Good Tasting Medicine In a study ofthe palatability of

Chapter 15, Problem 42

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Good Tasting Medicine In a study ofthe palatability of antibiotics in children, Dr.Doreen Matsui and colleagues used a voluntary sample of healthy children to assess their reactions to the tasteof four antibiotics.5 The childrens response was measuredon a 10-centimeter (cm) visual analog scaleincorporating the use of faces, from sad (low score) tohappy (high score). The minimum score was 0 and themaximum was 10. For the accompanying data (simulatedfrom the results of Matsuis report), each of fivechildren was asked to taste each of four antibiotics andrate them using the visual (faces) analog scale from 0to 10 cm.AntibioticChild 1 2 3 41 4.8 2.2 6.8 6.22 8.1 9.2 6.6 9.63 5.0 2.6 3.6 6.54 7.9 9.4 5.3 8.55 3.9 7.4 2.1 2.0a. What design is used in collecting these data?b. Using an appropriate statistical package for a twowayclassification, produce a normal probabilityplot of the residuals as well as a plot of residualsversus antibiotics. Do the usual analysis of varianceassumptions appear to be satisfied?c. Use the appropriate nonparametric test to test fordifferences in the distributions of responses to thetastes of the four antibiotics.d. Comment on the results of the analysis of variancein part b compared with the nonparametric test inpart c.RANK CORRELATION COEFFI