Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - A paired comparison approach for the analysis of sets of Likert-scale responses.
AU - Dittrich, Regina
AU - Francis, Brian
AU - Hatzinger, Reinhold
AU - Katzenbeisser, Walter
PY - 2007/4
Y1 - 2007/4
N2 - This paper provides an alternative methodology for the analysis of a set of Likert responses measured on a common attitudinal scale when the primary focus of interest is on the relative importance of items in the set. The method makes fewer assumptions about the distribution of the responses than the more usual approaches such as comparisons of means, MANOVA or ordinal data methods. The approach transforms the Likert responses into paired comparison responses between the items. The complete multivariate pattern of responses thus produced can be analyzed by an appropriately reformulated paired comparison model. The dependency structure between item responses can also be modelled flexibly. The advantage of this approach is that sets of Likert responses can be analyzed simultaneously within the Generalized Linear Model framework, providing standard likelihood-based inference for model selection. This method is applied to a recent international survey on the importance of environmental problems.
AB - This paper provides an alternative methodology for the analysis of a set of Likert responses measured on a common attitudinal scale when the primary focus of interest is on the relative importance of items in the set. The method makes fewer assumptions about the distribution of the responses than the more usual approaches such as comparisons of means, MANOVA or ordinal data methods. The approach transforms the Likert responses into paired comparison responses between the items. The complete multivariate pattern of responses thus produced can be analyzed by an appropriately reformulated paired comparison model. The dependency structure between item responses can also be modelled flexibly. The advantage of this approach is that sets of Likert responses can be analyzed simultaneously within the Generalized Linear Model framework, providing standard likelihood-based inference for model selection. This method is applied to a recent international survey on the importance of environmental problems.
KW - paired comparisons • Bradley–Terry model • response patterns • log-linear model • generalized linear model • GLIM
KW - R • Likert scale
U2 - 10.1177/1471082X0600700102
DO - 10.1177/1471082X0600700102
M3 - Journal article
VL - 7
SP - 3
EP - 28
JO - Statistical Modelling
JF - Statistical Modelling
SN - 1471-082X
IS - 1
ER -