According to the census-sample comparative table, which scenario would MOST favour using a sample over a census?

Question

BlackTom AI · Accepted Answer

When evaluating when to use a sample instead of a full census in a census-sample comparative context, several practical factors come into play. 
Option 1: 'Low cost of sampling error and small population size' claims that sampling is advantageous due to low sampling error costs and a small population. In reality, small populations are often feasible to census, and the primary cost advantage of sampling escalates with large populations rather than small ones. This makes sampling less compelling here.
Option 2: 'Small budget, short time available, and large population size' sets up a scenario where the census would be expensive and time-consuming due to the large population, while sampling could provide timely results and cost savings. With a large population, the benefits of sampling—reduced financial and time burdens—become most pronounced, especially when budget and schedule constraints are tight. This aligns with the typical justification for using a sample.
Option 3: 'High cost of nonsampling errors and small variance in characteristics' suggests that because nonsampling errors are expensive to manage and the population characteristics are fairly uniform, a census (which reduces sampling error) might be preferable or less problematic. However, high nonsampling error costs argue for careful data collection practices, but not necessarily favoring a census over a sample—especially if sampling error can be controlled and the population is sizable.
Option 4: 'Large budget, long time available, and small population size' presents a scenario where there is ample time and money, and the population is small. In such a case, conducting a census would be feasible and efficient, so there is less motivation to rely on sampling. This does not support the general incentive to choose sampling.
In this landscape, the decision to sample typically hinges on the tension between resource constraints (budget and time) and population size. Large populations with tight budgets and tight schedules create the strongest case for sampling due to substantial savings and faster turnaround. Conversely, small populations or abundant resources tilt toward census-taking. The remaining factors about nonsampling errors and variance influence the choice less decisively when the priority is speed and cost under a large population.

According to the census-sample comparative table, which scenario would MOST favour using a sample over a census?单项选择题

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