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Statistics · Ch 1 — Collection of Data

Census Method versus Sample Method

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Census Method versus Sample Method

Once it is decided that data must be collected, a further basic choice arises: should every single unit of the population be studied, or only a part of it?

Note

Census (Complete Enumeration)

The Census Method collects information from every single unit of the population under study, with no unit left out. India's decennial Census of India (conducted every 10 years, most recently in the 2020s cycle) is the best-known example — every household in the country is enumerated.

Note

Sample Method

The Sample Method collects information from only a representative part (a sample) of the population, and the results are then generalised to the whole population.

BasisCensus MethodSample Method
CoverageEvery unit of the populationOnly a selected part (sample)
AccuracyFree of sampling error (though not of non-sampling error)Subject to sampling error, but often more free of non-sampling error since fewer units are handled with more care
CostVery highComparatively low
Time requiredVery longComparatively short
SuitabilitySmall populations; when data on every individual unit is legally/administratively required (e.g. a national census, an electoral roll)Large or infinite populations; when speed and cost matter; when testing is destructive (e.g. testing how long light bulbs last — you cannot test every bulb and still have any left to sell)
Definition 1Census Method (Complete Enumeration)

A method of data collection in which every single unit of the defined population is studied, with none omitted — e.g., the dec …

Definition 2Sample Method

A method of data collection in which only a selected, representative part (sample) of the population is studied, and conclusions are generalise …

Definition 3Sampling Error

The error that arises solely because conclusions about a population are drawn from studying only a sample of it rather than every unit; it is absent in a true census and tend …

Definition 4Non-Sampling Error

Errors arising from causes other than sampling itself — e.g. a poorly worded questionnaire, non-response, recording or transcription mistakes — which can affect both census and sample data, and are often harde …