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所在平台: Coursera |
课程主页: https://www.coursera.org/learn/hypothesis-testing-confidence-intervals
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课程名称:商业假设检验与置信区间估计的应用 概述:置信区间和假设检验是商业统计工具箱中非常重要的工具,掌握这些主题将有助于提升商业决策能力,并使您能够理解和衡量各种商业流程中的“风险”或“不确定性”。这是“商业统计与分析”专业的第三门课程,课程通过介绍置信区间和假设检验来提升您对商业统计的理解。我们首先对这些工具及其在商业中的应用进行概念上的理解,然后介绍构建置信区间和进行不同类型假设检验的各种计算,应用方式简单易懂。 课程要求:成功完成课程作业,学生需使用 Windows 版本的 Microsoft Excel 2010 或更高版本,请注意,早期版本的 Microsoft Excel(2007 及以前)与本课程涵盖的一些 Excel 功能不兼容。 **第一周** 模块1:置信区间 - 介绍 本模块将让您对置信区间的概念及其构建方法有初步了解。我们将介绍置信区间的各种组成部分,如 t 分布、t 统计量、z 统计量及其不同的 Excel 函数。然后,我们将使用这些组成部分构建置信区间。 涉及的主题包括: - t 分布、T.DIST 和 T.INV Excel 函数的介绍 - 置信区间的概念理解 - z 统计量和 t 统计量 - 利用 z 统计量和 t 统计量构建置信区间 **第二周** 模块2:置信区间 - 应用 本模块展示了置信区间的多种商业应用,其中包括使用置信区间计算适当样本大小的应用。同时,我们还将介绍针对总体比例的置信区间,最后开始引入假设检验的概念。 涉及的主题包括: - 置信区间的应用 - 总体比例的置信区间 - 样本大小计算 - 假设检验的介绍 **第三周** 模块3:假设检验 本模块引入假设检验。您将理解假设检验的逻辑,了解进行假设检验的四个步骤,并应用这些步骤于总体均值和总体比例的假设检验中。您将理解单侧假设检验与双侧假设检验的区别,以及与假设检验相关的第一类错误和第二类错误,以及减少此类错误的方法。 涉及的主题包括: - 假设检验的逻辑 - 进行假设检验的四个步骤 - 单侧和双侧假设检验 - 假设检验的指导、公式及应用 - 总体比例的假设检验 - 假设检验中的第一类和第二类错误 **第四周** 模块4:假设检验 - 均值差异 在本模块中,您将应用假设检验来测试两组不同数据之间的差异,这类假设检验称为均值差异检验。我们将介绍三种均值差异检验,并将其应用于各种商业案例中。同时,我们也将介绍 Excel 对话框以进行此类假设检验。 涉及的主题包括: - 均值差异假设检验介绍 - 均值差异假设检验的应用 - 等方差和非等方差假设,以及配对 t 检验的均值差异 - 更多应用 课程大纲: - 第一部分:置信区间 - 介绍 - 第二部分:置信区间 - 应用 - 第三部分:假设检验 - 第四部分:假设检验 - 均值差异
Part: 1
Title:Confidence Interval - Introduction
Description:
Part: 2
Title:Confidence Interval - Applications
Description:
Part: 3
Title:Hypothesis Testing
Description:
Part: 4
Title:Hypothesis Test - Differences in Mean
Description:
Confidence intervals and Hypothesis tests are very important tools in the Business Statistics toolbox. A mastery over these topics will help enhance your business decision making and allow you to understand and measure the extent of ‘risk’ or ‘uncertainty’ in various business processes. This is the third course in the specialization "Business Statistics and Analysis" and the course advances your knowledge about Business Statistics by introducing you to Confidence Intervals and Hypothesis Testing. We first conceptually understand these tools and their business application. We then introduce various calculations to constructing confidence intervals and to conduct different kinds of Hypothesis Tests. These are done by easy to understand applications. To successfully complete course assignments, students must have access to a Windows version of Microsoft Excel 2010 or later. Please note that earlier versions of Microsoft Excel (2007 and earlier) will not be compatible to some Excel functions covered in this course. WEEK 1 Module 1: Confidence Interval - Introduction In this module you will get to conceptually understand what a confidence interval is and how is its constructed. We will introduce the various building blocks for the confidence interval such as the t-distribution, the t-statistic, the z-statistic and their various excel formulas. We will then use these building blocks to construct confidence intervals. Topics covered include: • Introducing the t-distribution, the T.DIST and T.INV excel functions • Conceptual understanding of a Confidence Interval • The z-statistic and the t-statistic • Constructing a Confidence Interval using z-statistic and t-statistic WEEK 2 Module 2: Confidence Interval - Applications This module presents various business applications of the confidence interval including an application where we use the confidence interval to calculate an appropriate sample size. We also introduce with an application, the confidence interval for a population proportion. Towards the close of module we start introducing the concept of Hypothesis Testing. Topics covered include: • Applications of Confidence Interval • Confidence Interval for a Population Proportion • Sample Size Calculation • Hypothesis Testing, An Introduction WEEK 3 Module 3: Hypothesis Testing This module introduces Hypothesis Testing. You get to understand the logic behind hypothesis tests. The four steps for conducting a hypothesis test are introduced and you get to apply them for hypothesis tests for a population mean as well as population proportion. You will understand the difference between single tail hypothesis tests and two tail hypothesis tests and also the Type I and Type II errors associated with hypothesis tests and ways to reduce such errors. Topics covered include: • The Logic of Hypothesis Testing • The Four Steps for conducting a Hypothesis Test • Single Tail and Two Tail Hypothesis Tests • Guidelines, Formulas and an Application of Hypothesis Test • Hypothesis Test for a Population Proportion • Type I and Type II Errors in a Hypothesis WEEK 4 Module 4: Hypothesis Test - Differences in Mean In this module, you'll apply Hypothesis Tests to test the difference between two different data, such hypothesis tests are called difference in means tests. We will introduce the three kinds of difference in means test and apply them to various business applications. We will also introduce the Excel dialog box to conduct such hypothesis tests. Topics covered include: • Introducing the Difference-In-Means Hypothesis Test • Applications of the Difference-In-Means Hypothesis Test • The Equal & Unequal Variance Assumption and the Paired t-test for difference in means. • Some more applications