Twoway ANOVA Prehistoric Ceramic Sherds Response: number of sherds Factor 1: region of archaeological excavation Factor 2: type of ceramic sherd (three circle red on white, Mogollon red on brown, Mimbres corrugated, bold face black on white) Dataset attached: 'Prehistoric Ceramic Shreds (a}Make a table of means and standard deviations for each of the 5 x 4 combinations of the two factors. (b) Use a twoway ANOVA to analyze these data. Report the test statistics, degrees of freedom, andP values for the significance tests. (c) Write a shod report summarizing your results. A B C D E 1 Region 5:541:11 5155515459511'51'51'131515555155555 I . 2 55 45 1'5 35. 3 33 51 53 1223 4 I 45 53 35 133 5 II I 55 71 54 75' 5 43 41 51 35- 3 I 37 53 53 55; a 111 I 54. 53 44 41 5 I 51 45 :15 25; 11:1 I 51 I51 55 53' 11 N I 55 45 35 55 12 I 53 55 45 51 13 . 4? .72. 45 35.: 14 v I 27. 4'4 41 45: 15 I 31 35 35 22 15 I 35 53 25 25 1