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Table 2 Comparison of continuous-variable/discrete discriminant analyses

From: Genotype distribution-based inference of collective effects in genome-wide association studies: insights to age-related macular degeneration disease mechanism

Predictor, a

Classes

Parameters

Predictor distribution for class y

Prediction

Continuous variables

Case (y=1)

μ 1, Σ 1

N(μ y ,Σ y )

Decision boundary:

 

Control (y=0)

μ 0, Σ 0

 

δ 0(a)=δ 1(a)

Discrete variables

Case (y=1)

\(\psi _{1}=\{h_{i}^{(1)},J_{ij}^{(1)}\}\)

Pr(a;ψ y |y)

\(\beta _{i}=h_{i}^{(1)}-h_{i}^{(0)}\)

 

Control (y=0)

\(\psi _{0}=\{h_{i}^{(0)},J_{ij}^{(0)}\}\)

given by Eq. (3)

\(\gamma _{ij}=J_{ij}^{(1)}-J_{ij}^{(0)}\)