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Data Science Statistics Articles, Guide, and Tutorials
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</center> </div> </div> <!-- Homepage content --> <div class="container homepage-content"> <div class="col-md-8 main-content-column-1 left"> <!-- Blog list 1 --> <div class="blog-block-1"> <div class="title-default"> <a href="" class="active">Statistics</a> </div> <div class="items"> <div class="post-item post-45730 post type-post status-publish format-standard has-post-thumbnail hentry category-modeling category-statistics"> <div class="image"> <a href="https://opendatascience.com/chi-square-goodness-of-fit-test/"><img src="https://opendatascience.com/wp-content/uploads/2024/01/riho-kroll-RgLaH00kZOk-unsplash-180x180.jpg" alt="Chi Square Goodness of Fit Test"/></a> </div> <div class="title"> <h2> <a href="https://opendatascience.com/chi-square-goodness-of-fit-test/">Chi Square Goodness of Fit Test</a> </h2> <p> <a href="https://opendatascience.com/category/modeling/" title="Modeling" class="tag-default">Modeling</a><a href="https://opendatascience.com/category/modeling/statistics/" title="Statistics" class="tag-default">Statistics</a>posted by <a href="https://opendatascience.com/user/odsc-community/" title="Statistics" class="tag-defaultic">ODSC Community</a> <span class="legend-default"> <i class="fa fa-clock-o"></i><span class="updated" >January 30, 2024</span> </span> </p> </div> <div class="intro"> We have recently explored and derived the Chi-Square Distribution which you can check out here. I highly recommend reading that post if you are unfamiliar with the Chi-Square Distribution, otherwise, this article won’t make a whole lot of sense to you! Nevertheless, in this post we will... <a href="https://opendatascience.com/chi-square-goodness-of-fit-test/" class="more-link">Read more</a> </div> </div> <div class="post-item post-31564 post type-post status-publish format-standard has-post-thumbnail hentry category-modeling category-statistics tag-gradient-descent tag-mathematics"> <div class="image"> <a href="https://opendatascience.com/understanding-the-mathematics-behind-gradient-descent/"><img src="https://opendatascience.com/wp-content/uploads/2020/02/1_ScEjBlA2xNW4fflEu7DJCg-180x180.jpeg" alt="Understanding the Mathematics behind Gradient Descent"/></a> </div> <div class="title"> <h2> <a href="https://opendatascience.com/understanding-the-mathematics-behind-gradient-descent/">Understanding the Mathematics behind Gradient Descent</a> </h2> <p> <a href="https://opendatascience.com/category/modeling/" title="Modeling" class="tag-default">Modeling</a><a href="https://opendatascience.com/category/modeling/statistics/" title="Statistics" class="tag-default">Statistics</a><a href="https://opendatascience.com/tag/gradient-descent/" title="Statistics" class="tag-default">Gradient Descent</a><a href="https://opendatascience.com/tag/mathematics/" title="Statistics" class="tag-default">mathematics</a>posted by <a href="https://opendatascience.com/user/parul-pandey/" title="Statistics" class="tag-defaultic">Parul Pandey</a> <span class="legend-default"> <i class="fa fa-clock-o"></i><span class="updated" >September 21, 2021</span> </span> </p> </div> <div class="intro"> “Premature optimization is the root of all evil.” ― Donald Ervin Knuth Agile is a pretty well-known term in the software development process. The basic idea behind it is simple: build something quickly ➡️ get it out there ➡️ get some feedback ➡️ make changes depending upon... <a href="https://opendatascience.com/understanding-the-mathematics-behind-gradient-descent/" class="more-link">Read more</a> </div> </div> <div class="post-item post-36701 post type-post status-publish format-standard has-post-thumbnail hentry category-modeling category-statistics tag-ai tag-bayesian tag-pymc"> <div class="image"> <a href="https://opendatascience.com/incremental-development-of-pymc-models/"><img src="https://opendatascience.com/wp-content/uploads/2021/07/AdobeStock_97445582-180x180.jpeg" alt="Incremental Development of PyMC Models"/></a> </div> <div class="title"> <h2> <a href="https://opendatascience.com/incremental-development-of-pymc-models/">Incremental Development of PyMC Models</a> </h2> <p> <a href="https://opendatascience.com/category/modeling/" title="Modeling" class="tag-default">Modeling</a><a href="https://opendatascience.com/category/modeling/statistics/" title="Statistics" class="tag-default">Statistics</a><a href="https://opendatascience.com/tag/ai/" title="Statistics" class="tag-default">AI</a><a href="https://opendatascience.com/tag/bayesian/" title="Statistics" class="tag-default">bayesian</a><a href="https://opendatascience.com/tag/pymc/" title="Statistics" class="tag-default">PyMC</a>posted by <a href="https://opendatascience.com/user/odsc-community/" title="Statistics" class="tag-defaultic">ODSC Community</a> <span class="legend-default"> <i class="fa fa-clock-o"></i><span class="updated" >July 28, 2021</span> </span> </p> </div> <div class="intro"> PyMC is a powerful tool for doing Bayesian statistics, but getting started can be intimidating. This article presents an example that I think is a good starting place, and demonstrates a method I use to develop and test models incrementally. Games like hockey and soccer are... <a href="https://opendatascience.com/incremental-development-of-pymc-models/" class="more-link">Read more</a> </div> </div> <div class="post-item post-36082 post type-post status-publish format-standard has-post-thumbnail hentry category-modeling category-statistics tag-anomaly-detection tag-europe-2021 tag-isolation-forest"> <div class="image"> <a href="https://opendatascience.com/finding-that-needle-isolation-forests-for-anomaly-detection/"><img src="https://opendatascience.com/wp-content/uploads/2021/05/AdobeStock_183604186-180x180.jpeg" alt="Finding That Needle! Isolation Forests for Anomaly Detection"/></a> </div> <div class="title"> <h2> <a href="https://opendatascience.com/finding-that-needle-isolation-forests-for-anomaly-detection/">Finding That Needle! Isolation Forests for Anomaly Detection</a> </h2> <p> <a href="https://opendatascience.com/category/modeling/" title="Modeling" class="tag-default">Modeling</a><a href="https://opendatascience.com/category/modeling/statistics/" title="Statistics" class="tag-default">Statistics</a><a href="https://opendatascience.com/tag/anomaly-detection/" title="Statistics" class="tag-default">anomaly detection</a><a href="https://opendatascience.com/tag/europe-2021/" title="Statistics" class="tag-default">Europe 2021</a><a href="https://opendatascience.com/tag/isolation-forest/" title="Statistics" class="tag-default">Isolation Forest</a>posted by <a href="https://opendatascience.com/user/odsc-community/" title="Statistics" class="tag-defaultic">ODSC Community</a> <span class="legend-default"> <i class="fa fa-clock-o"></i><span class="updated" >May 3, 2021</span> </span> </p> </div> <div class="intro"> One of the best parts of data science is that algorithms developed for one application turn up in other applications they were not originally designed for! This is very true in the world of fraud and anomaly detection. Many algorithms have their foundation elsewhere but find... <a href="https://opendatascience.com/finding-that-needle-isolation-forests-for-anomaly-detection/" class="more-link">Read more</a> </div> </div> <div class="post-item post-35671 post type-post status-publish format-standard has-post-thumbnail hentry category-modeling category-statistics tag-ai-plus"> <div class="image"> <a href="https://opendatascience.com/data-sciences-role-in-anomaly-detection/"><img src="https://opendatascience.com/wp-content/uploads/2021/03/anom6-1-180x180.png" alt="Data Science’s Role in Anomaly Detection"/></a> </div> <div class="title"> <h2> <a href="https://opendatascience.com/data-sciences-role-in-anomaly-detection/">Data Science’s Role in Anomaly Detection</a> </h2> <p> <a href="https://opendatascience.com/category/modeling/" title="Modeling" class="tag-default">Modeling</a><a href="https://opendatascience.com/category/modeling/statistics/" title="Statistics" class="tag-default">Statistics</a><a href="https://opendatascience.com/tag/ai-plus/" title="Statistics" class="tag-default">AI Plus</a>posted by <a href="https://opendatascience.com/user/odsc-community/" title="Statistics" class="tag-defaultic">ODSC Community</a> <span class="legend-default"> <i class="fa fa-clock-o"></i><span class="updated" >March 8, 2021</span> </span> </p> </div> <div class="intro"> Anomalies. Oxford dictionary defines them as things that deviate from what is normal or expected. No matter what field you are in, they seem to pop up and occur without warning. In the realm of data, anomalies can lead to incorrect or out-of-date decisions to be... <a href="https://opendatascience.com/data-sciences-role-in-anomaly-detection/" class="more-link">Read more</a> </div> </div> <div class="post-item post-35613 post type-post status-publish format-standard has-post-thumbnail hentry category-modeling category-statistics tag-bayesian-modeling tag-pymc-labs"> <div class="image"> <a href="https://opendatascience.com/introducing-pymc-labs-saving-the-world-with-bayesian-modeling/"><img src="https://opendatascience.com/wp-content/uploads/2021/03/pymclabs-180x180.png" alt="Introducing PyMC Labs: Saving the World with Bayesian Modeling"/></a> </div> <div class="title"> <h2> <a href="https://opendatascience.com/introducing-pymc-labs-saving-the-world-with-bayesian-modeling/">Introducing PyMC Labs: Saving the World with Bayesian Modeling</a> </h2> <p> <a href="https://opendatascience.com/category/modeling/" title="Modeling" class="tag-default">Modeling</a><a href="https://opendatascience.com/category/modeling/statistics/" title="Statistics" class="tag-default">Statistics</a><a href="https://opendatascience.com/tag/bayesian-modeling/" title="Statistics" class="tag-default">Bayesian Modeling</a><a href="https://opendatascience.com/tag/pymc-labs/" title="Statistics" class="tag-default">PyMC Labs</a>posted by <a href="https://opendatascience.com/user/odsc-community/" title="Statistics" class="tag-defaultic">ODSC Community</a> <span class="legend-default"> <i class="fa fa-clock-o"></i><span class="updated" >March 1, 2021</span> </span> </p> </div> <div class="intro"> After I left Quantopian in 2020, something interesting happened: various companies contacted me inquiring about consulting to help them with their PyMC3 models. Usually, I don’t hear how people are using PyMC3 — they mostly show up on GitHub or Discourse when something isn’t working right. So, hearing about all these really... <a href="https://opendatascience.com/introducing-pymc-labs-saving-the-world-with-bayesian-modeling/" class="more-link">Read more</a> </div> </div> <div class="post-item post-33857 post type-post status-publish format-standard has-post-thumbnail hentry category-modeling category-statistics tag-bayesian tag-west-2020"> <div class="image"> <a href="https://opendatascience.com/the-bayesians-are-coming-the-bayesians-are-coming-to-time-series/"><img src="https://opendatascience.com/wp-content/uploads/2020/09/AR-Forecast-180x180.png" alt="The Bayesians are Coming! The Bayesians are Coming, to Time Series"/></a> </div> <div class="title"> <h2> <a href="https://opendatascience.com/the-bayesians-are-coming-the-bayesians-are-coming-to-time-series/">The Bayesians are Coming! The Bayesians are Coming, to Time Series</a> </h2> <p> <a href="https://opendatascience.com/category/modeling/" title="Modeling" class="tag-default">Modeling</a><a href="https://opendatascience.com/category/modeling/statistics/" title="Statistics" class="tag-default">Statistics</a><a href="https://opendatascience.com/tag/bayesian/" title="Statistics" class="tag-default">bayesian</a><a href="https://opendatascience.com/tag/west-2020/" title="Statistics" class="tag-default">West 2020</a>posted by <a href="https://opendatascience.com/user/odsc-community/" title="Statistics" class="tag-defaultic">ODSC Community</a> <span class="legend-default"> <i class="fa fa-clock-o"></i><span class="updated" >September 28, 2020</span> </span> </p> </div> <div class="intro"> Editor’s note: Aric is a speaker for ODSC West 2020 this October. Check out his talk, “The Bayesians are Coming! The Bayesians are Coming, to Time Series,” there! Forecasting has applications across all industries. From needing to predict future values of sales for a product line,... <a href="https://opendatascience.com/the-bayesians-are-coming-the-bayesians-are-coming-to-time-series/" class="more-link">Read more</a> </div> </div> <div class="post-item post-31684 post type-post status-publish format-standard has-post-thumbnail hentry category-modeling category-statistics tag-data-imputation"> <div class="image"> <a href="https://opendatascience.com/data-imputation-beyond-mean-median-and-mode/"><img src="https://opendatascience.com/wp-content/uploads/2020/02/data-2764820_1280-2-180x180.jpg" alt="Data Imputation: Beyond Mean, Median and Mode"/></a> </div> <div class="title"> <h2> <a href="https://opendatascience.com/data-imputation-beyond-mean-median-and-mode/">Data Imputation: Beyond Mean, Median and Mode</a> </h2> <p> <a href="https://opendatascience.com/category/modeling/" title="Modeling" class="tag-default">Modeling</a><a href="https://opendatascience.com/category/modeling/statistics/" title="Statistics" class="tag-default">Statistics</a><a href="https://opendatascience.com/tag/data-imputation/" title="Statistics" class="tag-default">Data Imputation</a>posted by <a href="https://opendatascience.com/user/ambar-kleinbort/" title="Statistics" class="tag-defaultic">Ambar Kleinbort</a> <span class="legend-default"> <i class="fa fa-clock-o"></i><span class="updated" >February 10, 2020</span> </span> </p> </div> <div class="intro"> This posting is titled Data Imputation: Beyond Mean, Median, and Mode. Types of Missing Data 1.Unit Non-Response Unit Non-Response refers to entire rows of missing data. An example of this might be people who choose not to fill out the census. Here, we don’t necessarily see... <a href="https://opendatascience.com/data-imputation-beyond-mean-median-and-mode/" class="more-link">Read more</a> </div> </div> <div class="post-item post-31264 post type-post status-publish format-standard has-post-thumbnail hentry category-modeling category-statistics tag-bayesian tag-bayesian-hierarchical-models"> <div class="image"> <a href="https://opendatascience.com/from-idea-to-insight-using-bayesian-hierarchical-models-to-predict-game-outcomes-part-2/"><img src="https://opendatascience.com/wp-content/uploads/2020/01/Screen-Shot-2020-01-17-at-4.53.52-PM-180x180.png" alt="From Idea to Insight: Using Bayesian Hierarchical Models to Predict Game Outcomes Part 2"/></a> </div> <div class="title"> <h2> <a href="https://opendatascience.com/from-idea-to-insight-using-bayesian-hierarchical-models-to-predict-game-outcomes-part-2/">From Idea to Insight: Using Bayesian Hierarchical Models to Predict Game Outcomes Part 2</a> </h2> <p> <a href="https://opendatascience.com/category/modeling/" title="Modeling" class="tag-default">Modeling</a><a href="https://opendatascience.com/category/modeling/statistics/" title="Statistics" class="tag-default">Statistics</a><a href="https://opendatascience.com/tag/bayesian/" title="Statistics" class="tag-default">bayesian</a><a href="https://opendatascience.com/tag/bayesian-hierarchical-models/" title="Statistics" class="tag-default">Bayesian Hierarchical Models</a>posted by <a href="https://opendatascience.com/user/brandondey/" title="Statistics" class="tag-defaultic"><a href="https://brandondey.github.io/" title="Visit Brandon Dey, ODSC’s website" rel="author external">Brandon Dey, ODSC</a></a> <span class="legend-default"> <i class="fa fa-clock-o"></i><span class="updated" >January 30, 2020</span> </span> </p> </div> <div class="intro"> What’s the best way to model the probability that one player beats another in a digital game a client of your employer designed? This is the second of a two-part series in which you’re a data scientist at a fictional mobile game development company that makes... <a href="https://opendatascience.com/from-idea-to-insight-using-bayesian-hierarchical-models-to-predict-game-outcomes-part-2/" class="more-link">Read more</a> </div> </div> <div class="post-item post-31258 post type-post status-publish format-standard has-post-thumbnail hentry category-modeling category-statistics tag-bayesian tag-hierarchical-bayesian-models"> <div class="image"> <a href="https://opendatascience.com/from-idea-to-insight-using-bayesian-hierarchical-models-to-predict-game-outcomes-part-1/"><img src="https://opendatascience.com/wp-content/uploads/2020/01/Screen-Shot-2020-01-17-at-4.22.17-PM-180x180.png" alt="From Idea to Insight: Using Bayesian Hierarchical Models to Predict Game Outcomes Part 1"/></a> </div> <div class="title"> <h2> <a href="https://opendatascience.com/from-idea-to-insight-using-bayesian-hierarchical-models-to-predict-game-outcomes-part-1/">From Idea to Insight: Using Bayesian Hierarchical Models to Predict Game Outcomes Part 1</a> </h2> <p> <a href="https://opendatascience.com/category/modeling/" title="Modeling" class="tag-default">Modeling</a><a href="https://opendatascience.com/category/modeling/statistics/" title="Statistics" class="tag-default">Statistics</a><a href="https://opendatascience.com/tag/bayesian/" title="Statistics" class="tag-default">bayesian</a><a href="https://opendatascience.com/tag/hierarchical-bayesian-models/" title="Statistics" class="tag-default">Hierarchical Bayesian Models</a>posted by <a href="https://opendatascience.com/user/brandondey/" title="Statistics" class="tag-defaultic"><a href="https://brandondey.github.io/" title="Visit Brandon Dey, ODSC’s website" rel="author external">Brandon Dey, ODSC</a></a> <span class="legend-default"> <i class="fa fa-clock-o"></i><span class="updated" >January 17, 2020</span> </span> </p> </div> <div class="intro"> From Idea to Insight: Using Bayesian Hierarchical Models to Predict Game Outcomes Part 1. 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