Tarun Kumar Tyagi, Bhoodev Singh

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Cross–lagged panel analysis is found in the main stream of social, behavioral, medical, business and educational research. It is a form of quasi-experimental design used to determine whether the relationship between two variables is spurious i.e., due to a third variable and not due to causation. Cross–lagged panel analysis is a process used to determine which variable is the cause and which variable is the effect. It is an exploratory method of collecting information at two points in time i.e., time 1 and time 2, to clarify the causal relations between uncontrolled variables which could be tested more rigorously in an experimental setting. The Cross–lagged Panel Correlation (CLPC) is a low power test but better adapted than either multiple regression or factor analysis for answering many questions in longitudinal studies. It captures the dynamic relationship among the variables and allows the model to be controlled over time. This paper focuses on the 2w2v (two wave & two variable) design to describe a research method which can be used to explore the causal predominance relationship in the absence of a true experimental design, but only in a passive manner.

Key words: cross–lagged panel correlation, spurious correlation, synchronous correlation, autocorrelation, stationarity, synchronicity.


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Ahmed, W., Minnaret, A., Kuyper, H., & van der Werf, G. (2012). Reciprocal relationships between math self-concept and math anxiety. Learning and Individual Differences, 22, 385-389.

Calsyn, R. J. & Kenny, D. A. (1977). Self concept of ability and perceived evaluation of others: Cause or effect of academic achievement. Journal of Educational Psychology, 69, 136-145.

Calsyn, R. J. (1973). The causal relation between self-concept, locus of control, and achievement: A cross-lagged panel analysis. (Doctoral dissertation, Northwestern University, 1973). Dissertation Abstracts International, 42, 4076a.

Campbell, D. T. & Fiske, D. W. (1959). Convergent and discriminant validation by the multitrait-multimatrix. Psychological Bulletin, 56, 51-105.

Campbell, D. T. & Stanley, J. C. (1963). Experimental and Quasi-Experimental Designs for Research. Chicago: Rand McNally.

Chan, F. (1985). The Relationship between Depression, Irrational Beliefs, and Cognitive Distortions. Paper presented at the Annual meeting of the western Psychological Association, (65th, San Jose, CA, April 18-21, 1985) ED260345.

Chaney, J. M., Mullins, L. L., Wagner, J. L., Hommel, K. A., Page, M. C., & Doppler, M. J. (2004). A Longitudinal Examination of Causal Attribution and Depression Symptomatology in Rheumatiod Arthritis. Rehabilitation Psychology, 49, 2, 126-133.

Crano, W. D. & Mellon, P. M. (1978). Causal Influence of Teachers’ Expectations on children’s Academic performance: A Cross-lagged Panel Analysis. Journal of Educational Psychology, 70, 1, 39-49.

Crano,W. D., Kenny, D. A. & Campbell, D. T. (1972). Does Intelligence Cause Achievement?: A Cross-lagged Panel Analysis. Journal of Educational Psychology, 63, 3, 258-275.

Delsing, M. J. H., Oud, J. H. L., & De Bruyn, E. E. J. (2005). Assessment of Bidirectional Influences Between Family Relationships and Adolescent Problem Behavior: Discrete versus Continuous Analysis, European Journal of Psychological Assessment, 21, 4, 226-231.

Eron, L. D., Huesmann, L. R., Lefkowitz, M. M., & Walder, L. O. (1972). Does Television Violence Cause Aggression? American Psychologist, 253-263.

Farris, G. F. (1967). Toward a non-experimental method for causal analysis of social phenomena. Australian Journal o] Psychology, 1969, 21, 259-276.

Hooker, R. W. (1901). ‘Correlation of marriage-rate with trade’. Journal of the Royal Statistical Society, 64, 485-492.

Kellaghan, T. (1973). Intelligence and Achievement in Disadvantaged Population: A Cross-Lagged Panel Analysis. The Irish Journal of Education, 7, 1, 23-28.

Kenny, D. A. (1973). Cross-lagged and synchronous common factors in panel data. In A. S. Goldberger & O. D. Duncan (Eds.), Structural equation models in the social sciences. New York: Seminar Press.

Kenny, D. A. (1975). Cross-lagged Panel Correlation: A Test for Spuriousness. Psychological Bulletin, 82, 6, 887-903.

Kenny, D. A. (1979). Correlation and Causality. New York: Wiley.

Lazarsfeld, P. F. & Fiske, M. (1938). The “panel” as a new tool for measuring public opinion. Public Opinion Quarterly, 2, 596-612.

Lazarsfeld, P. F. (1940). Panel studies. Public Opinion Quarterly, 4, 122-128.

Lazarsfeld, P. F. (1946). "Interpretation of statistical relations as a research operation.'' Address given at the Cleveland meeting of the American Sociological Society. Reprinted in P. F. Lazarsfeld and M. Rosenberg (1955), The language of social research. Glencoe, 111: Free Press.

Lazarsfeld, P. F. (1948). The use of panels in social research. Proceedings of the American Philosophy of Sociology, 92, 405-410.

Ma, X. & Xu, J. (2004). The Causal ordering of mathematics anxiety and mathematics achievement: a longitudinal panel analysis. Journal of Adolescence, 27, 165-179.

Mackinnon, S. P. (2012). Perceived Social Support and Academic Achievement: Cross-lagged Panel and Bivariate Growth Curve Analyses. Journal of Youth and Adolescence, 42, 4, 474-485.

Marmor, G. S. & Montemayor, R. (1977). The Cross-lagged Panel Design: A Review. Perceptual and Motor Skills, 45, 3, 883-893.

Martin, A. J. & Liem, G. A. D. (2010). Academic personal bests (PBs), engagement, and achievement: A cross-lagged panel analysis. Learning and Individual Differences, 20, 265-270.

Mayer, L. S. & Carroll, S. S. (1988). Detecting serial correlation in the error structure of a cross-lagged panel model. Technical Report, Department of Statistics, Stanford University.

Nepomnyaschy, L. (2007). Child Support and Father-Child Contact: Testing Reciprocal Pathways. Demography, 44, 1, 93-112.

Pelz, D. C. & Andrews, F. M. (1964). Detecting causal properties in panel study data. American Sociological Review, 29, 836-848.

Pottebaum, S. M., Keith, T. Z. & Ehly, S. W. (1986). Is there a causal relation between self-concept and academic achievement? The Journal of Educational Research, 79, 3, 140-144.

Preece, P. F. W. (1979). Student Teacher Anxiety and Class-Control Problems on Teaching Practice: A Cross-Lagged Panel Analysis. British Educational Research Journal, 5, 1, 13-19.

Quinn, B. & Jadav, A. D. (1987). Causal relationship between attitude and achievement for elementary grade mathematics and reading. The Journal of Educational Research, 80, 6, 366-372.

Rickard, S. (1972). The assumptions of causal analyses for incomplete causal sets of two multilevel variables. Multivariate Behavioral Research, 7, 317-359.

Rogosa, D. (1980). A Critique of Cross-lagged Correlation. Psychological Bulletin, 88, 2, 245-258.

Rogosa, D. (1987). Causal Models Do Not Support Scientific Conclusions: A comment in Support of Freedman. Journal of Educational Statistics, 12, 2, 185-195.

Rosenberg, F. R., & Rosenberg, M. (1978). Self-Esteem and Delinquency. Journal of Youth and Adolescence, 7, 3, 279- 294.

Rozelle, R. M., & Campbell, D. T. (1969). More plausible rival hypotheses in the cross-lagged panel correlation technique. Psychological Bulletin, 71, 1, 74-80.

Shingles, R. D. (1976). Causal Inference in Cross-Lagged Panel Analysis. Political Methodology, 3, 1, 95-133.

Simon, H. A. (1954). Spurious correlation: A causal interpretation. American Statistical Association Journal, 49, 467-479.

Simon, H. A. (1957). Models of man. New York: Wiley.

Soelberg, P. (1967). Causal Inference from Cross-Lagged Correlation Coefficients: Fact or Fancy? Library of Massachusetts Institutes of Technology, 260-67. Retrieved from‎

Verma, S. R. (1994). A Cross-lagged Panel Analysis of Scientific Creativity, Scientific Aptitude and Career Interest. Unpublished Doctoral Dissertation, Faizabad: University of Awadh, India.

Volmer, J. & Niessen, C., Spurk D., Linz, A., & Abele, A. E. (2011). Reciprocal Relationships between Leader-Member Exchange (LMX) and Job Satisfaction: A Cross-lagged Analysis. Applied Psychology, 60, 4, 522-545.

Watkins, M. W., Lei, P-W., & Canivez, G. L. (2007). Psychometric Intelligence and achievement: A cross-lagged panel analysis. Intelligence, 35, 59-68.

Wolf, F. M., Chandler, T. A. & Spies, C. J. (1981). A Cross-lagged Panel Analysis of Quality of School life and Achievement Responsibility. The Journal of Educational Research, 74, 5, 363-368.

Ye, S., Yu, L., & Li, K.-K. (2012). A cross-lagged model of self-esteem and life satisfaction: Gender differences among Chinese university students. Personality and Individual Differences, 52, 546-551.

Yoon, K. S. & Eccles, J. S., & Wigfield, A. (1996). Self-Concept of Ability, Value, and Academic Achievement: A Test of Causal relations. Paper presented at the Annual meeting of the American Educational Research Association in New York.



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