The exploratory role three-mode principal component analysis can play in analyzing multivariate longitudinal organizational data is outlined by an exposition of the technique itself, and by its application to organizational data from Dutch hospitals. Relationships with some other techniques for such data are indicated.
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References
1.
ALGERA, J. A. (1980) Kenmerken van werk. Doctoral thesis, Department of Psychology, University of Leiden, The Netherlands.
2.
BENTLER, P. M.
(1980) “Structural equation models in longitudinal research,” in S. A. Mednick and M. Harway (eds.) Longitudinal Research in the United States.
3.
BENTLER, P. M.
(1978) “The interdependence of theory, methodology, and empirical data: causal modeling as an approach to construct validation,” in D. B. Kandell (ed.) Longitudinal Research on Drug Use. New York: Wiley.
4.
BENTLER, P. M.
(1973) “Assessment of developmental factor change at the individual and group level,” pp. 145-174 in J. R. Nesselroade and H. W. Reese (eds.) Life-Span Developmental Psychology. Methodological Issues. New York: Academic.
5.
BENTLER, P. M.
and S. Y. LEE (1979) “A statistical development of three-mode factor analysis.”British J. of Mathematical and Stat. Psychology32: 87-104.
6.
BENTLER, P. M.
and S. Y. LEE(1978) “Statistical aspects of a three-mode factor analysis model.”Psychometrika43: 343-352.
7.
BLALOCK, H. M.
(1967) “Path coefficients versus regression coefficients.”Amer. J. of Sociology72: 675-676.
8.
BLOXOM, B.
(1968) “ A note on invariance in three-mode factor analysis.”Psychometrika33: 347-350.
9.
CHILD, C.
and A KIESER (1981) “Development of organizations over time,” in P. C. Nystrom and W. H. Starbuck (eds.) Handbook of Organizational Design. Vol. 1: Adapting Organizations to Their Environment. Oxford: Oxford Univ. Press.
10.
CLIFF, N.
(1968) “The `idealized individual' interpretation of individual differences in multidimensional scaling.”Psychometrika33: 225-232.
11.
CORNELIUS, E. T., III
, M. D. HAKEL, and P. R. SACKETT (1979) “A methodological approach to job classification for performance appraisal purposes.”Personnel Psychology32: 283-297.
12.
DAHRENDORF, R.
(1958) “Out of utopia: toward a reorientation of sociological analysis.”Amer. J. of Sociology64: 115-127.
13.
DENTON, J. A.
(1982) “Organizational size and structure—a longitudinal analysis of hospitals.”Soc. Spectrum2: 57-71.
14.
FRANE, J. W.
and M. HILL (1976) “Factor analysis as a tool for data analysis.”Communications in Statistics A5: 487-506.
15.
FREDERIKSEN, N.
, O. JENSEN, and A. E. BEATON (1972) Prediction of Organizational Behavior. Elmsford, NY: Pergamon.
16.
GIFI, A.
(1981) Nonlinear Multivariate Analysis. Department of Data Theory, University of Leiden.
17.
GOOD, I. J.
(1969) “Some applications of the singular decomposition of a matrix.”Technometrics11: 823-831.
18.
HARSHMAN, R. A.
and S. BERENBAUM (1981) “Basic concepts underlying the PARA-FAC-CANDECOMP three-way factor analysis and its application to longitudinal data,” in D. H. Eichornet al. (eds.) Present and Past in Middle Life. New York: Academic.
19.
HARSHMAN, R. A.
and M. E. LUNDY (1984) “Data preprocessing and the extended PARAFAC model,” pp. 216-284 in H. G. Lawet al. (eds.) Reseach Methods for Multimode Data Analysis. New York: Praeger.
20.
IVANCEVITCH, J. M.
and J.M.T. MATTESON (1978) “Longitudinal organizational research in field settings.”J. of Business Research6: 181-201.
21.
JÖRESKOG, K. G.
(1979) “Statistical estimation of structural models in longitudinal developmental investigation,” in J. R. Nesselroade and P. B. Baltes (eds.) Longitudinal Methodology in the Study of Behavior and Human Development. New York: Academic.
22.
JÖRESKOG, K. G.
(1978) “An economic model for multivariate panel data.”Annales de l'INSEE30-31.
23.
JÖRESKOG, K. G.
and D. SÖRBOM (1977) “Statistical models and methods for analysis of longitudinal data,” pp. 235-285 in D. J. Aigner and A. S. Goldberger (eds.) Latent Variables in Socio-Economic Models. Amsterdam: North-Holland.
24.
KIMBERLY, J. R.
(1976a) “Issues in the design of longitudinal organizational research.”Soc. Methods & Research4: 321-347.
25.
KIMBERLY, J. R.
(1976b) “Organizational size and the structuralist perspective: a review, critique, and proposal.”Admin. Sci. Q.21: 571-597.
26.
KROONENBERG, P. M.
(1983a) Three-Mode Principal Component Analysis: Theory and Applications. Leiden, The Netherlands: DSWO.
27.
KROONENBERG, P. M.
(1983b) “Annotated bibliography of three-mode factor analysis.”British J. of Mathematical and Stat. Psychology36: 81-113.
28.
KROONENBERG, P. M.
and J. DE LEEUW (1980) “Principal component analysis of three-mode data by means of alternating least squares algorithms.”Psychometrika45: 69-97.
29.
KRUSKAL, J. B.
(1984) “Multilinear methods,” pp. 36-62 in H. G. Lawet al. (eds.) Research Methods for Multimode Data Analysis. New York: Praeger.
30.
KRUSKAL, J. B.
(1978) “Factor analysis and principal components. I. Bilinear methods,” pp. 307-330 in W. H. Kruskal and J. Tenur (eds.) International Encyclopedia of Statistics. New York: Macmillan.
31.
LAMMERS, C. J.
(1974) “Groei en ontwikkeling van ziekenhuisorganisaties in Nederland.” Technical report, Institute of Sociology, University of Leiden, The Netherlands.
32.
LEVIN, J.
(1965) “Three-mode factor analysis.”Psych. Bull.64: 442-452.
33.
LOHMÖLLER, J. B.
(1979) “Die trimodale Faktorenanalyse von Tucker: Skalierungen, Rotationen, andere Modelle.”Archiv für Psychologie131: 137-166.
34.
LOHMÖLLER, J. B.
(1978) “How longitudinal factor stability, continuity, differentiation, and integration are portrayed into the core matrix of three-mode factor analysis.” Presented at the European Meeting on Psychometrics and Mathematical Psychology, Uppsala, Sweden, June 16.
35.
LOHMÖLLER, J. B.
and H. WOLD (1980) “Three-mode path models with latent variables and partial least squares (PLS) parameter estimation.” Presented at the European Meeting of the Psychometric Society, Groningen, The Netherlands, June 18-21.
36.
MEYER, M. W.
(1979) Change in Public Bureaucracies. Cambridge: Cambridge Univ. Press.
37.
MEYER, M. W.
(1972) “Size and structure of organizations: a causal analysis.”Amer. Soc. Rev.37: 434-441.
38.
MILLER, D.
(1981) “Toward a new contingency approach: the search for organizational Gestalts.”J. of Management Studies18: 1-26.
39.
MILLER, D.
and P. H. FRIESEN (1981) “The longitudinal analysis of organizations: a methodological perspective.”Management Sci.28: 1013-1034.
40.
MILLER, D.
and P. H. FRIESEN(1980) “Archetypes of organizational transition.”Admin. Sci. Q.25: 268-299.
41.
RUSHING, W. A.
(1967) “The effects of industry size and division of labor on administration.”Admin. Sci. Q.12: 273-295.
42.
SWAMINATHAN, H.
(1984) “Factor analysis of longitudinal data,” pp. 308-332 in H. G. Lawet al. (eds.) Research Methods for Multi Mode Data Analysis. New York: Praeger.
43.
TUCKER, L. R.
(1966) “Some mathematical notes on three-mode factor analysis.”Psychometrika31: 279-311.
44.
(reprinted in A. Anastasi (ed.) Testing Problems in Perspective. Washington, DC: American Council on Education, 1966)
45.
A. Anastasi
(1963) “Implications of factor analysis of three-way matrices for the measurement of change,” pp. 122-137 in C. W. Harris (ed.) Problems in Measuring Change. Madison: Univ. of Wisconsin Press.
46.
A. Anastasi
and S. MESSICK (1963) “An individual differences model for multidimensional scaling.”Psychometrika28: 333-367.
47.
VAVRA, T. G.
(1972) “Factor analysis of perceptual change.”J. of Marketing Research9: 193-199.
48.
VISSER, R. A.
(1985) On Quantitative Longitudinal Data in Social and Behavioral Sciences. Leiden: DSWO.
49.
WEBER, M.
(1921) Wirtschaft und Gesellschaft. Tübingen, FRG: Mohr. (pub. orig. in 1921)
50.
WEESIE, H. M.
and J. C. VAN HOUWELINGEN (1973) “GEPCAM user's manual.”Institute of Mathematical Statistics, University of Utrecht.
51.
WOHLWILL, J. F.
(1973) The Study of Behavioral Development. New York: Academic.
52.
ZENISEK, T. J. (1980) “The measurement of job satisfaction: a three-mode factor analysis.” Doctoral thesis, Ohio State University. (Dissertation Abstracts International, 1980, 41 [1-A], 75)