Problem $1\mathrm{.}3.$ Mazur $(2005)$ presents several data sets for split$-$plot$-$designed experiments. For one of the experiments, four rats, R$1,$ R$2,$ R$3,$ and R$4,$ represented the four blocks or replicates, two whole plot treatments representing two time levels, long $(20s)$ and short $(10s),$ and four time intervals between stimuli, B$1,$ B$2,$ B$3,$ and B$4,$ were the split plot treatments. The terminal link entries per hour to the stimuli were:

$\backslash$table$[[,$R$1,$R$2,$R$3,$R$4],[$Condition$,$Long,Short,Long,Short,Long,Short,Long,Short$],[$B$1=60$s$,42\mathrm{.}8,48\mathrm{.}5,51\mathrm{.}7,60\mathrm{.}0,45\mathrm{.}7,49\mathrm{.}3,56\mathrm{.}8,59\mathrm{.}7],[$B$2=30$s$,108\mathrm{.}8,53\mathrm{.}9,97\mathrm{.}9,51\mathrm{.}9,86\mathrm{.}9,50\mathrm{.}8,103\mathrm{.}9,56\mathrm{.}8],[$B$3=15$s$,100\mathrm{.}4,43\mathrm{.}7,198\mathrm{.}3,54\mathrm{.}4,161\mathrm{.}4,53\mathrm{.}5,211\mathrm{.}1,55\mathrm{.}7],[$B$4=2$s$,59\mathrm{.}8,51\mathrm{.}3,899\mathrm{.}1,1\mathrm{.}9,176\mathrm{.}1,51\mathrm{.}6,614\mathrm{.}9,50\mathrm{.}1]]$

Analyze the above split plot design for whole plots and split plots using $1\%$ level of significance. $(5$ Marks$)$