Statistics for Environmental Engineers

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50.1    Limit of Detection. The Method Limit of Detection is calculated using MDL = 3.143^, where ^ is the standard deviation of measurements on seven identical aliquots. Use simulation to study how much the MDL can vary due to random variation in the replicate measurements if the true standard deviation is a = 0.4.

50.2    Nonconstant Variance. Chapter 37 on weighted least squares discussed a calibration problem where there were three replicate observations at several concentration levels. By how much can the variance of triplicate observations vary before one would decide that there is nonconstant variance? Answer this by simulating 500 sets of random triplicate observations, calculating the variance of each set, and plotting the histogram of estimated variances.

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