chap 3 prob 4 estimate of tau(i) is y-bar(i,.)-y(.,.) in one case and y-bar(i,.)-ybar(v,.) in another. unless Y(v,.) is zero thee are not the same and thus not estimable tau(1)-tau(2) is estimable chat 3 prob 14 a) plot time*pushes b) p-value is .88 accept means the same c) mean stdev 38.2 .068 38.17 .116 38.19 .099 38.17 .109 chap 3 prob 14d contrast ss is .004 chap 3 prob 17 phi is sqrt (r/2v)*(delta/sigma) = sqrt(4/2*3)(.25/.2828) alpha is .05 with phi=.72 v(1)=2 and v(2)=12-3=9 see power in table on p. 713 as lower than .24 (lenth calculator gives .093) chap. 4 prob 3 b bonferroni use pt est=diff of above means w= 2.55 sterr= sqrt(.01* (1/sample size + 1/samples size) tukey as above with bonferroni but studentrange=3.402 dunnett as above with bonferroni but w=2.154 dunnett (onetailed) as above with bonferroni but w = 1.789 scheffe as above with vonferroni but f is 2.298 chap 4 prob 11 try 0,4,8,12 pushes b) might use bonferroni y-bar(o,.)-y-bar(s,.) +- t(df=n-4,alpha/12)*sqrt(mse*2/r) where mse= sum of (y(it) - y-bar(i,.))squared / (n-4) c) look to above bonferroni and the .01 from before 2.58*sqrt(.01*2/r) = .1 gives r=13 v plays a small role chap 5 prob 1 no pattern...all ok cahp 6 prob 7 a) .0001 for p-value b) estimate 'g3_v_1&2' cell -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 2 2 2 2 2 /divisor=2; estimate=-32.25 sterr=6.4 c) estimate '13v15' cell 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0; estimate= 6.5 sterr=3.3 d) mse=10.91 29*10.91/19.77=15.99 e)t(df=n-v, alpha/2m) * sqrt (2/r*mse) < 8 gives r=9, so 9*15 chap 6 prob 8 b) estimate=5.0 sterr=7.01