Abstract
Descriptive sensory tests are often performed to determine the effects of changes in raw material, processing, and packaging on the sensory qualities of products. It is also frequently desirable to relate the hedonic results of a study to the sensory and/or instrumental results of the same study. In all of these cases, multiple attributes on a single set of samples were evaluated and must now be related. To do this, one must use a group of analysis tools known as multivariate statistics. During the last 20 years, the widespread access to computers and the increasing sophistication in statistical packages have expanded the use and utility of multivariate statistical analyses. However, this “easy access” has tempted novices to use them with often surprising (and suspect) results. Before using any of these techniques, the user must be sure that the method is used appropriately and correctly. Many multivariate techniques require additional statistical assumptions beyond those of the simple univariate tests. This leads to additional liabilities and potential pitfalls when using multivariate methods.
The researcher will find that there are certain costs associated with benefits of using multivariate procedures. Benefits from increased flexibility in research design, for instance, are sometimes negated by increased ambiguity in interpretation of results.—Tabachnick and Fidell, 1983, p. 8.
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References
Afifi, A.A., and V. Clark. 1983. Computer Aided Multivariate Analysis. Lifetime Learning, Belmont, CA, pp. 309–329.
Anderson, R.E., Tatham, R.L., and Hair, J.F. 1995. Multivariate Data Analysis: With Readings. Prentice Hall, Englewood Cliffs, NJ.
Arnold, G., and Williams, A.A. 1986. The use of generalized Procrustes technique in sensory analysis. In J.R. Piggott, ed. Statistical Procedures in Food Research. Elsevier Applied Science, London, pp. 233–254.
Beilken, S.L., Eadie, L.M., Griffiths, I., Jones, P.N., and Harris, P.V. 1991. Assessment of the sensory characteristics of meat patties. Journal of Food Science, 56, 1470–1475.
Callier, P., and Schlich, P. 1995. Preference mapping in progress. Paper #39. Presented at Second Pangborn Sensory Science Symposium. Davis, CA., July 30-Aug. 3.
Carroll, P. 1972. Individual differences and multidimensional scaling. In R.N. Shepard, A.K. Romney, and S.B. Nerlove, eds. Multidimensional Scaling: Theory and Applications in the Behavioral Science, Vol. 1. Seminar, New York.
Catell, R.B. 1966. The scree test for the number of factors. Multivariate Behavioral Research, 1, 245–276.
Catell, R.B. and Vogelmann, S. 1977. A comprehensive trial of the scree and KG criteria for determining the number of factors. Multivariate Behavioral Research, 12, 289–325.
Chatfield, C., and Collins, A.J. 1980. Introduction to Multivariate Analysis. Chapman und Hall, London.
Coxon, A.P.M. 1982. Three-way and further extensions of the basic model. In The Users Guide to Multidimensional Scaling. Heinemann Educational Books, London.
Dijksterhuis, G., and Punter, P. 1990. Interpreting generalized Procrustes analysis “analysis of variance” tables. Food Quality and Preference, 2, 255–265.
Dijksterhuis, G. 1996. Procrustes analysis in sensory research. In Naes, T. and Risvik, E., eds. Multivariate Analysis of Sensory Data. Elsevier Applied Science, London., pp. 185–219.
Gilbert, J., and H. Heymann. 1995. Comparison of four sensory methodologies as alternatives to descriptive analysis for the evaluation of apple essence aroma. The New Zealand Food Technologist, 24, 28–32.
Gower, J.C. 1975. Generalized Procrustes analysis. Psychometrika, 40, 33–51.
Greenhoff, K., and MacFie, H.J.H. 1994. Preference mapping in practice. In H.J.H. MacFie and D.M.H. Thomson, eds. Measurement of Food Preferences. Blackie Academic and Professional, New York, pp. 137–166.
Hatcher, L., and Stepanski, E.J. 1994. A Step-By-Step Approach to Using the SAS System for Univariate and Multivariate Statistics. SAS Institute, Cary, NC.
Heymann, H. 1994a. A comparison of free choice profiling and multidimensional scaling of vanilla samples. Journal of Sensory Studies, 9, 445–453.
Heymann, H. 1994b. A comparison of descriptive analysis of vanilla by two independently trained panels. Journal of Sensory Studies, 9, 21–32.
Heymann, H. and Noble, A.C., 1989. Comparison of canonical variate and principal component analyses. Journal of Food Science, 54, 1355–1358.
Johnson, R.A., and Wichern, D.W. 1992. Applied Multivariate Statistical Analysis, 3d ed. Prentice-Hall, Englewood Cliffs, NJ.
Jolliffe, I.T. 1986. Principal Component Analysis. Springer, New York.
Kaiser, H.F. 1960. The application of electronic computers in factor analysis. Education and Psychological Measurement, 20, 141–151.
Kravitz, D. 1975. Who’s Who in Greek and Roman Mythology. Clarkson N. Potter, New York.
Krzanowski, W.J. Principles of Multivariate Analysis: a User’s Perspective. Clarendon, Oxford, UK, pp. 53–85.
Kuhfeld, W.F. 1993. Graphical methods for marketing research. In Marketing Research Methods in the SAS System: A Collection of Papers and Handouts. SAS Institute, Cary, NC.
Langron, S.P. 1983. The application of Procrustes statistics to sensory profiling. In A.A. Williams and R.K. Atkin, eds. Sensory Quality in Foods and Beverages: Definition, Measurement and Control. Horwood, Chichester, UK, pp. 89–95.
MacFie, H.J.H., and Thomson, D.M.H. 1988. Preference mapping and multidimen-sional scaling. In J.R. Piggott, ed. Sensory Analysis of Foods. Elsevier Applied Science, New York, pp. 381–409.
McEwan, J.A., and Thomson, D.M.H. 1988. An investigation of the factors influencing consumer acceptance of chocolate confectionery using the repertory grid method. In D.M.H. Thomson, ed. Food Acceptability. Elsevier Applied Science, New York.
McEwan, J.A. 1996. Preference mapping for product optimization. In T. Naes and E. Risvik, eds. Multivariate Analysis of Sensory Data. Elsevier Applied Science, London, pp. 71–102.
McEwan, J.A. and Hallett, E.M. 1990. A guide to the use and interpretation of generalised Procrustes analysis. Technical Manual No. 3. The Campden Food and Drink Research Association (CFDRA), Chipping Campden, UK.
Nute, G.R., MacFie, H.J.H., and Greenhoff, K. 1988. Practical application of preference mapping. In D.M.H. Thomson, ed. Food Acceptability. Elsevier Applied Science, New York.
Oreskovich, D.C., Klein, B.P., and Sutherland, J.W. 1991. Procrustes analysis and its application to free-choice and other sensory profiling. In H.T. Lawless and B.P. Klein, eds. Sensory Science: Theory and Application in Foods. Dekker, New York, pp. 353–393.
Piggott, J.R., and Sharman, K. 1986. Methods to aid interpretation of multidimensional data. In J.R. Piggott, ed. Statistical Procedures in Food Research. Elsevier Applied Science, New York.
Popper, R.D., and Heymann, H. 1996. Multidimensional scaling of sensory data. In T. Naes and E. Risvik, eds. Multivariate Analysis of Sensory Data. Elsevier Applied Science, London, pp. 159–184.
Popper, R.D. and Rossi, F. 1997. Three multivariate approaches to relating consumer to descriptive data. In A.M. Munoz, ed. Relating Consumer, Descriptive and Laboratory Data to Better Understand Consumer Responses. ASTM Publication Code Number 28–030097–36. ASTM, West Conshohocken, PA, pp. 39 – 61.
Schiffman, S.S., and Beeker, T.G. 1986. Multidimensional scaling and its interpretation. In J.R. Piggott, ed. Statistical Procedures in Food Research. Elsevier Applied Science, New York.
Schiffman, S.S., Reynolds, M.L., and Young, F.W. 1981. Interpreting stimulus spaces. In Introduction to Multidimensional Scaling: Theory, Methods and Applications. Academic, New York.
Schlich, P. 1989. A SAS/IML program for generalized Procrustes analysis. SEUGI `89. Proceedings of the SAS European Users Group International Conference, Cologne, Germany, pp. 529–537.
Schlich, P. 1995. Preference mapping: relating consumer preferences to sensory or instrumental measurements. In P. Etievant and P. Schreier, eds. Bioflavour: Analysis/Precursor Studies/Biotechnology. INRA Editions, Versailles, France.
Shocker, A.D., and Srinivasan, V. 1979. Multi-attribute approaches for product concept evaluation and generation: a critical review. Journal of Marketing Research, 16, 159–180.
Snedecor, G.W., and Cochran, W.G. 1989. Statistical Methods, 8th ed. Iowa State University Press, Ames, IA.
Stevens, J. 1986. Applied Multivariate Statistics for the Social Sciences. Erlbaum, Hillsdale, NY.
Tabachnick, B.G., and Fidel!, L.S. 1983. Using Multivariate Statistics. Harper und Row, New York.
Tunaley, A., Thomson, D.M.H., and McEwan, J.A. 1988. An investigation of the relationship between preference and the sensory characteristics of nine sweeteners. In D.M.H. Thomson, ed. Food Acceptability. Elsevier Applied Science, New York.
Urban, G.L., Hauser, J.R., and Dholakia, N. 1987. Mapping consumers’ product preferences. Essentials of New Product Management. Prentice-Hall, Englewood Cliffs, NJ.
Williams, A.A., and Arnold, G.M. 1985. A comparison of the aromas of six coffees characterized by conventional profiling, free-choice profiling and similarity scaling. Journal of the Science of Food and Agriculture, 36, 204–214.
Williams, A.A. and Langron, S.P. 1984. The use of free-choice profiling for the evaluation of commercial ports. Journal of the Science of Food and Agriculture, 35, 558–568.
Zwick, W.R., and Velicer, W.F. 1982. Factors influencing four roles for determining the number of components to retain. Multivariate Behavioral Research, 17, 253–269.
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Lawless, H.T., Heymann, H. (1999). Data Relationships and Multivariate Applications. In: Sensory Evaluation of Food. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7843-7_17
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DOI: https://doi.org/10.1007/978-1-4615-7843-7_17
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