Question

I don’t understand how to do this portion of this question. Please help.

Conduct and interpret follow up t tests for this anova analysis.

to me ANOVA Source of SS Variation df MS P-value F crit 136.9333 2 68.46667 43.70213 3.09498E- 3.885293835 Effect 06 18.8 12 1.566667 error Total 155.7333 14 c) critical value 3.88529 p-value 3.09498 10 -6)

Answer 1

$(a)~MS=SS/df\\ Here~SS~due~to~effect=SSB=136.9333~with~df=2\\ SS~due~to~error=SSE=18.8~with~df=12\\ We~check~that~SS~total=SST=SSB&plus;SSE~and\\ ~df~corresponding~"Total"=df~corresponding~"Effect"&plus;df~corresponding~"Error"\\ MS~due~to~effect=MSB=136.9333/2=68.46667,~MS~due~to~error=\\ MSE=18.8/12=1.566667,~F~value=MSB/MSE=68.46667/1.566667\\=43.70212\\ Since~F-value>Critical~value=F_{crit}=3.885299\\ and~also~p-value=P(F>43.70212|F\sim F_{2,12})=3.09498*10^{-6}=0.000003<0.05\\ we~reject~null~hypothesis~that~the~levels~of~effect~are~equal~and~conclude~that~at~least\\ one~level~of~effect~is~significantly~different~from~other.\\ Note:~We~can't~perform~t-test~here.$