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Faktorenanalyse: (3 Studienskripten zur Soziologie)

Faktorenanalyse: (3 Studienskripten zur Soziologie)


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About the Book

Die Faktorenanalyse - ursprunglich in der Psychologie zur Mes- sung der Intelligenz entwickelt - ist heute ein in allen Hu- manwissenschaften sowie in einer Reihe von Naturwissenschaften - etwa Biblbgie und Medizin - haufig angewendetes Verfahren, urn eine Vielzahl von Variablen auf wenige zugrundeliegende Va- riable zu reduzieren. Trotz einiger hervorragender Bucher im deutschen Sprachraurn - U b e rIa (1968), Paw 1 i k (1968), HoI m (1976) - sind noch eine Reihe von Problemen bei der Anwendung der Faktoren- analyse offen, sodaS eine Arbeit, die die neuere Literatur da- zu berucksichtigt, gerechtfertigt ist. Die Auswahl der fast unubersehbar gewordenen Literatur auf diesem Gebiet - man denke nur an die Zeitschrift Psychometrika - und die Konzeption dieses Bandes orientiert sich an folgen- den Kriterien. Die Annahmen der Faktorenanalyse sollen deutlich gemacht und die klassischen Verfahren zur Losung des Faktorproblems dar- gestellt werden. An gangigen Verfahren werden vor allem diejenigen ausgewahlt, die in leicht zuganglichen Programmpaketen fur die Rechnung am Computer aufbereitet sind.

Table of Contents:
1 Das faktorenanalytische Modell.- 1.1 Begriffe und Bezeichnungen.- 1.2 Normierung.- 1.3 Orthogonale und korrelierte Faktoren.- 1.4 Unbestimmtheit von Faktorladungen und Faktorwerten.- 1.5 Implikationen für die Anwendung der Faktorenanalyse.- 1.6 Wegweiser durch die folgenden Abschnitte.- 2 Direkte Lösungen des Faktorproblems.- 2.1 Die Hauptkomponentenmethode.- 2.2 Die Hauptfaktorenmethode.- 2.3 R- und Q-Technik und das Theorem von Eckart und Young.- 2.4 Die Methode der minimalen Residuen.- 2.5 Alpha Faktorenanalyse.- 2.6 Kanonische und Maximum Likelihood Faktorenanalyse.- 2.7 Vereinheitlichung und effiziente Lösung des Faktorproblems.- 3 Faktorrotation und exploratorische Faktorenanalyse.- 3.1 Orthogonale Rotation.- 3.2 Schiefwinkelige (oblique) Rotation.- 4 Berechnung der Faktorwerte.- 5 Konfirmatorische Faktorenanalyse.- 5.1 Prokrustesrotation.- 5.2 Maximum Likelihood Schätzung.- 5.3 Erweiterung der ML Schätzung auf lineare Strukturgleichungen.- 6 Robuste Schätzung des Korrelationskoeffizienten.- 7 Faktorenanalyse bei ordinalem und nominalem Meßniveau.- 7.1 Faktorisierung ordinaler Variablen.- 7.2 Die Verwendung von ? Koeffizienten.- 7.3 Ursprünglich normal verteilte dichotome Variable.- 7.4 Behandlung polytomer Variablen.- 7.5 Faktorenanalyse von Variablen mit unterschiedlichem Meßniveau.- Anhang 1: Erwartungswerte.- Anhang 2: Numerische Lösung des Eigenwertproblems.- Anhang 3: Maximum Likelihood (ML) Schätzung.- Anhang 4: Rechenregeln zum Differenzieren von Matrizen.- Anhang 5: Minimierung einer Funktion von mehreren Variablen.


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Product Details
  • ISBN-13: 9783519000242
  • Publisher: Springer Fachmedien Wiesbaden
  • Publisher Imprint: Vieweg+Teubner Verlag
  • Language: German
  • Returnable: N
  • Series Title: 3 Studienskripten zur Soziologie
  • ISBN-10: 3519000245
  • Publisher Date: 01 Sep 1979
  • Binding: Paperback
  • No of Pages: 198
  • Returnable: N


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Faktorenanalyse: (3 Studienskripten zur Soziologie)
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