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STATISTICAL MEASURES OF THE LOWER LIMIT OF DETECTION OF A RADIOACTIVITY COUNTER

STATISTICAL MEASURES OF THE LOWER LIMIT OF DETECTION OF A RADIOACTIVITY COUNTER,B. Altshuler,B. Pasternack

STATISTICAL MEASURES OF THE LOWER LIMIT OF DETECTION OF A RADIOACTIVITY COUNTER   (Citations: 35)
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The lower limit of detection of a counter is best expressed ; statistically in terms of two minimal activities determined by the maximal ; acceptable risks of making a Type I error (of concluding there is sample activity ; when there is none) and a Type II error (of concluding there is no activity in ; the sample when there is some). These threshold activities are designated the ; minimum significant measured activity,'' defined to be the smallest measurement ; which is interpreted as meaning there is activity in the sample, and the ; minimum detectable true activity,'' defined to be the smallest amount of activity ; required to be in a sample in order that a measurement can be expected to imply ; correctly the presence of activity with a predetermined degree of confidence. It ; is to be noted that the former refers to a measurement while the latter refers to ; the actual activity present. The statistical problems of the definition and ; derivation of these two measures of detection sensitivity is discussed. Though ; either quantity can serve equally well as a measure of detection threshold, it is ; important to recognize the distinction between the threshold for measured ; activity and the threshoid for true activity and their different applications--- ; the former dealing with measurements meriting being reported as greater than zero ; and the latter with the amount of actual activity that can be detected with ; predetermined confidence. (auth);
Published in 1963.
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