Skip to main content

Table 1 Comparison among the hyper-parameter estimators

From: Bayesian DNA copy number analysis

 

σ2 = 0.1

σ2 = 0.3

σ2 = 0.5

σ2 = 0.5

σ2 = 0.5

σ2 = 0.7

σ2 = 1

σ2 = 1.2

 

ρ2 = 0.5

ρ2 = 0.05

ρ2 = 0.02

ρ2 = 0.05

ρ2 = 0.1

ρ2 = 0.5

ρ2 = 0.05

ρ2 = 0.5

MSE ν ^ MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeeyta0Kaee4uamLaeeyrau0aaSbaaSqaaiqbe27aUzaajaaabeaaaaa@3128@

0.0904

0.0091

0.0059

0.0094

0.021

0.067

0.0169

0.0729

MSE σ ^ 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeeyta0Kaee4uamLaeeyrau0aaSbaaSqaaiqbeo8aZzaajaWaaWbaaWqabeaacqaIYaGmaaaaleqaaaaa@325E@

0.0042

0.0014

0.0041

0.0036

0.0037

0.0114

0.0123

0.0272

MSE ρ ^ 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeeyta0Kaee4uamLaeeyrau0aaSbaaSqaaiqbeg8aYzaajaWaaWbaaWqabeaacqaIYaGmaaaaleqaaaaa@325B@

0.0633

0.0871

0.2508

0.2404

0.2426

0.4271

0.9921

1.3254

MSE ρ ^ 1 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeeyta0Kaee4uamLaeeyrau0aaSbaaSqaaiqbeg8aYzaajaWaa0baaWqaaiabigdaXaqaaiabikdaYaaaaSqabaaaaa@334B@

0.068

0.0009

0.0008

0.0014

0.0047

0.0593

0.0024

0.0623

  1. The table shows the estimated mean square error of the estimators ν ^ MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafqyVd4MbaKaaaaa@2D9D@ , σ ^ 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafq4WdmNbaKaadaahaaWcbeqaaiabikdaYaaaaaa@2EC7@ , ρ ^ 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafqyWdiNbaKaadaahaaWcbeqaaiabikdaYaaaaaa@2EC4@ and ρ ^ 1 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafqyWdiNbaKaadaqhaaWcbaGaeGymaedabaGaeGOmaidaaaaa@2FB4@ applied to datasets without replicates, for different values of σ2 and ρ2. The table shows that MSE ν ^ MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeeyta0Kaee4uamLaeeyrau0aaSbaaSqaaiqbe27aUzaajaaabeaaaaa@3128@ increased with ρ2 and MSE σ ^ 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaeeyta0Kaee4uamLaeeyrau0aaSbaaSqaaiqbeo8aZzaajaWaaWbaaWqabeaacqaIYaGmaaaaleqaaaaa@325E@ increased with σ2. The estimator ρ ^ 1 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafqyWdiNbaKaadaqhaaWcbaGaeGymaedabaGaeGOmaidaaaaa@2FB4@ was generally more accurate than ρ ^ 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafqyWdiNbaKaadaahaaWcbeqaaiabikdaYaaaaaa@2EC4@ with respect to the MSE error measure.