Statistical Inference

Johns Hopkins University via Coursera

Go to Course: https://www.coursera.org/learn/statistical-inference

Introduction

### Course Review: Statistical Inference on Coursera #### Overview Statistical inference is a fundamental aspect of data science, playing a crucial role in how we draw conclusions from data to understand populations and scientific truths. The “Statistical Inference” course on Coursera provides learners with a comprehensive foundation in various inferential statistical techniques. With its structured syllabus, the course covers essential concepts ranging from probability to advanced testing methods, catering to both beginners and those looking to deepen their knowledge. #### Syllabus Breakdown 1. **Week 1: Probability & Expected Values** This week introduces the building blocks of statistical inference, covering essential concepts such as probability, random variables, and expectations. The content is well-structured, facilitating a solid understanding of these fundamental principles that serve as the foundation for more complex statistical concepts. This week is vital for learners who might be new to statistics, as these topics are critical for grasping the intricacies of data analysis. 2. **Week 2: Variability, Distribution, & Asymptotics** Building on the first week, this section dives into the concepts of variability, distributions, limits, and confidence intervals. Understanding these topics is essential for interpreting data correctly and making informed decisions based on statistical results. The course uses practical examples and real-world scenarios that enhance retention and application of the theoretical knowledge gained. 3. **Week 3: Intervals, Testing, & P-values** This week focuses on statistical intervals, hypothesis testing, and the interpretation of p-values. The knowledge gained here is crucial for anyone looking to engage in formal statistical analysis or research. The instructor does an excellent job of demystifying these concepts and providing clarity on their implications—an invaluable asset for future data scientists and researchers. 4. **Week 4: Power, Bootstrapping, & Permutation Tests** The final week introduces more complex methods, including statistical power, bootstrapping techniques, and permutation tests. These advanced topics are essential for performing robust statistical analyses in real-world scenarios. Instructors guide students through practical applications, enabling learners to experiment with these methods, which solidifies understanding through hands-on practice. #### Recommendation Overall, I highly recommend the “Statistical Inference” course on Coursera for anyone interested in enhancing their data analysis skills. It is particularly well-suited for individuals pursuing careers in data science, business analytics, or any field that relies heavily on statistical data. The course's blend of theory, practical application, and real-world examples ensures that participants not only grasp the material but can apply it effectively in their work. Additionally, the course provides valuable resources and a supportive online community that fosters collaboration and knowledge sharing. Whether you are a novice or looking to refresh your skills, this course equips you with the tools necessary to navigate the complexities of statistical inference confidently. Enrolling in the “Statistical Inference” course could be a pivotal step in your professional development, laying a strong foundation for future advanced studies in statistics and data science. Don’t miss out on this comprehensive learning opportunity!

Syllabus

Week 1: Probability & Expected Values

This week, we'll focus on the fundamentals including probability, random variables, expectations and more.

Week 2: Variability, Distribution, & Asymptotics

We're going to tackle variability, distributions, limits, and confidence intervals.

Week: Intervals, Testing, & Pvalues

We will be taking a look at intervals, testing, and pvalues in this lesson.

Week 4: Power, Bootstrapping, & Permutation Tests

We will begin looking into power, bootstrapping, and permutation tests.

Overview

Statistical inference is the process of drawing conclusions about populations or scientific truths from data. There are many modes of performing inference including statistical modeling, data oriented strategies and explicit use of designs and randomization in analyses. Furthermore, there are broad theories (frequentists, Bayesian, likelihood, design based, …) and numerous complexities (missing data, observed and unobserved confounding, biases) for performing inference. A practitioner can often

Skills

Statistics Statistical Inference Statistical Hypothesis Testing

Reviews

I found this course really good introduction to statistical inference. I did find it quite challenging but I can go away from this course having a greater understanding of Statistical Inference

The strategy for model selection in multivariate environment should have been explained with an example. This will make the model selection process, interaction and its interpretation more clear.

Brian is a very good lecturer. Even though he is knowledgeable, he goes through everything step by step and makes sure you don't fall off the wagon at any point. I had fun doing this course!

If you work through all the examples, you will be pleasantly surprised. This is an awesome course. Highly recommended. Many thanks to Brian Caffo for improving my understanding.

Quite useful to most scientists that rely on data (real/from simulations) to draw conclusions. The fact that the course was generic and widely applicable to all fields was the highlight!