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Std_Score

Function Std_Score - conversion from standard deviations to Score

Calling Sequence  Std_Score(s)
Parameters
NameTypeDescription

s numerica number of standard deviations
Return Type  numeric
Synopsis This function converts a probability expressed in terms of standard deviations to a Score (-10*log10(Prob)). This is done in such a way that very large values can be handled with precision and without causing overflow/underflow. Formally, a Score is defined as:
 

Score = -10 * log10( Prob{ Normal(0,1) < s } )
Examples
> Std_Score( -30 );
1973.0921
> Std_Score( +30 );
2.131e-197
See also Cumulative,   CumulativeStd,   OutsideBounds,   ProbBallsBoxes,   ProbCloseMatches,   Rand,   StatTest