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Table 1 Maximum likelihood estimates of the parameters describing the clonal expansion, each corresponding to a QTL, and marker allele frequency, QTL allele frequency and marker-QTL linkage disequilibrium with 8 time points. Numbers in parentheses are the sampling errors of the estimates

From: A statistical model for the identification of genes governing the incidence of cancer with age

  

n = 200

n = 400

Para-meters

True value

H2 = 0.1

H2 = 0.4

H2 = 0.1

H2 = 0.4

P

0.5

0.48(0.023)

0.49(0.021)

0.49(0.014)

0.50(0.012)

Q

0.6

0.62(0.014)

0.61(0.011)

0.61(0.011)

0.60(0.010)

D

0.08

0.074(0.0067)

0.075(0.003)

0.079(0.004)

0.079(0.004)

K 2 ( 1 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaem4saS0aa0baaSqaaiabikdaYaqaaiabcIcaOiabigdaXiabcMcaPaaaaaa@30B5@

100

102.50(0.452)

102.31(0.449)

101.65(0.450)

100.59(0.441)

r 2 ( 1 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemOCai3aa0baaSqaaiabikdaYaqaaiabcIcaOiabigdaXiabcMcaPaaaaaa@3103@

0.1

0.097(0.00069)

0.097(0.00062)

0.098(0.00061)

0.099(0.00012)

K 2 ( 2 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaem4saS0aa0baaSqaaiabikdaYaqaaiabcIcaOiabikdaYiabcMcaPaaaaaa@30B7@

110

108.56(0.492)

109.20(0.481)

109.98(0.486)

110.25(0.479)

r 2 ( 2 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemOCai3aa0baaSqaaiabikdaYaqaaiabcIcaOiabikdaYiabcMcaPaaaaaa@3105@

0.15

0.147(0.0011)

0.147(0.0011)

0.149(0.0010)

0.150(0.0007)

K 1 ( 1 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaem4saS0aa0baaSqaaiabigdaXaqaaiabcIcaOiabigdaXiabcMcaPaaaaaa@30B3@

150

152.89(0.865)

152.35(0.862)

151.72(0.862)

150.06(0.858)

r 1 ( 1 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemOCai3aa0baaSqaaiabigdaXaqaaiabcIcaOiabigdaXiabcMcaPaaaaaa@3101@

0.2

0.209(0.0015)

0.21(0.0014)

0.21(0.0014)

0.20(0.0011)

K 1 ( 2 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaem4saS0aa0baaSqaaiabigdaXaqaaiabcIcaOiabikdaYiabcMcaPaaaaaa@30B5@

160

163.09(0.106)

162.52(0.105)

161.08(0.102)

160.32(0.098)

r 1 ( 2 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemOCai3aa0baaSqaaiabigdaXaqaaiabcIcaOiabikdaYiabcMcaPaaaaaa@3103@

0.25

0.244(0.0016)

0.244(0.0016)

0.248(0.0012)

0.250(0.0011)

K 0 ( 1 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaem4saS0aa0baaSqaaiabicdaWaqaaiabcIcaOiabigdaXiabcMcaPaaaaaa@30B1@

200

198.26(0.756)

199.63(0.752)

199.90(0.743)

200.03(0.735)

r 0 ( 1 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemOCai3aa0baaSqaaiabicdaWaqaaiabcIcaOiabigdaXiabcMcaPaaaaaa@30FF@

0.25

0.247(0.0053)

0.248(0.0050)

0.248(0.0051)

0.249(0.0046)

K 0 ( 2 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaem4saS0aa0baaSqaaiabicdaWaqaaiabcIcaOiabikdaYiabcMcaPaaaaaa@30B3@

210

209.56(0.685)

209.79(0.682)

209.98(0.681)

210.22(0.668)

r 0 ( 2 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemOCai3aa0baaSqaaiabicdaWaqaaiabcIcaOiabikdaYiabcMcaPaaaaaa@3101@

0.30

0.311(0.002)

0.311(0.001)

0.308(0.001)

0.302(0.0008)

ρ 1

0.60

0.61(0.0078)

0.61(0.0076)

0.61(0.0071)

0.61(0.0070)

ρ 2

0.60

0.593(0.0022)

0.595(0.0021)

0.595(0.0021)

0.598(0.0020)

σ 1

1.31

1.322(0.0052)

 

1.319(0.0045)

 
 

0.538

 

0.539(0.0026)

 

0.538(0.0019)

σ 2

1.31

1.322(0.0072)

 

1.320(0.0056)

 
 

0.53

 

0.53(0.0018)

 

0.53(0.0011)