Category: Statistics
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Weekly Problem: Guinea Pig Fur Color Genetics
The Problem In a laboratory study, scientists are breeding guinea pigs to understand the genetics of fur color. They observe an interesting pattern: When two black guinea pigs mate, about 3/4 of their offspring are black, while 1/4 are white.When two white guinea pigs mate, ALL of their offspring are white.When a black guinea pig…
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Weekly Problem: The Game Show Dilemma
The problem Imagine you’re a contestant on a popular game show. The host shows you three closed doors: behind one is a brand-new luxury car, and behind the other two are goats (which, unless you’re in the market for a goat, are considerably less valuable prizes). You select Door #1, hoping it contains the car.…
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Weekly Problem #24
Bayesian Problem: The Quality Control Dilemma Background A pharmaceutical company produces a critical medication. Historical data suggests that the production process has typically maintained a defect rate of around 2%. However, recent changes in the manufacturing process have raised concerns about whether this rate has increased. The Data In a recent batch of 100 units:…
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Weekly Problem: Balls into Bins
Probability theory: Throwing balls into bins Imagine you’re at a carnival game where you’re blindfolded and asked to throw balls into bins. Simple enough, right? But here’s where it gets interesting: this simple game is actually a powerful model for understanding everything from how websites handle traffic to how computers store data. What’s Really Going…
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Weekly Problem: Latin Squares
Weekly Problem: Latin Squares and Experimental Design The Mystery of Latin Squares A Latin square is a grid where each symbol appears exactly once in each row and column. Simple to describe, yet they hold deep mathematical mysteries and practical applications! A B C B C A C A B Part 1: The Basic Challenge…
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Weekly Problem no.9. The Simpson’s Paradox
Simpson’s Paradox: A Causal Inference Challenge by Yildiz Culcu The Medical Treatment Paradox You’re the lead researcher at a major hospital analyzing a new treatment for a chronic condition. Here’s the aggregated data from two hospitals over one year: Hospital Treatment Group Success Rate Total Patients Hospital A New Treatment 60% 200 Hospital A Standard…