In the article “Assessment of Dermatopharmacokinetic Approach in the Bioequivalence Determination…

In the article “Assessment of Dermatopharmacokinetic Approach in the Bioequivalence Determination of Topical Tretinoin Gel Products” (L. Pershing, J. Nelson, et al., Journal of the American Academy of Dermatology, 2003:740–751), measurements of the concentration of an anti-fungal gel, in ng per square centimeter of skin, were made one hour after application for 49 individuals. Following are the results. The authors claim that these data are well-modeled by a lognormal distribution. Construct an appropriate probability plot, and use it to determine whether the data support this claim. 132.44 76.73 258.46 177.46 73.01 130.62 235.63 107.54 75.95 70.37 88.76 104.00 19.07 174.30 82.87 68.73 41.47 120.44 136.52 82.46 67.04 96.92 93.26 72.92 138.15 82.43 245.41 104.68 82.53 122.59 147.12 129.82 54.83 65.82 75.24 135.52 132.21 85.63 135.79 65.98 349.71 77.84 89.19 102.94 166.11 168.76 155.20 44.35 202.51 Figure 4.23 (page 288) shows that nonnormal data can sometimes be made approximately normal by applying an appropriate function (in this case the natural logarithm). This is known as transforming the data. Exercises 9 and 10 present examples of other transformations.

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