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. 2008 Nov;180(3):1743–1761. doi: 10.1534/genetics.108.091058

TABLE 1.

AIL: type I error, power, coverage, and average estimates

Mendel Full Mendel F10 Cartographer True value
Type I error 0.83–3.39 4.92–9.60 25.6–33.8 NA
Power 96 46 51 NA
Coverage 92 39 48 NA
Point 5
    η 3.9913 (0.2058) 3.9661 (0.2355) NA 4.000
    p1 0.6486 (0.1183) 0.3259 (0.0878) NA 0.667
    ɛ1 0.1910 (0.0487) 0.1759 (0.0764) 0.1869 0.200
    ɛ2 −0.1910 (0.0487) −0.1759 (0.0764) −0.1869 −0.200
    Inline graphic 1.0112 (0.1002) 1.1494 (0.1721) 0.9581 1.000
Point 6
    η 3.9998 (0.2059) 3.9465 (0.2344) NA 4.000
    p1 0.6492 (0.1176) 0.3370 (0.0967) NA 0.667
    ɛ1 0.1932 (0.0477) 0.1764 (0.0758) 0.1781 0.200
    ɛ2 −0.1932 (0.0477) −0.1764 (0.0758) −0.1781 −0.200
    Inline graphic 1.0092 (0.0998) 1.1458 (0.1746) 0.9606 1.000

Type I error rates, power, and coverage are percentages; estimates and standard errors are averages. Type I error rates are confidence intervals based on 500 simulations under the null hypothesis; other table entries are based on 100 simulations under the alternative hypothesis. We count successful coverage when the equivalent one-LOD drop (4.6 LRT units) interval around a significant map point includes the QTL. The QTL is located at the midpoint of points 5 and 6. Parameter p1 is the reduced-dimension polygenic background parameter; η, the grand mean; ɛi, the QTL effect on strain i; and Inline graphic, the residual covariance. The Mendel estimates have average standard errors in parentheses. NA, not applicable.