Arbeitspapier

Robust estimation of Cronbach's alpha

Cronbach’s alpha is a popular method to measure reliability, e.g. in quantifying the reliability of a score to summarize the information of several items in questionnaires. The alpha coefficient is known to be non-robust. We study the behavior of this coefficient in different settings to identify situations, which can easily occur in practice, but under which the Cronbach’s alpha coefficient is extremely sensitive to violations of the classical model assumptions. Furthermore, we construct a robust version of Cronbach’s alpha which is insensitive to a small proportion of data that belong to a different source. The idea is that the robust Cronbach’s alpha reflects the reliability of the bulk of the data. For example, it should not be possible that some small amount of outliers makes a score look reliable if it is not.

Language
Englisch

Bibliographic citation
Series: Technical Report ; No. 2002,42

Subject
Cronbach’s alpha
MCD
M-estimator
Robustness
S-estimator

Event
Geistige Schöpfung
(who)
Christmann, Andreas
Aelst, Stefan van
Event
Veröffentlichung
(who)
Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen
(where)
Dortmund
(when)
2002

Handle
Last update
10.03.2025, 11:41 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Christmann, Andreas
  • Aelst, Stefan van
  • Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen

Time of origin

  • 2002

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