Statistical Concepts Explained and Applied in R

Thoroughly understand statistical concepts, apply them in R and interpret the results correctly with maximum validity

What you will learn

Thorough understanding of basic and advanced statistical theory

How to perform simple and advanced statistical analyses in R

How to fully and correctly interpret the results

How to correctly present the results in papers or reports

How to get reproducible results with every type of analysis carried out in the course

How to make accurate predictions based on your regression results

How to deal with real issues in statistical modeling

The concepts are made simple and the understanding about them is at an advanced level once you finish the course

Description

This course takes you from basic statistics and linear regression into more advanced concepts, such as multivariate regression, anovas, logistic and time analyses. It offers extensive examples of application in R and complete guidance of statistical validity, as required for in academic papers or while working as a statistician.

Statistical models need to fulfill many requirements and need to pass several tests, and these make up an important part of the lectures.

This course shows you how to understand, interpret, perform and validate most common regressions, from theory and concept to finished (gradable) paper/report by guiding you through all mandatory steps and associated tests.

Taught by a university lecturer in Econometrics and Math, with several international statistical journal publications and a Ph.D. in Economics, you are offered the best route to success, either in academia or in the business world.

The course contents focus on theory, data and analysis, while triangulating important theorems and tests of validity into ensuring robust results and reproducible analyses. Start learning today for a brighter future!

English
language

Content

Add-On Information:

Course Overview
Bridge the Theory-Practice Gap: This program serves as a vital conduit between abstract mathematical probability and the functional application of data science in modern environments.
Data-Driven Storytelling: Beyond just numbers, the curriculum emphasizes the narrative aspect of data, teaching students how to uncover the underlying signal within noisy datasets.
Modular Learning Structure: The course is organized into logical segments that gradually escalate in complexity, ensuring a firm foundation before tackling multifaceted modeling challenges.
Emphasis on Intuition: Instead of relying on rote memorization of formulas, the focus is placed on developing a deep “statistical gut feeling” for how variables interact.
Requirements / Prerequisites
Computing Environment: Students must have access to a computer capable of running the latest versions of R and RStudio, which are the primary environments for all exercises.
Mathematical Foundation: A basic understanding of high-school level algebra and arithmetic is necessary to follow the logic of the underlying equations.
Open-Mindedness to Code: While no prior programming experience is strictly required, a willingness to engage with a command-line interface and script-based logic is essential for success.
Curiosity and Persistence: Success in this course requires a dedication to troubleshooting code and a genuine interest in the “why” behind data patterns.
Skills Covered / Tools Used
The R Ecosystem: Gain proficiency in utilizing the R programming language, specifically focusing on its robust library of statistical packages.
Exploratory Data Analysis (EDA): Master the art of initial data inspection to identify outliers, missing values, and distribution shapes before formal testing begins.
Graphical Mastery: Utilize advanced visualization libraries to create high-quality plots that reveal correlations and trends effectively.
Diagnostic Auditing: Learn to use residual analysis and influence metrics to verify that the assumptions of your statistical models are actually met.
Data Wrangling: Develop the ability to clean, subset, and transform messy real-world data into a format suitable for rigorous analysis.
Benefits / Outcomes
Professional Authority: Gain the confidence to defend your analytical choices and findings in high-stakes business or academic presentations.
Critical Literacy: Develop the ability to critically evaluate and debunk flawed statistical claims found in media reports or peer-reviewed literature.
Workflow Efficiency: Transition from manual, error-prone spreadsheet calculations to automated, script-based workflows that save time and reduce mistakes.
Cognitive Versatility: The problem-solving skills acquired through statistical modeling are highly transferable to fields ranging from economics to social sciences and engineering.
PROS
Conceptual Clarity: Complex mathematical hurdles are broken down into plain language, making advanced topics accessible to non-mathematicians.
Industry-Standard Tools: Learning R ensures that the skills you acquire are directly applicable in both corporate data science and academic research roles.
High Transferability: The methodologies taught are universal, allowing you to pivot between different data-related industries with ease.
CONS
Initial Steep Learning Curve: Students who have never utilized a coding language may find the first few modules challenging as they adjust to the syntax and logic of a script-based environment.

Introduction to the course

Introduction

Single Linear Regression

Install R, RStudio and Basic Functionality
Basics of Linear Regression
Basics of Linear Regression Ctnd
Linear Regression Analysis
Linear Relationships
Line of Best Fit, SSE and MSE
Linear Regression Analysis Ctnd
Regression Results and Interpretation
Predicting Future Profits
Statistical Validity Tests
Statistical Validity Discussion
Additional Resources
Single Linear Regression

Multiple Regression

Multiple Linear Regression
Importing the data
Correlation Matrix and MLR
MLR Results and ANOVA
The Best Model?
Interaction Terms and Validity Testing
ANOVA and Predictions

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