BMC Bioinformatics

Table 1 Ordinary least squares.

From: The impact of measurement errors in the identification of regulatory networks

EM	n	β ₁	β ₂	β ₃	β ₄	β ₅	β ₆	β ₇	β ₈	β ₉
		0	-0.1	-0.2	-0.3	-0.4	0.5	0.6	0.7	0.8
0	50	0.00	-0.10	-0.20	-0.30	-0.40	0.50	0.60	0.70	0.80
	100	0.00	-0.10	-0.20	-0.30	-0.40	0.50	0.60	0.70	0.80
	200	0.00	-0.10	-0.20	-0.30	-0.40	0.50	0.60	0.70	0.80
	400	0.00	-0.10	-0.20	-0.30	-0.40	0.50	0.60	0.70	0.80
0.2	50	0.01 (0.00)	-0.09 (-0.11)	-0.18 (-0.20)	-0.28 (-0.30)	-0.37 (-0.41)	0.48 (0.50)	0.58 (0.61)	0.67 (0.71)	0.76 (0.81)
	100	0.01 (0.00)	-0.09 (-0.10)	-0.18 (-0.20)	-0.28 (-0.30)	-0.38 (-0.40)	0.48 (0.50)	0.58 (0.60)	0.67 (0.70)	0.77 (0.80)
	200	0.01 (0.00)	-0.09 (-0.10)	-0.19 (-0.20)	-0.28 (-0.30)	-0.38 (-0.40)	0.48 (0.50)	0.58 (0.60)	0.67 (0.70)	0.77 (0.80)
	400	0.01 (0.00)	-0.09 (-0.10)	-0.18 (-0.20)	-0.28 (-0.30)	-0.37 (-0.40)	0.48 (0.50)	0.58 (0.60)	0.67 (0.70)	0.77 (0.80)
0.4	50	-	-	-	-	-	-	-	-	-
	100	0.02 (0.00)	-0.07 (-0.11)	-0.15 (-0.21)	-0.23 (-0.31)	-0.31 (-0.42)	0.44 (0.51)	0.52 (0.62)	0.60 (0.72)	0.69 (0.82)
	200	0.02 (0.00)	-0.06 (-0.10)	-0.15 (-0.20)	-0.23 (-0.31)	-0.31 (-0.40)	0.44 (0.51)	0.52 (0.61)	0.60 (0.71)	0.69 (0.81)
	400	0.02 (0.00)	-0.06 (-0.10)	-0.15 (-0.20)	-0.23 (-0.30)	-0.31 (-0.40)	0.44 (0.50)	0.52 (0.60)	0.60 (0.70)	0.69 (0.80)
0.6	50	-	-	-	-	-	-	-	-	-
	100	-	-	-	-	-	-	-	-	-
	200	0.03 (-0.01)	-0.04 (-0.11)	-0.10 (-0.21)	-0.17 (-0.32)	-0.24 (-0.42)	0.38 (0.52)	0.45 (0.62)	0.52 (0.72)	0.58 (0.82)
	400	0.03 (0.00)	-0.04 (-0.10)	-0.10 (-0.20)	-0.17 (-0.31)	-0.24 (-0.41)	0.38 (0.51)	0.45 (0.61)	0.52 (0.71)	0.58 (0.81)
0.8	50	-	-	-	-	-	-	-	-	-
	100	-	-	-	-	-	-	-	-	-
	200	-	-	-	-	-	-	-	-	-
	400	0.05 (0.00)	-0.01 (-0.11)	-0.07 (-0.21)	-0.12 (-0.32)	-0.18 (-0.42)	0.32 (0.51)	0.38 (0.62)	0.43 (0.72)	0.49 (0.83)

Average OLS estimated coefficients and corrected OLS (between brackets) in 10,000 simulations. The model is described in (Simulations section, simulation I - independent data). "-" means that it was not possible to calculate due to high measurement error in comparison to sample's size. EM: Standard deviation of the Error of Measure. n: Number of samples. Notice that, in the presence of measurement error, the coefficients (β) estimated by the corrected OLS (between brackets) converge to the "true" values, while the estimated by standard OLS do not.

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