Abstract
Models of developmental continuity and change in quantitative phenotypes may be tested using longitudinal data from twins. We illustrate a procedure for establishing the power and required sample sizes for detecting developmental transmission against an alternative common-factor hypothesis. We explore the general effects of different heritabilities, different fidelities of environmental and genetic developmental transmission, and varying numbers of occasions of measurement. In addition, a constraint of wide application is postulated for the action of the environment; either environmental effects are transmitted (learned) and occasion specific or they exert a constant influence which is not transmitted (learned). While the situations we examine are necessarily restricted here, our explorations of power show that, providing that we measure on at least four occasions, it is easy to detect developmental transmission with workable sample sizes.
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References
Boomsma, D. T., and Molenaar, C. M. (1987). Genetic analysis of repeated measures. I. Simplex models.Behav. Genet. 17:111–124.
Eaves, L. J., Kendler, K. S., and Schulz, S. C. (1986a). The familial sporadic classification: Its power for the resolution of genetic and environmental etiological factors.J. Psychiat. Res. 20:115–130.
Eaves, L. J., Long J., and Heath, A. C. (1986b). A theory of developmental change in quantitative phenotypes applied to cognitive development.Behav. Genet. 16:143–162.
Fredericksen, C. H., and Rotondo, J. H. (1979). Time-series models and the study of longitudinal change. In Nesselroade, J. R., and Baltes, P. B. (eds.),Longitudinal Research in the Study of Behavior and Development, Academic Press, New York, pp. 111–153.
Harlan, W. R., Oberman, A., Mitchel, R. E., and Graybiel, A. (1973). A 30 year study of blood pressur in a white male cohort. In Onesti, G., Kim, K. E., and Moyer, J. H. (eds.),Hypertension: Mechanisms and Management, Grove and Stratton, New York.
Heath, A. C., and Eaves, L. J. (1986). Research strategies for the resolution of developmental genetic models. Abstract for Fifth International Congress on Twin Studies, Amsterdam.
Hewitt, J. K., and Heath, A. C. (1988). A note on computing the chi-square noncentrality parameter for power analyses.Behav. Genet. 18:105–108.
Hewitt, J. K., Carroll, D., Sims, J., and Eaves, L. J. (1988). A developmental hypothesis for adult blood pressure.Acta Genet. Med. Gemellol. (in press).
Hilton, T. L. (1969).Growth Study Annotated Bibliography, Progress Report 69-11, Educational Testing Serives, Princeton, N.J.
Joreskog, K. G. (1974). Analyzing psychological data by structural analysis of covariance matrices. In Krantz, D. H., Atkinson, R. C., Luce, R. D., and Suppes, P. (eds.),Contemporary Developments in Mathematical Psychology, Vol. II. Measurement, Psychophysics, and Neural Information Processing, W. H. Freeman, San Francisco.
Joreskog, K. G., and Sorbom, D. (1984).LISREL VI User's Guide, Scientific Software, Mooresville, Ind.
Martin, N. G., Eaves, L. J., Kearsey, M. J., and Davies, P. (1978). The power of the classical twin study.Heredity 40:97–116.
McArdle, J. J. (1986). Latent variable growth within behavior genetic models.Behav. Genet. 16:163–200.
Nesselroade, J. R., and Baltes, P. B. (eds.) (1979).Longitudinal Research in the Study of Behavior and Development, Academic Press, New York.
Pearson, E. S., and Hartley, H. O. (eds.) (1972).Biometrika Tables for Statisticians, Vol. 2, Cambridge University Press, Cambridge.
Province, M. A., and Rao, D. C. (1985). A new model for the resolution of cultural and biological inheritance in the presence of temporal trends: Applications to systolic blood pressure.Genet. Epidemiol. 2:363–374.
Rogosa, D. R., and Willett, J. B. (1985). Understanding correlates of change by modelling individual differences in growth.Psychometrika 50:203–228.
SAS Institute (1985).SAS User's Guide: Basics, Version 5 edition, SAS Institute, Cary, N.C.
Sattorra, A., and Saris, W. E. (1985). Power of the likelihood ratio test in covariance structure analysis.Psychometrika 50:83–90.
Sneiderman, C., Heyden, S., Heiss, G., Tyroler, H., and Hames, C. (1976). Predictors of blood pressure over a 16 year follow-up of 163 youths.Circulation (Suppl. 2)54:11–24.
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This work was supported in part by Grants AG04954, MH40828, GM30250, AA06781, and HL31010 from the National Institutes of Health.
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Hewitt, J.K., Eaves, L.J., Neale, M.C. et al. Resolving causes of developmental continuity or “tracking.” I. Longitudinal twin studies during growth. Behav Genet 18, 133–151 (1988). https://doi.org/10.1007/BF01067836
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DOI: https://doi.org/10.1007/BF01067836