Probabilities of two types of errors in sampling inspection for surveying and mapping products

doi:10.11947/j.AGCS.2019.20180108

Abstract

Abstract: Based on theory of hypothesis testing, a function of calculating probabilities of two types of errors is proposed, which is adopted inanalyzing the advantages and disadvantages of different sampling schemes given in the National Standard GB/T24356-2009. Under the circumstance of large lot size, the sampling inspection should be carried out lot by lot with the lot size less than 200 and the least lot number. Investigations on such procedure are made base on the probability distributions of two types of errors. Numerical results of type I error show that the whole lot inspection is equivalent to the sub-lot inspections sequence from the point of probability of positive null hypothesis. At the same time, experiment results of type Ⅱ error with the typical sampling scheme show that the conclusions of sampling inspection according to the requests of GB/T24356-2009 may be badly wrong under the situation of low percentage of defectiveness.

Key words: surveying and mapping, quality inspection, sampling schemes, type I error, type II error

CLC Number:

P207

CAI Yanhui, CHENG Pengfei, ZHANG Li, XU Yantian. Probabilities of two types of errors in sampling inspection for surveying and mapping products[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(8): 954-959.

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