Many common human diseases have a genetic component as measured by familial studies. Metabolic disorders such as diabetes, cardiovascular diseases such as high blood pressure, psychiatric disorders such as schizophrenia, and neurodegenerative diseases such as Alzheimer’s disease all are thought to have a hereditary component. In some diseases the genetic control is through a single gene, while in others, multiple genes interact in complex ways with environmental factors to produce the disease (1–5).
Affiliation(s): (1) Department of Mathematics, Keele University, Keele, Staffordshire, UK
(2) GlaxoSmithKline, Research Triangle Park, NC
(2) GlaxoSmithKline, Research Triangle Park, NC
Book Title: Biostatistical Methods
Series: Methods in Molecular Biology | Volume: 184 | Pub. Date: Dec-01-2001 | Page Range: 143-168 | DOI: 10.1385/1-59259-242-2:143
|1.||Bevan, S., Popat, S., and Houlston, R. S. (1999) Relative power of linkage and transmission disequilibrium test strategies
to detect non-HLA linked coeliac disease susceptibility genes Gut
|2.||Barnes, K. C. (1999) Gene-environment and gene-gene interaction studies in the molecular genetic analysis of asthma and atopy.
Clin. Exp. Allergy
29 (Suppl 4), 47–51.
|3.||El-Gabalawy, H. S., Goldbach-Mansky, R., Smith, D., Arayssi, T., Bale, S., Gulko, P., et al. (1999) Association of HLA alleles and clinical features in patients with synovitis of recent onset. Arthrit. Rheum. 42, 1696–1705.|
|4.||Tomer, Y., Barbesino, G., Greenberg, D. A., Concepcion, E., and Davies, T. F. (1999) Mapping the major susceptibility loci
for familial Graves’ and Hashimoto’s diseases: evidence for genetic heterogeneity and gene interactions. J. Clin. Endocrinol. Metab.
|5.||Wicker, L. S., Todd, J. A., and Peterson, L. B. (1995) Genetic control of autoimmune diabetes in the nod mouse. Annu. Rev. Immunol.
|6.||Bodmer, W. F. (1986) Human genetics: the molecular challenge. Cold Spring Harbor Symp. Quant. Biol.
|7.||Hagmann, M. (1999) A good SNP may be hard to find. Science
|8.||Sasieni, P. D. (1997) From genotypes to genes: doubling the sample size. Biometrics
|9.||Chiano M. N. and Clayton D. G. (1998) Fine genetic mapping using haplotype analysis and the missing data problem. Ann. Hum. Genet.
|10.||Miller, R. C. (1981) Simultaneous Statistical Inference, 2nd edit. Springer-Verlag, New York.|
|11.||Smouse, P. E. and Williams, R. C. (1982) Multivariate analysis of HLA-disease association. Biometrics
|12.||Lander, E. and Kruglyak, L. (1995) Genetic dissection of complex traits: guidelines for interpreting and reporting linkage
results. Nat. Genet.
|13.||Zaykin, D. V., Zhivotovsky, L. A., Weir B. S., and Westfall, P. H. (2000) Truncated product method for combining p-values. Unpublished manuscript.|
|14.||Weller, J. I., Song, J. Z., Heyen, D. W., Lewin, H. A., and Ron, M. (1998) A new approach to the problem of multiple comparisons
in the genetic dissection of complex traits. Genetics
|15.||Benjamini, Y. and Hochberg, Y. (1995) Controlling the false discovery rate—a practical and powerful approach to multiple testing. JRSS-B 57, 289–300.|
|16.||Zaykin, D. V., Young, S. S., and Westfall, P. H. (2000) Using the false discovery rate approach to the genetic dissection
of complex traits: a response to Weller et al. Genetics
|17.||Marcus, R., Peritz, E., and Gabriel, K. R. (1976) On closed testing procedures with special reference to ordered analysis of variance. Biometrika 63, 655–660.|
|18.||Churchill, G. A. and Doerge, R. W. (1994) Empirical threshold values for quantitative trait mapping. Genetics
|19.||Doerge, R. W. and Churchill, G. A. (1996) Permutation tests for multiple loci affecting a quantitative character. Genetics
|20.||Westfall, P. H. and Wolfinger, R. D. (2000) Closed Multiple Testing Procedures and PROC MULTTEST. SAS Observations, http://www.sas.com/service/library/periodicals/obs/observations.html.|
|21.||Holm, S. (1979) A simple sequentially rejective multiple test procedure. Scand. J. Statist. 6, 65–70.|
|22.||Westfall, P. H. and Wolfinger, R. D. (1997) Multiple tests with discrete distributions. Am. Stat. 51, 3–8.|
|23.||Westfall, P. H. and Young, S.S. (1993) Resampling-Based Multiple Testing: Examples and Methods for p-Value Adjustment. John Wiley & Sons, New York.|
|24.||SAS Institute Inc. (1999) SAS OnlineDoc®, Version 8, Cary, NC: SAS Institute Inc.|
|25.||Simes, R. J. (1986) An improved Bonferroni procedure for multiple tests of significance. Biometrika 73, 751–754.|
|26.||Hommel, G. (1988) A stagewise rejective multiple test procedure based on a modified Bonferroni test. Biometrika 75, 383–386.|
|27.||Wright, S. P. (1992) Adjusted p-values for simultaneous inference. Biometrics 48, 1005–1014.|
|28.||Grechanovsky, E. and Hochberg, Y. (1999) Closed procedures are better and often admit a shortcut. J. Stat. Plan. Infer. 76, 79–91.|
|29.||Sarkar, S. (1998) Some probability inequalities for ordered MTP2 random variables: a proof of the Simes conjecture. Ann. Statist. 26, 494–504.|
|30.||Sarkar, S. and Chang, C. K. (1997) Simes’ method for multiple hypothesis testing with positively dependent test statistics. JASA 92, 1601–1608.|
|31.||Krummenauer, F. and Hommel, G. (1999) The size of Simes’ global test for discrete test statistics. J. Stat. Plan. Infer. 82, 151–162.|
|32.||Dunnett, C. W. and Tamhane, A. C. (1993) Power comparisons of some step-up multiple test procedures. Statist. Prob. Lett. 16, 55–58.|
|33.||Dunnett, C. W. and Tamhane, A. C. (1995) Step-up multiple testing of parameters with unequally correlated estimates. Biometrics
|34.||Fisher, R. A. (1932) Statistical Methods for Research Workers. Oliver and Boyd, London.|
|35.||Pesarin, F. (1999) Permutation Testing of Multidimensional Hypotheses by Non-parametric Combination of Dependent Tests. CLEUP University Publisher, Padova.|
|36.||Weir, B. S. (1996) Genetic Data Analysis II. Sinauer Associates, Sunderland, MA.|
|37.||Martin, E. R., Lai, E. H., Gilbert, J. R., Rogala, A. R., Afshari, A. J., Riley, J., et al. (2000.) SNPing away at complex diseases: analysis of single-nucleotide polymorphisms around APOE in Alzheimer disease. Am. J. Hum. Genetics 67, 383–394.|
|38.||Cochran, W. (1954) Some methods for strengthening the common χ2 tests. Biometrics 10, 417–451.|
|39.||Armitage, P. (1955) Tests for linear trend in proportions and frequencies. Biometrics 11, 375–386.|
|40.||Westfall, P. H., Young, S. S., and Lin, D. K. J. (1997) Forward selection error control in the analysis of supersaturated designs. Statist. Sinica 8, 101–117.|
|41.||Mehta, C. and Patel, N. (1998) StatXact: statistical software for exact non-parametric inference. CYTEL Software, Cambridge, MA.|
|42.||Beran, R. (1988) Balanced simultaneous confidence sets. JASA 83, 679–686.|
|43.||Beran, R. (1988) Prepivoting test statistics: a bootstrap view of asymptotic refinements. JASA 83, 687–697.|
|44.||Tu, W. and Zhou, X. H. (2000) Pairwise comparisons of the means of skewed data. J. Stat. Plan. Infer. 88, 59–74.|
|45.||Golub, T. R., Slonim, D. K., Tamayo, P., Huard, C., Gaasenbeek, M., Mesirov, J. P., et al. (1999) Molecular classification
of cancer: class discovery and class prediction by gene expression monitoring. Science
|46.||Johnson, R. A. and Wichern, D. W. (1998) Applied Multivariate Statistical Analysis, 4th edit. Prentice Hall, Englewood Cliffs, NJ.|
|47.||Conover, W. J. and Iman, R. L. (1981) Rank transformation as a bridge between parametric and nonparametric statistics. Am. Statist. 35, 124–129.|
Copyright © 2008 Springer Science+Business Media, LLC. All rights reserved
Powered by MPS Technologies
Remote Address: 184.108.40.206 , Server: ewrbspd4