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in statistics, an important property of a sample. It consists in the closeness of characteristics of the sample—such as composition and average values—to the corresponding characteristics of the population from which the sample has been taken in accordance with established rules (seeSAMPLE SURVEY).

A judgment as to the degree of representativeness of a sample can be made in two ways. First, the sample is compared with the population with respect to all the characteristics that have been measured in both. Thus, in order to judge the representativeness of the sample households selected for a survey of household budgets, the distribution of households with respect to workers’ wage levels can be compared with the analogous distribution derived from general statistical data. If general data on the distribution are not available, average wage levels can be compared.

Second, a judgment as to the degree of representativeness can be made on the basis of the variability of the statistics under investigation in the sample. For example, if the data of a survey of household budgets indicate that the per capita consumption of bread varies from household to household much less than does the consumption of meat, then the sample can be considered to be more representative with respect to the consumption of bread than it is with respect to the consumption of meat.

The representativeness of a sample is measured by the sampling error, which is the difference between a sampling statistic and the parameter of the population from which the sample was taken. In practice, however, this difference remains unknown. Consequently, there is used as a measure of representativeness the probable value of the difference, as determined by the methods of mathematical statistics, or the root mean square of its possible values (see alsoSAMPLING).


References in periodicals archive ?
5) Sometimes, but not in this discussion, representativeness error is defined to include both forward model (i.
In previous active learning work, the marginal density and cosine distance are used as the representativeness measure to gain the information of data distribution [39, 42].
In this case, the majority concluded that the province's efforts to include Aboriginal on-reserve residents in the jury process were reasonable, and thus the province had met its obligation for representativeness.
These factors can generate different areas of representativeness on different timescales and for different time periods.
This motivates us to propose new criterion representativeness for sparse graph-based active learning, where representativeness indicates the total reconstruction contribution of each sample for other samples.
The desert dispute originally started and continued under the obsession of representativeness.
ESSENCE was determined to have a high degree of representativeness, in that it included all DoD beneficiaries visiting all USAF outpatient clinics, and thus it reported all medical events.
Our objective was to determine the representativeness, overlap, and relative contributions of selected Veterans Health Administration (VHA), Veterans Benefits Administration (VBA), and Department of Defense (DOD) administrative databases.
Wang Ju-hsuan, minister of CLA, reported that CLA is still studying methods for selecting committee members, who must have sufficient representativeness and public credibility.
Otherwise, opinions and interests of citizens in smaller Member-States would be easily disregarded thus undermining any sense of democracy and representativeness in Europe.
Indeed, if representativeness were a concern, Shinano would be a poor choice" (21).
He tackles, among other things, these "minor" writers' intricate relation to the questions of responsibility for and solidarity with the minorities to which they belong, their ethnic representativeness, and their texts' representativity.