chapter 1

Chapter 11: Multifactor Analysis of Variance49.A B C D E AB AC AD AE BC BD BE CD CE DEa 70.4 + - - - - - - - - + + + + + +b 72.1 - + - - - - + + + - - - + + +c 70.4 - - + - - + - + + - + + - - +abc 73.8 + + + - - + + - - + - - - - +d 67.4 - - - + - + + - + + - + - + -abd 67.0 + + - + - + - + - - + - - + -acd 66.6 + - + + - - + + - - - + + - -bcd 66.8 - + + + - - - - + + + - + - -e 68.0 - - - - + + + + - + + - + - -abe 67.8 + + - - + + - - + - - + + - -ace 67.5 + - + - + - + - + - + - - + -bce 70.3 - + + - + - - + - + - + - + -ade 64.0 + - - + + - - + + + - - - - +bde 67.9 - + - + + - + - - - + + - - +cde 65.9 - - + + + + - - - - - - + + +abcde 68.0 + + + + + + + + + + + + + + +ThusSSA =( 70.4 − 72.1 − 70.4 + ... + 68.0)2= 2.250 , SSB = 7.840, SSC = .360, SSD16= 52.563, SSE = 10.240, SSAB = 1.563, SSAC = 7.563, SSAD = .090, SSAE = 4.203, SSBC= 2.103, SSBD = .010, SSBE = .123, SSCD = .010, SSCE = .063, SSDE = 4.840, Error SS =sum of two factor SS’s = 20.568, Error MS = 2.057, F 10. 04, so only the D maineffect is significant.. 01,1,10=Supplementary Exercises50.Source Df SS MS fTreatment 4 14.962 3.741 36.7Block 8 9.696Error 32 3.262 .102Total 44 27.920MSTrH0: α1= α2= α3= α4= α5= 0 will be rejected if f = ≥ F. 05,4,32 = 2. 67 .MSEBecause 36.7≥ 2. 67 , H o is rejected. We conclude that expected smoothness score doesdepend somehow on the drying method used.343