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Table 2 Parameter choices for the simulation scenarios

From: An evaluation of methods correcting for cell-type heterogeneity in DNA methylation studies

 

Simulation scenario

(μ 1,μ 2)

(σ 1,σ 2)

σ jk

ρ

α (0)

α (1)α (0) a

1

Distinct differences

(−0.05,0.5)

(0.05, 0.75)

Unif(0.1, 2)

100

\(\left [\begin {array}{c} 0.57 \\[-5pt] 0.43 \end {array}\right ]\)

\(\left [\begin {array}{r}0.08 \\[-5pt] -0.08\end {array}\right ] \)

2

No confounding

(0.25, 0.25)

(0.5, 0.5)

0.1

100

\(\left [\begin {array}{c} 0.57 \\[-5pt] 0.43 \end {array}\right ]\)

\(\left [\begin {array}{r}0.08 \\[-5pt] -0.08 \end {array}\right ]\)

3

Opposite effects

(−0.75,0.75)

(0.1, 0.1)

0.1

100

\(\left [\begin {array}{c}0.57 \\[-5pt] 0.43 \end {array}\right ]\)

\(\left [\begin {array}{r}0.08 \\[-5pt] -0.08 \end {array}\right ]\)

4

High precision

(0.3, 0.1)

(0.1, 0.1)

0.1

200

\(\left [\begin {array}{c}0.57 \\[-5pt] 0.43 \end {array}\right ]\)

\(\left [\begin {array}{r}0.08 \\[-5pt] -0.08 \end {array}\right ]\)

5

Low precision

(0.3, 0.1)

(0.1, 0.1)

0.1

10

\(\left [\begin {array}{c}0.57 \\[-5pt] 0.43 \end {array}\right ]\)

\(\left [\begin {array}{r}0.08 \\[-5pt] -0.08 \end {array}\right ]\)

6

Continuous phenotype

(−0.05,0.25)

(0.05, 0.15)

0.1

100

\(\left [\begin {array}{c}0.57 \\[-5pt] 0.43 \end {array}\right ]\)

\(\left [\begin {array}{r}0.03 \\[-5pt] -0.03 \end {array}\right ]\)

7

Few assoc. sites

(1, 0.95)

(0.05, 0.05)

Unif(0.1, 2)

100

\(\left [\begin {array}{c}0.57 \\[-5pt] 0.43 \end {array}\right ]\)

\(\left [\begin {array}{r}0.08 \\[-5pt] -0.08 \end {array}\right ]\)

8

Many assoc. sites block 1 b

(0.1,0.4)

(0.01, 0.01)

Unif(0.1, 2)

100

\(\left [\begin {array}{c}0.57 \\[-5pt] 0.43 \end {array}\right ]\)

\(\left [\begin {array}{r}0.08 \\[-5pt] -0.08 \end {array}\right ]\)

 

Many assoc. sites block 2 c

(0.2,0.7)

(0.01, 0.01)

Unif(0.1, 2)

100

\(\left [\begin {array}{c}0.57 \\[-5pt] 0.43 \end {array}\right ]\)

\(\left [\begin {array}{r}0.08 \\[-5pt] -0.08 \end {array}\right ]\)

  1. k=1 corresponds to monocytes, and k=2 corresponds to CD4 + T cells
  2. aAverage change in cell-type proportion for unit increase in phenotype
  3. bBackground correlation for block 1 was 0.4
  4. cBackground correlation for block 2 was 0.5