Methoden vergleichen
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| Cronbachs Alpha (Reliabilitätsanalyse)× | Hierarchische lineare Modellierung (HLM / Mehrebenenmodellierung)× | Hauptkomponentenanalyse× | |
|---|---|---|---|
| Fachgebiet≠ | Statistik | Statistik | Maschinelles Lernen |
| Familie≠ | Latent structure | Hypothesis test | Machine learning |
| Entstehungsjahr≠ | 1951 | 1986 | 2002 |
| Urheber≠ | Lee J. Cronbach | Raudenbush & Bryk (popularized); Goldstein (parallel development) | Jolliffe, I.T. (textbook); Pearson & Hotelling (origins) |
| Typ≠ | Reliability / internal consistency coefficient | Parametric nested-data regression | Unsupervised dimensionality reduction |
| Wegweisende Quelle≠ | Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297–334. DOI ↗ | Raudenbush, S.W. & Bryk, A.S. (2002). Hierarchical Linear Models: Applications and Data Analysis Methods (2nd ed.). Sage. ISBN: 978-0761919049 | Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗ |
| Aliasnamen≠ | coefficient alpha, alpha reliability, internal consistency reliability, Güvenilirlik Analizi (Cronbach Alpha) | HLM, MLM, multilevel modeling, multilevel analysis | Temel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform |
| Verwandt≠ | 4 | 4 | 3 |
| Zusammenfassung≠ | Cronbach's alpha is a coefficient of internal consistency that quantifies the degree to which a set of items on a scale measures the same underlying construct. Introduced by Lee J. Cronbach in 1951, it remains the most widely reported reliability index in social-science, health, and educational research. | Hierarchical Linear Modeling (HLM), also known as Multilevel Modeling (MLM), is a parametric statistical method for analyzing nested or clustered data — for example students within classrooms, patients within hospitals, or employees within organizations. Formalized by Raudenbush and Bryk in their 2002 seminal text (building on work from the mid-1980s), HLM simultaneously estimates individual-level and group-level effects while correctly partitioning variance across levels. | Principal Component Analysis (PCA) is an unsupervised dimensionality-reduction method — given its modern textbook treatment by Ian Jolliffe (2002) — that compresses high-dimensional data into fewer dimensions while preserving the maximum possible variance. It re-expresses correlated variables as a small set of uncorrelated principal components ordered by how much of the data's variation each one captures. |
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