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Transactions - FBI - Vysoká škola báňská - Technická univerzita ...

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<strong>Transactions</strong> of the VŠB - Technical university of OstravaSafety Engineering SeriesVol. VI, No. 2, 2011p. 1 - 5Tab. 2 Characteristic components found in a sampleof fresh automobile petrol by the GC-MS method(TÚPO)1.2 The sensitivity, detection limits for inquiredsubstances, the linearity, the reproducibility,and the selectivity of the applied method ofthe chemical analysisWith the GC/MS SPME technique, see Tab. 3.Tab. 3 The results of the validation measurement(TÚPO)Legend:Sensitivity = the angular coefficient of straight lines.Detection limit = the sum of the average of a blank experiment and thetriple of its standard deviation.Linearity = the correlative coefficient of regression straight lines (TICvalues vers. the substance concentration).x…the numerical formulation of the surface of the pikes in a TICfigure.Selectivity = there is a sufficient distinguishability among individualpikes in the TIC readings.1.3 The introduction of symbols and theirdefinitionsLet us suppose that:HHP(H)ENotation Name of Component1, 3, 4 Group of C5 - C8 saturated alkanesMTBE Tercbutyl-methylether (CAS: 1634-04-4)2 Benzene5 Toluene6 Isomers of xylenes7 Group of C3 alkyl benzenes8 Group of C4 (C5) alkyl benzenes9 Naphthalene10 Isomers of 1Methyl Naphthalenesetc. (AP- totally approx. 300 - 400 components)Parameter VGR DSQanalyteo-xylene 1,2,4-TMB m-p-xylene 1,2,4-TMBSensitivity 0,9922 0,9899 0,9936 0,9609Detection limit x 3801087 8144842 99404691 81662592Linearity 1,253 1,525 3,962 34,924Repeatability r x 66467301 876281118 127900702 105034905_this symbol means the presence of an analytein a sample, the positive result,this symbol means the absence of a searchedanalyte in a test sample,the H a-priori probability (before the testwith the E evidence with regard to H whenthe relation (8) holds true was realized),the result of a test/chemic. analysis(evidence),P(E/H) the probability of the E experimentalevidence with regard to H. If an experimentalresult is positive, this probability gets closerto 1. That's not the case if the measuredconcentration is in the proximity of thedetection limit of an apparatus/an analyticalmethod. In that case it is advantageous tocalculate the probability according to theequation (8):_PE ( / H) 1 PE( / H)(8)When P(E/H) is the probability of a falsely negativeresult with regard to H,_P(E/H) is the probability of a positive experimentalresult in the H absence (the falsely positiveprobability). The result is falsely negative in the caseof the P(E/H)._P(E/H) the a-posteriori probability of the presenceof an analyte in a test sample with regard to anexperimental evidence, the E test result,P(E/H) = 1 if the accelerant was found during anexperiment. The exception is the case when themeasured concentration of an analyte is in theproximity of a detection limit.One can suppose for the interpretation of theequation (3):when P(H/E) = 0.5, the probability of the rightnessof the hypothesis is 50 %,= 0.99, the probability of the rightnessof the hypothesis is certainly 99 %.The next scale of values P(H/E) is designed forthe interpretation of the results according to theequation (6):

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