The paper focused on the potential problems among the sample survey of industrial enterprises under the designated size, such as the application of sample and associated material, empty and duplicate name in the sampling frame, and the missing enterprise of sampling frame.
The paper firstly reviews several important incidents of the second half of last century.It further discusses the rationality of application of mathematical statistics to analysing social and economic problems,explains what trans-science analysis across mathematical statistics and economics is and the status of traditional social and economical statistics in the system of statistical subjects.
The paper discusses briefly the mistake to take 1% of the population as the samples of 1% pupulation sample survey and demonstrates the procedure to choose samples according to the current regulation.