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Introduction to Statistics · LearnSpace
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Introduction to Statistics

Курс от Stanford Online
Начальный≈ 14.4 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Stanford's "Introduction to Statistics" teaches you statistical thinking concepts that are essential for learning from data and communicating insights. By the end of the course, you will be able to perform exploratory data analysis, understand key principles of sampling, and select appropriate tests of significance for multiple contexts. You will gain the foundational skills that prepare you to pursue more advanced topics in statistical thinking and machine learning. Topics include Descriptive Statistics, Sampling and Randomized Controlled Experiments, Probability, Sampling Distributions and the Central Limit Theorem, Regression, Common Tests of Significance, Resampling, Multiple Comparisons.

Навыки, которые вы освоите

Statistical InferenceStatistical Hypothesis TestingProbabilityStatistical AnalysisSampling (Statistics)Descriptive StatisticsStatistical MethodsProbability DistributionRegression AnalysisProbability & StatisticsStatistical VisualizationCorrelation AnalysisData LiteracyData AnalysisExploratory Data AnalysisStatistical ModelingStatisticsStatistical Reporting

Программа курса

12 модулей · 100 учебных материалов

01Introduction and Descriptive Statistics for Exploring Data16 материалов

Getting Started

Important information about your courseЧтениеQuick Quiz about the requirementsЗадание

Welcome and Introductions

Course WelcomeВидеоMeet Guenther Walther

Учитесь у экспертов

Guenther Walther

John A. Overdeck Professor

Introduction to Statistics
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Обучение на Coursera

≈ 14.4 ч

12 модулей

Язык: Английский

Субтитры: Китайский (Тайвань), Арабский, Французский, Бенгальский, Узбекский, Украинский, Китайский (Китай), Греческий, Итальянский, Бразильский португальский, Вьетнамский, Нидерландский, Корейский, Немецкий, Пушту, Урду, Русский, Тайский, Индонезийский, Шведский, Турецкий, Азербайджанский, Испанский, Дари, Хинди, Японский, Финский, Казахский, Малайский, Венгерский, Польский

Часть программы вашего университета
Видео
Meeting You - Pre-Course SurveyЧтение

Descriptive Statistics and Visualizing Information

IntroductionВидеоPie Chart, Bar Graph, and HistogramsВидеоBox-and-Whisker Plot and Scatter PlotВидеоProviding Context is Key for Statistical AnalysesВидеоPitfalls when Visualizing InformationВидеоChoosing and Reading Data VisualizationsDIALOGUE

Numerical Summary Measures

Mean and MedianВидеоPercentiles, the Five Number Summary, and Standard DeviationВидеоPractice Quiz: Summarizing and Interpreting DataЗадание

Summary

[EXTRA] Industry Insight: Introduction to Andrew RadinВидеоIntroduction and Descriptive Statistics for Exploring DataЗадание
02Producing Data and Sampling7 материалов

Introduction

IntroductionВидео

Simple Random Sampling and Other Sampling Plans

Simple Random Sampling and Stratified Random SamplingВидеоBias and Chance ErrorВидео

Randomized Controlled Experiments and Observation Studies

Observation vs. Experiment, Confounding, and the Placebo EffectВидеоThe Logic of Randomized Controlled ExperimentsВидео

Summary

[EXTRA] Industry Insights: Filing a Patent for twoXARВидеоProducing Data and SamplingЗадание
03Probability9 материалов

Introduction

The Interpretation of ProbabilityВидео

Four Basic Rules

Complement, Equally Likely Outcomes, Addition, and MultiplicationВидеоFour Rules Example: How to Deal with "At Least One"Видео

Conditional Probability and Bayes' Rule

Solving Problems by Total EnumerationВидеоBayes' RuleВидео

Examples and Case Studies

Bayesian AnalysisВидеоWarner's Randomized Response ModelВидео

Summary

[EXTRA] Industry Insights: Drug Discovery at twoXARВидеоProbabilityЗадание
04Normal Approximation and Binomial Distribution11 материалов

Introduction

The Normal CurveВидео

The Normal Approximation

The Empirical RuleВидеоStandardizing Data and the Standard Normal CurveВидеоNormal ApproximationВидеоComputing Percentiles with the Normal ApproximationВидео

Binomial Distributions

The Binomial Setting and Binomial CoefficientВидеоThe Binomial FormulaВидеоRandom Variables and Probability HistogramsВидеоNormal Approximation to the Binomial; Sampling Without ReplacementВидео

Summary

[EXTRA] Industry Insights: Opportunities in Life SciencesВидеоThe Normal Approximation for Data and the Binomial DistributionЗадание
05Sampling Distributions and the Central Limit Theorem10 материалов

Introduction

Parameter and StatisticВидео

The Expected Value, Standard Error, and Sampling Distribution of a Statistic

Expected Value and Standard ErrorВидеоEV and SE of Sum, Percentages, and When SimulatingВидеоThe Square Root LawВидеоThe Sampling DistributionВидеоThree HistogramsВидео

The Law of Large Numbers and the Central Limit Theorem

The Law of Large NumbersВидеоThe Central Limit TheoremВидеоWhen does the Central Limit Theorem Apply?Видео

Summary

Sampling Distributions and the Central Limit TheoremЗадание
06Regression11 материалов

Introduction

Prediction is a Key Task of StatisticsВидео

Correlation

The Correlation CoefficientВидеоCorrelation Measures Linear AssociationВидео

Inference in Regression

Regression Line and the Method of Least SquaresВидеоRegression to the Mean, The Regression FallacyВидеоPredicting y from x and x from yВидеоNormal Approximation Given xВидео

Residuals

Residual Plots, Heteroscedasticity, and TransformationsВидеоOutliers and Influential PointsВидео

Summary

[EXTRA] Industry Insights: Challenges to Using Data Science in MedicineВидеоRegressionЗадание
07Confidence Intervals5 материалов

Introduction

Interpretation of a Confidence IntervalВидео

Confidence Intervals via the Central Limit Theorem

Using the Central Limit Theorem to Find a Confidence IntervalВидеоEstimating the Standard Error with the Bootstrap PrincipleВидеоMore About Confidence IntervalsВидео

Summary

Confidence IntervalsЗадание
08Tests of Significance10 материалов

Introduction

The Idea Behind Testing HypothesesВидео

Test Statistics and p-values

Setting Up a Test StatisticВидеоp-values as Measures of EvidenceВидео

More on Testing

Distinguishing Coke and Pepsi by TasteВидеоThe t-testВидеоStatistical Significance vs. ImportanceВидео

Comparing Two Populations

The Two-Sample z-testВидеоMatched PairsВидео

Summary

[EXTRA] Industry Insights: Hiring Data Science TalentВидеоTests of SignificanceЗадание
09Resampling6 материалов

Introduction

Using Computer Simulations in Place of CalculationsВидео

The Monte Carlo Method

Using the Law of Large Numbers to Approximate Quantities of InterestВидео

The Bootstrap

Plug-in PrincipleВидео

More About the Bootstrap

The Parametric Bootstrap and Bootstrap Confidence IntervalsВидеоBootstrapping in RegressionВидео

Summary

ResamplingЗадание
10Analysis of Categorical Data4 материалов

Introduction

Relationships Between Two Categorical VariablesВидео

The Chi-Square Test for Goodness of Fit

The Color Proportions of M&MsВидео

The Chi-Square Test for Homogeneity and Independence

The Chi-Square Test for Homogeneity and IndependenceВидео

Summary

Analysis of Categorical DataЗадание
11One-Way Analysis of Variance (ANOVA)6 материалов

Introduction

Comparing Several MeansВидео

The Analysis of Variance F-Test

The Idea of Analysis of VarianceВидеоUsing the F Distribution to Evaluate ANOVAВидеоMore on ANOVAВидео

Summary

[EXTRA] Industry Insights: Starting Your Career in Data ScienceВидеоOne-Way Analysis of VarianceЗадание
12Multiple Comparisons5 материалов

Introduction

Data Snooping and the Multiple Testing Fallacy, Reproducibility and ReplicabilityВидео

Accounting for Multiple Comparisons

Bonferroni Correction, False Discovery Rate, and Data SplittingВидео

Summary

SummaryВидеоMultiple ComparisonsЗадание

Final Words

Thank You and Course EvaluationЧтение