A Robust Procedure for Testing Equality of Covariance Matrices and the Assessment of Comparability of Cross-national Surveys Cover Image

Odporne testowanie równości macierzy kowariancji w kontekście porównywalności międzynarodowych badań
A Robust Procedure for Testing Equality of Covariance Matrices and the Assessment of Comparability of Cross-national Surveys

Author(s): Kamil Fijorek
Subject(s): Economy
Published by: Wydawnictwo Uniwersytetu Ekonomicznego w Krakowie
Keywords: testing equality of covariance matrices; robust statistics

Summary/Abstract: The article proposes a robust procedure for testing equality of covariance matrices, which may be viewed as a supplement to the survey comparability testing framework introduced by Jöreskog in 1971. The M test, though overly sensitive to departures from multivariate normality and outliers, was used to test his hypothesis. The simulation study showed that the proposed method approximately controls the type I error rate under departures from normality and in the presence of outliers. The proposed method was also used to test the comparability of cross-national Polish-American survey results.

  • Issue Year: 876/2011
  • Issue No: 08
  • Page Range: 43-52
  • Page Count: 10
  • Language: Polish