Passion is like genius; a miracle.

Poisson process deals with occurrences that happen with low probability, and it  connects possison distribution and exponential distribution nicely. According to wikipedia entry, http://en.wikipedia.org/wiki/Poisson_process: [quote] The basic form of Poisson process, often referred to simply as “the Poisson process”, is a continuous-time counting process {N(t), t ≥ 0} that possesses the following properties: N(0) = 0 Independent increments (the numbers of occurrences counted in disjoint…

If samples are taken without replacement(i.e., sample taken is not put into the bin again) from population, then the sample follows hypergeometric distribution. In this case, each sample is not independent from each other. For example, if I take 1 out of the bin containing 1, 1, 2, 2, 3, then there’s no choice but…

Hypothesis testing was invented by Student (Student’s t-test) followed by Fisher, and then by Neyman and Pearson. The Fisher, Neyman-Pearson Theories of Testing Hypothesis: One Theory or Two by E. L. LEHMANN discuss on them.

Let’s build artificial data: Now, y has 3*x + error (which follows independent normal distribution.) Build a model: This shows that yhat = 3.0 * x – 1.168e-05. Let’s check the goodness of this model: Adjusted R-squared says that 100% of variation is explained by this linear regression, and we can see that t value…

Why ANOVA and Linear Regression Are the Same AnalysisThey’re just the same thing presented differently. Testing if means of A, B, and C are different = Testing if a and b are statistically significant in  Y=a*A+b*B+C.

bayesian – Generative vs discriminant models – Statistical Analysis – Stack Exchange

See which data has odds larger than 1. Checkout the model. References) 1. http://www.stat.cmu.edu/~cshalizi/490/clustering/clustering01.r

iris3 looks like this: Merge them into two dimensional matrix: Now, ir looks like this: And we have total of 150 rows where 1:50 is Setosa, 51:100 is Vericolor, and 101:150 is Virginica. Represents that using class.ind: In this example, we split data into two. One is for training and the other is for testing:…