Odds and Risk Ratios

This node calculates the Maximum Likelihood Estimate (MLE) Odds Ratio (OR) and the Maximum Likelihood Estimate (MLE) Risk Ratio (RR), i.e., "Wald" OR and RR, from two selected categorical columns. For each column a value is selected to be considered the value under observation. All other values in non-binary categorical columns are considered as the "not" case.

Odds Ratio:
OR = (a/b) / (c/d) = (a * d) / (b * c)

Risk Ratio:
RR = (a / (a+b)) / (c / (c+d))

Fisher's Exact Test is calculated with
p = (a + b)!(c + d)!(a + c)!(b + d)! / (a!b!c!d!n!), where
n = a + b + c + d
over the sum of the marginal tables.

The two-tailed, left-tailed, and right-tailed p-values are calculated. The value for the Laplace correction is not considered for this calculation.

The Chi-Squared Test (Χ²) is calculated with
Χ² = ∑_i ∑_j (O_ij - E_ij)² / E_ij²
where
E_ij = T_i * T_j/n
and
T_i and T_j are the sums of the row and columns respectively.

Yates' Corrected Χ² is
Χ²_Yates = ∑_i ∑_j (|O_ij - E_ij|-0.5)² / E_ij²

Pearson's Coefficient of Contingency
Pearson's C = √Χ² / (Χ² + n)

Cramér's Coefficient of Contingency
Cramér's V = √Χ²/n