Inferential Statistics

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University of Amsterdam

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In this second module of week 1 we dive right in with a quick refresher on statistical hypothesis testing. Since we're assuming you just completed the course Basic Statistics, our treatment is a little more abstract and we go really fast! We provide the relevant Basic Statistics videos in case you need a gentler introduction. After the refresher we discuss methods to compare two groups on a categorical or quantitative dependent variable. We use different test for independent and dependent groups.

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Inferential statistics are concerned with making inferences based on relations found in the sample, to relations in the population. Inferential statistics help us decide, for example, whether the differences between groups that we see in our data are strong enough to provide support for our hypothesis that group differences exist in general, in the entire population. We will start by considering the basic principles of significance testing: the sampling and test statistic distribution, p-value, significance level, power and type I and type II errors. Then we will consider a large number of statistical tests and techniques that help us make inferences for different types of data and different types of research designs. For each individual statistical test we will consider how it works, for what data and design it is appropriate and how results should be interpreted. You will also learn how to perform these tests using freely available software. For those who are already familiar with statistical testing: We will look at z-tests for 1 and 2 proportions, McNemar's test for dependent proportions, t-tests for 1 mean (paired differences) and 2 means, the Chi-square test for independence, Fisher’s exact test, simple regression (linear and exponential) and multiple regression (linear and logistic), one way and factorial analysis of variance, and non-parametric tests (Wilcoxon, Kruskal-Wallis, sign test, signed-rank test, runs test).

推论统计:推论统计涉及根据样本中发现的关系对总体中的关系进行推论。推论统计可以帮助我们确定,例如,我们在数据中看到的群体之间的差异是否足够大,足以支持我们的假设,即整个人群中普遍存在群体差异。 我们将首先考虑重要性检验的基本原理:抽样和检验统计量分布,p值,显着性水平,功效以及I型和II型误差。然后,我们将考虑大量统计测试和技术,这些统计测试和技术可帮助我们推断不同类型的数据和不同类型的研究设计。对于每个单独的统计测试,我们将考虑其工作方式,适用于哪些数据和设计以及应如何解释结果。您还将学习如何使用免费提供的软件执行这些测试。 对于已经熟悉统计测试的人们:我们将看一下1和2个比例的z检验,麦克尼马尔的相关比例的检验,1个均值(成对差异)和2个均值的t检验,独立性的卡方检验。 ,Fisher精确检验,简单回归(线性和指数)和多元回归(线性和逻辑),方差的一种方法和阶乘分析以及非参数检验(Wilcoxon,Kruskal-Wallis,符号检验,符号秩检验,运行)测试)。

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