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Erschienen in: Quality & Quantity 5/2015

01.09.2015

Maximum Likelihood Difference Scaling versus Ordinal Difference Scaling of emotion intensity: a comparison

verfasst von: Martin Junge, Rainer Reisenzein

Erschienen in: Quality & Quantity | Ausgabe 5/2015

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Abstract

We compare the utility of Maximum Likelihood Difference Scaling (MLDS) and Ordinal Difference Scaling (ODS) for the measurement of emotion intensity. MLDS and ODS are both nonmetric probabilistic scaling methods based on difference measurement; however, MLDS uses quadruple comparisons (comparison of pairs of stimulus pairs) as input data, whereas ODS uses graded pair comparison judgments, where participants indicate the size of the difference between two stimuli on an ordinal response scale. In two studies using different kinds of emotional stimuli (disgust-inducing pictures, and descriptions of situations eliciting relief), quadruple comparisons and graded pair comparisons of the stimuli were collected and submitted to MLDS and ODS respectively. The scaling solutions were compared in terms of the reliability of the estimated scale values and their correlations to direct ratings of emotion intensity. The findings of both studies suggest that ODS performs at least as well as MLDS on these criteria. In addition, in most cases, good to high agreement between the scale values estimated by the two methods was found. Hence, ODS may be used as an economical alternative to MLDS for the difference scaling of emotional stimuli.

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Fußnoten
1
MLDS can also be used to scale triad judgments, where participants compare two stimuli to a third and judge which of them is closer to the target on the judgment dimension (see Devinck and Knoblauch 2012; Knoblauch and Maloney 2008, 2012). Triad judgments can be conceptualized as a special case of QCs with overlapping stimulus pairs, i.e. (a, b) is compared to (a, c). They allow to reduce the number of necessary stimulus comparisons relative to QCs.
 
2
Although we only used a subset of the possible QCs for MLDS, we collected the complete set for the purpose of additional analyses (not reported in this article).
 
3
Thanks are due to Ioannis Kosmidis, who kindly made an updated version of bpolr available to us.
 
4
Details of the estimation procedures are available from the first author on request.
 
5
It might be objected that using the GPC-based AFM rank order of stimulus intensities for the estimation of the MLDS model inflates the agreement between the ODS and the MLDS solution, because the latter is constrained by the rank order of the stimuli implicit in the GPC judgments. However, the finding that the AFM-based rank order yielded the best MLDS fits speaks against this possibility and suggests, rather, that the GPC judgments contained more reliable information about the stimulus order than the QCs.
 
Literatur
Zurück zum Zitat Agresti, A.: Analysis of ordinal paired comparison data. J. Royal Stat. Soc. Series C 41, 287–297 (1992) Agresti, A.: Analysis of ordinal paired comparison data. J. Royal Stat. Soc. Series C 41, 287–297 (1992)
Zurück zum Zitat Agresti, A.: Analysis of ordinal categorical data. Wiley, Hoboken (2010)CrossRef Agresti, A.: Analysis of ordinal categorical data. Wiley, Hoboken (2010)CrossRef
Zurück zum Zitat Albert, A., Anderson, J.A.: On the existence of maximum likelihood estimates in logistic regression models. Biometrika 71, 1–10 (1984)CrossRef Albert, A., Anderson, J.A.: On the existence of maximum likelihood estimates in logistic regression models. Biometrika 71, 1–10 (1984)CrossRef
Zurück zum Zitat Anderson, N.H.: Functional measurement and psychophysical judgment. Psychol. Rev. 77, 153–170 (1970)CrossRef Anderson, N.H.: Functional measurement and psychophysical judgment. Psychol. Rev. 77, 153–170 (1970)CrossRef
Zurück zum Zitat Bechtel, G.G.: The analysis of variance and pairwise scaling. Psychometrika 32, 47–65 (1967)CrossRef Bechtel, G.G.: The analysis of variance and pairwise scaling. Psychometrika 32, 47–65 (1967)CrossRef
Zurück zum Zitat Böckenholt, U.: Thresholds and intransitivities in pairwise judgments: a multilevel analysis. J. Educ. Behav. Stat. 26, 269–282 (2001)CrossRef Böckenholt, U.: Thresholds and intransitivities in pairwise judgments: a multilevel analysis. J. Educ. Behav. Stat. 26, 269–282 (2001)CrossRef
Zurück zum Zitat Böckenholt, U.: Thurstonian-based analyses: past, present, and future utilities. Psychometrika 71, 615–629 (2003)CrossRef Böckenholt, U.: Thurstonian-based analyses: past, present, and future utilities. Psychometrika 71, 615–629 (2003)CrossRef
Zurück zum Zitat Boschman, M.C.: DifScal: a tool for analyzing difference ratings on an ordinal category scale. Behav. Res. Methods Instr. Comput. 33, 10–20 (2001)CrossRef Boschman, M.C.: DifScal: a tool for analyzing difference ratings on an ordinal category scale. Behav. Res. Methods Instr. Comput. 33, 10–20 (2001)CrossRef
Zurück zum Zitat Brusco, M., Stahl, S.: Branch-and-bound applications in combinatorial data analysis. Springer, New York (2005) Brusco, M., Stahl, S.: Branch-and-bound applications in combinatorial data analysis. Springer, New York (2005)
Zurück zum Zitat Burton, M.L.: Too many questions? the uses of incomplete cyclic designs for paired comparisons. Field Methods 15, 115–130 (2003)CrossRef Burton, M.L.: Too many questions? the uses of incomplete cyclic designs for paired comparisons. Field Methods 15, 115–130 (2003)CrossRef
Zurück zum Zitat Charrier, C., Maloney, L.T., Cherifi, H., Knoblauch, K.: Maximum likelihood difference scaling of image quality in compression-degraded images. J. Opt. Soc. America 24, 3418–3426 (2007)CrossRef Charrier, C., Maloney, L.T., Cherifi, H., Knoblauch, K.: Maximum likelihood difference scaling of image quality in compression-degraded images. J. Opt. Soc. America 24, 3418–3426 (2007)CrossRef
Zurück zum Zitat Cox, T.F., Cox, M.A.A.: Multidimensional scaling. Chapman & Hall, Boca Raton (2001) Cox, T.F., Cox, M.A.A.: Multidimensional scaling. Chapman & Hall, Boca Raton (2001)
Zurück zum Zitat Curtis, V., Biran, A.: Dirt, disgust and disease: is hygiene in our genes? Perspect. Biol. Med. 44, 17–31 (2001)CrossRef Curtis, V., Biran, A.: Dirt, disgust and disease: is hygiene in our genes? Perspect. Biol. Med. 44, 17–31 (2001)CrossRef
Zurück zum Zitat De Beuckelaer, A., Kampen, J.K., Van Trijp, H.C.: An empirical assessment of the cross-national measurement validity of graded paired comparisons. Qual. Quant. 47, 1063–1076 (2013)CrossRef De Beuckelaer, A., Kampen, J.K., Van Trijp, H.C.: An empirical assessment of the cross-national measurement validity of graded paired comparisons. Qual. Quant. 47, 1063–1076 (2013)CrossRef
Zurück zum Zitat Devinck, F., Knoblauch, K.: A common signal detection model accounts for both perception and discrimination of the watercolor effect. J. Vision 12, 1–14 (2012)CrossRef Devinck, F., Knoblauch, K.: A common signal detection model accounts for both perception and discrimination of the watercolor effect. J. Vision 12, 1–14 (2012)CrossRef
Zurück zum Zitat Firth, D.: Bias reduction of maximum likelihood estimates. Biometrika 80, 27–38 (1993)CrossRef Firth, D.: Bias reduction of maximum likelihood estimates. Biometrika 80, 27–38 (1993)CrossRef
Zurück zum Zitat Forster, K.I., Forster, J.C.: DMDX: a windows display program with millisecond accuracy. Behav. Res. Methods Instr. Comput. 35, 116–124 (2003)CrossRef Forster, K.I., Forster, J.C.: DMDX: a windows display program with millisecond accuracy. Behav. Res. Methods Instr. Comput. 35, 116–124 (2003)CrossRef
Zurück zum Zitat Greene, W.H., Hensher, D.A.: Modeling ordered choices: a primer. Cambridge University Press, Cambridge (2010)CrossRef Greene, W.H., Hensher, D.A.: Modeling ordered choices: a primer. Cambridge University Press, Cambridge (2010)CrossRef
Zurück zum Zitat Hahsler, M., Hornik, K., Buchta, C.: Getting things in order: an introduction to the R package seriation. J. Stat. Softw. 25, 1–34 (2008) Hahsler, M., Hornik, K., Buchta, C.: Getting things in order: an introduction to the R package seriation. J. Stat. Softw. 25, 1–34 (2008)
Zurück zum Zitat Hardin, J., Hilbe, J.M.: Generalized linear models and extensions. A Stata Press publication. Taylor & Francis, College Station (2007) Hardin, J., Hilbe, J.M.: Generalized linear models and extensions. A Stata Press publication. Taylor & Francis, College Station (2007)
Zurück zum Zitat Heinze, G., Schemper, M.: A solution to the problem of separation in logistic regression. Stat. Med. 21, 2409–2419 (2002)CrossRef Heinze, G., Schemper, M.: A solution to the problem of separation in logistic regression. Stat. Med. 21, 2409–2419 (2002)CrossRef
Zurück zum Zitat Hurvich, C.M., Tsai, C.L.: Bias of the corrected AIC criterion for underfitted regression and time series models. Biometrika 78, 499–509 (1991) Hurvich, C.M., Tsai, C.L.: Bias of the corrected AIC criterion for underfitted regression and time series models. Biometrika 78, 499–509 (1991)
Zurück zum Zitat Junge, M., Reisenzein, R.: Indirect scaling methods for testing quantitative emotion theories. Cognit. Emot. 27, 1247–1275 (2013)CrossRef Junge, M., Reisenzein, R.: Indirect scaling methods for testing quantitative emotion theories. Cognit. Emot. 27, 1247–1275 (2013)CrossRef
Zurück zum Zitat Kingdom, F.A.A., Prins, N.: Psychophysics: a practical introduction. Elsevier, London (2010) Kingdom, F.A.A., Prins, N.: Psychophysics: a practical introduction. Elsevier, London (2010)
Zurück zum Zitat Knoblauch, K., Maloney, L.T.: MLDS: maximum likelihood difference scaling in R. J. Stat. Softw. 25, 1–28 (2008) Knoblauch, K., Maloney, L.T.: MLDS: maximum likelihood difference scaling in R. J. Stat. Softw. 25, 1–28 (2008)
Zurück zum Zitat Knoblauch, K., Maloney, L.T.: Modeling psychophysical data in R. Springer, New York (2012)CrossRef Knoblauch, K., Maloney, L.T.: Modeling psychophysical data in R. Springer, New York (2012)CrossRef
Zurück zum Zitat Kosmidis, I.: Improved estimation in cumulative link models. J. Royal Stat. Soc. 76, 169–196 (2014)CrossRef Kosmidis, I.: Improved estimation in cumulative link models. J. Royal Stat. Soc. 76, 169–196 (2014)CrossRef
Zurück zum Zitat Kosmidis, I., Firth, D.: Bias reduction in exponential family nonlinear models. Biometrika 96, 793–804 (2009)CrossRef Kosmidis, I., Firth, D.: Bias reduction in exponential family nonlinear models. Biometrika 96, 793–804 (2009)CrossRef
Zurück zum Zitat Krantz, D., Luce, R., Suppes, P., Tversky, A.: Foundations of measurement, Vol. 1: additive and polynomial representations. Academic Press, New York (1971) Krantz, D., Luce, R., Suppes, P., Tversky, A.: Foundations of measurement, Vol. 1: additive and polynomial representations. Academic Press, New York (1971)
Zurück zum Zitat Kruskal, J.B.: Nonmetric multidimensional scaling: a numerical method. Psychometrika 29, 115–129 (1964)CrossRef Kruskal, J.B.: Nonmetric multidimensional scaling: a numerical method. Psychometrika 29, 115–129 (1964)CrossRef
Zurück zum Zitat Maloney, L.T., Yang, J.N.: Maximum likelihood difference scaling. J. Vision 3, 573–585 (2003)CrossRef Maloney, L.T., Yang, J.N.: Maximum likelihood difference scaling. J. Vision 3, 573–585 (2003)CrossRef
Zurück zum Zitat Mauss, I.B., Robinson, M.D.: Measures of emotion: a review. Cognit. Emot. 23, 209–237 (2009)CrossRef Mauss, I.B., Robinson, M.D.: Measures of emotion: a review. Cognit. Emot. 23, 209–237 (2009)CrossRef
Zurück zum Zitat McKelvey, R., Zavoina, W.: A statistical model for the analysis of ordinal level dependent variables. J. Math. Sociol. 4, 103–120 (1975)CrossRef McKelvey, R., Zavoina, W.: A statistical model for the analysis of ordinal level dependent variables. J. Math. Sociol. 4, 103–120 (1975)CrossRef
Zurück zum Zitat Menkovski, V., Exarchakos, G., Liotta, A.: The value of relative quality in video delivery. J. Mobile Multimed. 7, 151–162 (2011) Menkovski, V., Exarchakos, G., Liotta, A.: The value of relative quality in video delivery. J. Mobile Multimed. 7, 151–162 (2011)
Zurück zum Zitat O’Brien, R.: The relationship between ordinal measures and their underlying values: why all the disagreement? Qual. Quant. 19, 265–277 (1985) O’Brien, R.: The relationship between ordinal measures and their underlying values: why all the disagreement? Qual. Quant. 19, 265–277 (1985)
Zurück zum Zitat Pekrun, R., Bühner, M.: Self-report measures of academic emotions. In: Pekrun, R., Linnenbrink-Garcia, L. (eds.) International handbook of emotions in education, pp. 561–579. Taylor & Francis, New York (2014) Pekrun, R., Bühner, M.: Self-report measures of academic emotions. In: Pekrun, R., Linnenbrink-Garcia, L. (eds.) International handbook of emotions in education, pp. 561–579. Taylor & Francis, New York (2014)
Zurück zum Zitat Roberts, F.S.: Measurement theory: with applications to decisionmaking, utility, and the social sciences. Addison-Wesley, Reading (1979) Roberts, F.S.: Measurement theory: with applications to decisionmaking, utility, and the social sciences. Addison-Wesley, Reading (1979)
Zurück zum Zitat Robinson, M.D., Clore, G.L.: Episodic and semantic knowledge in emotional self-report: evidence for two judgment processes. J. Personal. Soc. Psychol. 83, 198–215 (2002)CrossRef Robinson, M.D., Clore, G.L.: Episodic and semantic knowledge in emotional self-report: evidence for two judgment processes. J. Personal. Soc. Psychol. 83, 198–215 (2002)CrossRef
Zurück zum Zitat Schneider, B.: Individual loudness functions determined from direct comparisons of sensory intervals. Percept. Psychophys. 28, 493–503 (1980)CrossRef Schneider, B.: Individual loudness functions determined from direct comparisons of sensory intervals. Percept. Psychophys. 28, 493–503 (1980)CrossRef
Zurück zum Zitat Schneider, B., Parker, S., Stein, D.: The measurement of loudness using direct comparisons of sensory intervals. J. Math. Psychol. 11, 259–273 (1974)CrossRef Schneider, B., Parker, S., Stein, D.: The measurement of loudness using direct comparisons of sensory intervals. J. Math. Psychol. 11, 259–273 (1974)CrossRef
Zurück zum Zitat Schulte-Mecklenbeck, M., Kühberger, A., Ranyard, R.: The role of process data in the development and testing of process models of judgment and decision making. Judgm. Dec. Making 6, 733–739 (2011) Schulte-Mecklenbeck, M., Kühberger, A., Ranyard, R.: The role of process data in the development and testing of process models of judgment and decision making. Judgm. Dec. Making 6, 733–739 (2011)
Zurück zum Zitat Stevens, S.S.: Psychophysics. Wiley, New York (1975) Stevens, S.S.: Psychophysics. Wiley, New York (1975)
Zurück zum Zitat Sugiura, N.: Further analysis of the data by Akaike’s information criterion and the finite corrections. Commun. Stat. 7, 13–26 (1978)CrossRef Sugiura, N.: Further analysis of the data by Akaike’s information criterion and the finite corrections. Commun. Stat. 7, 13–26 (1978)CrossRef
Zurück zum Zitat Thurstone, L.L.: A law of comparative judgment. Psychol. Rev. 34, 273–286 (1927)CrossRef Thurstone, L.L.: A law of comparative judgment. Psychol. Rev. 34, 273–286 (1927)CrossRef
Zurück zum Zitat Torgerson, W.S.: Theory and methods of scaling. Wiley, New York (1958) Torgerson, W.S.: Theory and methods of scaling. Wiley, New York (1958)
Metadaten
Titel
Maximum Likelihood Difference Scaling versus Ordinal Difference Scaling of emotion intensity: a comparison
verfasst von
Martin Junge
Rainer Reisenzein
Publikationsdatum
01.09.2015
Verlag
Springer Netherlands
Erschienen in
Quality & Quantity / Ausgabe 5/2015
Print ISSN: 0033-5177
Elektronische ISSN: 1573-7845
DOI
https://doi.org/10.1007/s11135-014-0100-1

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