Reversion to the Mean: Unraveling a Pervasive Misconception in Business and Beyond


In the realm of business and leadership, one statistical phenomenon often goes unrecognized yet significantly influences our understanding of performance and success. This is the concept of reversion to the mean (also called regression to the mean). This seemingly simple statistical occurrence can profoundly impact how we perceive management strategies, leadership effectiveness, and even the fate of those gracing the covers of prominent magazines. To understand what is going on, read on!
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Can a Simple Multi-Agent Model Replicate Complex Stock Market Behaviour?


The stock market is one of the most complex systems we know about. Millions of intelligent, highly competitive people (and increasingly AIs) try to outwit each other to earn as much money as possible.

In this post we build a simulation where little agents employ different trading strategies on an artificial stock market to replicate key stylized facts of real financial markets, so read on!
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The Big Picture: Technical + Fundamental Trading = Buy-and-Hold


In this post, let us rise into the air to have a good view of the stock market. From this vantage point, seemingly unrelated things all of a sudden become connected and patterns hidden by all the buzz and noise start to appear!

If you want to understand the big picture of technical and fundamental analysis, its relation to the payoffs of certain option strategies, and what this has to do with buy-and-hold, read on!
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Building and Backtesting a Volatility-based Trading Strategy with ChatGPT


This post presents a real highlight: We will build and backtest a quantitative trading strategy in R with the help of OpenAI’s ChatGPT-4! If you want to get a glimpse into the future of trading system development, read on!
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World Cup 2022: My Prediction for Germany in the Group Stage (also as a Video)!


Predicting football (a.k.a. soccer) games based on statistical models has been one of my hobbies for many years now.

Here, I will give you my prediction for Germany in the group stage of the World Cup 2022 with full R-code, so read on!
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Please Subscribe to My New (German) Data Science YouTube Channel!


I am in the middle of creating a new German YouTube channel that is centered around data science and R! I put a lot of effort into it to serve the interests of the community.

If you want to be a part of the process, watch interesting videos with data-based analyses and look behind the scenes, please consider subscribing to the channel!

The number of subscriptions is also vital for the YouTube algorithm to recommend the videos to other viewers on the platform!
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The Most Dangerous Equation, or Why Small is Not Beautiful!


Over one billion dollars have been spent in the US to split up big schools into smaller ones because small schools regularly show up in rankings as top performers.

In this post, I will show you why that money was wasted because of a widespread (but not so well known) statistical artifact, so read on!
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Is the Stock Market Efficient? Let your ZIP Compression Tool give an Answer!


One of the most fiercely fought debates in quantitative finance is whether the stock market (or financial markets in general) is (are) efficient, i.e. whether you can find patterns in them that can be profitably used.

If you want to learn about an ingenious method (that is already present in anyone’s computer) to approach that question, read on!
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The Pólya Urn Model: A simple Simulation of “The Rich get Richer”


What is the “opposite” of sampling without replacement? In a classical urn model sampling without replacement means that you don’t replace the ball that you have drawn. Therefore the probability of drawing that colour becomes smaller. How about the opposite, i.e. that the probability becomes bigger? Then you have a so-called Pólya urn model!

Many real-world processes have this self-reinforcing property, e.g. leading to the distribution of wealth or the number of followers on social media. If you want to learn how to simulate such a process with R and encounter some surprising results, read on!
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New Bundesliga Forecasting Tool: Can Underdog Hertha Berlin beat Bayern Munich?


The Bundesliga is Germany’s primary football league. It is one of the most important football leagues in the world, broadcast on television in over 200 countries.

If you want to get your hands on a tool to forecast the result of any game (and perform some more statistical analyses), read on!
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