C. Interpretation

25 d' interpretation) (1 FA FA p z − Φ = σ µ *) (1 c p z SN H H − = Φ = − σ µ µ σ µ σ µ N SN N SN FA H c c z z d − = − + − = − + = ′ * *) (() a a a z z a X Z a X P Φ =       = − < − = = < = σ µ σ µ Pr) Pr(σ µ µ σ σ σ µ µ σ µ σ µ N SN N SN N SN FA H c c c c z z c 5. 0 * * 2 5. 0 * * 5. 0 2 the response criterion c is the normalized distance from the midpoint between the two distribution means origin and scale can be fixed by setting µ SN +µ N =0 and σ=1 2 2) 2 / () 2 / (2 / 2 / FA H H FA H FA z z z d z d c z d c z d c + − = − ′ + − ′ − =    − ′ + = − ′ − = 2 2 2 2 2) (d N SN N SN SN N SN SN ′ = − = − − = + − σ µ µ σ µ µ µ σ µ µ µ After normalization, the distributions means correspond to d'/2 and –d'/2 respectively and the response criteria c is separated by-z H and-z FA from these means. Therefore