Articles by rtutor.chiyau

Deep Learning in R (short)

August 1, 2016 | rtutor.chiyau

Deep learning has a wide range of applications, from speech recognition, computer vision, to self-driving cars and mastering the game of Go. While the concept is intuitive, the implementation is often tedious and heuristic. We will take a stab at sim... [Read more...]

Hierarchical Linear Model

July 22, 2013 | rtutor.chiyau

Linear regression probably is the most familiar technique of data analysis, but its application is often hamstrung by model assumptions. For instance, if the data has a hierarchical structure, quite often the assumptions of linear regression are feas... [Read more...]

Bayesian Inference Using OpenBUGS

July 22, 2012 | rtutor.chiyau

In our previous statistics tutorials, we have treated population parameters as fixed values, and provided point estimates and confidence intervals for them. An alternative approach is the Bayesian statistics. It treats population parameters as random... [Read more...]

Significance Test for Kendall’s Tau-b

April 15, 2012 | rtutor.chiyau

A variation of the standard definition of Kendall correlation coefficient is necessary in order to deal with data samples with tied ranks. It known as the Kendall’s tau-b coefficient and is more effective in determining whether two non-parametric data samples with ties are correlated. read more [Read more...]

Support Vector Machine with GPU

August 27, 2011 | rtutor.chiyau

Most elementary statistical inference algorithms assume that the data can be modeled by a set of linear parameters with a normally distributed noise component. A new class of algorithms called support vector machine (SVM) remove such constraint. rea... [Read more...]

Hierarchical Cluster Analysis

November 25, 2010 | rtutor.chiyau

With the distance matrix found in previous tutorial, we can use various techniques of cluster analysis for relationship discovery. For example, in the data set mtcars, we can run the distance matrix with hclust, and plot a dendrogram that displays a ... [Read more...]

GPU Computing with R

August 16, 2010 | rtutor.chiyau

Statistics is computationally intensive. Routine statistical tasks such as data extraction, graphical summary, and technical interpretation all require heavy use of modern computing machinery. Obviously, these tasks can benefit greatly from a paralle... [Read more...]

Type II Error

November 22, 2009 | rtutor.chiyau

In hypothesis testing, a type II error is due to a failure of rejecting an invalid null hypothesis. The probability of avoiding a type II error is called the power of the hypothesis test, and is denoted by the quantity 1 - β . read more [Read more...]

Non-parametric Methods

September 24, 2009 | rtutor.chiyau

A statistical method is called non-parametric if it makes no assumption on the population distribution or sample size. This is in contrast with most parametric methods in elementary statistics that assume the data is quantitative, the population... [Read more...]

Multiple Linear Regression

September 14, 2009 | rtutor.chiyau

A multiple linear regression (MLR) model that describes a dependent variable y by independent variables x1, x2, ..., xp (p __ 1) is expressed by the equation as follows, where the numbers α and βk (k = 1, 2, ..., p) are the parameter... [Read more...]

Analysis of Variance

September 1, 2009 | rtutor.chiyau

In an experiment study, various treatments are applied to test subjects and the response data is gathered for analysis. A critical tool for carrying out the analysis is the Analysis of Variance (ANOVA). It enables a researcher to differentiate treatm... [Read more...]

Elementary Statistics with R

June 5, 2009 | rtutor.chiyau

Ever wonder how to finish your statistics homework real fast? Or you just want a quick way to verify your tedious calculations in your statistics class assignment. We provide an answer here by solving statistics exercises with R. read more [Read more...]

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