF_2 = (X_6-135)+, BF_3 = (X_6-170)+, and BF_5=(X_6-196)+.