## Tricky [General Sta­tis­tics]

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

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

Dif-tor heh smusma 🖖
Helmut Schütz

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