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Analysis of three-way non-symmetrical association of food concepts in cross-cultural marketing

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Abstract

This paper analyses the non-symmetrical association among some key-words in a food context, given the European countries and gender of participants to a survey. The aim is to understand the meaning of the food concepts traditional and innovation associated to selected key-words in cross-cultural marketing. For studying the association among three categorical variables, usually, one can refer to Pearson’s three-way statistic, but in case of non-symmetrical association we prefer to consider Marcotorchino’s three-way predictability index and its related \(C_M\)-statistic. Doing so, we present a generalisation of three-way non-symmetrical correspondence analysis to portray the predictability of food concepts given the knowledge of participants’country and gender.

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References

  • Agresti, A.: An Introduction to Categorical Data Analysis. Wiley, New York (1996)

    Google Scholar 

  • Beh, E.J., Lombardo, R.: Correspondence Analysis, Theory Practices and New Strategies. Wiley, Chichester (2014)

    Google Scholar 

  • Beh, E.J., Simonetti, B., D’Ambra, L.: Partitioning a non-symmetric measure of association for three-way contingency tables. J. Multivar. Behav. Anal. 98(7), 1391–1411 (2007)

    Article  Google Scholar 

  • Carlier, A., Kroonenberg, P.M.: Biplots and decompositions in two-way and three-way correspondence analysis. Psychometrika 61(2), 355–373 (1996)

    Article  Google Scholar 

  • Ciavolino, E., D’Ambra, A., Venuleo, C., Vernai, M.: Non-symmetrical correspondence analysis to evaluate how age influences the addiction discourses. Stat. Appl. 15(1), 3–18 (2017a)

    Google Scholar 

  • Ciavolino, E., Redd, R., Evrinomy, A., Falcone, M., Fini, V., Kadianaki, I., Kullasepp, K., Mannarini, T., Matsopoulos, A., Mossi, P., Rochira, A., Santarpia, A., Sammut, G., Valsiner, J., Veltri, G., Salvatore, S.: Views of context. An instrument for the analysis of the cultural milieu. A first validation study. Electron. J. Appl. Stat. Anal. 10(2), 599–628 (2017b)

    Google Scholar 

  • Choulakian, V.: Exploratory analysis of contingency tables by loglinear formulations and generalizations of correspondence analysis. Psychometrika 53, 235–250 (1998)

    Article  Google Scholar 

  • D’Ambra, A., Crisci, A.: The confidence ellipses in decomposition multiple non symmetric correspondence analysis. Commun. Stat. Theory Methods 43, 1209–1221 (2014)

    Article  Google Scholar 

  • D’Ambra, L., Lauro, N.C.: Non-symmetrical correspondence analysis for three-way contingency table. In: Coppi, R., Bolasco, S. (eds.) Multiway Data Analysis, pp. 301–315. Elsevier, Amsterdam (1989)

    Google Scholar 

  • D’Ambra, A., Crisci, A., Sarnacchiaro, P.: A generalized analysis of the dependence structure by means of ANOVA. J. Appl. Stat. 42, 2192–2202 (2015)

    Article  Google Scholar 

  • Goodman, L., Kruskal, W.: Measures of association for cross-classifications. J. Am. Stat. Assoc. 49, 732–764 (1954)

    Google Scholar 

  • Greenacre, M.J.: Theory and Applications of Correspondence Analysis. Academic Press, London (1984)

    Google Scholar 

  • Guerrero, L., Guardia, M.D., Xicola, J., Verbeke, W., Vanhonacker, F., Zakowska-Biemans, S., et al.: Consumer-driven definition of traditional food products and innovation in traditional foods. A qualitative cross-cultural study. Appetite 52(2), 345–354 (2009)

    Article  Google Scholar 

  • Guerrero, L., Claret, A., Verbeke, W., Enderli, G., Zakowska-Biemans, S., Vanhonacker, F., et al.: Perception of traditional food products in six European countries using free word association. Food Qual. Prefer. 21(2), 225–233 (2010)

    Article  Google Scholar 

  • Guerrero, L., Claret, A., Verbeke, W., Vanhonacker, F., Enderli, G., Sulmont-Rossé, C., Hersleth, M., Guárdia, M.D.: Cross-cultural conceptualization of the words traditional and innovation in a food context by means of sorting task and hedonic evaluation. Food Qual. Prefer. 25, 69–78 (2012)

    Article  Google Scholar 

  • Henson, S.: Demand-side constraints on the introduction of new food technologies: the case of food irradiation. Food Polit. 20(2), 111–127 (1995)

    Article  Google Scholar 

  • Kamalja, K., Khangar, N.: Multiple correspondence analysis and its applications. Electron. J. Appl. Stat. Anal. 10(2), 432–462 (2017)

    Google Scholar 

  • Kiers, H.A.L.: Three-mode orthomax rotation. Psychometrika 62, 579–598 (1997)

    Article  Google Scholar 

  • Kiers, H.A.L.: Three-way SIMPLIMAX for oblique rotation of the three-mode factor analysis core to simple structure. Comput. Stat. Data Anal. 28, 207–324 (1998)

    Article  Google Scholar 

  • Kiers, H.A.L., Ten Berge, J.M.F., Rocci, R.: Uniqueness of three-mode factor models with sparse cores: the \(3\times 3\times 3\) case. Psychometrika 62, 349–374 (1997)

    Article  Google Scholar 

  • Kroonenberg, P.M.: Three Mode Principal Component Analysis. DSWO Press, Leiden (1983)

    Google Scholar 

  • Kroonenberg, P.M.: Applied Multiway Data Analysis. Wiley, New York (2008)

    Book  Google Scholar 

  • Kroonenberg, P.M., Lombardo, R.: Nonsymmetric correspondence analysis: a tool for analysing contingency tables with a dependence structure. Multivar. Behav. Res. J. 34, 367–397 (1999)

    Article  Google Scholar 

  • Lancaster, H.O.: Complex contingency tables treated by the partition of \(\chi ^2\). J. R. Stat. Soc. B 13, 242–249 (1951)

    Google Scholar 

  • Lauro, N.C., D’Ambra, L.: L’Analyse non symmé trique des correspondances. In: Diday, E. (ed.) Data Analysis and Informatics III, pp. 433–446. Elsevier, Amsterdam (1984)

    Google Scholar 

  • Light, R.J., Margolin, B.H.: An analysis of variance for categorical data. J. Am. Stat. Assoc. 66, 534–544 (1971)

    Article  Google Scholar 

  • Lombardo, R.: Three-way association measure decompositions: the Delta index. J. Stat. Plan. Inference 141, 1789–1799 (2011)

    Article  Google Scholar 

  • Lombardo, R., Camminatiello, I.: CATANOVA for two-way cross classified categorical data. Stat. J. Theor. Appl. Stat. 44(1), 57–71 (2010)

    Google Scholar 

  • Lombardo, R., Ringrose, T.: Bootstrap confidence regions in non-symmetrical correspondence analysis. Electron. J. Appl. Stat. Anal. 5(3), 413–417 (2012)

    Google Scholar 

  • Lombardo, R., Carlier, A., D’Ambra, L.: Nonsymmetric correspondence analysis for three-way contingency tables. Methodologica 4, 59–80 (1996)

    Google Scholar 

  • Macfie, H.J., Bratchell, N., Greenhoff, H., Vallis, L.V.: Designs to balance the effect of order of presentation and first-order carry-over effects in Hall test. J. Sens. Stud. 4, 129–149 (1989)

    Article  Google Scholar 

  • Manca, F., Massari, A., Girone, F.: The model of multiple correspondence analysis for customer segmentation in large retail groups. Electron. J. Appl. Stat. Anal. 9(4), 637–654 (2016)

    Google Scholar 

  • Marcotorchino, F.: Utilisation des Comparaisons par Paires en Statistique des Contingencies: Partie I. Report F069, Etude du Centre Scientifique, IBM, France (1984a)

  • Marcotorchino, F.: Utilisation des Comparaisons par Paires en Statistique des Contingencies: Partie II. Report F071, Etude du Centre Scientifique, IBM, France (1984b)

  • Marcotorchino, F.: Utilisation des Comparaisons par Paires en Statistique des Contingencies: Partie III.Report F081, Etude du Centre Scientifique, IBM, France (1985)

  • Pedret, R., Sanier, L., Garcia, I., Morrel, A.: Investigació de Mercats. Fundació per a la Universitat Oberta de Catalunya. Editorial UOC, Barcelona (2003)

  • Rocci, R.: Three-mode factor analysis with binary core and orthonormality constraints. J. Ital. Stat. Soc. 1, 413–422 (1992)

    Article  Google Scholar 

  • Salvatore, S., Fini, V., Mannarini, T., Veltri, G.A., Avdi, E., Battaglia, F., et al.: Symbolic universes between present and future of Europe. First results of the map of European societies’ cultural milieu. PLoS ONE 13(1), e0189885 (2018)

    Article  Google Scholar 

  • Timmerman, M., Kiers, H.A.L.: Three-mode principal component analysis: choosing the numbers of components and sensitivity to local optima. Br. J. Math. Stat. Psychol. 53, 1–16 (2000)

    Article  Google Scholar 

  • Tucker, L.R.: Some mathematical notes on three mode factor analysis. Psychometrika 31, 279–311 (1966)

    Article  Google Scholar 

  • Vanhonacker, F., Kohne, B., Gellynck, X., Guerrero, L., Hersleth, M., Verbeke, W.: Innovations in traditional foods: impact on perceived traditional character and consumer acceptance. Food Res. Int. 54(2), 1828–1835 (2013)

    Article  Google Scholar 

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Acknowledgements

Authors would like to thank Dr. Margrethe Hersleth (Nofima, Norway) for the permission to use and publish the data reported in the present document. This study was supported by the TRUEFOOD - Traditional United Europe Food - an Integrated Project financed by the European Commission under the 6th Framework Programme (Contract no. FOOD-CT-2006-016264). The information in this document reflects only the authors' views and the European Commission is not liable for any use that may be made of the information contained therein.

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Correspondence to Rosaria Lombardo.

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Lombardo, R., Beh, E.J. & Guerrero, L. Analysis of three-way non-symmetrical association of food concepts in cross-cultural marketing. Qual Quant 53, 2323–2337 (2019). https://doi.org/10.1007/s11135-018-0733-6

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