{"title":"Rejoinder","authors":"G. Kalton","doi":"10.59170/stattrans-2023-034","DOIUrl":"https://doi.org/10.59170/stattrans-2023-034","url":null,"abstract":"I thank the discussants for their kind remarks, for their insightful comments on\u0000 the present state and future directions of the field, and for the many references they\u0000 cite. Having no disagreements with them, I will confine my rejoinder to a few issues\u0000 that their contributions have highlighted for me.","PeriodicalId":37985,"journal":{"name":"Statistics in Transition","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47581144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Quality adjusted GEKS-type indices for price comparisons based on scanner\u0000 data","authors":"Jacek Białek","doi":"10.59170/stattrans-2023-041","DOIUrl":"https://doi.org/10.59170/stattrans-2023-041","url":null,"abstract":"A wide variety of retailers (supermarkets, home electronics, Internet shops, etc.)\u0000 provide scanner data containing information at the level of the barcode, e.g. the Global\u0000 Trade Item Number (GTIN). As scanner data provide complete transaction information, we\u0000 may use the expenditure shares of items as weightsfor calculating price indices at the\u0000 lowest (elementary) level of data aggregation. The challenge here is the choice of the\u0000 index formula which should be able to reduce chain drift bias and substitution bias.\u0000 Multilateral index methods seem to be the best choice due to the dynamic character of\u0000 scanner data. These indices work on a wholetime window and are transitive, which is key\u0000 to the elimination of the chain drift effect. Following what is called an identity test,\u0000 however, it may be expected that even when only prices return to their original values,\u0000 the index becomes one. Unfortunately, the commonly used multilateral indices (GEKS,\u0000 CCDI, GK, TPD, TDH) do not meet the identity test. The paper discusses the proposal of\u0000 two multilateral indices and their weighted versions. On the one hand, the design of the\u0000 proposed indices is based on the idea of the GEKS index. On the other hand, similarly to\u0000 the Geary-Khamis method, it requires quality adjusting. It is shown that the proposed\u0000 indices meet the identity test and most other tests. In an empirical and simulation\u0000 study, these indices are compared with the SPQ index, which is relatively new and also\u0000 meets the identity test. The analytical considerations as well as empirical studies\u0000 confirm the high usefulness of the proposed indices.","PeriodicalId":37985,"journal":{"name":"Statistics in Transition","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44852663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}