An article in Analytica Chimica Acta ["Design-of-Experiment Optimization of Exhaled Breath Condensate Analysis Using a Miniature Differential Mobility Spectrometer (DMS)" (2008, Vol. 628(2), pp. 155-161)]

An article in Analytica Chimica Acta ["Design-of-Experiment Optimization of Exhaled Breath Condensate Analysis Using a Miniature Differential Mobility Spectrometer (DMS)" (2008, Vol. 628(2), pp. 155-161)] examined four parameters that affect the sensitivity and detection of the analytical instruments used to measure clinical samples. They optimized the sensor function using exhaled breath condensate (EBC) samples spiked with acetone, a known clinical biomarker in breath. The following table shows the results for a single replicate of a2 factorial experiment for one of the outputs, the average amplitude of acetone peak over three repetitions.

+ + 0.1191 0.1192 0.1194 0.1188 0.1188 + An article in Analytica Chimica Acta (“Design-of- Experiment Optimization of Exhaled

a. Estimate the factor effects and use a normal probability plot of the effects. Identify which effects appear to be large,

and identify a model for the data from this experiment. b. Conduct an ANOVA based on the model identified in part (a). What are your conclusions?

e. Analyze the residuals from this experiment. Are there any problems with model adequacy?

d. Project the design in this problem into a 2' design for r<4 in the important factors. Sketch the design and show the average and range of yields at each run. Does this sketch aid in data representation?