o talking about blocking block= techniqued used to reduce variability by grou;ing alike exp. units ex: beads & tod - so far block-treatment model Y(hit)=m+O(h)+t(i)+e(hit) where t=1 since randomized complete block - now general complete block t is not 1 since s>1 as above with no interaction - have interaction? y(hit)=m+O(h)+t(i)+(Ot)(hi)+e(hit) h=1,...b i=1....v t=1,...s - these look like and analyze like 2-way main effects and 2-way complete - proper questions 1. H0: no interaction 2. H0: blocks do not help 3. H0: no treatment effect note: if interaction, do cell-means follow-ups - note: check assumptions - conduct appropriate follow-ups - ex: bloc-treatment interaction model see printout * have interaction so do cell-means follow-up...see waht erroneously testing H0: no size effect does 1 1 60 Source SS DF MS F p-val 1 1 55 SIZE 18.7 2 9.3 .84 .478 1 2 39 TOD 85.3 1 85.3 7.64 .033 1 2 42 SIZE*TOD 1034.7 2 517.3 46.33 .001 1 3 30 Error 67.0 6 11.17 1 3 35 Total 1205.7 11 2 1 35 2. 1. 40 means size 1 = 47.5 tod 1=43.5 sizextod 11=57.5 21=37.5 2. 2. 50 2=46.5 2=48.3 12=40.5 22=52.5 2. 2 55 3=44.5 13=32.5 23=56.5 2. 3. 59 2. 3. 54