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Multiple Korrelation Beispiel Essay

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Die multiple Regressionsanalyse testet, ob ein Zusammenhang zwischen mehreren unabhängigen und einer abhängigen Variable besteht.

"Regressieren" steht für das Zurückgehen von der abhängigen Variable y auf die unabhängigen Variablen xk. Daher wird auch von "Regression von y auf x" gesprochen. Die abhängige Variable wird im Kontext der Regressionsanalysen auch als "Kritieriumsvariable" und die unabhängigen Variablen als "Prädiktorvariablen" bezeichnet.

In der empirischen Sozialforschung sowie in der Marktforschung gibt es selten nur eine Ursache für eine Wirkung. In der Regel werden die Werte einer abhängigen Variablen durch mehrere unabhängige Variablen beeinflusst. Diesem Umstand kann durch die multiple Regressionsanalyse Rechnung getragen werden. Sie ist eine Erweiterung der einfachen Regression und ermöglicht es, mehrere unabhängige Variablen gleichzeitig in einem Modell zu berücksichtigen.

Das Konzept und die Vorgehensweise basieren auf der einfachen Regression. Es müssen jedoch zusätzliche Voraussetzungen beachtet werden. Des Weiteren gibt es bei der multiplen Regression im Unterschied zur einfachen Regression verschiedene Arten, die unabhängigen Variablen in das Modell einzubeziehen (siehe "Multiple Regression mit SPSS").

Mittels der einfachen Regressionsanalyse können drei Arten von Fragestellungen untersucht werden:

  • Ursachenanalyse: Gibt es einen Zusammenhang zwischen der unabhängigen und der abhängigen Variable? Wie eng ist dieser?
  • Wirkungsanalyse: Wie verändert sich die abhängige Variable bei einer Änderung der unabhängigen Variablen?
  • Prognose: Können die Messwerte der abhängigen Variable durch die Werte der unabhängigen Variable vorhergesagt werden?

Es ist an dieser Stelle anzumerken, dass jeder postulierte Kausalzusammenhang theoretisch begründet sein muss.

Die Fragestellung der multiplen Regressionsanalyse wird oft so verkürzt:
"Wie beeinflussen mehrere unabhängige Variablen die abhängige Variable?", oder:
"Können die Messwerte der abhängigen Variable durch die Werte der unabhängigen Variablen vorhergesagt werden?", oder:
"Wie stark ist der Einfluss jeder unabhängigen Variable auf die abhängige Variable?"

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