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Analysis with Programming

This blog is all about Statistics/Data Science, Mathematics and Computer Science with programming languages such as R, Python, and C/C++.

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Analysis with Programming | alstatr.blogspot.com Reviews
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Analysis with Programming | alstatr.blogspot.com Reviews

https://alstatr.blogspot.com

This blog is all about Statistics/Data Science, Mathematics and Computer Science with programming languages such as R, Python, and C/C++.

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1

Analysis with Programming: Parametric Inference: The Power Function of the Test

http://alstatr.blogspot.com/2015/05/parametric-inference-power-function-of.html

Friday, 1 May 2015. Parametric Inference: The Power Function of the Test. Table 1: Two Types of Errors in Hypothesis Testing. Let's formally define the power function, from Casella and Berger (2001), see reference 1. Of a hypothesis test with rejection region $R$ is the function of $ theta$ defined by $ beta( theta)= mathrm{P} { theta}( mathbf{X} in R)$. The LRT statistic is given by $ lambda( mathbf{x})= frac{ displaystyle sup { theta leq theta 0}L( theta mathbf{x})}{ displaystyle sup {- infty. Now let'...

2

Analysis with Programming: December 2014

http://alstatr.blogspot.com/2014_12_01_archive.html

Thursday, 25 December 2014. R: Principal Component Analysis on Imaging. Ever wonder whats the mathematics behind face recognition on most gadgets like digital camera and smartphones? Lets view it mathematically. Consider a line $L$ in a parametric form described as a set of all vectors $k cdot mathbf{u} mathbf{v}$ parameterized by $k in mathbb{R}$, where $ mathbf{v}$ is a vector orthogonal to a normalized vector. Mathbf{u}$. Below is the graphical equivalent of the statement:. Click ≻≻ more.

3

Analysis with Programming: Parametric Inference: Likelihood Ratio Test by Example

http://alstatr.blogspot.com/2015/04/parametric-inference-likelihood-ratio.html

Monday, 27 April 2015. Parametric Inference: Likelihood Ratio Test by Example. Hypothesis testing have been extensively used on different discipline of science. And in this post, I will attempt on discussing the basic theory behind this, the Likelihood Ratio Test (LRT) defined below from Casella and Berger (2001), see reference 1. The likelihood ratio test statistic. With corresponding PDF given by,. Implying, $ frac{k- theta 0}{ theta 0/ sqrt{n} =z { alpha} Rightarrow k= theta 0 z { alpha} frac{ theta 0...

4

Analysis with Programming: SAS®: Getting Started with PROC IML

http://alstatr.blogspot.com/2015/04/sas-getting-started-with-proc-iml.html

Saturday, 25 April 2015. SAS: Getting Started with PROC IML. Another powerful procedure of SAS, my favorite one, that I would like to share is the PROC IML (Interactive Matrix Language). This procedure treats all objects as a matrix, and is very useful for doing scientific computations involving vectors and matrices. To get started, we are going to demonstrate and discuss the following:. Creating and Shaping Matrices;. Probability Functions and Subroutine;. Reading and Creating Data;. Num mat[:, 1].

5

Analysis with Programming: September 2014

http://alstatr.blogspot.com/2014_09_01_archive.html

Sunday, 21 September 2014. Lets have fun on probability theory, here is my first problem set in the said subject. It was noted that statisticians who follow the deFinetti school do not accept the Axiom of Countable Additivity, instead adhering to the Axiom of Finite Additivity. Show that the Axiom of Countable Additivity implies Finite Additivity. If $A n downarrow emptyset$, then $P(A n) rightarrow 0$. Prove that the Axiom of Continuity and the Axiom of Finite Additivity imply Countable Additivity.

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The drunkard's walk in 2-D | StatsBlogs.com | All About Statistics

http://www.statsblogs.com/2015/08/12/the-dunkards-walk-in-2-d

The drunkard’s walk in 2-D. August 12, 2015. This article was originally published at The DO Loop. And syndicated at StatsBlogs. Last month I wrote about how to simulate a drunkard's walk in SAS. For a drunkard who can move only left or right in one direction. A reader asked whether the problem could be generalized to two dimensions. Yes! This article shows how to simulate a 2-D drunkard's walk. In fact, it is possible to simulate the drunkard's walk in. For the background information. Proc iml; call ran...

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Symmetry and Skewness | StatsBlogs.com | All About Statistics

http://www.statsblogs.com/2015/08/12/symmetry-and-skewness

August 12, 2015. This article was originally published at Econometrics Beat: Dave Giles' Blog. And syndicated at StatsBlogs. After taking your first introductory course in statistics you probably agreed wholeheartedly with the following statement:. A statistical distribution is symmetric if and only if it is not skewed.". After all, isn't that how we define "skewness"? In fact, that statement is incorrect. There are distributions which have a skewness coefficient of zero, but are asymmetric. Students are...

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xi'an - All About Statistics | All About Statistics

http://www.statsblogs.com/author/xian

August 30, 2016. The next AISTATS conference is taking place in Florida, Fort Lauderdale, on April 20-22. (The website keeps the same address one conference after another, which means all my links to the AISTATS 2016 conference in Cadiz are no longer valid. And that the above sunset from Florida is named… cadiz.jpg! The deadline for paper submission […]. Read more ». Bayesian Essentials with R [book review]. July 27, 2016. Read more ». The curious incident of the inverse of the mean. July 14, 2016. John ...

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Correlation is not a measure of reproducibility | StatsBlogs.com | All About Statistics

http://www.statsblogs.com/2015/08/12/correlation-is-not-a-measure-of-reproducibility

Correlation is not a measure of reproducibility. August 12, 2015. This article was originally published at Simply Statistics. And syndicated at StatsBlogs. Biologists make wide use of correlation as a measure of reproducibility. Specifically, they quantify reproducibility with the correlation between measurements obtained from replicated experiments. For example, the ENCODE data standards document. Suppose you have collected data from an experiment. And want to determine if a second experiment replicates...

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Hey—Don’t trust anything coming from the Tri-Valley Center for Human Potential! | StatsBlogs.com | All About Statistics

http://www.statsblogs.com/2015/08/13/hey-dont-trust-anything-coming-from-the-tri-valley-center-for-human-potential

Hey Don’t trust anything coming from the Tri-Valley Center for Human Potential! August 13, 2015. This article was originally published at Statistical Modeling, Causal Inference, and Social Science. And syndicated at StatsBlogs. Shravan sends along this article. By Douglas Peters and Stephen Ceci, who report:. Amusing. On the plus side, it could reflect a positive trend, that crappy papers that were getting accepted 2 years ago, would get rejected now. Please comment on the article here:. Gianluca Baio&#8...

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JSM 2015 [day #2] | StatsBlogs.com | All About Statistics

http://www.statsblogs.com/2015/08/11/jsm-2015-day-2

JSM 2015 [day #2]. August 11, 2015. This article was originally published at Xi'an's Og R. And syndicated at StatsBlogs. Oday, at JSM 2015, in Seattle, I attended several Bayesian sessions, having sadly missed the Dennis Lindley. Memorial session yesterday, as it clashed with my own session. In the morning sessions. The second Bayesian session. Veronika Rocková linked with this post-LASSO perspective by studying spike and slab priors based on Laplace priors. While Veronicka’s goal was to achiev...I concl...

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Eric CaiThe Chemical Statistician - All About Statistics | All About Statistics

http://www.statsblogs.com/author/eric-cai-the-chemical-statistician

Odds and Probability: Commonly Misused Terms in Statistics An Illustrative Example in Baseball. August 13, 2015. By Eric Cai - The Chemical Statistician. Read more ». Odds and Probability: Commonly Misused Terms in Statistics An Illustrative Example in Baseball. August 13, 2015. By Eric Cai - The Chemical Statistician. Read more ». Using and Producing a Control Chart in R for Statistical Process Control An Application in Analytical Chemistry. August 3, 2015. By Eric Cai - The Chemical Statistician. Updat...

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Fitting a multilevel model | StatsBlogs.com | All About Statistics

http://www.statsblogs.com/2015/08/11/fitting-a-multilevel-model

Fitting a multilevel model. August 11, 2015. This article was originally published at Statistical Modeling, Causal Inference, and Social Science. And syndicated at StatsBlogs. I am mainly using software R for statistical analyses. If the alternative of BRT is RDA, how can the model of RDA involve the data structure which seems to be a split-plot design? Or maybe I’m missing something here. In any case, here are some general comments:. 8211; If your missingness is only in the outcome variable, then just f...

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Neither time nor stomach | StatsBlogs.com | All About Statistics

http://www.statsblogs.com/2015/08/11/neither-time-nor-stomach

Neither time nor stomach. August 11, 2015. This article was originally published at Statistical Modeling, Causal Inference, and Social Science. And syndicated at StatsBlogs. Thought you might be interested in an EngageNY lesson plan for statistics. So far no (-2)x(-2) = -4 (based on a quick read), but still kind of weak. It bothers me that they keep talking about randomization but only for order of test; they assigned treatment A to the first ten of each batch. Maybe I’m just in a picky mood. Big Data, P...

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Analysis with Programming

Friday, 1 May 2015. Parametric Inference: The Power Function of the Test. Table 1: Two Types of Errors in Hypothesis Testing. Lets formally define the power function, from Casella and Berger (2001), see reference 1. Of a hypothesis test with rejection region $R$ is the function of $ theta$ defined by $ beta( theta)= mathrm{P} { theta}( mathbf{X} in R)$. Monday, 27 April 2015. Parametric Inference: Likelihood Ratio Test by Example. The likelihood ratio test statistic. Saturday, 25 April 2015. Another powe...

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