**MSC:**- 62B15 Theory of statistical experiments

by McIntyre (1952) as an efficient alternative to Simple

Random Sampling (SRS) for estimating pasture yields.

We construct a family of statistical experiments which are

based on the RSS procedure. The extreme cases in the family

are given by the SRS of size $n$,

$$SRS:=(\mathbb{R}^n,\mathcal{B}(\mathbb{R}^n),\{\otimes_{

i=1}^{n}P_{\theta}^{X}:\,\theta\in\Theta\})$$

and by the RSS experiment without repetition of size $n$,

$$RSS:=(\mathbb{R}^n,\mathcal{B}(\mathbb{R}^n),\{\otimes_{

i=1}^{n}P_{\theta}^{X_{[i]}^{n}}:\,\theta\in\Theta\}).$$

We restrict to dominated experiments and establish the

existence or non-existence of Markov kernels between the

experiments in our family. Using the randomization criterion

we decide on the existence or non-existence of the Blackwell

informational order in the family of experiments.