多元统计专业词汇英文

多元统计专业词汇英文
English:
Multivariate statistics is a branch of statistics that deals with the analysis of data sets containing observations on several variables. Some common techniques used in multivariate statistics include multivariate analysis of variance (MANOVA), factor analysis, principal component analysis (PCA), and cluster analysis. MANOVA is used to compare the means of multiple groups simultaneously, taking into account the interrelationships between variables. Factor analysis is used to identify patterns in the relationships between variables, while PCA is used to reduce the dimensionality of the data by finding the most important variables. Cluster analysis is used to group similar observations together based on their characteristics. Other important concepts in multivariate statistics include canonical correlation analysis, discriminant analysis, and structural equation modeling. These techniques are commonly used in fields such as psychology, sociology, biology, and economics to analyze complex data sets and draw meaningful conclusions.
中文翻译:
多元统计是统计学的一个分支，处理包含多个变量观察的数据集的分析。

多元统计中常用的技术包括多元方差分析（MANOVA）、因子分析、主成分
分析（PCA）和聚类分析。

MANOVA用于同时比较多个群体的平均值，考虑变量之间的相互关系。

因子分析用于识别变量之间的关系模式，而PCA
用于通过找到最重要的变量来减少数据的维度。

聚类分析用于根据它们的特征将相似的观察分组在一起。

多元统计中其他重要的概念包括典型相关分析、判别分析和结构方程模型。

这些技术通常用于心理学、社会学、生物学和经济学等领域，以分析复杂的数据集并得出有意义的结论。