Statistical modelling of brain morphological measures within family pedigrees

Statistica Sinica

Volumn 18, Issue 4, 2008, Pages 1569-1591

  Zhu, Hongtu ^a,d   Li, Yimei ^a,d   Tang, Niansheng ^b   Bansal, Ravi ^c   Hao, Xuejun ^c   Weissman, Myrna M ^c   Peterson, Bradley S ^c  

^a UNIVERSITY OF NORTH CAROLINA AT GREENSBORO   (United States)

^b YUNNAN UNIVERSITY   (China)

^c Och Spine at New York Presbyterian Hospitals   (United States)

^d IL   (United States)

Author keywords

Cortical thickness; Linear hypothesis; Morphology; Resampling method; Variance components model

Indexed keywords

EID: 60149094316     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (51)

1. Almasy, L. and Blangero, J. (1998). Multipoint quantitative-trait linkage analysis in general pedigrees. Am. J. Hum. Genet. 62, 1198-1211.
2. Amos, C. I. (1994). Robust variance-components approaches for assessing genetic linkage in pedigree. Am. J. Hum. Genet. 54, 535-543.
3. Amos, C. I. and de Andrade, M. (2001). Genetic linkage methods for quantitative traits. Statist. Meth. Medical Res. 10, 3-25.
4. Amos, C. I., Zhu, D. and Boerwinkle, E. (1996). Assessing genetic linkage and association with robust components of variance approaches. Ann. Human Genetics 60, 143-160.
5. Andrews, D. W. K. (1999). Estimation when a parameter is on a boundary: theory and applications. Econometrica 67, 1341-383.
6. Ashburner, J. and Friston, K. J. (2000). Voxel-based morphometry: the methods. NeuroImage 11, 805-821.
7. Bansal, R., Staib, L. H., Whiterman, R., Wang, Y. M. and Peterson, B. (2005). Roc-based assessments of 3D cortical surface-matching algorithms. NeuroImage 24, 150-162.
8. Christensen, G. E., Rabbitt, R. D. and Miller, M. I. (1994). 3D brain mapping using a deformable neuroanatomy. Phys. Med. Biol. 39, 609-618.
9. Chung, M. K., Dalton, K. M., Evans, A. C. and Davidson, R. J. (2007). Tensor-based cortical surface morphometry via weighted spherical harmonic representation. IEEE Trans. Med. Imaging (in press).
10. Chung, M. K., Robbins, S., Dalton, K. M., Davidson, R. J., Alexander, A. L. and Evans, A. C. (2005). Cortical thickness analysis in autism via heat kernel smoothing. NeuroImage 25, 1256-1265.
11. Csapo, I., Holland, C. M. and Guttmann, C. R. G. (2007). Image registration framework for large-scale longitudinal MRI data sets: strategy and validation. Magnetic Resonance maging 25, 889-893.
12. Dudoit, S., Shaffer, J. P. and Boldrick, J. C. (2003). Multiple hypothesis testing in microarray experiments. Statist. Sci. 18, 71-103.
13. Duncan, C. T. (2004). Statistical Methods in Genetic Epidemiology. Oxford University Press, New York.
14. Efron, B. and Tibshirani, R. J. (1993). An Introduction to the Bootstrap. Chapman and Hall, London.
15. Evans, A. C. and Brain Development Cooperative Group. (2006). The NIH MRI study of normal brain development. NeuroImage 30, 184-202.
16. Fisher, R. A. (1918). The correlation between relatives on the supposition of Mendelian inheritance. Trans. R. Soc. Edin. 52, 399-433.
17. Friston, K. J., Holmes, A. P., Worsley, K. J., Poline, J. P., Frith, C. D. and Frackowiak, R. S. J. (1995). Statistical parametric maps in functional imaging: a general linear approach. Human Brain Mapping 2, 189-210.
18. Friston, K. J., Worsley, K. J., Frackowiak, R. S. J., Mazziotta, J. C. and Evans, A. C. (1994). Assessing the significance of focal activations using their spatial extent. Human Brain Mapping 1, 210-220.
19. Hayasaka, S., Phan, L. K., Liberzon, I., Worsley, K. J. and Nichols, T. E. (2004). Nonstationary cluster-size inference with random field and permutation methods. NeuroImage 22, 676-687.
20. Jennrich, R. I. and Schluchter, M. D. (1986). Unbalanced repeated-measures models with structured covariance matrices. Biometrics 42, 805-820.
21. Kosorok, M. R. (2003). Bootstraps of sums of independent but not identically distributed stochastic processes. J. Multivariate Anal. 84, 299-318.
22. Laird, N. M. and Ware, J. H. (1982). Random-effects models for longitudinal data. Biometrics 38, 963-974.
23. Lehmann, E. L. and Romano, J. P. (2005). Testing Statistical Hypotheses (3rd). Springer, New York.
24. Lin, D. Y. (2005). An efficient Monte Carlo approach to assessing statistical significance in genomic studies. Bioinformatics 6, 781-787.
25. Lindstrom, M. J. and Bates, D. M. (1988). Newton-Raphson and EM algorithms for linear mixed-effects models for repeated-measures data. J. Amer. Statist. Assoc. 83, 1014-1022.
26. Liu, R. Y. (1988). Bootstrap procedure under some non-i.i.d. models. Ann. Statist. 16, 1696-1708.
27. Lohmann, G., Preul, C. and Hund-Georgiadis, M. (2003). Morphology-based cortical thickness estimation. Lecture Notes in Comput. Sci. 2732, 89-100.
28. Mechelli, A., Price, C. J., Friston, K. J. and Ashburner, J. (2005). Voxel-based morphometry of the human brain: methods and applications. Current Medical Imaging Reviews 1, 105-113.
29. Narr, K. L., Cannon, T. D., Woods, R. P., Thompson, P. M., Kim, S., Asunction, D., van Erp, T. G., Poutanen, V. P., Huttunen, M., Lonnqvist, J., Standerksjold-Nordenstam, C. G., Kaprio, J., Mazziotta, J. C. and Toga, A. W. (2002). Genetic contribution to altered callosal morphology in schizophrenia. Journal of Neuroscience 22, 3720-3729.
30. Nichols, T. and Hayasaka, S. (2003). Controlling the family-wise error rate in functional neuroimaging: A comparative review. Statist. Meth. Medical Res. 12, 419-446.
31. Nichols, T. and Holmes, A. P. (2002). Nonparametric permutation tests for functional neuroimaging: a primer with examples. Human Brain Mapping 15, 1-25.
32. Pelssen, K. J., Bansal, R., Zhu, H. T., Whiteman, R., Amat, J., Quackenbusch, G., Martin, L., Durkin, K., Blair, C., Royal, J., Hugdahl, K. and Peterson, B. (2006). Hippocampus and Amydala morphology in attention-deficit/ hyperactivity disorder. Arch. Gen. Psychiatry 63, 795-807.
33. Plomin, R. and Kosslyn, S. M. (2001). Genes, brain and cognition. Nature Neuroscience 4, 1153-1154.
34. Sowell, E. R., Peterson, B. S., Thompson, P. M., Welcome, S. E., Henkenius, A. L. and Toga, A. W. (2003). Mapping cortical change across the human life span. Nature Neurosci 6, 309-315.
35. Styner, M., Lieberman, J. A., McClure, R. K., Weinberger, D. R., Jones, D. W. and Gerig, G. (2005). Morphometric analysis of lateral ventricles in schizophrenia and healthy controls regarding genetic and disease-specific factors. Proc. Natl. Acad. Sci. USA 102, 4872-4677.
36. Thompson, P. M., Cannon, T. D., Narr, K. L., van Erp, T., Poutanen, V., Huttunen, M., Lonnqvist, J., Standertskjold-Nordenstam, C. G., Kaprio, J., Khaledy, M., Dail, R., Zoumalan, C. I. and Toga, A. (2001). Genetic influences on brain structure. Nature Neuroscience 4, 1253-1358.
37. Thompson, P. M., Cannon, T. D. and Toga, A. W. (2002). Mapping genetic influences on human brain structure. Ann. Med. 24, 523-536.
38. Thompson, P. M. and Toga, A. W. (2002). A framework for computational anatomy. Comput. Visual 5, 13-34.
39. Thompson, P. M., Woods, R. P., Mega, M. S. and Toga, A. W. (2000). Mathematical/computational challenges in creating population-based brain atlases. Human Brain Mapping 9, 81-92.
40. van der Vaart, A. W. (1998). Asymptotic Statistics. Cambridge University, London.
41. van der Vaart, A. W. and Wellner, J. A. (1996). Weak Convergence and Empirical Processes With Applications to Statistics. Springer, New York.
42. Viola, P. and Wells, W. M. (1995). Alignment by maximization of mutual information. Fifth Int. Conf. on Computer Vision.
43. Weissman, M. M., Wickramaratne, P., Nomura, Y., Warner, V., Pilowsky, D. J. and Verdeli, H. (2006). Offspring of depressed parents: 20 years later. Amer. J. Psychiatry 163, 1001-1008.
44. Weissman, M. M., Wickramaratne, P., Nomura, Y., Warner, V., Verdeli, H., Pilowsky, D. J., Grillon, C. and Bruder. G. (2005). Families at high and low risk for depression: a 3-generation study. Arch. Gen. Psychiatry 62, 29-36.
45. Worsley, K. J., Marrett, S., Neelin, P., Vandal, A. C., Friston, K. J. and Evans, A. C. (1996). A unified statistical approach for determining significant signals in images of cerebral activation. Human Brain Mapping 4, 58-73.
46. Worsley, K. J., Taylor, J. E., Tomaiuolo, F. and Lerch, J. (2004). Unified univariate and multivariate random field theory. NeuroImage 23, 189-195.
47. Wright, I. C., Sham, P., Murray, R. M., Weinberger, D. R. and Bullmore, E. T. (2002). Genetic contributions to regional variability in human brain structure: methods and preliminary results. NeuroImage 17, 256-271.
48. Zhang, H. P, Feng, R. and Zhu, H. T. (2003). A latent variable model of segregation analysis for ordinal outcome. J. Amer. Statist. Assoc. 98, 1023-1034.
49. Zhu, H. T., Ibrahim, J. G., Tang, N., Rowe, D. B., Hao, X., Bansal, R. and Peterson, B. S. (2007). A statistical analysis of brain morphology using wild bootstrapping. IEEE Transaction on Medical Imaging 26, 954-966.
50. Zhu, H. T. and Zhang, H. P. (2004). Hypothesis testing in mixture regression models. J. Roy. Statist. Soc. Ser. B 66, 3-16.
51. Zhu, H. T. and Zhang, H. P. (2006). Generalized score test of homogeneity for mixed effects models. Ann. Statist. 34, 1545-1569.