手法を比較
選択した手法を並べて確認できます。異なる行はハイライト表示されます。
| 因子分析× | 多変量分散分析 (MANOVA)× | |
|---|---|---|
| 分野≠ | 研究統計 | 統計学 |
| 系統≠ | Process / pipeline | Hypothesis test |
| 提唱年≠ | 1931 | 1932 |
| 提唱者≠ | Louis Leon Thurstone | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) |
| 種類≠ | Method | Parametric multivariate mean comparison |
| 原典≠ | Thurstone, L. L. (1947). Multiple Factor Analysis. University of Chicago Press. DOI ↗ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 |
| 別名≠ | EFA, CFA, latent variable modeling | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) |
| 関連≠ | 3 | 5 |
| 概要≠ | Factor analysis is a statistical technique for identifying latent (unobserved) dimensions underlying observed variables, developed by Louis Leon Thurstone in the 1930s and formalized by Jöreskog (1969). Exploratory factor analysis (EFA) discovers unknown factor structure from data; confirmatory factor analysis (CFA) tests hypothesized relationships between observed and latent variables. Essential in psychometrics (test development), organizational research (measuring constructs like leadership style), and biomedicine (identifying disease subtypes), factor analysis reduces dimensionality while revealing conceptual organization in multivariate data. | MANOVA is a parametric hypothesis test that simultaneously compares group means across multiple continuous dependent variables, controlling the inflation of Type I error that would result from running separate ANOVAs. Key multivariate test statistics — Wilks' Lambda, Pillai's Trace, Hotelling-Lawley Trace, and Roy's Greatest Root — were developed between the 1930s and 1950s, with Wilks' Lambda formalised by Samuel Stanley Wilks in 1932. |
| ScholarGateデータセット ↗ |
|
|