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. 1996 Jan;142(1):285–294. doi: 10.1093/genetics/142.1.285

Permutation Tests for Multiple Loci Affecting a Quantitative Character

R W Doerge 1, G A Churchill 1
PMCID: PMC1206957  PMID: 8770605

Abstract

The problem of detecting minor quantitative trait loci (QTL) responsible for genetic variation not explained by major QTL is of importance in the complete dissection of quantitative characters. Two extensions of the permutation-based method for estimating empirical threshold values are presented. These methods, the conditional empirical threshold (CET) and the residual empirical threshold (RET), yield critical values that can be used to construct tests for the presence of minor QTL effects while accounting for effects of known major QTL. The CET provides a completely nonparametric test through conditioning on markers linked to major QTL. It allows for general nonadditive interactions among QTL, but its practical application is restricted to regions of the genome that are unlinked to the major QTL. The RET assumes a structural model for the effect of major QTL, and a threshold is constructed using residuals from this structural model. The search space for minor QTL is unrestricted, and RET-based tests may be more powerful than the CET-based test when the structural model is approximately true.

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Selected References

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  1. Churchill G. A., Doerge R. W. Empirical threshold values for quantitative trait mapping. Genetics. 1994 Nov;138(3):963–971. doi: 10.1093/genetics/138.3.963. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Churchill G. A., Giovannoni J. J., Tanksley S. D. Pooled-sampling makes high-resolution mapping practical with DNA markers. Proc Natl Acad Sci U S A. 1993 Jan 1;90(1):16–20. doi: 10.1073/pnas.90.1.16. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Haley C. S., Knott S. A. A simple regression method for mapping quantitative trait loci in line crosses using flanking markers. Heredity (Edinb) 1992 Oct;69(4):315–324. doi: 10.1038/hdy.1992.131. [DOI] [PubMed] [Google Scholar]
  4. Jansen R. C. Controlling the type I and type II errors in mapping quantitative trait loci. Genetics. 1994 Nov;138(3):871–881. doi: 10.1093/genetics/138.3.871. [DOI] [PMC free article] [PubMed] [Google Scholar]
  5. Jansen R. C., Stam P. High resolution of quantitative traits into multiple loci via interval mapping. Genetics. 1994 Apr;136(4):1447–1455. doi: 10.1093/genetics/136.4.1447. [DOI] [PMC free article] [PubMed] [Google Scholar]
  6. Lander E. S., Botstein D. Mapping complex genetic traits in humans: new methods using a complete RFLP linkage map. Cold Spring Harb Symp Quant Biol. 1986;51(Pt 1):49–62. doi: 10.1101/sqb.1986.051.01.007. [DOI] [PubMed] [Google Scholar]
  7. Lincoln S. E., Lander E. S. Systematic detection of errors in genetic linkage data. Genomics. 1992 Nov;14(3):604–610. doi: 10.1016/s0888-7543(05)80158-2. [DOI] [PubMed] [Google Scholar]
  8. McMillan I., Robertson A. The power of methods for the detection of major genes affecting quantitative characters. Heredity (Edinb) 1974 Jun;32(3):349–356. doi: 10.1038/hdy.1974.43. [DOI] [PubMed] [Google Scholar]
  9. Paterson A. H., Lander E. S., Hewitt J. D., Peterson S., Lincoln S. E., Tanksley S. D. Resolution of quantitative traits into Mendelian factors by using a complete linkage map of restriction fragment length polymorphisms. Nature. 1988 Oct 20;335(6192):721–726. doi: 10.1038/335721a0. [DOI] [PubMed] [Google Scholar]
  10. Rebai A., Goffinet B., Mangin B. Comparing power of different methods for QTL detection. Biometrics. 1995 Mar;51(1):87–99. [PubMed] [Google Scholar]
  11. Rebaï A., Goffinet B., Mangin B. Approximate thresholds of interval mapping tests for QTL detection. Genetics. 1994 Sep;138(1):235–240. doi: 10.1093/genetics/138.1.235. [DOI] [PMC free article] [PubMed] [Google Scholar]
  12. Weller J. I. Maximum likelihood techniques for the mapping and analysis of quantitative trait loci with the aid of genetic markers. Biometrics. 1986 Sep;42(3):627–640. [PubMed] [Google Scholar]
  13. Zeng Z. B. Precision mapping of quantitative trait loci. Genetics. 1994 Apr;136(4):1457–1468. doi: 10.1093/genetics/136.4.1457. [DOI] [PMC free article] [PubMed] [Google Scholar]
  14. Zeng Z. B. Theoretical basis for separation of multiple linked gene effects in mapping quantitative trait loci. Proc Natl Acad Sci U S A. 1993 Dec 1;90(23):10972–10976. doi: 10.1073/pnas.90.23.10972. [DOI] [PMC free article] [PubMed] [Google Scholar]

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