Statistics: Computer Oriented Statistical Methods

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Coursera 课程《面向计算机的统计方法》概览 本课程是“面向计算机的统计方法”的入门介绍。统计学是数学的一个分支,致力于数据的收集、组织、分析、解释和呈现。它涵盖了统计数据的方方面面,包括调查和实验设计方面的数据收集规划。 **统计方法**包括数学公式、模型和技术,这些被用于原始研究数据的统计分析。统计方法的应用能够从研究数据中提取信息,并提供评估研究结果可靠性的不同途径。 **课程内容涵盖:** 均值、标准差、概率、期望、回归、相关性、假设检验等。 **面向计算机的统计方法**强调利用计算机软件和编程语言来执行统计方法。 **计算机在统计学中的优势:** * **效率高,速度快:** 计算机能够高效、快速地处理数据。 * **数据处理能力:** 计算机有助于数据收集、组织、分析、解释和呈现。 * **信息丰富化:** 计算机能使数据更具信息量。 * **信息共享便捷:** 计算机使得信息共享更加容易。 * **数据校正简便:** 数据校正过程也变得更加容易。 **课程单元:** * **单元一:** 频率分布、直方图、频率多边图、算术平均数、中位数、众数、几何平均数、调和平均数、离散度、离散度衡量、离散度系数。 * **单元二:** 概率、概率的加法定理和乘法定理、条件概率、独立事件、逐点独立事件。 * **单元三:** 数学期望、随机变量函数的期望值、期望的性质、方差的性质、协方差。 * **单元四:** 相关性、皮尔逊相关系数、相关系数的计算、双变量频率分布的相关系数、秩相关。

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This Lecture is an introduction to the Course: #Computer-Oriented-Statistical-Methods Statistics is the branch of mathetics that deals with the collection, organization, analysis, interpretation, and presentation of data. #Statistics deals with every aspect of data, including the planning of data collection in terms of the design of #surveys and experiments Statistical methods are 1. Mathematical formulas, 2. models and 3. techniques that are used in statistical analysis of raw research data. The application of statistical methods extracts information from research data and provides different ways to assess the robustness of research outputs. #Methods #Mean #Standard Deviation #Probability #Expectation #Regression #Correlation #Hypothesis Testing and more… Computer Oriented Statistical Methods We use the Computer Software and Programming language to perform the Statistical method on data. Benefits of Computer in Statistics Computer help in data #collection, #organization, #analysis, i#nterpretation and #presentation.Computers are very efficient and fast. Computer help in making the data more informative. It is easy to share the information Data correction is very easyUNIT-IFrequency distribution, Histogram, Frequency Polygram, Arithmetic Mean, median, mode, Geometric Mean, Harmonic Mean, Dispersion, Measures of Dispersion, Coefficients of Dispersion.UNIT-IIProbability, Addition, and multiplication Theorems of Probability, Conditional Probability, Independent events Pointwise independent events.UNIT-IIIMathematical expectation, the Expected value of the function of a random variable, Properties of expectation, Properties of variance, and Covariance.UNIT-IVCorrelation, Karl Pearson's Coefficient of correlation calculation of the correlation, the coefficient for a bivariate frequency distribution, rank correlation

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