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Chapter 11: Multifactor Analysis of Variance19.a.jxij•1 2 3 xi• •1 16.44 17.27 16.10 49.81i 2 16.24 17.00 15.91 49.153 16.80 17.37 16.20 50.37x 49.48 51.64 48.21 x = 149. 33• j•Thus SST = 1240.1525 – 1238.8583 = 1.2942,•••CF = 1238.85832479.9991SSE = 1240 .1525 − = .1530 ,2222( 49.81) + ( 49.15) + ( 50.37)SSA =−1238.8583= .1243, SSB = 1. 00246Source Df SS MS f F .01A 2 .1243 .0622 3.66 8.02B 2 1.0024 .5012 29.48* 8.02AB 4 .0145 .0036 .21 6.42Error 9 .1530 .0170Total 17 1.2942H oAB cannot be rejected, so no significant interaction; H oA cannot be rejected, so varyinglevels of NaOH does not have a significant impact on total acidity; H oB is rejected: typeof coal does appear to affect total acidity..0170Q. 01,3,9= , w = 5 .43 = . 2896b. 5. 43j: 3 1 2x• j•8.035 8.247 8.607Coal 2 is judged significantly different from both 1 and 3, but these latter two don’t differsignificantly from each other.323

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