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| Phân tích phương sai một yếu tố× | Phân tích phương sai đo lặp (Repeated-measures ANOVA)× | Mô hình phương trình cấu trúc (SEM)× | |
|---|---|---|---|
| Lĩnh vực | Thống kê | Thống kê | Thống kê |
| Họ≠ | Hypothesis test | Hypothesis test | Latent structure |
| Năm ra đời≠ | 1925 | 1992 | 1970 |
| Người khởi xướng≠ | Ronald A. Fisher | Girden (textbook treatment); Field (2013) | Karl Jöreskog (LISREL framework, 1970s) |
| Loại≠ | Parametric mean comparison | Parametric within-subjects mean comparison | Latent variable / causal modeling |
| Công trình gốc≠ | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ | Field, A. (2013). Discovering Statistics Using IBM SPSS Statistics (4th ed., Ch. 14). SAGE. ISBN: 978-1446249185 | Hair, J. F., Black, W. C., Babin, B. J. & Anderson, R. E. (2019). Multivariate Data Analysis (8th ed.). Cengage Learning. ISBN: 978-1473756540 |
| Tên gọi khác | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA | within-subjects ANOVA, repeated measures analysis of variance, rm-ANOVA, Tekrarlı Ölçüm ANOVA | Yapısal Eşitlik Modellemesi (SEM), structural equation modelling, covariance structure analysis, latent variable modeling |
| Liên quan≠ | 4 | 4 | 5 |
| Tóm tắt≠ | One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925. | Repeated-measures ANOVA is a parametric hypothesis test that compares three or more measurements taken from the same individuals — typically across time points or conditions — to decide whether their means differ. It extends one-way ANOVA to within-subjects designs, as treated in standard references such as Girden (1992) and Field (2013). | Structural equation modeling is a multivariate statistical framework that simultaneously estimates a measurement model — relating observed indicators to latent constructs — and a structural model specifying directional or reciprocal relationships among those constructs. Rooted in the LISREL tradition developed by Karl Jöreskog in the 1970s, SEM is the standard tool for testing complex theoretical models in the social, behavioural, and management sciences. |
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