Hypothesis testing in comparative and experimental studies of function-valued traits

Evolution

Volumn 62, Issue 5, 2008, Pages 1229-1242

  Griswold, Cortland K ^a,c   Gomulkiewicz, Richard ^a   Heckman, Nancy ^b  

^a WASHINGTON STATE UNIVERSITY   (United States)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^c The University of Arizona   (United States)

Author keywords

Functional data analysis; Multivariate analysis; Phenotype; Power; Repeated measures ANOVA; Repeated measures regression

Indexed keywords

COMPARATIVE STUDY; DATA ACQUISITION; DATA SET; EXPERIMENTAL STUDY; GENE EXPRESSION; MEASUREMENT METHOD; MULTIVARIATE ANALYSIS; PHENOTYPE; PHYSIOLOGY; REGRESSION ANALYSIS;

ANALYSIS OF VARIANCE; ANIMAL; ARTICLE; BIOLOGICAL MODEL; EVOLUTION; NONPARAMETRIC TEST; QUANTITATIVE TRAIT; STATISTICAL MODEL;

ANALYSIS OF VARIANCE; ANIMALS; EVOLUTION; MODELS, BIOLOGICAL; MODELS, STATISTICAL; QUANTITATIVE TRAIT, HERITABLE; STATISTICS, NONPARAMETRIC;

EID: 43049083685     PISSN: 00143820     EISSN: 15585646     Source Type: Journal    
DOI: 10.1111/j.1558-5646.2008.00340.x     Document Type: Article

References (40)

1. Abramowitz, M., and I. A. Stegun. 1964. Handbook of mathematical functions. Dover, New York.
2. Akaike, H. 1976. An information criterion (AIC). Math. Sci. 14 : 5 9.
3. Badyaev, A. V., G. E. Hill, and L. A. Whittingham. 2001. The evolution of sexual size dimorphism in the house finch. IV. Population divergence in ontogeny. Evolution 55 : 2534 2549.
4. Burnham, K. P., and D. R. Anderson. 1998. Model selection and inference, a practical information-theoretic approach. Springer, New York.
5. Clarkson, D. B., C. Fraley, C. C. Gu, and J. O. Ramsay. 2005. S+ functional data analysis: user's manual for windows. Springer, New York.
6. De Boor, C. 1978. A practical guide to splines. Springer-Verlag, New York.
7. Diggle, P., K. Y. Liang, and S. L. Zeger. 2002. Analysis of longitudinal data. Oxford Univ. Press, New York.
8. Dudycha J. L., and M. Lynch. 2005. Conserved ontogeny and allometric scaling of resource acquisition and allocation in the Daphniidae. Evolution 59 : 565 576.
9. Gilchrist, G. W., and R. B. Huey. 2004. Plastic and genetic variation in wing loading as a function of temperature within and among parallel clines in Drosophila subobscura. Integr. Comp. Biol. 44 : 461 470.
10. Gomulkiewicz, R., and J. G. Kingsolver. 2007. A fable of four functions: function-valued approaches in evolutionary biology. J. Evol. Biol. 20 : 20 21.
11. Hill, W. G. 1998. Inferences from evolutionary biology to livestock breeding. Proc. Sixth World Congress on Genetics Applied to Livestock Production 23 : 32 39.
12. Izem R., and J. G. Kingsolver. 2005. Variation in continuous reaction norms: quantifying directions of biological interest. Am. Nat. 166 : 277 289.
13. Johnson, R. A., and D. W. Wichern. 1988. Applied multivariate statistical analysis. Prentice Hall, Englewood Cliffs, NJ.
14. Kingsolver, J. C., R. Gomulkiewicz, and P. A. Carter. 2001. Variation, selection and evolution of function-valued traits. Genetica 112-113 : 87 104.
15. Kingsolver, J. G., R. Izem, and G. Ragland. 2004. Plasiticity of size and growth in fluctuating thermal environments: comparing reaction norms and performance curves. Integr. Comp. Biol. 44 : 450 460.
16. Kirkpatrick, M. and N. Heckman. 1989. A quantitative genetic model for growth, shape and other infinite-dimensional characters. J. Math. Biol. 27 : 429 450.
17. Kirkpatrick, M., D. Lofsvold, and M. Bulmer. 1990. Analysis of inheritance, selection and evolution of growth trajectories. Genetics 124 : 979 993.
18. Laird, N. M., and J. H. Ware. 1982. Random-effects models for longitudinal data. Biometrics 38 : 963 974.
19. Lande, R. 1979. Quantitative genetic analysis of multivariate evolution, applied to brain:body size allometry. Evolution 33 : 402 416.
20. Lande, R. 1980. The genetic covariance between characters maintained by pleiotropic mutations. Genetics 94 : 203 215.
21. Lande, R., and S. J. Arnold. 1983. The measurement of selection on correlated characters. Evolution 37 : 1210 1226.
22. Leng, X., and H. G. Müller. 2006. Classification using functional data analysis for temporal gene expression data. Bioinformatics 22 : 68 76.
23. Liu C., and D. B. Rubin. 1994. The ECME algorithm: a simple extension of EM and ECM with faster monotone convergence. Biometrika 81 : 633 648.
24. McCarroll, S. A., C. T. Murphy, S. Zou, S. D. Pletcher, C. S. Chin, Y. N. Jan, C. Kenyon, C. I. Bargmann, and H. Li. 2004. Comparing genomic expression patterns across species identifies shared transcriptional profile in aging. Nat. Genet. 36 : 197 204.
25. Meyer, K., and W. G. Hill. 1997. Estimation of genetic and phenotypic covariances for longitudinal or repeated records by restricted maximum likelihood. Livestock Product. Sci. 47 : 185 200.
26. Meyer, K., and M. Kirkpatrick. 2005. Up hill, down dale: quantitative genetics of curvaceous traits. Philos. Trans. R. Soc. Lond. B 360 : 1442 1455.
27. Milliken, G. A., and D. E. Johnson. 1984. Analysis of messy data Vol 1: designed experiments. Lifetime Learning, Belmont.
28. Müller, H. G., and Y. Zhang. 2005. Time-varying functional regression for predicting remaining lifetime distributions from longitudinal trajectories. Biometrics 61 : 1064 1075.
29. Pletcher, S. D., and C. J. Geyer. 1999. The genetic analysis of age-dependent traits: modeling the character process. Genetics 153 : 825 835.
30. Pletcher S. D., D. Houle, and J. W. Curtsinger. 1998. Age-specific properties of spontaneous mutations affecting mortality in Drosophila melanogaster. Genetics 148 : 287 304.
31. R Development Core Team. 2007. R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna.
32. Ramsay, J. O., and B. W. Silverman. 2002. Applied functional data analysis: methods and case studies. Springer, New York.
33. Ramsay, J. O., and B. W. Silverman. 2005. Functional data analysis. Springer, New York.
34. Searle, S. R., G. Casella, and C. E. McCulloch. 1992. Variance components. John Wiley & Sons, New York.
35. Storey, J. D., W. Xiao, J. T. Leek, R. G. Tompkins, and R. W. Davis. 2005. Significance analysis of time course microarray experiments. Proc. Natl. Acad. Sci. USA 102 : 12837 12842.
36. Via, S. and R. Lande. 1985. Genotype-environment interaction and the evolution of phenotypic plasticity. Evolution 39 : 505 522.
37. Winsor, C. P. 1932. The Gompertz curve as a growth curve. Proc. Natl. Acad. Sci. USA 18 : 1 8.
38. Wolfram, S. 2005. The Mathematica book, 5th edn. Wolfram Media, Champaign, IL.
39. Wu, R. L. and M. Lin. 2006. Functional mapping - how to study the genetic architecture of dynamic complex traits. Nat. Rev. Genet. 7 : 229 237.
40. Zhang, H. and X. Zhong. 2006. Linkage analysis of longitudinal data and design consideration. BMC Genetics 7 : 37.