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Table 1 Four models compared in the three likelihood-ratio tests

From: Identifying single-nucleotide polymorphisms responsible for the linkage signal of rheumatoid arthritis on chromosome 6 by joint modeling of linkage and association

Modela

 

Likelihood

d.f.

Parametersb

LR tests

(1)

BM

L(θ = 1 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaiabigdaXaqaaiabikdaYaaaaaa@2E9E@ , r2 = 0)

1

p A

 

(2)

LE

L(θ = 0, r2= 0)

4

p A , p D , f DD , f Dd , f dd

(2) vs. (1): test for linkage

(3)

GM

L(θ = 0, 0 <r2 < 1)

5

p DA , p Da , P dA , f DD , f Dd , f dd

(3) vs. (2): test for association in the presence of linkage

(4)

LD

L(θ = 0, r2 = 1)

3

p A , f DD , f Dd , f dd

(3) vs. (4): test for other linked variants

  1. aBM, base model; LE, linkage equilibrium; GM, general model; LD, linkage disequilibrium.
  2. bP A = marker allele frequency; P D = disease allele frequency; f g = P(affected | g), g {DD, Dd, dd}; p DA , p Da , p dA are the marker-disease haplotype frequencies.