Tricky [General Statistics]
❝ 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.
\(\small{\begin{array}{ccccc}
\hline
& p_1 & p_2 & p_3 & p_4 \\
\hline
s_1 & \text{T}_1 & \text{R} & \bullet & \text{R}\\
s_2 & \text{R} & \text{T}_1 & \text{R} & \bullet\\
s_3 & \bullet & \text{R} & \text{R} & \text{T}_1\\
s_4 & \text{R} & \bullet & \text{T}_1 & \text{R}\\
\hline
\end{array}}\)
\(\small{\begin{array}{ccccc}
\hline
& p_1 & p_2 & p_3 & p_4 \\
\hline
s_1 & \bullet & \text{R} & \text{T}_2 & \text{R}\\
s_2 & \text{R} & \bullet & \text{R} & \text{T}_2\\
s_3 & \text{T}_2 & \text{R} & \text{R} & \bullet\\
s_4 & \text{R} & \text{T}_2 & \bullet & \text{R}\\
\hline
\end{array}}\)
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Helmut Schütz
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Complete thread:
- Randomization Sequences in fully replicate williams’ design Researcher101 2020-10-10 19:27 [General Statistics]
- TrickyHelmut 2020-10-10 20:06
- Tricky ElMaestro 2020-10-10 20:53
- Tricky Helmut 2020-10-10 21:18
- Tricky Researcher101 2020-10-11 09:07
- Very tricky Helmut 2020-10-11 10:57
- Tricky ElMaestro 2020-10-10 20:53
- TrickyHelmut 2020-10-10 20:06