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Modeling Longitudinal Data of an Intervention Study on Travel Model Choice: Combining Latent Growth Curves and Autoregressive Models.

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Recent Developments on Structural Equation Models

Part of the book series: Mathematical Modelling: Theory and Applications ((MMTA,volume 19))

Abstract

Travel mode choice has been investigated in the last decade by many researchers, (e.g. Diekmann, 1994; Franzen, 1997; Bamberg, & Schmidt 1998, 2003; Davidov, Schmidt, & Bamberg, 2003). What is common to these studies is that they all tried to find a behavioral explanation to clarify why people choose different means of transportation on their way to work or to a variety of other destinations. In general, these studies differ in various aspects, methodological and substantial.

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References

  • Ajzen, I. (1985). From intentions to action: A theory of planned behavior. In: J. Kühl, & J. Beckman (Eds.), Action control: From cognitions to behaviors (pp. 11–39). NY: Springer.

    Google Scholar 

  • Ajzen, I. (1988). Attitudes, personality and behavior. Milton-Keynes, England: Open University Press.

    Google Scholar 

  • Ajzen, I. (1991). The theory of planned behavior. Organizational Behavior and Human Decision Processes,50, 179–211.

    Article  Google Scholar 

  • Ajzen, L, & M. Fishbein (1977). Attitude-behavior relations: A theoretical analysis and review of empirical research. Psychological Bulletin, 84, 888–918.

    Article  Google Scholar 

  • Anderson, T. W. (1960). Some stochastic process modeis for intelligence test scores. In K. J. Arrow, S. Karlin, & P. Suppes (Eds.), Mathematical methods in the social sciences (pp.205–220). Stanford,CA: Stanford University Press.

    Google Scholar 

  • Arbuckle, J.L., & Wothke, W. (1999).AMOS user’s guide 40. Chicago: Smallwaters.

    Google Scholar 

  • Bamberg, S., & Schmidt, P. (1998). Changing travel mode choice as rational choice. Results from a longitudinal Intervention study. Rationality and Society,10(2), 223–252.

    Article  Google Scholar 

  • Bamberg, S., & Schmidt, P. (2000). Regulating transport: Behavioral changes in the field. Journal of Consumer Policy, 22, 479–509.

    Article  Google Scholar 

  • Bamberg, S., & Schmidt, P. (2003). Incentives, morality or habit? Predicting students’ car use for university routes with the modeis of Ajzen, Schwartz and Triandis. Environment and Behavior, 35(2), 264–285.

    Article  Google Scholar 

  • Bast, J., & Reitsma, P. (1997). Matthew effects in reading: A comparison of latent growth curve modeis and simplex modeis with structured means. Multivariate Behavioral Research, 32, 135–167.

    Article  Google Scholar 

  • Bentier, P. M. (1980). Multivariate analysis with latent variables: Causal modeling. Annual Review of Psychology, 31, 419–456.

    Article  Google Scholar 

  • Bentier, P. M. (1983). Some contributions to efficient statistics for structural modeis: Specification and estimation of moment structures. Psychometrika, 48, 493–517.

    Article  Google Scholar 

  • Bohrnstedt, G. W. (1969). Observations on the measurement of change. In E. F. Borgatta (Ed.), Sociological methodology (pp. 113–133). San Francisco: Jossey-Bass.

    Google Scholar 

  • Browne, M. W., & Du Toit, S. H. C. (1991). Models for learning data. In L. Collins, & J. örn (Eds.), Best methods for the analysis of change: Recent advances, unanswered questions, future directions (pp.47–68). Washington, DC: American Psychological Association.

    Chapter  Google Scholar 

  • Browne M. W. (1992). Covariance structures. In D. M. Hawkins (Ed.), Topics in applied multivariate analysis. Cambridge: Cambridge University Press.

    Google Scholar 

  • Campbell, D. T. (1963). From description to experimentation: Interpreting trends as quasi-experiments. In C. W. Harris (Ed.), Problems in measuring change (pp.212–242). Madison: University of Wisconsin Press.

    Google Scholar 

  • Curran, P. J. (2000). A latent curve framework for studying developmental trajectories of adolescent substance use. In J. Rose, L. Chassin, C. Presson, & J. Sherman (Eds.), Multivariate applications in substance use research (pp.1–42).

    Google Scholar 

  • Mahwah, NJ: Erlbaum. Curran, P.J., & Muthen, B. O. (1999). The application of latent curve analysis to testing developmental theories in Intervention research. American Journal of Community Psychology, 27(4), 567–595.

    Article  Google Scholar 

  • Curran, P., & Bollen, K. (2002). The best of both worlds: Combining autoregressive and latent curve modeis. In A. Sayer, & L. Collins (Eds.), ew methods for the analysis of change (pp. 107–135). Washington, DC: American Psychological Association.

    Google Scholar 

  • Davidov, E., Schmidt, P., & Bamberg, S. (2003). Time and money: An empirical explanation of behavior in the context of travel mode choice with the German microcensus. European Sociological Review,19(3), 267–280.

    Article  Google Scholar 

  • Diekmann, A. (1994). Umweltbewusstsein oder Anreizstrukturen? Empirische Befunde zum Energiesparen, der Verkehrsmittelwahl und zum Konsumverhalten. In A. Diekmann, & A. Franzen (Eds.), Kooperatives Umwelthandeln (pp. 39–68).

    Google Scholar 

  • Bern, Ruegger. Diekmann, A., Gautschi, T., Franzen, A., & Preisendoerfer, P. (1996). Umweltbewusstsein in Deutschland 1996. Codebook- ZA Nr. 2964.Köln: Zentral Archive für Empirische Sozialforschung, Universität zu Köln

    Google Scholar 

  • Diekmann, A., & Preisendoerfer, P. (1998) Environmental behavior- discrepancies between aspirations and reality. Rationality and society, 10, 79–102.

    Article  Google Scholar 

  • Duncan, O. D. (1969). Some linear modeis for two-wave, two-variable panel analysis. Psychological Bulletin, 72, 177–182.

    Article  Google Scholar 

  • Duncan, T.E., Duncan, S. C, Strycker, L. A., Li, F. & Alpert, A. (1999). An introduction to latent variable growth curve modeling. Concepts, issues and applications. London: Lawrence Erlbaum Associates, Publishers.

    Google Scholar 

  • Franzen, A. (1997). Umweltbewusstsein und Verkehrsverhalten. Empirische Analyse zurVerkehrsmittelwahl und zur Akzeptanz umweltpolitischer Massnahmen. Chur, Zuerich: Ruegger.

    Google Scholar 

  • Garst, H. (2000). Longitudinal research using structural equation modeling applied in studies of determinants of psychological well-being and personal initiative in east Germany after the unification. Ph.D. Dissertation, University of Amsterdam.

    Google Scholar 

  • Guttman, L. A. (1954). A new approach to factor analysis. The radex. In P. F. Lazarsfeld (Ed.), Mathematical thinking in the social sciences (pp.258–348). New York: Columbia University Press.

    Google Scholar 

  • Heise, D. R. (1969). Seperating reliability and stability in test-retest correlation. American Sociological Review, 34, 93–101.

    Article  Google Scholar 

  • Hoogland, J.J., & Boomsma, A. (1998). Robustness studies in covariance structure modeling. An overview and a metanalysis. Sociological Methods & Research, 26(3), 329–367.

    Article  Google Scholar 

  • Humphreys, L. G. (1960). Investigations of the simplex. Psychometrika,25, 313–323.

    Article  Google Scholar 

  • Jagodzinski, W., Kühnel, M., & Schmidt, P. (1987). Is there a ‘Socratic Effect’ in nonexperimental panel studies? Consistency of an attitude toward guestworkers. Sociological Methods & Research,15, 259–302.

    Article  Google Scholar 

  • Jöreskog, K. G. (1970). A general method for analysis of covariance structures. Biometrika, 57, 239–251.

    Google Scholar 

  • Jöreskog, K. G. (1971a). Simultaneous factor analysis in several populations. Psychometrika, 36, 409–426.

    Article  Google Scholar 

  • Jöreskog, K. G. (1971b). Statistical analysis of sets of congeneric tests. Psychometrika, 36, 109–133.

    Article  Google Scholar 

  • Jöreskog, K. G. (1979). Statistical estimation of structural modeis in longitudinal developmental investigations. In J. R. Nesselroade, & P. B. Baltes (Eds.), Longitudinal research in the study of behavior and development (pp.303–352). New York: Academic Press.

    Google Scholar 

  • Jöreskog, K. G., & Sörbom, D. (1978). Advances in factor analysis and structural equation modeis. Cambridge, MA: Abt books.

    Google Scholar 

  • Kenny, D. A., & Campbell, D. T. (1989). On the measurement of stability in over-time data. Journal of Personality, 57, 445–481.

    Article  PubMed  Google Scholar 

  • Little, T. D., Schnabel, K. U., & Baumert, J. (Eds.) (2000). Modeling longitudinal and multilevel data. Practical Issues, applied approaches and specific examples. Mahwah, NJ, London: Lawrence Erlbaum Association, Publishers.

    Google Scholar 

  • Marsh, H. W. (1993). Stability of individual differences in multiwave panel studies: Comparison of simplex modeis and one-factor modeis. Journal of Educational Measurement,30, 157–183.

    Article  Google Scholar 

  • McArdle, J. J.(1986). Latent growth within behavior genetic modeis. Behavioral Genetics,16, 163–200.

    Article  Google Scholar 

  • McArdle, J. J. (1988). Dynamic but structural equation modeling of repeated measures data. In J. R. Nesselroade, & R. B. Cattel (Eds.), Handbook of multivariate experimental psychology (2nd ed., pp. 561–614). New York: Plenum Press.

    Chapter  Google Scholar 

  • McArdle, J. J. (1989). Structural modeling experiments using multiple growth functions. In P. Ackerman, R. Kanfer, & R. Cudeck (Eds.), Learning and individual differences: Abilities,motivation and methodology (pp. 71–117). Hillsdale, NJ: Lawrence Erlbaum Associates.

    Google Scholar 

  • McArdle, J. J. (1991). Structural modeis of developmental theory in psychology. In P. Van Geert, & L. P. Mos (Eds.), Annais of theoretical psychology (Vol. 7, pp. 139–160). New York: Plenum Press.

    Chapter  Google Scholar 

  • McArdle, J. J., & Epstein, D. (1987). Latent growth curves within developmental structural equation modeis. Child Development, 58, 110–133.

    Article  PubMed  Google Scholar 

  • McCloy, R. A., Campbell, J. P., & Cudeck, R. (1994). A confirmatory test of a model of Performance determinants. Journal of Applied Psychology, 79, 493–505.

    Article  Google Scholar 

  • Meredith, W., & Tisak, J. (1984). “Tuckerizing” curves. Paper presented at the annual meeting of the Psychometric Society, Santa Barbara, CA.

    Google Scholar 

  • Meredith, W., & Tisak, J. (1990). Latent curve analysis. Psychometrika,55, 107–122.

    Article  Google Scholar 

  • Muthln, B. O. (1991). Analysis of longitudinal data using latent variable modeis with varying parameters. In L. M. Collins, & J. L. Hörn (Eds.), Best methods for the analysis of change: Recent advances, unanswered questions, future directions (pp. 1–17). Washington, DC: APA.

    Chapter  Google Scholar 

  • Muthen, B. O. (1994). Latent variable modeling of longitudinal and multilevel data. Invited paper for the showcase Session, Section on methodology, American Sociological Association, Aug.

    Google Scholar 

  • Muthli, B. O., & Curran, J. P. (1997). General longitudinal modeling of individual differences in experimental designs: A latent variable framework for analysis and power estimation. Psychological Methods, 2, 371–402.

    Article  Google Scholar 

  • Preisendorfer, P. (2000). Strukturell-situationale Gegebenheiten als Bestimmungsfaktoren der Verkehrsmittelwahl. Soziale Welt51, 487–502.

    Google Scholar 

  • Reinecke, J., Schmidt, P., & Weick, S. (2001). Dynamic modeis via structural equations and Stochastic differential equations: The process of identification of foreigners with Germany. In J. Blasius, J. Hox, E. de Leeuw, & Schmidt, P. (Eds.), Social science methodology in the new millennium. Proceedings of the 5th international Conference on logic and methodology, Opladen: Leske+Budrich.

    Google Scholar 

  • Rogosa, D., & Willett, J. B. (1985). Satisfying simplex structure is simpler than it should be. Journal of educational sdtatistics, 10, 99–107.

    Article  Google Scholar 

  • Urban, D. (2002). Prozesseanalyse im Strukturgleichungsmodel. Zur Anwendung latenter Wachstumskurvenmodelle in der sozialisationsforschung. ZA-Information, 51, 6–37.

    Google Scholar 

  • Willett, J. B. and A. G. Sayer (1994). Using covariance structure analysis to detect correlates and predictors of change. Psychological Bulletin, 116, 363–381.

    Article  Google Scholar 

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Davidov, E., Schmidt, P., Bamberg, S. (2004). Modeling Longitudinal Data of an Intervention Study on Travel Model Choice: Combining Latent Growth Curves and Autoregressive Models.. In: van Montfort, K., Oud, J., Satorra, A. (eds) Recent Developments on Structural Equation Models. Mathematical Modelling: Theory and Applications, vol 19. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-1958-6_14

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  • DOI: https://doi.org/10.1007/978-1-4020-1958-6_14

  • Publisher Name: Springer, Dordrecht

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