Posts Tagged ‘ probability ’

Les anniversaires de vos amis sur Facebook

July 21, 2014
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J’ai découvert avec un peu de retard le joli billet Les anniversaires de vos amis sur Facebook, qui tentait de répondre à la question Si je possède  amis, quelle est la probabilité qu’il y ait au moins un jour dans l’année où je n

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Video Tutorial: Allelic Frequencies Remain Constant From Generation to Generation Under the Hardy-Weinberg Equilibrium

Video Tutorial: Allelic Frequencies Remain Constant From Generation to Generation Under the Hardy-Weinberg Equilibrium

The Hardy-Weinberg law is a fundamental principle in statistical genetics.  If its 7 assumptions are fulfilled, then it predicts that the allelic frequency of a genetic trait will remain constant from generation to generation.  In this new video tutorial in my Youtube channel, I explain the math behind the Hardy-Weinberg theorem.  In particular, I clarify […]

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Frequentist inference only seems easy

July 1, 2014
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Frequentist inference only seems easy

Two of the most common methods of statistical inference are frequentism and Bayesianism (see Bayesian and Frequentist Approaches: Ask the Right Question for some good discussion). In both cases we are attempting to perform reliable inference of unknown quantities from related observations. And in both cases inference is made possible by introducing and reasoning over […] Related posts: Bayesian and Frequentist Approaches: Ask the Right Question Automatic bias correction doesn’t…

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Mathematical and Applied Statistics Lesson of the Day – Don’t Use the Terms “Independent Variable” and “Dependent Variable” in Regression

Mathematical and Applied Statistics Lesson of the Day – Don’t Use the Terms “Independent Variable” and “Dependent Variable” in Regression

In math and science, we learn the equation of a line as , with being called the dependent variable and being called the independent variable.  This terminology holds true for more complicated functions with multiple variables, such as in polynomial regression. I highly discourage the use of “independent” and “dependent” in the context of statistics […]

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On Hoeffding’s identity

June 18, 2014
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In 1940, Wassily Hoeffding published Masstabinvariante Korrelationstheorie, which was an impressive paper. For those (like me) who unfortunately barely speak German, an English translation could be found in The Collected Works of Wassily Hoeffding, pu...

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Mathematical and Applied Statistics Lesson of the Day – The Central Limit Theorem Can Apply to the Sum

Mathematical and Applied Statistics Lesson of the Day – The Central Limit Theorem Can Apply to the Sum

The central limit theorem (CLT) is often stated in terms of the sample mean of independent and identically distributed random variables.  An often unnoticed or forgotten aspect of the CLT is its applicability to the sample sum of those variables, too.  Since , the sample size, is just a constant, it can be multiplied to to obtain […]

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Video Tutorial – Useful Relationships Between Any Pair of h(t), f(t) and S(t)

Video Tutorial – Useful Relationships Between Any Pair of h(t), f(t) and S(t)

I first started my video tutorial series on survival analysis by defining the hazard function.  I then explained how this definition leads to the elegant relationship of . In my new video, I derive 6 useful mathematical relationships that exist between any 2 of the 3 quantities in the above equation.  Each relationship allows one quantity […]

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Presentation on Statistical Genetics at Vancouver SAS User Group – Wednesday, May 28, 2014

Presentation on Statistical Genetics at Vancouver SAS User Group – Wednesday, May 28, 2014

I am excited and delighted to be invited to present at the Vancouver SAS User Group‘s next meeting.  I will provide an introduction to statistical genetics; specifically, I will define basic terminology in genetics explain the Hardy-Weinberg equilibrium in detail illustrate how Pearson’s chi-squared goodness-of-fit test can be used in PROC FREQ in SAS to check the Hardy-Weinberg equilibrium illustrate […]

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Introducing Probability

May 23, 2014
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Introducing Probability

I have a guilty secret. I really love probability problems. I am so happy to be making videos about probability just now, and conditional probability and distributions and all that fun stuff. I am a little disappointed that we won’t be … Continue reading →

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Introducing Probability

May 23, 2014
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Introducing Probability

I have a guilty secret. I really love probability problems. I am so happy to be making videos about probability just now, and conditional probability and distributions and all that fun stuff. I am a little disappointed that we won’t be … Continue reading →

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