判别分析

Through simplification of key normal equation set,the decision function is obtained and the effect of decision is not affected.

给出了多元判别分析的数学原理和方法，通过对正规方程组解的简化处理，在不影响分类判别决策的前提下获得了判别函数。

The results showed the method of discriminant analysis was useful and the discriminant function was valid.

因此，所用的判别分析方法可行，建立的判别函数有效。

In order to discriminate ordinal and periodic data, new discriminant analysis method should be explored.

要对有序又有周期数据进行判别分析，就要探索有序判别的新方法。

The fourth is to find that the mean of house total prices, floorage and unit price in the performing group is higher than that in the nonperforming group in description of the independent variable.

判别分析结果显示，绝对财务负担因子的判别系数低于财务负担比率因子，与变量描述性统计分析所得出的初步结论一致。

Innovations: The first innovation is that it is targeted on the banking and overcomes incomparability by the disparity of different industries; this thesis analyzes financial condition of listed banks based on free cash flow which overcomes the shortage of operating activity net cash flow and financial indexes based on accrual basis, creating cash flow index early-warning model, binding the result of factor analysis and discriminant analysis to evaluate comprehensively, giving warning limit and judging warning degree based on factor score and discriminant score and reducing misjudgment of single statistical method; Financial early-warning system of listed banks is constructed with cash flow index early-warning system and non-financial index BSC early-warning system.

本文的创新点：仅以银行业为研究对象，克服行业差距带来的不可比性问题；以自由现金流量为基点分析上市银行的财务状况，克服以往学者所采用的经营活动净现金流和以权责发生制为基础的财务指标的不足，创建了现金流指标预警模型；综合因子分析和判别分析两种统计方法，以因子得分和判别得分为尺度设置警限、判断警度，降低单一统计方法的误判性；融合现金流指标预警体系和非财务指标的平衡计分卡预警体系构建了上市银行财务预警体系。

Among them, the algorithm of Eigenface, the most widely-used method of linear map based on PCA, has become the mainstream criterion to test the performance of various FV systems.

目前，已经提出了许多特征提取的方法，其中基于主成分分析(PCA Principle Component Analysis)的Eigenface算法及其变形已经成为测试人脸识别系统性能的基准算法，该方法是模式识别判别分析中最常用的一种线性映射方法，是根据样本点在多维模式空间的位置分布，以样本点在空间中变化最大方向，即方差最大的方向，作为判别矢量来实现数据的特征提取与数据压缩的。

Based on data collected from health check-up of a group of submariners,the authors established a discriminatory model of submariner's health level by the application of Bayes progressive discrimination method.

根据一组潜艇艇员体格检查资料中的14项指标，应用Bayes逐步判别分析法，选择其中6项指标建立了潜艇艇员健康等级的判别模型，用所建立的判别模型对原数据进行回代考核，总回代符合率为74.1％。

The array consisted of 8 piezoelectric crystal sensors, each coated with an adsorptive material with unselective, but different response characteristics. The frequency shift data obtained from the array as the response to mixed vapour of common organic solvents of small molecular size were treated by using stepwise discrimination analysis, and five coatings that provided the maximum level of analyte discriminating ability were selected. The array constructed from these solvents was applied to recognizing alcoholic hydroxyl, carbonyl from other organic functional groups. The principal component analysis was applied to the original and autoscalled data. The two-dimensional display of the data showed well-defined clusters for solvents containing different functional groups separated from each other. The array was applied to identifying spirits and beverages.

该阵列由八个压电晶体传感器组成，每个传感器涂以具有广谱响应性能的不同吸附活性材料，阵列对常见小分子有机溶剂混合蒸气的响应频移数据采用逐步判别分析处理，选出五个供信能力最佳的判别变量，以此构成的阵列用于小分子有机溶剂混合蒸气中醇羟基、羰基与其它官能团的识别，并采用主成分分析法降维投影，在二维空间含相同官能团的物质聚为一类；阵列可用于酒类、软饮料的识别。

The discriminal analyzing also separated samples from changjiang and the other four populations. The mean accurancy rate of discrimination of female crabs and male crab were 74.2% and 75.4％.

判别分析亦可将长江蟹与合浦蟹、辽河蟹、绥芬蟹和杂交蟹分开，雌蟹整体判别率为74.2%；雄蟹整体判别率为75.4％。

According to the statistics significant test and whether the sign of factor loading is consistent with the sign of factor discriminant coefficient, every variable's impact direction on residential mortgage default risk can be inferred.

因此，本文利用大规模调查数据应用因子分析从所选的19个变量中识别出了8个因子，并应用这8个因子进行判别分析，再根据统计显著性检验以及因子荷重符号与因子的判别系数符号方向是否一致的标准，推断出了各变量对个人住房抵押贷款违约风险的影响方向。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。