多元分析

We studied China and fluctuation in business cycle with statistical methods for the first time roundly and systematically, including coefficient correlation, linear regression, turning point coefficient, autocorrelation coefficient, grey system theory, VAR and time series analysis.

第一次全面系统运用统计学方法研究我国经济周期波动，包括相关系数法、一元和多元回归、转折点系数检验、自相关系数检验、灰色关联度、VAR向量自回归和确定性时间序列等方法，第一次把灰色关联分析方法应用于经济周期波动研究。

In this paper , on the basis of the vector theory of optical refraction a scanning trace of 45 ° multi-parallel scanning mirror was analysed , and the corresponding formulas are given.

本文在光反射矢量理论基础上，对45°镜多元并扫探测器并扫成像特性和扫描轨迹进行了分析，得到了探测平面上任意位置探测器元的扫描轨迹公式。

This passage analyzes the advantage and disadvantage of the Boolean Model and the Vector Space Model in information retrieval model: the Boolean Model is simple to realize, but its classification ability is limited and the logic expression formula is strict.

本文分析了信息检索中传统文档特征表示的布尔逻辑模型和向量空间模型的优缺点：布尔逻辑模型虽机制简单、容易实现，但是它的分类能力有限且逻辑表达式过于严格；向量空间模型将文档映射到连续域向量空间，为进一步的权重计算等多元处理提供了基础，但容易忽略文档集合中各个文档的一些共有特征。

Five main stalk crops planted in northern China including wheat, corn, broomcorn, soybean, and millet, were chosen to be the samples of the experiments. About seven morphological traits (such as plant height, ear length, ear weight, moisture content and so on) were measured in the crop mature period. The maximum shear force during shearing process, through static test equipment, at the second internode of the basal stalk, was recorded. And shear strength of each crop was calculated to find the differences of shear strength among different crops. The optimal regression models of shear force and morphological traits were obtained by multiple linear regression method with Statistics Analysis System. The equation based on the regression models was constructed.

本文以北方主要茎秆作物（小麦、玉米、高粱、大豆、谷子）为研究对象，试验测定了成熟期茎秆基部第二节间的最大剪切力及株高、穗长、穗重、含水率等七种形态特性指标，获得了静载情况下相关样本的剪切强度；分析比较了不同茎秆作物剪切强度的差异性，并利用SAS软件对茎秆作物剪切力与形态特性指标进行了多元线性回归，得到了剪切强度对形态特性指标的最优回归方程。

The interviews were done with the following research tools:(1) Basic materials to desribe the case (2) Basic information from the caregiver.(3) The Camberwell Assessment of Need scale(4)WHO Quality of Life Measure-abbreviated version-taiwan (5) An Burden scaled abbreviated version. T-TEST , ANOVA and multiple regression analysis were used in the analysis.

研究工具包括个案基本资料表、主要照顾者基本资料、精神患者的CAN中文版量表、世界卫生组织生活品质问卷台湾简明版、精神患者照顾者负荷量表简短版，采用 T-TEST、ANOVA与多元回归的统计分析。

The investigation object of this paper is the standard canonical form. In order to the mean square error, I analyze the existence and choiceness of ridge regression K in some spectrum.

本文以多元线性回归模型的典则形式为研究对象，从减小均方误差的角度出发，在一定的范围内分析了岭参数K 的存在性和岭估计的优良性。

The effect of the form(including individual,complex and complex proportion),the dose of graphite,carbon black,carborundum and the alkalinity of base slag on the melting speed were studied.

以石墨、炭黑、碳化硅等三种含碳材料和碱度分别为0.8、1.0和1.2的基渣为原料，研究了炭黑、石墨和SiC加入形式(单独或复合，包括复合时的比例)和加入量以及基渣的碱度等因素对保护渣熔化速度的影响，并对试验数据进行了多元线性回归分析。

We compare and analyse these methods by Monte Carle simulation method on computer.

在多因素控制与诊断方面，本文将两种质量诊断理论的思想应用于多因素诊断，提出了多因素选图与休图相结合以及单因素选图与休图相结合的两种多因素诊断方法，指出了现有多元质量控制方法中存在的缺点，并提出了逐步诊断的思路和三种用于多因素诊断的逐步诊断方法，即顺序统计量逐步诊断法、最小距离逐步诊断法和两种质量逐步诊断法，然后通过统计模拟进行了分析和比较。

This paper provides an algorithm of constructing self adaptive partial least sqaures regression model based on Chebyshev's polynomial.It automatically builds a multinomial model based on Chebyshev's polynomial with less predicting error.

引 言偏最小二乘法[1 ] 是一种多元统计数据分析方法，它克服了自变量之间的多重相关性，既是一类模型式的方法，又是一类认识性的方法，在统计应用中起着重要的作用。

The adjusted coefficient of determination provides such an unbiased estimate in both multiple regression and canonical redundancy analysis.

调整的决定系数提供了针对多元回归和典范冗余分析的无偏估计。

The X-ray diffract was used to analyze the crystal structure of the composite. Results show that after the talc was treated with blend coupling agent, the crystal structure of talc changed, and effect Intercalation phenomenon.

通过X射线衍射分析可知，用混合偶联剂对滑石粉进行预处理后，滑石粉晶体结构发生改变，产生了插层现象，使PP／滑石粉复合材料为纳米复合材料。

An authentic Maui wedding might require the services of a 'kahu', which is a Hawaiian minister.

毛伊可能需要一个真实婚礼服务'kahu'，这是夏威夷部长。