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# 11_01 - STAT 420 Examples for Fall 2007 The cutting speeds...

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STAT 420 Examples for 11/01/2007 Fall 2007 The cutting speeds of four types of tools are being compared in an experiment. Five materials of varying degree of hardness are to be used as experimental blocks. Measurements of cutting time (in seconds) according to types of tool (Factor A) and Hardness of Material (Factor B) are given in the table below. I Factor A levels, J Factor B levels Factor B Factor A Factor A 1 2 3 4 5 Means 1 12 2 8 1 7 1 y = 2 20 14 17 12 17 2 y = 3 13 7 13 8 14 3 y = 4 11 5 10 3 6 4 y = Factor B Means 1 y = 2 y = 3 y = 4 y = 5 y = y = ( ) = = - I J i j ij y y 1 1 2 = ( ) = - I i i J y y 1 2 + ( ) = - J j j I y y 1 2 + ( ) = = + - - I J i j j i ij y y y y 1 1 2 SST SSA SSB SSE I J – 1 I – 1 J – 1 ( I – 1 ) ( J – 1 ) ANOVA table: Source SS DF MS F Factor A Factor B Error Total

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> Time <- c(12,2,8,1,7,20,14,17,12,17,13,7,13,8,14,11,5,10,3,6) > A <- c(1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4)
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11_01 - STAT 420 Examples for Fall 2007 The cutting speeds...

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