One-Mode Multi-Way Data Analysis Using Multidimensional Scaling

使用多维尺度的单模式多路数据分析

• 批准号: 20700257
• 负责人: NAKAYAMA Atsuho
• 金额: $ 2.83万
• 依托单位: Rikkyo University (2008, 2010)Nagasaki University (2009)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Young Scientists (B)
• 财政年份: 2008
• 资助国家: 日本
• 起止时间: 2008 至 2010
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20700257/
• 关键词: Conditional association; Dyadic relationships; Marginal association; Multidimensional scaling; Multi-way relationships; Triadic distance; Visualization; Dadic relationships

The purpose of present study is to examine whether one-mode multi-way multidimensional scaling (MDS) is necessary or not. In the previous studies, it is concluded that the results of a one-mode three-way MDS are similar to that of a one-mode two-way MDS. The reason for such similarity is that strong influences of dyadic relationships on triadic relationships would be included in one-mode three-way proximity data. If, the results of a one-mode three-way MDS are similar to that of a one-mode two-way MDS, dyadic relationships strongly influences triadic relationships. On the other hand, if the results of a one-mode three-way MDS are not similar to that of a one-mode two-way MDS, dyadic relationships weakly influences triadic relationships. Under weak influence of the dyadic relationships, the triadic and dyadic relationships would be separately analyzed. So, the present study compares the results obtained from marginal association with that of conditional association. It examined whether one-mode multi-way multidimensional scaling model is necessary or not. Finally, the proposed model was applied to the consumer behavior data.

本研究的目的是检验单模多向多维尺度(MDS)是否必要。在以往的研究中，单模三向MDS的结果与单模双向MDS的结果相似。之所以有这种相似性，是因为在单模三向接近度数据中会包含二元关系对三元关系的强烈影响。如果单模三向MDS的结果与单模双向MDS的结果相似，则并元关系强烈地影响三元关系。另一方面，如果单模三向MDS的结果与单模双向MDS的结果不同，则并元关系对三元关系的影响较弱。在二元关系影响较弱的情况下，分别对三元关系和二元关系进行分析。因此，本研究比较了边际联想和条件联想的结果。它考察了单模多向多维尺度模型是否必要。最后，将所提出的模型应用于消费者行为数据。

项目成果

消費者の複数カテゴリー購買行動の非対称性の分析

消费者多品类购买行为的不对称性分析

• 发表时间: 2008
• 作者: S. Yokoyama;A. Nakayama;and A. Okada;中山厚穂・岡太彬訓
• 通讯作者: 中山厚穂・岡太彬訓

特許情報のテキストマイニング(2章・8章分担執筆)

专利信息的文本挖掘（共同撰写第2章和第8章）

• 发表时间: 2010
• 作者: S. Yokoyama;A. Nakayama;and A. Okada;中山厚穂・岡太彬訓;中山厚穂・鶴見裕之;中山厚穂;中山厚穂;中山厚穂;中山厚穂
• 通讯作者: 中山厚穂

Analysis of Conditional and Marginal Association in One-Mode Three-way Proximity Data

单模三向邻近数据中的条件关联和边际关联分析

• 发表时间: 2013
• 期刊: German-Japanese Interchange of Data Analysis Results
• 作者: Nakayama;A.
• 通讯作者: A.

Analysis of purchase intentions at a department store by three-way distance model.

基于三向距离模型的百货商店购买意愿分析

• 发表时间: 2009
• 期刊: Cooperation in classification and data analysis
• 作者: Nakayama;A.
• 通讯作者: A.

特許テキストデータ解析のための基礎「R」 第8章(特許情報のテキストマイニング-技術経営のパラダイム転換)(豊田裕貴・菰田文男(編著))

专利文本数据分析基础“R”第8章（专利信息的文本挖掘——技术管理的范式转变）（Yuki Toyota和Fumio Komoda（编辑））

• 发表时间: 2010
• 作者: S. Yokoyama;A. Nakayama;and A. Okada;中山厚穂・岡太彬訓;中山厚穂・鶴見裕之;中山厚穂;中山厚穂
• 通讯作者: 中山厚穂