Applied Data Analysis: ANOVA on anorexia The next data to analyze is a data set on anorexia and is from the source quoted below1. There is an "anorexia.csv" in the directory Supplementary Materials under the Content tab. If however, you have installed R on your computer, it is available by first typing: > |ibrary(MASS) > anorexia Anorexia is an eating disorder and the data consists of three treatments for it: a control (Cont), cognitive behavioral treatment (CBT), and family treatment (FT). The response measured are the patients weight prior to treatment (Prewt) and patients weight after the treatment (Postwt). Our interest is in difference in weight (Postwt Prewt) after each treatment across the three treatments. Use ANOVA to test the null hypothesis that all treatments are the same. You can perform the data analysis either by using a scientific calculator, using spreadsheet features, or, you can do this completely in R (some guidance will be provided on this weeks Discussion). 1. Hand, D. J., Daly, F., McConway, K., Lunn, D. and Ostrowski, E. eds (1993)A Handbook of Small Data Sets. Chapman & Hall, Data set 285 (p. 229) Question 10 (1 point) Perform ANOVA on the anorexia data set and choose all the correct answers. C] reject H0 at or = 0.05 C] reject H0 at oz = 0.025 C] not reject H0 at or = 0.05 C] not reject H0 at or = 0.025 C] reject H0 at or = 0.01 C] not reject H0 at or = 0.01 Question 11 (1 point) At (X = 0.05 the significant differences are the following. Choose all the correct answers. C] Cont vs CBT C] There are no differences C] Cont vs FT C] CBT vs FT anorexia (2) 1 Cont 80.7 80.2 2 Cont 89.4 80.1 3 Cont 91.8 86.4 4 Cont 74 86.3 5 Cont 78.1 76.1 6 Cont 88.3 78.1 7 Cont 87.3 75.1 8 Cont 75.1 86.7 9 Cont 80.6 73.5 10 Cont 78.4 84.6 11 Cont 77.6 77.4 12 Cont 88.7 79.5 13 Cont 81.3 89.6 14 Cont 78.1 81.4 15 Cont 70.5 81.8 16 Cont 77.3 77.3 17 Cont 85.2 84.2 18 Cont 86 75.4 19 Cont 84.1 79.5 20 Cont 79.7 73 21 Cont 85.5 88.3 22 Cont 84.4 84.7 23 Cont 79.6 81.4 24 Cont 77.5 81.2 25 Cont 72.3 88.2 26 Cont 89 78.8 27 GET 80.5 82.2 27 GET 80.5 82.2 28 GET 84.9 85.6 29 GET 81.5 81.4 30 GET 82.6 81.9 31 GET 79.9 76.4 32 GET 88.7 103.6 33 GET 94.9 98.4 34 GET 76.3 93.4 35 GET 81 73.4 36 GET 80.5 82.1 37 GET 85 96.7 38 GET 89.2 95.3 39 GET 81.3 82.4 40 GET 76.5 72.5 41 GET 70 90.9 42 GET 80.4 71.3 4-3 CBT 83.3 85.4 44 GET 83 81.6 45 GET 87.7 89.1 46 GET 84.2 83.9 47 GET 86.4 82.7 48 GET 76.5 75.7 49 GET 80.2 82.6 50 GET 87.8 100.4 51 GET 83.3 85.2 52 GET 79.7 83.6 50 GET 87.8 100.4 51 GET 83.3 85.2 52 GET 79.7 83.6 53 GET 84.5 84.6 54 GET 80.8 96.2 55 GET 87.4 86.7 56 FT 83.8 95.2 5 FT 83.3 94.3 58 FT 86 91.5 59 FT 82.5 91.9 60 FT 86.7 100.3 61 FT 79.6 76.7 62 FT 76.9 76.8 63 FT 94.2 101.6 64 FT 73.4 94.9 65 FT 80.5 75.2 66 FT 81.6 77.8 67 FT 82.1 95.5 68 FT 77.6 90.7 69 FT 83.5 92.5 70 FT 89.9 93.8 71 FT 86 91.7 72 FT 87.3 98