Improving your statistical inferences

Eindhoven University of Technology via Coursera

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

Introduction

### Course Review: Improving Your Statistical Inferences on Coursera If you're looking to enhance your understanding of statistical inferences and apply that knowledge in empirical research, then the course "Improving Your Statistical Inferences" on Coursera is an excellent choice. With a curriculum designed to demystify complex statistical concepts and the theory behind them, this course provides a well-structured path for both novices and those with some prior experience in statistics. #### Course Overview This course aims to empower learners to draw better statistical inferences from research data. It covers foundational elements such as p-values, effect sizes, confidence intervals, and their interpretations. Additionally, the course delves into more nuanced concepts like Bayes Factors and likelihood ratios, explaining how different statistical measures can answer various research questions. One of the unique selling points of this course is its focus on practical applications. You will not only learn how to interpret existing data but also how to design experiments effectively. Emphasis is placed on controlling the false positive rate and determining the appropriate sample size to ensure robustness in your studies. #### Syllabus Breakdown 1. **Introduction + Frequentist Statistics** The course begins by laying the groundwork in frequentist statistics. This foundational knowledge is crucial for understanding subsequent concepts. 2. **Likelihoods & Bayesian Statistics** Transitioning into Bayesian statistics offers a fresh perspective on interpreting data. This module encourages critical thinking about how probabilities can be updated with new information. 3. **Multiple Comparisons, Statistical Power, Pre-Registration** A major concern in research is the error rates associated with multiple comparisons. This section addresses how to navigate these pitfalls and emphasizes the importance of pre-registration of studies to enhance credibility. 4. **Effect Sizes** Understanding the magnitude of effects is critical in research. This module provides essential insights into how effect sizes can inform practical significance, beyond mere statistical significance. 5. **Confidence Intervals, Sample Size Justification, P-Curve Analysis** This comprehensive segment teaches participants how to justify sample sizes and understand confidence intervals intuitively, along with the novel approach of P-Curve analysis to evaluate the evidential value of research findings. 6. **Philosophy of Science & Theory** This course also touches upon the philosophy behind scientific inquiry, encouraging participants to think critically about theories and their implications in the statistical realm. 7. **Open Science** The final modules dive into open science practices, teaching learners about transparency and collaboration in research. This is an increasingly important aspect of scientific methodology in light of recent discussions around replicability and trust in research. 8. **Final Exam** To encapsulate your learning, the course concludes with a practice and graded exam covering all content. It’s recommended to take these only after thoroughly engaging with the module materials. #### My Recommendation **Who Should Enroll?** This course is an excellent fit for graduate students, researchers, and data enthusiasts eager to enhance their statistical analysis skills. Whether you're a novice seeking foundational knowledge or a seasoned researcher looking to refine your skills, this course offers valuable content for everyone. **Pros:** - Clear, structured curriculum - Practical application of theoretical concepts - In-depth exploration of both frequentist and Bayesian statistics - Focus on research design and effective statistical communication **Cons:** - May require a time commitment; students should budget adequate time to absorb materials and complete assessments. - Some advanced statistical concepts may initially be challenging for complete beginners. In conclusion, if you are serious about improving your statistical inference skills and want to enhance your ability to draw meaningful conclusions from research data, I highly recommend enrolling in "Improving Your Statistical Inferences" on Coursera. It is an intellectually rewarding experience that promises to elevate your understanding and application of statistics in empirical research.

Syllabus

Introduction + Frequentist Statistics

Likelihoods & Bayesian Statistics

Multiple Comparisons, Statistical Power, Pre-Registration

Effect Sizes

Confidence Intervals, Sample Size Justification, P-Curve analysis

Philosophy of Science & Theory

Open Science

Final Exam

This module contains a practice exam and a graded exam. Both quizzes cover content from the entire course. We recommend making these exams only after you went through all the other modules.

Overview

This course aims to help you to draw better statistical inferences from empirical research. First, we will discuss how to correctly interpret p-values, effect sizes, confidence intervals, Bayes Factors, and likelihood ratios, and how these statistics answer different questions you might be interested in. Then, you will learn how to design experiments where the false positive rate is controlled, and how to decide upon the sample size for your study, for example in order to achieve high statistica

Skills

Likelihood Function Bayesian Statistics P-Value Statistical Inference

Reviews

Excellent course. I improved my statistical knowledge and learned more about bayesian inference. Also, I learned something about how to pre-register a research and its benefits of doing so.

Eye opening course. My first introduction to some of the issues surrounding p-values as well as how to better utilize them and what they truly represent. My first introduction to effect sizes as well.

Solid course which taught me how to interpret p-values in a variety of contexts and taught me to not just to consider but (systematic and practical) ways of how to correct for publication bias.

Hi! Thanks a ton for a spectacular course. I pick up new understanding every week here, and I actually look forward to going through the material each week. So great job!

Really good course! The course reviews several common statistical methods and tools used in research and strive to help the student on their interpretation.