Tricky [General Sta­tis­tics]

posted by Helmut Homepage – Vienna, Austria, 2020-10-10 20:06 (629 d 20:08 ago) – Posting: # 21988
Views: 1,318

Hi Researcher101,

» Dear All, I wanna know what exactly the randomization sequences if I will go for fully replicate ( Four periods) with three arms/treatments ( T1, T2, R)

You need four sequences.

\(\small{\begin{array}{ccccc}
\hline
& p_1 & p_2 & p_3 & p_4 \\
\hline
s_1 & \text{T}_1 & \text{R} & \text{T}_2 & \text{R}\\
s_2 & \text{R} & \text{T}_1 & \text{R} & \text{T}_2\\
s_3 & \text{T}_2 & \text{R} & \text{R} & \text{T}_1\\
s_4 & \text{R} & \text{T}_2 & \text{T}_1 & \text{R}\\
\hline
\end{array}}\)


For the evaluation exclude either \(\small{\text{T}_2}\) or \(\small{\text{T}_1}\) to obtain two partial replicate designs with missing (\(\small{\bullet}\)) observations.

\(\small{\begin{array}{ccccc}
\hline
& p_1 & p_2 & p_3 & p_4 \\
\hline
s_1 & \text{T}_1 & \text{R} & \bullet & \text{R}\\
s_2 & \text{R} & \text{T}_1 & \text{R} & \bullet\\
s_3 & \bullet & \text{R} & \text{R} & \text{T}_1\\
s_4 & \text{R} & \bullet & \text{T}_1 & \text{R}\\
\hline
\end{array}}\)

and

\(\small{\begin{array}{ccccc}
\hline
& p_1 & p_2 & p_3 & p_4 \\
\hline
s_1 & \bullet & \text{R} & \text{T}_2 & \text{R}\\
s_2 & \text{R} & \bullet & \text{R} & \text{T}_2\\
s_3 & \text{T}_2 & \text{R} & \text{R} & \bullet\\
s_4 & \text{R} & \text{T}_2 & \bullet & \text{R}\\
\hline
\end{array}}\)


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