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抽样调查中的比率估计偏差AI 解读

Sample survey data are commonly expressed by the ratio mean r = y/x, where both y and x are random variables, each the sum of a survey variable. Most commonly, x is simply the sample size and r the sample mean. Simplicity of computing and presenting this mean gives it considerable advantages, particularly in multi-purpose surveys. Though consistent, it is not an unbiased estimator. Our empirical investigations, set in a theoretical framework, show that the bias in most…

抽样调查中的比率估计偏差AI 解读

Sample survey data are commonly expressed by the ratio mean r = y/x, where both y and x are random variables, each the sum of a survey variable. Most commonly, x is simply the sample size and r the sample mean. Simplicity of computing and presenting this mean gives it considerable advantages, particularly in multi-purpose surveys. Though consistent, it is not an unbiased estimator. Our empirical investigations, set in a theoretical framework, show that the bias in most…