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# Statistical suicide

Data: Up to 8% of people who attempt a suicide succeed (die). Up to 80% of woman who have BRCA1 mutation die of breast cancer. Conclusion: Attempting a suicide is much safer than ignoring the BRCA1 mutation. This is just the popular Jolie case, but, of course, this does not only concern woman. For example, […]

# Can we prove the null hypothesis (H0)?

Statistics and logic Suppose you want to compare two populations. Normally, you want to prove that they are significantly different. One of the most common ways to do so is to test if the different in means is a result of condition or occurred by chance. Common tests to assess this are t-test or in […]

# Are one-way ANOVA and t-test equivalent?

Yes. Assume we know the variance . Let be the t-test statistic and be the one-way ANOVA statistic. One can reasonably easly show that . Therefore, for a two-sided test corresponding quantiles are equivalent. However, there is no equivalent one-sided test in anova since we are looking at a ‘squared’ value. As we can see, […]

# Introduction to SVM

A simple classical problem SVM finds an optimal “hyperplane“ between two groups of datapoints. Although the optimization problem it solves is always linear, we can incorporate other geometric structures by transforming the data to other spaces. In the simplest case, consider this two dimensional example. Our objective is to find the optimal separating line between […]

# Codeforces 427E – Police Patrol

Imagine that your city is an infinite 2D plane with Cartesian coordinate system. The only crime-affected road of your city is the x-axis. Currently, there are n criminals along the road. No police station has been built on this road yet, so the mayor wants to build one. [read on codeforces] Let’s define a function […]

# Top coder open (TCO) 2014 – 500 problem

Elly is playing Scrabble with her family. The exact rules of the game are not important for this problem. You only need to know that Elly has a holder that contains a row of N tiles, and that there is a single letter on each of those tiles. (Tiles are small square pieces of wood. […]