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Applied Statistics Using SPSS, STATISTICA, MATLAB and R

Applied Statistics Using SPSS, STATISTICA, MATLAB and R

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Σ covariance matrix<br />

x arithmetic mean<br />

v sample variance<br />

s sample st<strong>and</strong>ard deviation<br />

xα α-quantile of X ( FX (xα<br />

) = α<br />

med(X) median of X (same as x0.5)<br />

S sample covariance matrix<br />

α significance level (1−α is the confidence level)<br />

xα<br />

α-percentile of X<br />

ε tolerance<br />

Abbreviations<br />

FNR False Negative Ratio<br />

FPR False Positive Ratio<br />

iff if an only if<br />

i.i.d. independent <strong>and</strong> identically distributed<br />

IRQ inter-quartile range<br />

pdf probability density function<br />

LSE Least Square Error<br />

ML Maximum Likelihood<br />

MSE Mean Square Error<br />

PDF probability distribution function<br />

RMS Root Mean Square Error<br />

r.v. R<strong>and</strong>om variable<br />

ROC Receiver Operating Characteristic<br />

SSB Between-group Sum of Squares<br />

SSE Error Sum of Squares<br />

SSLF Lack of Fit Sum of Squares<br />

SSPE Pure Error Sum of Squares<br />

SSR Regression Sum of Squares<br />

)<br />

Symbols <strong>and</strong> Abbreviations xxiii

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