| Project/Area Number |
15K04197
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Experimental psychology
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| Research Institution | Chukyo University |
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Principal Investigator |
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 主成分分析 / 直交回転 / 斜交回転 / 多重対応分析 / クラスター分析 / 単純構造 / 心理測定尺度 / 調査データ / 正規直交多項式 / Bootstrap法 / Likert型尺度 / 重み行列の直交回転 / 反応傾向の検出 / 直交多項式 / リサンプリング法 / 心理的アセスメント / 測定の信頼性 / 測定の妥当性 / 質的データ / Likert尺度 / 数量化理論 / 直交回転による斜交回転 |
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| Outline of Final Research Achievements |
Multiple correspondence analysis is often called principal component analysis for categorical data. This project was aiming at making the statement hold literally. More concretely, a method named orthogonal polynomial principal component analysis was developed, where each category was quantified using number of categories minus one centered and orthonormal weight vectors. Astonishingly enough, it was shown that the weight vectors are entirely arbitrary, Owing yo the arbitrariness, two ways of procedures was employed; one is the coding of categories by orthogonal polynomials, the other is the quartimax rotations of the weight matrix from both sides. The method was applied to various psyhometirc and survey data, and several new findings have been obtained.
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