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13 rblockex

# 13 rblockex - Randomized Block Example A farmer wishes to...

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Randomized Block Example A farmer wishes to compare the growth times of four different varieties of daffodil under a range of different conditions. She decides to use a ran- domized block design where six fields are split into four equally sized plots and then the vari- eties are randomly assigned to these plots. The response is the number of days until half of the daffodils are ready for cutting. Field Var 1 2 3 4 5 6 Mean A 43 46 46 42 40 37 42.33 B 34 30 33 25 32 22 29.33 C 36 35 38 27 29 28 30.50 D 37 43 40 33 39 35 37.83 Mean 37.5 38.5 36.75 31.75 35.0 30.5 35.0 The data were entered into MINITAB and the twoway ANOVA program was run. MTB > set c1 DATA> 43 34 36 37 46 30 35 43 46 33 28 40 42 25 27 33 DATA> 40 32 29 39 37 22 28 35 DATA> end MTB > set c2 DATA> 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4

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DATA> end MTB > set c3 DATA> 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 DATA> end MTB > Name c4 "RESI1" c5 "FITS1" MTB > Twoway c1 c2 c3; SUBC> Residuals ’RESI1’; SUBC> Fits ’FITS1’; SUBC> Additive; SUBC> Means c2 c3. Two-way ANOVA: C1 versus C2, C3 Source DF SS MS F P C2 3 685.0 228.333 31.28 0.000 C3 5 209.5 41.900 5.74
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