@article{oai:kansai-u.repo.nii.ac.jp:00011859,
 author = {清水, 和秋},
 journal = {関西大学心理学研究},
 month = {Mar},
 note = {Exploratory factor analysis for items is used to establish meaningful factors underlying the multi-dimensional constructs. Checking the factor pattern matrix, the scales representing the factors are constructed. Automatically, alpha coefficients are reported as the reliabilities of such scales. The purpose of this study is to demonstrate that the scale reliability can directly calculate as the communality of this scale by the factor pattern matrix and inter-factor correlation matrix of item common factors. In single factor model, the square of the factor structure of a scale calculated by the correlation between the scale and the common factor is equal to the coefficient omega for the factor-based reliability of a scale by McDonald (1999). To expand the theory on the communality of a scale in the one dimensional space of items to in the multi-oblique-factor space, the factor structures and the factor patters of common factors of a scale are defined using item factor patterns and factor correlations. The scalar of the row vector of scale factor structures multiplied by the column vector of scale factor patterns is the communality and the reliability of this scale in the item-factor space. Examples of scale communalities and coefficients of factor-trueness are demonstrated with the script of R for scale statistics in item-factor space.},
 pages = {9--24},
 title = {項目因子分析で構成した尺度の因子パターン，共通性，信頼性そして因子的真実性},
 volume = {1},
 year = {2010}
}