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Good Math, Bad Math

Finding the fun in good math; Shredding bad math and squashing the crackpots who espouse it.

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Mark Chu-Carroll (aka MarkCC) is a PhD Computer Scientist, who works for Google as a Software Engineer. My professional interests center on programming languages and tools, and how to improve the languages and tools that are used for building complex software systems.

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Book Review: The Manga Guide to Statistics

Category: statistics

I recently got an offer from someone at No-Starch Press to review the newly translated book, The Manga Guide to Statistics. I recieved the book a couple of weeks ago, but haven't had time to sit down and read...

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Margin of Error and Election Polls

Category: statistics

Before I get to the meat of the post, I want to remind you that our DonorsChoose drive is ending in just a couple of days! A small number of readers have made extremely generous contributions, which is very...

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Probability Distributions

Category: statistics

I'd like to start with a quick apology. Sorry that both the abstract algebra and the new game theory posts have been moving so slowly. I've been a bit overwhelmed lately with things that need doing right away, and...

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Random Variables

Category: statistics

The first key concept in probability is called a random variable. Random variables are a key concept - but since they're a key concept of the frequentist school, they are alas, one of the things that bring out more...

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Schools of thought in Probability Theory

Category: statistics

To understand a lot of statistical ideas, you need to know about probability. The two fields are inextricably entwined: sampled statistics works because of probabilistic properties of populations. I approach writing about probability with no small amount of trepidation....

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Introduction to Linear Regression

Category: statistics

Suppose you've got a bunch of data. You believe that there's a linear relationship between two of the values in that data, and you want to find out whether that relationship really exists, and if so, what the properties...

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Basic Statistics: Mean and Standard Deviation

Category: statistics

Several people have asked me to write a few basic posts on statistics. I've written a few basic posts on the subject - like, for example, this post on mean, median and mode. But I've never really started from...

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Sex Crimes and Illegal Immigrants: Misuse of Statistics for Politics

Category: bad math

Yet another reader sent me a great bad math link. (Keep 'em coming guys!) This one is an astonishingly nasty slight of hand, and a great example of how people misuse statistics to support a political agenda. It's by someone...

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Basics: Standard Deviation

Category: Basics

When we look at a the data for a population+ often the first thing we do is look at the mean. But even if we know that the distribution is perfectly normal, the mean isn't enough to tell us...

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Basics: Normal Distributions

Category: Basics

In general, when we gather data, we expect to see a particular pattern to the data, called a normal distribution. A normal distribution is one where the data is evenly distributed around the mean in a very regular way,...

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