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. 2020 Oct 21;190(5):900–907. doi: 10.1093/aje/kwaa232

Table 1.

How Bias Varies if Select Simulation Parameters Are Varied While Holding the Other Parameters Constant at Their Main Analysis Value, for the Scenario Where Exposure and Confounder Are Nondifferentially Misclassified and the Errors Are Dependenta

Parameter Main Analysis Value Value Examined Direction of Bias Magnitude of Bias
Inline graphic, Inline graphic 0 −2 Toward the null −0.257
−1 Away from the null 0.094
0 Away from the null 0.603
1 Away from the null 1.036
2 Away from the null 1.259
Inline graphic 0.50 0.25 Away from the null 0.438
0.50 Away from the null 0.603
0.75 Away from the null 0.768
Inline graphic 0.85 0.50 Away from the null 0.700
0.75 Away from the null 0.648
0.85 Away from the null 0.603
0.95 Away from the null 0.436
Inline graphic 0.95 0.50 Toward the null −0.122
0.75 Away from the null 0.176
0.85 Away from the null 0.362
0.95 Away from the null 0.603
Inline graphic, where Inline graphic 0.90 −0.90 Toward (past) the null −2.184
−0.50 Toward the null −1.748
0.50 Toward the null −0.036
0.90 Away from the null 0.603
1.50 Away from the null 1.282

Abbreviations: SD, standard deviation; Se, sensitivity; Sp, specificity.

a Notation: Inline graphic, correctly measured exposure; Inline graphic, misclassified exposure; Inline graphic, coefficient determining amount of misclassification in Inline graphic; E(X), expected value of variable X; Inline graphic, variable used to induce misclassification; Inline graphic, correctly measured confounder 1; Inline graphic, misclassified confounder 1; Inline graphic, confounder 2; P(X), probability of X; SD(X), standard deviation of X.