{"created":"2023-06-20T15:45:30.530129+00:00","id":11,"links":{},"metadata":{"_buckets":{"deposit":"d888117a-bf63-4ede-acfc-ef74cc0d65ec"},"_deposit":{"created_by":2,"id":"11","owners":[2],"pid":{"revision_id":0,"type":"depid","value":"11"},"status":"published"},"_oai":{"id":"oai:hama-med.repo.nii.ac.jp:00000011","sets":["6:14:41"]},"author_link":["5"],"item_2_alternative_title_1":{"attribute_name":"その他のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"On the Statistical Bias Found in the Horse Racing Data (2)"}]},"item_2_biblio_info_5":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2005-02-25","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"7","bibliographicPageStart":"1","bibliographicVolumeNumber":"19","bibliographic_titles":[{"bibliographic_title":"浜松医科大学紀要. 一般教育"}]}]},"item_2_description_30":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_2_description_9":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"This is a continuation of the author’s previous paper [3]. Taking a new point of view based on exchangeable random variables ti (i =1, 2, 3, 4) defined below, we report what type of statistical bias can be found in the horse racing data [4]. In order to define these exchangeable random variables, let us consider a racing with m participants, and denote by {a, b, c}(1 ≦ a < b < c ≦ m) a set of the numbers of the horses finishing in the top three. We recall the null hypothesis H0 in [3] : This set {a,b,c} is a result of random sampling from the population {1, 2, …, m}. Now we define t1= a, t2 = b ? a, t3= c ? b, and t4 = m+1? c. Then the probability distribution of (ti1, ti2, ti3, ti4) under H0 turns out to be the same for any permutation σ = (i1, i2, i3, i4) of the set {1, 2, 3, 4}. By using the order statistics t(i), we form a suitable decomposition for the total event Ω consisting of mC3 simple events; for example, in the case of m =16 and m =15, we have 16C3 =11×4!+(12+7+4)× 4 2 ! +(4+1)× 4 3 ! ! and 15C3 =9×4!+(9+6+2)× 4 2 ! +3×4C2+(3+1)× 4 3 ! !+1 ×1, respectively. This decomposition and its implications are discussed in §1. In §2 we take up five racetracks, Chukyo, Hanshin, Kyoto, Nakayama and Tokyo, to examine all racings of m =16 carried out on these racetracks. Indeed, the above-mentioned decomposition leads us to sum up the original data [4] into 22 kinds of contingency tables for every racetrack. Performing the chisquare tests for all contingency tables thus obtained, we arrive at the following result on the P-values :","subitem_description_type":"Abstract"}]},"item_2_publisher_6":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"浜松医科大学"}]},"item_2_source_id_19":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"09140174","subitem_source_identifier_type":"ISSN"}]},"item_2_source_id_23":{"attribute_name":"NII書誌ID","attribute_value_mlt":[{"subitem_source_identifier":"AN10032827","subitem_source_identifier_type":"NCID"}]},"item_2_version_type_32":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"野田, 明男"}],"nameIdentifiers":[{"nameIdentifier":"5","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-08-27"}],"displaytype":"detail","filename":"kiyo19_1.pdf","filesize":[{"value":"553.2 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"kiyo19_1.pdf","url":"https://hama-med.repo.nii.ac.jp/record/11/files/kiyo19_1.pdf"},"version_id":"867847bc-5969-4b82-be6e-a0839daabe65"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"adjacent interval of three numbers","subitem_subject_scheme":"Other"},{"subitem_subject":"chi-square test","subitem_subject_scheme":"Other"},{"subitem_subject":"contingency table","subitem_subject_scheme":"Other"},{"subitem_subject":"exchangeable random variables","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"競馬データにみられる統計的偏りについて （2）","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"競馬データにみられる統計的偏りについて （2）"}]},"item_type_id":"2","owner":"2","path":["41"],"pubdate":{"attribute_name":"公開日","attribute_value":"2013-08-27"},"publish_date":"2013-08-27","publish_status":"0","recid":"11","relation_version_is_last":true,"title":["競馬データにみられる統計的偏りについて （2）"],"weko_creator_id":"2","weko_shared_id":2},"updated":"2023-06-20T16:46:36.879740+00:00"}