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A paired comparison approach for the analysis of sets of Likert-scale responses.

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A paired comparison approach for the analysis of sets of Likert-scale responses. / Dittrich, Regina; Francis, Brian; Hatzinger, Reinhold; Katzenbeisser, Walter.

In: Statistical Modelling, Vol. 7, No. 1, 04.2007, p. 3 - 28.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Dittrich, R, Francis, B, Hatzinger, R & Katzenbeisser, W 2007, 'A paired comparison approach for the analysis of sets of Likert-scale responses.', Statistical Modelling, vol. 7, no. 1, pp. 3 - 28. https://doi.org/10.1177/1471082X0600700102

APA

Dittrich, R., Francis, B., Hatzinger, R., & Katzenbeisser, W. (2007). A paired comparison approach for the analysis of sets of Likert-scale responses. Statistical Modelling, 7(1), 3 - 28. https://doi.org/10.1177/1471082X0600700102

Vancouver

Author

Dittrich, Regina ; Francis, Brian ; Hatzinger, Reinhold ; Katzenbeisser, Walter. / A paired comparison approach for the analysis of sets of Likert-scale responses. In: Statistical Modelling. 2007 ; Vol. 7, No. 1. pp. 3 - 28.

Bibtex

@article{7a0e57e495b14d55bd55ad5d1a1d32a8,
title = "A paired comparison approach for the analysis of sets of Likert-scale responses.",
abstract = "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.",
keywords = "paired comparisons • Bradley–Terry model • response patterns • log-linear model • generalized linear model • GLIM, R • Likert scale",
author = "Regina Dittrich and Brian Francis and Reinhold Hatzinger and Walter Katzenbeisser",
year = "2007",
month = apr,
doi = "10.1177/1471082X0600700102",
language = "English",
volume = "7",
pages = "3 -- 28",
journal = "Statistical Modelling",
issn = "1471-082X",
publisher = "SAGE Publications Ltd",
number = "1",

}

RIS

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 -