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Constrained Dual Scaling for Detecting Response Styles in Categorical Data.

Schoonees PC, van de Velden M, Groenen PJ - Psychometrika (2015)

Bottom Line: Response styles occur when respondents use rating scales differently for reasons not related to the questions, often biasing results.A spline-based constrained version of DS is devised which can detect the presence of four prominent types of response styles, and is extended to allow for multiple response styles.An alternating nonnegative least squares algorithm is devised for estimating the parameters.

View Article: PubMed Central - PubMed

Affiliation: Econometric Institute, Erasmus University Rotterdam, Rotterdam, The Netherlands. schoonees@gmail.com.

ABSTRACT
Dual scaling (DS) is a multivariate exploratory method equivalent to correspondence analysis when analysing contingency tables. However, for the analysis of rating data, different proposals appear in the DS and correspondence analysis literature. It is shown here that a peculiarity of the DS method can be exploited to detect differences in response styles. Response styles occur when respondents use rating scales differently for reasons not related to the questions, often biasing results. A spline-based constrained version of DS is devised which can detect the presence of four prominent types of response styles, and is extended to allow for multiple response styles. An alternating nonnegative least squares algorithm is devised for estimating the parameters. The new method is appraised both by simulation studies and an empirical application.

Show MeSH
Classifying response styles graphically using the curvature properties of monotone quadratic splines.
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Related In: Results  -  Collection


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Fig3: Classifying response styles graphically using the curvature properties of monotone quadratic splines.

Mentions: It is possible to rewrite Table 1 wholly in terms of the curvature parameters, but more importantly using the curvature parameters it is possible to visualize the curvature of an estimated response style in a single plot. Figure 3 illustrates the situation by plotting against , as well as incorporating the response style classification regions derived from Table 1. When both curvature parameters equal two, no response style is present. Due to the fact that both curvature parameters has the range , a more symmetric plot is arrived at by using the base-2 logarithmic transform and centring—this is illustrated in Section 5.Fig. 3


Constrained Dual Scaling for Detecting Response Styles in Categorical Data.

Schoonees PC, van de Velden M, Groenen PJ - Psychometrika (2015)

Classifying response styles graphically using the curvature properties of monotone quadratic splines.
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC4644217&req=5

Fig3: Classifying response styles graphically using the curvature properties of monotone quadratic splines.
Mentions: It is possible to rewrite Table 1 wholly in terms of the curvature parameters, but more importantly using the curvature parameters it is possible to visualize the curvature of an estimated response style in a single plot. Figure 3 illustrates the situation by plotting against , as well as incorporating the response style classification regions derived from Table 1. When both curvature parameters equal two, no response style is present. Due to the fact that both curvature parameters has the range , a more symmetric plot is arrived at by using the base-2 logarithmic transform and centring—this is illustrated in Section 5.Fig. 3

Bottom Line: Response styles occur when respondents use rating scales differently for reasons not related to the questions, often biasing results.A spline-based constrained version of DS is devised which can detect the presence of four prominent types of response styles, and is extended to allow for multiple response styles.An alternating nonnegative least squares algorithm is devised for estimating the parameters.

View Article: PubMed Central - PubMed

Affiliation: Econometric Institute, Erasmus University Rotterdam, Rotterdam, The Netherlands. schoonees@gmail.com.

ABSTRACT
Dual scaling (DS) is a multivariate exploratory method equivalent to correspondence analysis when analysing contingency tables. However, for the analysis of rating data, different proposals appear in the DS and correspondence analysis literature. It is shown here that a peculiarity of the DS method can be exploited to detect differences in response styles. Response styles occur when respondents use rating scales differently for reasons not related to the questions, often biasing results. A spline-based constrained version of DS is devised which can detect the presence of four prominent types of response styles, and is extended to allow for multiple response styles. An alternating nonnegative least squares algorithm is devised for estimating the parameters. The new method is appraised both by simulation studies and an empirical application.

Show MeSH