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所在平台: Udemy |
课程主页: https://www.udemy.com/course/correlation/
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**课程名称：** 相关性 (Correlation) **课程概述：** 本课程深入探讨了“相关性”这一概念，解释了两个变量如何随着彼此的变化而变化。课程通过一系列生动有趣的例子来说明相关性的实际应用，包括： * **降雨量与农产品产量：** 解释了自然因素对农业收成的影响。 * **供应量与价格：** 阐述了市场供需关系如何影响商品价格。 * **年龄与玩耍习惯：** 分析了个人发展阶段与行为模式的关系。 * **温度与冰淇淋销量：** 揭示了天气对消费需求的影响。 * **温度与手机销量：** 探讨了环境变化对特定商品销售的潜在关联。 * **体重与身高：** 展示了生物学特征之间的典型相关性。 课程还重点区分了**相关性与因果关系**，并深入分析了四种可能情况： 1. 一个变量影响另一个变量。 2. 两个变量相互影响。 3. 两个变量可能受到外部因素的共同影响。 4. 高度相关性也可能仅仅是巧合。 **相关性的度量：** 课程详细介绍了**皮尔逊相关系数 (Karl Pearson's Coefficient of correlation)**，包括： * 皮尔逊相关系数的含义。 * 通过直接法计算皮尔逊相关系数。 * 通过简便法计算皮尔逊相关系数。 * 离散数列、连续数列、双变量频数分布以及分组数列中的相关性计算。 此外，课程还介绍了**斯皮尔曼等级差法 (Spearman's Rank Difference Method)**，涵盖： * 斯皮尔曼等级差法的含义。 * 斯皮尔曼等级排序法。 * 相同分数情况下的处理。 课程还讲解了**概然误差 (Probable Error)** 的含义及其计算。 **学习目标：** 通过本课程的学习，学员将能够： * 理解相关性的基本含义和重要性。 * 识别不同情境下的相关性。 * 区分相关性与因果关系。 * 掌握皮尔逊相关系数和斯皮尔曼等级差法的计算方法。 * 能够运用相关性分析解决实际问题。 **练习与实践：** 课程包含一些重要练习题，帮助学员巩固所学知识，并提供实践问题，以加强应用能力。
Meaning of CorrelationExamples of correlation (i) Rain: Agricultural product = Relation (ii) Supply: Price = Relation (iii) Age: Playing Habit = Relation (iv) Temperature: Sale of ice cream = Relation (v) Temperature: Sale of Mobile = Relation (vi) Weight: Height = RelationCorrelation and Cause-effect relationship1. One variable may act upon the other2. The two variables may act upon each other3. The two variables may be acted upon by outside influences4. A high correlation coefficient may be derived due to sheer coincidenceDegree of CorrelationKarl Pearson's Coefficient of correlationMeaning of Karl Pearson's Coefficient of correlationKarl Pearson's Coefficient of correlation by Calculation of correlation by Direct MethodKarl Pearson's Coefficient of correlation by Calculation of correlation by Shortcut MethodKarl Pearson's Coefficient of correlation In discrete and continuous series Or Correlation in Bivariate frequency distribution Or Correlation in grouped seriesSome Important Questions for PracticeSpearman's Rank Difference MethodMeaning of Spearman's Rank Difference MethodSpearman's Ranking methodProblem of Similar marksProbable ErrorMeaning of Probable ErrorSome Important practical problems for PracticeMeaning of Correlation:The term correlation indicates the relationship in between two such variables in which with change in the value of one variable, the values of the other variable also changes. It is likely that such relationship may be obtained in two series relating to the height and weight of a group of a person. This analysis is a statistical procedure by which we can determine the degree of association or relationship between two or more variables.
