测绘成果质量抽样检测功效量化指标

doi:10.11947/j.AGCS.2025.20230443

摘要/Abstract

摘要：

本文基于累计超几何分布的接受概率理论分析了抽样方案系列一致性问题的本质，提出了抽样检验的检验功效概念，基于接受概率与批量对数函数定义了检验功效指数（ICI）函数，实现了抽样方案评价的量化计算。结合测绘成果质检应用，在OC曲线分析的基础上，提出了检验功效特性（ICC）曲线的分析方法。7个典型测绘质检抽样方案计算结果表明ICI能够较好地反映各个抽样方案的综合特性；ICC曲线分析表明7个典型测绘质检抽样方案的一致性先验AQL区间适用范围为0.3%~1%，最佳AQL为0.6%。本文的结论一方面从抽样检验功效的角度给出了测绘地理信息成果的先验质量水平的要求，另一方面对智能化测绘生产和众源测绘成果的可靠性分析和应用具有重要指导意义。

关键词: 抽样检验, 接受概率, 检验功效指数, 测绘成果

Abstract:

Based on the theory of the acceptance probability of cumulative hyper-geometric distribution, the paper analyzes the essence of the consistency problem of sampling plan series and proposes the concept of inspection capacity (IC) for sampling inspection by defining inspection capacity index (ICI) function with acceptance probability and logarithm of lot size, which provides a method to evaluate quantity indicators of sampling plan. Based on the actual application of quality inspection of surveying and mapping products and operating characteristic (OC) curves method, an approach, called inspection characteristic (ICC) curve, was developed to analyze the differences between two sampling plans. The numerical results of 7 typical sampling plans show that the ICI value can better reflect overall characteristics of sampling plan. The ICC analyzing results indicate the consistency prior AQL interval of the 7 typical sampling plans should be 0.3%~1.0%, and the optimal AQL value is 0.6%. It is not only significant for the theoretical analysis of the prior quality level that the surveying and mapping products needed, but also for the management of smart surveying and the multi-sourced geo-information data's quality and reliability analyzing.

Key words: sampling inspection, accept probability, inspection capacity index, surveying and mapping products

中图分类号:

P207

蔡艳辉, 程鹏飞, 张莉. 测绘成果质量抽样检测功效量化指标[J]. 测绘学报, 2025, 54(3): 473-480.

Yanhui CAI, Pengfei CHENG, Li ZHANG. Inspection capacity index (ICI)—a sampling scheme measure of quality inspection of surveying and mapping products[J]. Acta Geodaetica et Cartographica Sinica, 2025, 54(3): 473-480.

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批量	样本量	接受质量限AQL
批量	样本量	0.10%	0.30%	0.50%	1.00%	2.00%
200	15	0.985 1	0.955 9	0.927 6	0.860 1	0.738 6
232	17	0.983 1	0.950 2	0.918 3	0.842 9	0.709 3
283	20	0.980 2	0.941 7	0.904 6	0.817 9	0.667 6
362	24	0.976 3	0.930 4	0.886 7	0.785 7	0.615 8
487	30	0.970 4	0.913 8	0.860 4	0.739 7	0.545 5
686	40	0.960 8	0.886 8	0.818 3	0.669 0	0.445 7
1000	56	0.945 5	0.845 1	0.755 3	0.569 6	0.322 6

批量	样本量	接受质量限AQL
		0.10%		0.30%		0.50%		1.00%
		L（p）	ICI	L（p）	ICI	L（p）	ICI	L（p）	ICI
200	15	0.985	2.267	0.956	2.200	0.928	2.134	0.860	1.979
232	17	0.983	2.326	0.950	2.248	0.918	2.172	0.843	1.994
283	20	0.980	2.403	0.942	2.309	0.905	2.218	0.818	2.005
362	24	0.976	2.498	0.930	2.381	0.887	2.269	0.786	2.010
487	30	0.970	2.608	0.914	2.456	0.860	2.312	0.740	1.988
686	40	0.961	2.725	0.887	2.515	0.818	2.321	0.669	1.897
1000	56	0.946	2.837	0.845	2.535	0.755	2.266	0.570	1.709