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Table 6 Original regression coefficients and transformed effect size for studies included in the meta-analysis

From: Standardizing effect size from linear regression models with log-transformed variables for meta-analysis

Author (Year) Mean of X Units Transf. on X β SE(β) θ SE(θ)
As in urine
 Hamadani (2011)-Girls [7]   μg/L Ln −1.40 0.66 −0.57 0.27
 Hamadani (2011)-Boys [7]   μg/L Ln 0.70 0.56 0.28 0.23
 Rocha-Amador (2007) [8]   μg/gr crea Ln −5.72 1.93 −2.32 0.78
 von Ehrenstein (2007) [9] 78 μg/L None −0.0007 0.0008 −0.03 0.03
 Wasserman (2007) [10]   μg/gr crea Ln −1.78 1.42 −0.72 0.58
 Wasserman (2004) [11]   μg/gr crea Ln −2.90 1.71 −1.18 0.69
As in water
 Rocha-Amador (2007) [8]   μg/L Ln −6.15 1.87 −2.49 0.76
 von Ehrenstein (2007) [9] 147 μg/L None −0.0002 0.0004 −0.01 0.03
 Wasserman (2007) [10]   μg/L Ln −1.06 0.57 −0.43 0.23
 Wasserman (2004) [11]   μg/L Ln −1.64 0.64 −0.66 0.26
Mn in hair
 Bouchard (2011) [12]   μg/g log10 −3.30 1.43 −0.58 0.25
 Menezes-Filho (2011) [13]   μg/g log10 −5.78 2.84 −1.02 0.50
 Riojas-Rodríguez (2010) [14] 6.35 μg/g None −0.20 0.11 −0.64 0.36
 Wright (2006) [15] 0.47 μg/g None −10.00 5.00 −2.35 1.18
  1. As, arsenic, Mn manganese, θ transformed effect size for k = 1.5, Ln natural logarithm, log10 base 10 logarithm, gr crea grams of creatinine