Fitting Statistical Models to Data with Python

University of Michigan via Coursera

Go to Course: https://www.coursera.org/learn/fitting-statistical-models-data-python

Introduction

**Course Review: Fitting Statistical Models to Data with Python** If you are looking to deepen your understanding of statistical modeling while harnessing the power of Python, the Coursera course *Fitting Statistical Models to Data with Python* is an exceptional choice. This course, part of the Statistics with Python specialization, provides a comprehensive exploration of the principles and practices of fitting statistical models to real-world data, catering to both the theoretical and applied aspects of statistical analysis. ### Overview The course aims to bridge the gap between research questions and analytical techniques, emphasizing the importance of tailoring your modeling strategies to fit specific data scenarios. Building on the foundations laid in the previously completed Statistical Inference course, this course brings you a practical and in-depth look at various statistical modeling objectives, including inferencing relationships between variables and generating accurate predictions for future observations. ### Course Structure **Week 1: Overview & Considerations for Statistical Modeling** The course kicks off with an important overview of what it means to fit statistical models to data. This introductory week establishes essential concepts such as the roles of dependent and independent variables and highlights how study designs influence model fitting. The focus on understanding the objectives behind model fitting prepares learners for the more technical content that follows. **Week 2: Fitting Models to Independent Data** In the second week, participants are introduced to linear and logistic regression—two cornerstone techniques in statistical modeling. This week emphasizes both practical skills and theoretical understanding, helping you learn how to fit these models using Python. The course encourages reflection on model performance, ensuring that learners grasp not only the "how" but also the "why" behind the modeling processes. **Week 3: Fitting Models to Dependent Data** Building on the previous week's knowledge, the third week dives into more complex modeling scenarios with multilevel and marginal models. This week is particularly beneficial for those working in research contexts where data dependencies must be accounted for. With discussions on likelihood ratio tests and fixed effects, learners delve into more advanced topics that are critical for making robust statistical inferences. **Week 4: Special Topics** The final week is a treasure trove of advanced topics that expand upon earlier lessons. Expect to explore varied types of dependent variables, the implications of different sampling methods, and how to appropriately use survey weights in model fitting. This week also introduces Bayesian techniques, offering case studies and practical exercises in Python that illuminate sophisticated modeling approaches. ### Recommendations What sets this course apart is its balance of theory and practice. Both instructors and content are industry-relevant, ensuring that participants not only learn the necessary statistical techniques but also how to apply them in real-world scenarios using Python. The course is suitable for individuals with a basic understanding of statistics and Python, making it accessible yet challenging. It is particularly recommended for data scientists, researchers, and anyone who wants to effectively apply statistical methods to their data analysis. In conclusion, if you are keen to advance your statistical modeling knowledge and skills, *Fitting Statistical Models to Data with Python* is a must-enroll course. You'll walk away with a strong skill set that integrates theory, practical application, and the use of Python, empowering you to tackle a wide range of data challenges with confidence.

Syllabus

WEEK 1 - OVERVIEW & CONSIDERATIONS FOR STATISTICAL MODELING

We begin this third course of the Statistics with Python specialization with an overview of what is meant by “fitting statistical models to data.” In this first week, we will introduce key model fitting concepts, including the distinction between dependent and independent variables, how to account for study designs when fitting models, assessing the quality of model fit, exploring how different types of variables are handled in statistical modeling, and clearly defining the objectives of fitting models.

WEEK 2 - FITTING MODELS TO INDEPENDENT DATA

In this second week, we’ll introduce you to the basics of two types of regression: linear regression and logistic regression. You’ll get the chance to think about how to fit models, how to assess how well those models fit, and to consider how to interpret those models in the context of the data. You’ll also learn how to implement those models within Python.

WEEK 3 - FITTING MODELS TO DEPENDENT DATA

In the third week of this course, we will be building upon the modeling concepts discussed in Week 2. Multilevel and marginal models will be our main topic of discussion, as these models enable researchers to account for dependencies in variables of interest introduced by study designs. We’ll be covering why and when we fit these alternative models, likelihood ratio tests, as well as fixed effects and their interpretations.

WEEK 4: Special Topics

In this final week, we introduce special topics that extend the curriculum from previous weeks and courses further. We will cover a broad range of topics such as various types of dependent variables, exploring sampling methods and whether or not to use survey weights when fitting models, and in-depth case studies utilizing Bayesian techniques to derive insights from data. You’ll also have the opportunity to apply Bayesian techniques in Python.

Overview

In this course, we will expand our exploration of statistical inference techniques by focusing on the science and art of fitting statistical models to data. We will build on the concepts presented in the Statistical Inference course (Course 2) to emphasize the importance of connecting research questions to our data analysis methods. We will also focus on various modeling objectives, including making inference about relationships between variables and generating predictions for future observation

Skills

Bayesian Statistics Python Programming statistical regression Statistical Model

Reviews

The course was wonderful however, sometimes I felt that a little bit more details could be provided when python code was being explained for week 2.

A great introduction to regression and bayesian analysis in python. I get that the content is hard, but they sum it all well. I would recommend for those who have prior knowledge of statistics.

Good course, but the last of three was the most difficult one. I hope that it were a good introduction to the fascinating world of statistics and data science

Good for advance topics like Marginal and Multilevel modelling. The Bayesian model could be explained in a detailed manner by providing more python assignments.

These whole three certifications lays the foundation for learning Machine Learning a more in-depth way.