Skip to main content

Basic Concepts of Linkage Analysis

  • Chapter
  • First Online:
Book cover The Fundamentals of Modern Statistical Genetics

Part of the book series: Statistics for Biology and Health ((SBH))

  • 8679 Accesses

Abstract

The goal of linkage analysis in human disease gene mapping is to assess whether an observed genetic marker locus is physically linked to the disease locus. This is equivalent to testing the null-hypothesis that the recombination fraction between the marker locus and the disease locus, θ, equals ½. In this case, we say the marker locus and the disease locus are unlinked. It is also possible to estimate θ, which can be used to provide an approximate idea of the location of the DSL relative to observed markers. In this chapter, we discuss the basic concepts of parametric linkage analysis. We explain how linkage between two genetic loci can be utilized to construct long-range mapping approaches that require only a small number of marker loci per chromosome to cover the entire human genome sufficiently. Using fully parameterized statistical models, parametric linkage describes the phenotype as a function of the genetic marker locus and its relative distance to the disease locus, i.e., the recombination fraction (Ott (1999)). The simplest case of parametric linkage analysis uses the method of direct counting, where θ can be estimated by directly counting recombinant and non-recombinant offspring haplotypes (Ott (1979)). Using the method of direct-counting, we outline the principles of parametric linkage analysis. Advanced topics such as non-parametric linkage analysis and multi-point analysis (Kruglyak et al. (1996)) are discussed in Appendix A. While the advanced topics that are included in Appendix A are necessary for a thorough grounding in linkage analysis, they are not required for an introduction to association analysis.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Bibliography

  • Altmueller J, Palmer L, Fischer G, Scherb H, Wjst M (2001) Genomewide scans of complex human diseases: true linkage is hard to find. The American Journal of Human Genetics 69(5):936–950

    Article  Google Scholar 

  • Clerget-Darpoux F, Bonaïti-Pellié C, Hochez J (1986) Effects of misspecifying genetic parameters in lod score analysis. Biometrics 42(2):393–399

    Article  Google Scholar 

  • Elston R (1998) Methods of linkage analysis – and the assumptions underlying them. The American Journal of Human Genetics 63(4):931–934

    Article  Google Scholar 

  • Kruglyak L, Lander E (1995) Complete multipoint sib-pair analysis of qualitative and quantitative traits. American Journal of Human Genetics 57(2):439

    Google Scholar 

  • Kruglyak L, Daly M, Reeve-Daly M, Lander E (1996) Parametric and nonparametric linkage analysis: a unified multipoint approach. American Journal of Human Genetics 58(6):1347

    Google Scholar 

  • Lander E, Green P (1987) Construction of multilocus genetic linkage maps in humans. Proceedings of the National Academy of Sciences of the United States of America 84:2363–2367

    Article  Google Scholar 

  • Morton N (1955) Sequential tests for the detection of linkage. American Journal of Human Genetics 7(3):277–318

    Google Scholar 

  • Ott J (1979) Maximum likelihood estimation by counting methods under polygenic and mixed models in human pedigrees. The American Journal of Human Genetics 31(2):161

    Google Scholar 

  • Ott J (1999) Analysis of Human Genetic Linkage. The Johns Hopkins University Press, Baltimore, MD

    Google Scholar 

  • Self S, Liang KL (1987) Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions. Journal of the American Statistical Association 82:605–610

    Article  MathSciNet  MATH  Google Scholar 

  • Sham P (1998) Statistics in Human Genetics. Oxford University Press, New York, NY

    MATH  Google Scholar 

  • Thomas D (2004) Statistical Methods in Genetic Epidemiology. Wiley, New York, NY

    MATH  Google Scholar 

  • Wald A (1947) Sequential Analysis. Wiley, New York, NY

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nan M. Laird .

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media. LLC

About this chapter

Cite this chapter

Laird, N.M., Lange, C. (2011). Basic Concepts of Linkage Analysis. In: The Fundamentals of Modern Statistical Genetics. Statistics for Biology and Health. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7338-2_6

Download citation

Publish with us

Policies and ethics