Definition
SSA – similarity structure analysis (previously called smallest space analysis) – is a geometric technique for aiding comprehension of the spatial structure of correlation matrices or similarity coefficients matrices among variables. In this technique, the data are treated intrinsically in terms of inequalities, needing no explicit prespecified model.
Description
Similarity structure analysis (SSA) was introduced and developed by Louis Guttman (1968) with the aim of overcoming the limitations of factor analysis regarding the possibility of the testing of hypotheses (Guttman 1954, 1958). Mathematically from the point of view of spatial analysis, Guttman regarded factor analysis to be “but a special case of Smallest Space Analysis” (Guttman 1967, p. 78; 1982, p. 491). Details regarding the differences between SSA and factor analysis are to be found inter alia in Guttman (1967, 1982), Schlesinger and Guttman (1969), and Cohen (2003).
SSAis essentially a geometric technique....
References
Amar, R. (2001). Mathematical formulation of regionality in SSA and POSAC/MPOSAC. In D. Elizur (Ed.), Facet theory: Integrating theory construction with data analysis, Prague (pp. 63–74). Praha: Matfyzpress.
Amar, R., & Toledano, S. (2001). Hudap manual. Jerusalem: The Hebrew University.
Bilsky, W. (2003). Fear of crime, personal safety and wellbeing: A common frame of reference. In M. Vanderhallen, G. Vervaeke, P. J. Van Kopen, & J. Goethals (Eds.), Much to do about crime (pp. 37–55). Brussels: Politeia.
Borg, I., & Lingoes, J. (1987). Multidimensional similarity structure analysis. New York: Springer Verlag.
Campbell, A., Converse, P. E., & Rodgers, W. L. (1976). The quality of American life: Perceptions, evaluations and satisfactions. New York: Russell Sage.
Cohen, E. H. (2000). A facet theory approach to examining overall and life satisfaction relationships. Social Indicators Research, 51, 223–237.
Cohen, A. (2003). The identification of underlying dimensionality in social sciences: Differences between factor analysis and smallest space analysis. In S. Levy & D. Elizur (Eds.), Facet theory: Towards cumulative social science (pp. 61–71). Ljubljana: University of Ljubljana, Faculty of Arts, Center for Educational Development.
Guttman, L. (1954). A new approach to factor analysis: The Radex. In P. F. Lazarsfeld (Ed.), Mathematical thinking in the social sciences (pp. 258–348). Glencoe, IL: The Free Press.
Guttman, L. (1958). What lies ahead for factor analysis? Educational and Psychological Measurement, 18, 497–515.
Guttman, L. (1967). The development of nonmetric space analysis: A letter to Professor John Ross. Multivariate Behavioral Research, 2, 71–82.
Guttman, L. (1968). A general nonmetric technique for finding the smallest coordinate space for a configuration of points. Psychometrika, 33, 469–506.
Guttman, L. (1977). What is not what in statistics. The Statistician, 26, 81–107.
Guttman, L. (1982). Facet theory, smallest space analysis and factor analysis. Perceptual and Motor Skills, 54, 491–493.
Guttman, L., & Levy, S. (1982). On the definition and varieties of attitude and wellbeing. Social Indicators Research, 10, 159–174.
Guttman, L., & Levy, S. (1987). Similarity structure analysis (SSAR) of European elections. In J. Janssen, F. Marcotorchino, & J. M. Proth (Eds.), Data analysis: The ins and outs of solving real problems (pp. 193–204). New York: Plenum Press.
Levy, S. (1976). The use of the map** sentence for coordinating theory and research: A cross-cultural example. Quality and Quantity, 10, 117–125.
Levy, S. (1990). The map** sentence in cumulative theory construction: Well-being as an example. In J. J. Hox & J. De Jong-Gierveld (Eds.), Operationalization and research strategy (pp. 155–177). Amsterdam: Swets and Zeitlinger.
Levy, S., & Amar, R. (2002). Processing square-asymmetric matrices via the intrinsic data analysis technique WSSA: A new outlook on sociometric issues. [CD-Rom]. In J. Blasius, E. de Leeuw, P. Schmidt, & E. Hox (Eds.), Social science methodology in the new millennium. Opladen, FRG: Leske and Budrich.
Levy, S., & Sabbagh, C. (2008). The wellbeing of the self’s personality: A structural analysis. Social Indicators Research, 89, 473–485.
Lingoes, J. C. (1968). The multivariate analysis of quantitative data. Multivariate Behavioral Research, 3, 61–94.
Lingoes, J. C. (1973). The Guttman-Lingoes nonmetric program series. Ann Arbor, MI: Mathesis Press.
Schlesinger, I. M., & Guttman, L. (1969). Smallest space analysis of intelligence and achievement tests. Psychological Bulletin, 71, 95–100.
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This entry is dedicated to the memory of Professor Adi Raveh, who passed away in July 2012, before the completion of this enterprise.
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Amar, R., Levy, S. (2023). SSA: Similarity Structure Analysis. In: Maggino, F. (eds) Encyclopedia of Quality of Life and Well-Being Research. Springer, Cham. https://doi.org/10.1007/978-3-031-17299-1_2840
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