Hostname: page-component-8448b6f56d-tj2md Total loading time: 0 Render date: 2024-04-24T09:59:49.602Z Has data issue: false hasContentIssue false

Sense and Nonsense in Genetic Epidemiology: A Critique of the Statistical Model of Williams and Iyer

Published online by Cambridge University Press:  01 August 2014

A.C. Heath*
Affiliation:
Department of Human Genetics, Medical College of Virginia, Richmond
N.G. Martin
Affiliation:
Department of Human Genetics, Medical College of Virginia, Richmond
L.J. Eaves
Affiliation:
Department of Human Genetics, Medical College of Virginia, Richmond
*
Department of Human Genetics, Medical College of Virginia, P.O. Box 33, MCV Station, Richmond, VA 23298, USA

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The statistical model for the analysis of twin-family data of Williams and Iyer is examined. The model uses a large number of redundant parameters. It does not lead to quantitative predictions for new relationships. It allows for epistasisbut not dominance. It makes assumptions about assortative mating which are inconsistent with any biologically plausible mechanism. It assumes that the environmental correlation between parent and offspring is due to the direct effect of the parental genotypes, not phenotypes, on offspring environment. Other models which avoid these problems are more appropriate for the analysis of extended twin-family data.

Type
Research Article
Copyright
Copyright © The International Society for Twin Studies 1984

References

REFERENCES

1. Bashi, J (1977): Effects of inbreeding on cognitive performance of Israeli Arab children. Nature 266:440442.CrossRefGoogle Scholar
2. Bulmer, MG (1980): The Mathematical Theory of Quantitative Genetics. Oxford: Clarendon Press.Google Scholar
3. Cloninger, CR (1980): Interpretation of intrinsic and extrinsic structural relations by path analysis: theory and applications to assortative mating. Genet Res 36:135145.CrossRefGoogle Scholar
4. Cloninger, CR, Rice, J, Reich, T (1979a): Multifactorial inheritance with cultural transmission and assortative mating. II. A general model of combined polygenic and cultural inheritance. Am J Hum Genet 31:176198.Google Scholar
5. Cloninger, CR, Rice, J, Reich, T (1979b): Multifactorial inheritance with cultural transmission and assortative mating. III. Family structure and the analysis of experiments. Am J Hum Genet 31: 366388.Google ScholarPubMed
6. Cockerham, CC (1954): An extension of the concept of partitioning hereditary variance for analysis of covariances among relatives when epistasis is present. Genetics 39:859882.CrossRefGoogle ScholarPubMed
7. Crumpacker, DW, Cederlöf, R, Friberg, L, Kimberling, WJ, Sörensen, S, Vandenberg, SG, Williams, JS, McClearn, GE, Grevér, R, Iyer, H, Krier, MJ, Pedersen, NL, Price, RA, Roulette, I (1979): A twin methodology for the study of genetic and environmental control of variation in human smoking behavior. Acta Genet Med Gemellol 28:173195.Google Scholar
8. Eaves, LJ, Heath, AC (1981): On the detection of asymmetric assortative mating. Nature 289: 205206.CrossRefGoogle Scholar
9. Eaves, LJ, Last, K, Young, PA, Martin, NG (1978): Model-fitting approaches to the analysis of human behavior. Heredity 41:249320.10.1038/hdy.1978.101CrossRefGoogle Scholar
10. Falconer, DS (1960): Introduction to Quantitative Genetics. Edinburgh: Oliver and Boyd.Google Scholar
11. Fisher, RA (1918): The correlation between relatives on the supposition of Mendelian inheritance. Transactions of the Royal Society of Edinburgh 52:399433.CrossRefGoogle Scholar
12. Hayley, CS, Last, K (1981): The advantages of analyzing human variation using twins and twin half-sibs and cousins. Heredity 47:221236.10.1038/hdy.1981.78CrossRefGoogle Scholar
13. Heath, AC (1983): Human Quantitative Genetics: Some Issues and Applications. DPhil Thesis, University of Oxford.Google Scholar
14. Jinks, JL, Fulker, DW (1970): Comparison of the biometrical genetical, MAVA and classical approaches to the analysis of human behavior. Psychol Bull 73:311349.CrossRefGoogle Scholar
15. Loehlin, JC (1978): Heredity-environment analyses of Jencks's IQ correlations. Behav Genet 8: 415426.CrossRefGoogle Scholar
16. Loehlin, JC (1979): Combining data from different groups in human behavior genetics. In Royce, JR, Mos, L (eds): Theoretical Advances in Behavior Genetics. Alphenaan den Rijn: Sijthoff & Noordhoff.Google Scholar
17. Malecot, G (1948): The Mathematics of Heredity (in French). Paris: Masson.Google Scholar
18. Mather, K (1974): Non-allelic interaction in continuous variation of randomly breeding populations. Heredity 32:414419.CrossRefGoogle ScholarPubMed
19. Mather, K, Jinks, JL (1963): Correlations between relatives arising from sex-linked genes. Nature 198:314315.CrossRefGoogle ScholarPubMed
20. Mather, K, Jinks, JL (1971): Biometrical Genetics, 2nd Edn. London: Chapman and Hall.CrossRefGoogle Scholar
21. Mather, K, Jinks, JL (1977): Introduction to Biometrical Genetics. London: Chapman & Hall.CrossRefGoogle Scholar
22. Price, RA, Vandenberg, SG, Iyer, H, Williams, JS (1982): Components of variation in normal personality. J Pers Soc Psych 43:328340.CrossRefGoogle Scholar
23. Rao, DC, Morton, NE (1978): IQ as a paradigm in genetic epidemiology. In Morton, NE, Chung, CS (eds): Genetic Epidemiology. New York: Academic Press.Google Scholar
24. Rao, DC, Morton, NE, Cloninger, CR (1979): Path analysis under generalized assortative mating. I. Theory. Genet Res 33:175188.CrossRefGoogle ScholarPubMed
25. Rao, DC, Morton, NE, Lalouel, JM, Lew, R (1982): Path analysis under generalized assortative mating. II. American IQ. Genet Res 39:187198.CrossRefGoogle Scholar
26. Rao, DC, Morton, NE, Yee, S (1976): Resolution of cultural and biological inheritance by path analysis. Am J Hum Genet 23:228242.Google Scholar
27. Rice, J, Cloninger, CR, Reich, T (1978): Multifactorial inheritance with cultural transmission and assortative mating. I. Description and basic properties of the unitary models. Am J Hum Genet 30:618643.Google ScholarPubMed
28. Schull, WJ, Neel, JV (1965): The Effects of Inbreeding on Japanese Children. New York:Harper & Rowe.Google Scholar
29. Urbach, P (1974): Progress and degeneration in the IQ Debate I, II. Br J Phil Sci 25:99–135, 235259.10.1093/bjps/25.3.235CrossRefGoogle Scholar
30. Williams, JS, Iyer, H (1981): A statistical model and analysis for genetic and environmental effects in responses from twin-family studies. Acta Genet Med Gemellol 30:938.Google ScholarPubMed
31. Wright, S (1931): Statistical methods in biology. J Amer Statist Assoc 26 (Supplement): 201208.CrossRefGoogle Scholar