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Estimating Pi

Recently I’ve been working on some jackknife and bootstrapping problems.  While working on those projects I figured it would be a fun distraction to take the process and estimate pi.  I’m sure this...

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True Significance of a T Statistic

The example is more of a statistical exercise that  shows the true significance and the density curve of simulated random normal data.  The code can be changed to generate data using either a different...

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Y2K38: Our Own Mayan Calendar…Again

It’s not quite the end of the world as we know it.  We made it through December 21, 2012 unscathed. It’s not going to be the last time we will make it through such a pseudo-calamity.  After all we have...

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Brief Thoughts on Data Entry: Excel Should Not to Be Used

Over the years I have worked with many people who do the field work to collect data. They have their process and it works for them. However, their work rarely extends beyond data collection. This often...

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Binomial Confidence Intervals

This stems from a couple of binomial distribution projects I have been working on recently.  It’s widely known that there are many different flavors of confidence intervals for the binomial...

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Bootstrap Confidence Intervals

Here is an example of nonparametric bootstrapping.  It’s a powerful technique that is similar to the Jackknife. With the bootstrap, however, the approach uses re-sampling. It’s clearly not as good as...

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Distribution of T-Scores

Like most of my post these code snippets derive from various other projects.  In this example it shows a simulation of how one can determine if a set of t statistics are distributed properly.  This can...

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Simulating Random Multivariate Correlated Data (Continuous Variables)

This is a repost of an example that I posted last year but at the time I only had the PDF document (written in ).  I’m reposting it directly into WordPress and I’m including the graphs. From...

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Simulating Random Multivariate Correlated Data (Categorical Variables)

This is a repost of the second part of an example that I posted last year but at the time I only had the PDF document (written in ). This is the second example to generate multivariate random...

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Significant P-Values and Overlapping Confidence Intervals

There are all sorts of problems with p-values and confidence intervals and I have no intention (or the time) to cover all those problems right now.  However, a big problem is that most people have no...

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Dirichlet Process, Infinite Mixture Models, and Clustering

The Dirichlet process provides a very interesting approach to understand group assignments and models for clustering effects.   Often time we encounter the k-means approach.  However, it is necessary...

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Finding the Distribution Parameters

This is a brief description on one way to determine the distribution of given data. There are several ways to accomplish this in R especially if one is trying to determine if the data comes from a...

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Simulating the Gambler’s Ruin

The gambler’s ruin problem is one where a player has a probability p of winning  and probability q of losing. For example let’s take a skill game where the player x can beat player y with probability...

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Amazon AWS Summit 2013

I was fortunate enough to have been able to attend the Amazon AWS Summit in NYC and to listen to Werner Vogels give the keynote.  I will share a few of my thoughts on the AWS 2013 Summit and some of my...

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Free e-Copy of Bayesian Computation with R (Use R)

Amazon is currently making the first edition of Bayesian Computation with R (Use R) by Jim Albert available for free on Kindle. I own a copy of the book and there is a lot of good content and R...

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A Brief Tour of the Trees and Forests

Tree methods such as CART (classification and regression trees) can be used as alternatives to logistic regression. It is a way that can be used to show the probability of being in any hierarchical...

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The Future of Non Probability Sampling

While attending the American Association for Public Opinion Research conference in Boston, MA the topic of non-probability samples was something of a reoccurring theme. I attended the task force panel...

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Will Mu Go Out With Median

True story (no really, this did actually happen).  While in grad school one of the other teaching assistants was approached by one of the students and was asked “will mu go out with median?”  The...

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Hey, I Just did a Significance Test!

I’ve seen it happens quite often. The sig test. Somebody simply needs to know the p-value and that one number will provide all of the information about the study that they need to know. The dataset is...

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Latent Class Modeling Election Data

Latent class analysis is a useful tool that is used to identify groups within multivariate categorical data.  An example of this is the likert scale. In categorical language these groups are known as...

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