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. 2012 Dec 15;55(Suppl 4):S246–S253. doi: 10.1093/cid/cis788

Table 1.

Natural Logarithm of Factors (Ratios of Odds Ratios) Corresponding to Combinations of Pathogens in Example of Adjusted Attributable Fraction (AF) Calculation: AF Is Calculated for Pathogens A1 and A2, Adjusted for Pathogens A3 and A4

Pathogen(s) Present ijkl loge(Tijkl)
A1 1 0 0 0 b1000
A2 0 1 0 0 b0100
A1, A2 1 1 0 0 b1000 + b0100 + b1100
A1, A3 1 0 1 0 b1000 + b1010
A2, A3 0 1 1 0 b0100 + b0110
A1, A2, A3 1 1 1 0 b1000 + b0100 + b1100 + b1010 + b0110
A1, A4 1 0 0 1 b1000 + b1001
A2, A4 0 1 0 1 b0100 + b0101
A1, A2, A4 1 1 0 1 b1000 + b0100 + b1100 + b1001 + b0101
A1, A3, A4 1 0 1 1 b1000 + b1010 + b1001
A2, A3, A4 0 1 1 1 b0100 + b0110 + b0101
A1, A2, A3, A4 1 1 1 1 b1000 + b0100 + b1100 + b1010 + b0110 + b1001 + b0101
A3 0 0 1 0 0
A4 0 0 0 1 0
A3, A4 0 0 1 1 0
None 0 0 0 0 0