Today (1/21/15) Learning objectives:

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Presentation transcript:

Today (1/21/15) Learning objectives: Propagate mean and standard deviation of a sum of random variables. Understand the differences in the experimental standard deviation and bias. Be able to generate the PDF for a sum of random variables 2.0 : 1/11

Question 2 Consider an MS experiment based on ion counting with a swept source (e.g., quadrupole). In a given sweep, a count is recorded every time one or more ions is detected in a given m/z channel, such that the measured counts will be binomially distributed. -Derive an expression to recover the mean number of ions µ in a single sweep from the measured probability of observing a count p. -What value of p corresponds to a mean bias of 1% from the true number of counts? 2.0 : 1/11

Sums of random variables 2.0 : 1/11

Sums of random variables 2.0 : 1/11

Sums of random variables 2.0 : 1/11

Sums of random variables 2.0 : 1/11

Sums of random variables 2.0 : 1/11

Sums of random variables 2.0 : 1/11

Sums of random variables 2.0 : 1/11

Sums of random variables 2.0 : 1/11

Sums of random variables 2.0 : 1/11

Sums of random variables 2.0 : 1/11

Sums of random variables 2.0 : 1/11

Tuesday (1/26/15) Independent reading: 3.3 – Experimental standard deviation 4.0 – The z-statistic and confidence intervals 2.0 : 1/11