The Chi-Square-Test for Normal Concordance

The typical QSAR (Quantitative Structure-Activity Relationships) correlation has to be evaluated from its robustness point of view (see the OECD-QSAR principles of Chapter 3/Section 3.2.5 and OECD (2004)) in relation with  

In these conditions, one faces with the actual null h q)othesis 

Proof The starting point is the Stirling s formula for the factorial products  

However, when truncated to the second order expansion in (2.330) we have for (2.327) the expression 

FIGURE 2.20 A centered (up) and the respective ( evolved ) non-centered/biased (down) Normal (Gaussian) distribution with their corresponding total (Poisson) area accordingly marked. 

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