Chemistry 155 Introduction to Instrumental Analytical Chemistry

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Chem 155 Unit 1 Page 26 of 3131.8.1 A Graphical Look at Detection Limit (C MIN )Consider the minimum detectable signal in thecontext of the confidence interval:S MIN = 3σ b + S bTo what confidence interval does 3σ correspond?Assume N=2 (two replicate measurements of S b )zσ/N 1/2 = 3σ z/N 1/2 = 3 z = 3*1 1/2 = 3z = 3 corresponds to the 99.7% confidence intervalAnother way of saying this (crudely) is that weconsider a signal ‘detected’ when it falls outside of theboundaries corresponding to the 99.7% confidenceinterval for the blank signal.Page 26 of 313
Chem 155 Unit 1 Page 27 of 3131.8.2 Minimum Detectable Temperature Change?Using the thinking that we developed for the generalcase of signals with random error – what do you thinkis the probability that the following signal change isdue to random fluctuations?Page 27 of 313
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Chemistry 155 Introduction to Instrumental Analytical Chemistry

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