Abstract
A broader version of this paper (H. Wold 1976), first presented at the European Meeting of Econometric Society, Helsinki, Finland, 23–27 August 1976, has been split in two parts, of which this is the first. A program paper for a project on “soft” modelling with latent variables that I initiated in late 1971, and which soon expanded into international collaboration, the Helsinki paper links up with the group report on our project presented at the Third World Congress of Econometric Society, Toronto, Canada, 21–26 August 1975 (H. Wold, edit. 1975). The present first part of the Helsinki paper summarizes the theoretical evolution of the NTPALS approach to “soft” modelling, with detailed exposition of some new contributions. The second part, soon to be published elsewhere, reviews the first applications of NIPALS “soft” models, generalizes the approach in various directions, and comments upon “soft” versus “hard” modelling.
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References
Anderson, T.W. (1958): An Introduction to Multivariate Statistical Analysis. New York: Wiley.
Apel, H. (1976): Simulation sozio-b’konomischer Zusammenhänge — Kritik und Modifikation von System Dynamics. Doctorial Dissertation, J W von Goethe University, Frankfurt.
Areskoug, B. (1974/75): “Computer Program MIMIC” Department of Statistics, University of Göteborg.
Areskoug, B. (1975); Oral communication on simulation results.
Blalock, Jr., H.M. (edit. 1971): Causal Models in the Social Sciences. Chicago: Aldine-Atherton.
Blalock, Jr., H.M. and A. Aganbegian, F.M. Borodkin, R. Boudon, V. Capecchi (edit. 1975): Quantitative Sociology; International Perspectives on Mathematical and Statistical Modeling. New York; Academic Press.
Duewer, D.L. and B.R. Kowalski, T.F. Schatzki (1975):“Source Identification of Oil Spills by Pattern Recognition Analysis of Natural Elemental Composition.” Analytical Chemistry 47: 9, 1573–1583.
Duncan, O.D. (1966): “Path Analysis: Sociological Examples.” American Journal of Sociology 72: 1–16.
Lyttkens, E. (1966); “On the Fix-Point Property of Wold’s Iterative Estimation Method for Principal Components.” Pages 335–350 in “Multivarate Analysis,” edit. P.R. Krishnaiah; New York: Academic Press.
Lyttkens, E. (1972); “Regression Aspects of Canonical Correlation.” Journal of Multi-variate Analysis 2: 418–439.
Lyttkens, E. and B. Arèskoug, H. Wold (1975): “The Convergence of NIPALS Estimation Procedures for Six Path Models with One or Two Latent Variables.” Research Report 1975:3, Department of Statistics, University of Göteborg.
Mosbaek, E.J. and H. Wold, with contributions by E. Lyttkens, A. Ågren, L. Bodin (1970): Interdependent Systems. Structure and Estimation. Amsterdam: North-Holland Publ.
Noonan, R. and H. Wold (1976): “NIPALS Path Modelling with Latent Variables. Analyzing School Survey Data Using Nonlinear Iterative Partial Least Squares.” Research Report 19, Institute for the Study of International Problems in Education, Univer-sit of Stockholm.
Wold, H. (1965):“on the Consistency of Least Squares Regression.” Sankhyā A 25:2, 211–215.
Wold, H. (1966): “Nonlinear Estimation by Iterative Least Squares Procedures.” Pages 411–444 in “Research Papers in Statistics. Festschrift for J. Neyman,” ed. F.N. David; New York:, Wiley.
Wold, H. (1975):“Nonlinear Iterative Partial Least Squares (NIPALS) Modelling. Some Current Developments.” Pages 383–407 in “Multivariate Analysis III,” ed. P.R. Krishnaiah; New York: Academic Press.
Wold, H. (1975a):“Path Models with Latent Variables; The NIPALS Approach,” Pages 307-557 in Blalock et al. (edit. 1975).
Wold, H. (1975b); “Soft Modelling by Latent Variables: The Non-Linear Iterative Partial Least Squares (NIPALS) approach,” Pages 117–142 in “Perspectives in Probability and Statistics. The M.S. Bartlett Festschrift,” ed. J. Gani* New York: Academic Press.
Wold, H. (1975c): “From Hard to Soft Modelling,” Chapter 1 in H. Wold (edit. 1975).
Wold, H. (edit. 1975)s “Modelling In Complex Situations with Soft Information.” Third World Congress of Econometric Society, Toronto, Canada, 21–26 August 1975. Also, Research Report 1975:5, Department of Statistics, University of Göteborg.
Wold, H. (1976):“on the Transition from Pattern Cognition to Model Building. The NIPALS (Nonlinear Iterative Partial Least Squares) Approach.” European Meeting of Econometric Society, Helsinki, Finland, 23–27 August 1976. Also, Research Report 1976:5, Department of Statistics, University of Göteborg.
Wold, H. and B. Areskoug (1975): “Path Models with Latent Variables as Proxies for Blocks of Manifest Variables,” Chapter 3 in H. Wold (edit. 1975).
Wold, S. (1974); “Pattern Cognition and Recognition (Cluster Analysis) Based on Disjoint Principal Components Models.” Technical Report 357, Statistics Department, University of Wisconsin.
Wold, S. (1975): “Pattern Recognition by Means of Disjoint Principal Components Models,” Technical Report 2, Research Group for Chemometrics, Institute of Chemistry, University of Umeå.
Wold, S. (1976)s “Pattern Recognition by Means of Disjoint Principal Components Models,” Pattern Recognition 8: 5, 127–159.
Wright, S. (1954): “The Method of Path Coefficients.” Annals of Mathematical Statistics 5: 161–215.
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Wold, H. (1977). On the Transition from Pattern Cognition to Model Building. In: Henn, R., Moeschlin, O. (eds) Mathematical Economics and Game Theory. Lecture Notes in Economics and Mathematical Systems, vol 141. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45494-3_43
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DOI: https://doi.org/10.1007/978-3-642-45494-3_43
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