基于统计检验的两类玻璃风化规律挖掘与影响分析  

Mining and Influence Analysis of Two Types of Glass Weathering Laws Based on Statistical Test

作　　者：杨楠[1] 宋航 李维文 

机构地区：[1]南京信息工程大学,江苏 南京

出　　处：《应用数学进展》2022年第11期7925-7935,共11页Advances in Applied Mathematics

摘　　要：玻璃艺术史是古代文明的重要组成部分,研究玻璃各基本信息和化学成分之间的关系具有重要意义。本文基于玻璃文物的相关数据,从统计检验等方法探究玻璃各指标之间的关联。对于玻璃基本信息,通过频数统计进行量化分析,再基于列联表的独立性检验,探寻玻璃风化和特征指标之间存在的关联规律;而对于玻璃化学成分数据,基于成分含量得到两类玻璃的重要化学成分,进而对其进行描述性统计分析,并利用方差挖掘分析受风化影响的化学成分。结果表明:玻璃文物的风化情况与玻璃类型存在显著关联,同时玻璃类型、颜色和纹饰之间也存在显著关联;风化后高钾玻璃的二氧化硅含量百分比明显升高,最大可达97%,氧化铅变化不大;而铅钡玻璃的二氧化硅含量有所降低,氧化铅含量有所增加。同时基于方差分析得到结果:对于高钾玻璃,受风化情况影响的有二氧化硅、氧化钾、氧化镁、氧化钙、氧化铁和氧化铝,对于铅钡玻璃有二氧化硅、氧化钠、氧化钙、氧化铅、五氧化二磷和氧化锶。The history of glass art is an important part of an ancient civilization. It is of great significance to study the relationship between basic information and the chemical composition of glass. Based on the relevant data on glass cultural relics, this paper explores the correlation between glass indica-tors from the methods of statistical testing. For the basic information of glass, quantitative analysis is conducted through frequency statistics, and then the association rule between glass weathering and characteristic indicators is explored based on the independence test of contingency table;For the chemical composition data of glass, the important chemical compositions of two types of glass are obtained based on the composition content, and then descriptive statistical analysis is carried out, and the chemical compositions affected by weathering are mined and analyzed by chi square analysis. The results show that there is a significant correlation between the weathering of glass relics and glass types, as well as between glass types, colors and ornamentation;After weathering, the percentage of SiO2 content in high potassium glass increases significantly, up to 97%, and PbO changes little;However, the content of SiO2 in lead barium glass decreased and the content of PbO increased. At the same time, based on variance analysis, the results are obtained: for high potassi-um glass, SiO2, K2O, MgO, CaO, Fe2O3 and Al2O3 are affected by weathering, and for lead barium glass, SiO2, Na2O, CaO, PbO, P2O5 and SrO are affected.

关 键 词：列联表的独立性检验 方差分析 玻璃风化 统计规律 影响分析 

分 类 号：O29[理学—应用数学]