The phrase "a sample of the required" is not complete and lacks clarity in written English.
It can be used when referring to a specific sample that meets certain requirements, but it needs additional context to be fully understood.
Example: "Please provide a sample of the required materials for our review."
Alternatives: "a sample of what is needed" or "a sample of the necessary items".
Then, a sample of the required number of households was selected according to the population size of the villages using probability sampling.
At the third stage, a list of all the residential households in each selected CEB formed the sampling frame from which a sample of the required number of households was selected.
At the second stage, a list of all the residential households in each selected village formed the sampling frame from which a sample of the required number of households was selected.
Secondly, probability sampling in urban areas was conducted by selecting primary sampling units (blocks); then a sample of the required number of households was selected in each block with 800 to 1,000 households.
As a result, a sample of the total number of the subjects required was 15,940.
Considering that only a sample of the PPDs is available, it is required to obtain a density estimate suitable for integration.
Intuitively, a large number of clustering solutions, each obtained via a sample of the original dataset, seem to be required in order to identify the correct number of clusters.
The empirical stochastic analysis requires a sample of the message realizations.
To estimate fitness in the equilibrium quasispecies model, we require a sample of the viral population.
The self-controlled case-series method also requires only a sample of the cases (e.g. individuals exposed to oral bisphosphonates with a recorded episode of AF or atrial flutter), and thus avoids the need for selecting adequate controls.
But a sampling of the background questionnaires required by police departments in several cities suggests that few corners go un-probed.
