因子分析法在地磁图适配性分析中的应用

Application of factor analysis method in the adaptability analysis of geomagnetic map

针对多特征参数分析地磁适配性时,易存在重复表征现象的问题,提出利用因子分析法提取主要特征参数;对于因子分析法单一采用累积方差贡献率作为权重在评价过程中不充分不全面的问题,提出熵值法结合因子分析法的方差贡献率对所提取的公共因子进行赋权,最后将权重与因子得分进行线性组合求得综合评价值。综合评价值越大,候选匹配区的适配性越好,以此分析出适配性较好的候选匹配区,为后期地磁匹配做准备。为验证所提方法的有效性,利用地磁匹配算法对各个候选匹配区进行匹配验证,其结果表明:利用因子分析法得出的结果与利用地磁匹配算法得出的结果一致,表明利用因子分析法对地磁基准图候选区域适配性进行分析是可行的。

Aiming at the problem of repeated representation when analyzing geomagnetic adaptability with multiple characteristic parameters,this paper proposes to extract the main characteristic parameters by factor analysis.For the problem that the factor analysis method only uses the cumulative variance contribution rate as the weight is not sufficient and comprehensive in the evaluation process,the entropy method combined with the variance contribution rate of factor analysis method is proposed to weight the extracted common factors.Finally,the weight and factor score are linearly combined to obtain the comprehensive evaluation value.The larger the comprehensive value is,the better the adaptability of the candidate matching area is.Based on this,the candidate matching area with better adaptability is analyzed to prepare for geomagnetic matching in the later stage.In order to verify the effectiveness of the proposed method,the geomagnetic matching algorithm is used to verify the matching of each candidate matching area.The results show that the results obtained by factor analysis method are consistent with those obtained by geomagnetic matching algorithm,which shows that it is feasible to analyze the adaptability of candidate areas of geomagnetic benchmark map by factor analysis method.