Data Science Statistics

Statistical Methods for Data Science

A practical, data-driven foundation in inference, modeling, and decision-making with Professor Nathan Ward

Statistical Methods for Data Science logo
Quick Course Facts
19
Self-paced, Online, Lessons
19
Videos and/or Narrated Presentations
6.3
Approximate Hours of Course Media
About the Statistical Methods for Data Science Course

Statistical Methods for Data Science is a practical course that teaches the statistical tools behind strong analysis, clear inference, and smarter decisions. Designed for learners who want a data-driven foundation in inference, modeling, and decision-making with Professor Nathan Ward, it helps you turn raw data into reliable insights for Data Science work.

Build Practical Data Science Skills With Statistical Methods

  • Learn the core statistical ideas that support confident Data Science analysis
  • Understand how to work with data types, summaries, and visualizations effectively
  • Apply probability, sampling, and estimation to real analytical problems
  • Use hypothesis testing, regression, and model evaluation to support decisions

A practical, data-driven foundation in inference, modeling, and decision-making with Professor Nathan Ward.

This course begins with why statistics matters in Data Science and builds a strong foundation in variables, measurement, and data quality. You will learn how to describe data with center, spread, and shape, and how to use charts to reveal distributions and relationships. These early lessons help you see data more clearly and prepare you for deeper analytical work.

As the course progresses, you will study probability, common distributions, sampling, the central limit theorem, estimation, and confidence intervals. You will also explore hypothesis testing, p-values, errors, power, t-tests, proportion comparisons, correlation, and association. Each topic is designed to strengthen your ability to interpret evidence, measure uncertainty, and make informed conclusions from data.

You will then move into regression analysis, including simple and multiple regression, diagnostics, chi-square tests, bootstrap and permutation methods, cross-validation, and model evaluation. The course closes with guidance on communicating statistical results clearly and professionally. By the end, you will be more confident reading, analyzing, and explaining data, and you will be better prepared to apply Statistical Methods for Data Science in real-world settings.

Course Lessons

Full lesson breakdown

Lessons are organized by topic area and each includes descriptive copy for search visibility and student clarity.

Course Foundations and Analytical Thinking

1 lesson

This lesson explains why statistics is a core skill in data science, not just a math prerequisite. You will learn how statistical thinking helps you separate signal from noise, make decisions under un…

Variables, Measurement, and Data Quality

1 lesson

Lesson 2: Types of Data and Data Structures

18 min
This lesson introduces the core language of data science: what a variable is, how data are organized, and why measurement choices affect every analysis that follows. You will learn to distinguish cate…

Center, Spread, and Shape

1 lesson

Lesson 3: Describing Data with Summaries

19 min
In this lesson, we focus on how to describe a dataset clearly and efficiently using three core ideas: center, spread, and shape. You will learn when to use the mean, median, variance, standard deviati…

Charts for Statistical Insight

1 lesson

Lesson 4: Visualizing Distributions and Relationships

18 min
This lesson shows how to turn raw data into statistical insight using the right charts for the job. You will learn how to visualize distributions, compare groups, and spot relationships between variab…

Randomness and Event Modeling

1 lesson

Lesson 5: Probability Basics for Analysts

20 min
This lesson introduces the core probability ideas every data analyst needs: randomness, sample spaces, events, and how to assign and combine probabilities correctly. Professor Nathan Ward focuses on p…

Discrete and Continuous Models

1 lesson

Lesson 6: Common Distributions in Practice

20 min
This lesson introduces the probability distributions you will use most often in data science and shows how to choose between them based on the kind of variable you are modeling. You will distinguish d…

From Samples to Populations

1 lesson

Lesson 7: Sampling and the Central Limit Theorem

21 min
This lesson explains how samples help us learn about populations, and why the Central Limit Theorem is one of the most important ideas in statistical inference. You will see how sampling variability c…

Measuring Uncertainty

1 lesson

Lesson 8: Estimation and Confidence Intervals

20 min
This lesson shows how statisticians turn a sample into an estimate and then quantify how uncertain that estimate is. You will learn the difference between a point estimate and an interval estimate, wh…

Claims, Decisions, and Significance

1 lesson

Lesson 9: Hypothesis Testing Frameworks

21 min
This lesson introduces the core hypothesis testing framework used in data science to evaluate claims with sample data. You will learn how to define a null and alternative hypothesis, choose a signific…

Interpreting Test Results Correctly

1 lesson

Lesson 10: p-Values, Errors, and Power

19 min
This lesson explains how to interpret hypothesis test results correctly by separating statistical significance from practical importance. You will learn what a p-value does and does not tell you, how …

T-Tests and Categorical Inference

1 lesson

Lesson 11: Comparing Means and Proportions

20 min
This lesson explains how to compare two groups using t-tests for numeric data and how to compare two groups using proportions for categorical data. You will learn when to use a one-sample, two-sample,…

Measuring Linear Relationships

1 lesson

Lesson 12: Correlation and Association

18 min
Correlation and association help us describe how two variables move together. In this lesson, you will learn how to read the strength and direction of a linear relationship, compare correlation with c…

Modeling and Prediction

1 lesson

Lesson 13: Simple Linear Regression

22 min
Simple linear regression is the first step from description to prediction. In this lesson, students learn how to model the relationship between one numeric predictor and one numeric outcome, interpret…

Controlling for Additional Variables

1 lesson

Lesson 14: Multiple Regression and Interpretation

23 min
Multiple regression extends simple linear regression by estimating the relationship between one outcome and several predictors at the same time. In this lesson, you will learn how to interpret coeffic…

Checking Model Quality

1 lesson

Lesson 15: Regression Diagnostics and Assumptions

20 min
This lesson shows how to check whether a regression model is trustworthy enough to use. You will learn the key assumptions behind linear regression, how to inspect residuals, and how to spot common pr…

Chi-Square Tests and Contingency Tables

1 lesson

Lesson 16: Categorical Data Analysis

19 min
This lesson introduces categorical data analysis through contingency tables and chi-square tests. You will learn how to compare counts across groups, test whether two categorical variables are indepen…

Bootstrap and Permutation Ideas

1 lesson

Lesson 17: Resampling Methods

21 min
Resampling gives data scientists a practical way to estimate uncertainty, compare models, and test whether an observed effect is likely to be real. In this lesson, you will learn the core ideas behind…

Assessing Generalization

1 lesson

Lesson 18: Model Evaluation and Cross-Validation

22 min
This lesson shows how to tell whether a model will work on new data, not just the data it was trained on. You will learn the difference between training error and generalization error, why a single tr…

Reporting Findings with Clarity

1 lesson

Lesson 19: Communicating Statistical Results

18 min
This lesson focuses on how to present statistical findings so they are clear, credible, and decision-ready. You will learn how to translate estimates, uncertainty, and model results into plain languag…
About Your Instructor
Professor Nathan Ward

Professor Nathan Ward

Professor Nathan Ward guides this AI-built Virversity course with a clear, practical teaching style.