University of Eskisehir Osmangazi Statistics Blogspot

Two Sample Variance Test Two Sample Variance Test with MATLAB.

Lorenz Curve Lorenz Curve with MATLAB.

The Maximum Likelihood Estimator of the Linear Model The M.L.E. of the Linear Model

Correspondence Analysis Correspond Analysis MATLAB code

Normal Distribution Normal Distribution

A-D Weibull Test Anderson Darling Weibull Test (MATLAB)

Minitab Quality Control  Book (Minitab Quality Tool)

Matrices Matrices (MATLAB)

Common Statistical Mistakes Common Statistical Mistakes

Compare Correlation Coefficients Compare Corr. Coeff. (MATLAB)

History of Categorical Data Analysis History of CDA

Poisson Plot Poisson Plot MATLAB

Moment Generating Function MGF

Moving Average Moving Average (MATLAB)

Historical Origin of The Term Regression The Term Regression

Continous Distributions Continous Distributions

Discrete Distributions Main Discrete Distributions

Compares Probabilities (Two Binomial Samples) Compares Probabilities of Two Binomial Samples MATLAB code.

Normality Tests Normality Tests

Blood Type Blood Type MATLAB code.

Card Probability Card Probability MATLAB code.

One Way ANOVA Parameter Estimation One Way ANOVA Parameter Estimation.

One Sample t test One Sample t test MATLAB code.

One Way ANOVA F test One Way ANOVA MATLAB code.

Regression Likelihood Regression Likelihood MATLAB code.

Properties of Multivariate Normal Random Variables Properties of Multivariate Normal Random Variables.

Rejection Method Rejection Method MATLAB code.

Maximum Likelihood of Regression Model Maximum Likelihood Estimation of Regression Model

Taylor Expansion Taylor Expansion MATLAB code.

Statistician's pi value Statistician's pi value MATLAB code.

Binom Probabilities Binom Probabilities MATLAB code.

Properties of a random sample from Normal Properties of a random sample from Normal MATLAB code.

Probability that Catch The Train Probability that Catch The Train MATLAB code.

Multicollinearity How to detect MultiCollinearity

Goodness of Fit Goodness of Fit MATLAB code.

Continuity of Probabilities Continuity of Probabilities

                                                       Memoryless      +      Memoryless (Exponential)

Theorem Theorem 1

QQ Plot QQ Plot for Exponential Dist. MATLAB code.

Conditional Probability Conditional Probability.

Symbol Plotting Symbol Plotting MATLAB code.

Ellipse Plotting Ellipse Plotting MATLAB code.

Regression Line CI Regression Line CI MATLAB code.

Empirical CDF Empirical CDF MATLAB code.

An Inequality for Means An Inequality for Means.

OLS OLS.

p-values p-values.

Variance Ratio Test Variance Ratio Test MATLAB code.

Uniform-Exponential Relationship Unifrom-Exponential Relationship.

Binom Transformation Binomial Transformation.  

Social Media Stats Social Media Statistics (Q2 2012-Q4 2012).

Two Sample Binomial Test Two Sample Binomial Test MATLAB code.

MSE Normal Normal MSE.

Two Sample t test Two Sample t test MATLAB code.

Linear Combination of Independent Normal Random Variables Linear Combination of Independent NORMAL Random Variables.

Minimizing Distance Minimizing Distance

Expected Value of Cauchy Expected Value of Cauchy Distribution

Estimated Corr. Estimated Rho MATLAB Code.

Correlation Correlation Rho.

Example of Chebychev Examples of Chebychev.

Maximum of Uniforms Maximum of Uniforms.

t Distribution Graphs t Distribution Graphs MATLAB code.

Distribution of the ratio of NormalVariables Distribution of the ratio of Normal variables

Proof of the range of Correlation Coeff. Proof of the range of Corr. Coeff.

Proof of Chebychev's Inequality Proof of Chebychev's Inequality.

Distribution of The Product of Beta variables Distribution of the product of Beta variables

MLE Normal Distribution Normal Distribution (MLE) MATLAB code.

Normal Fitting Data Normal Fitting MATLAB code.

Dice Example Dice Example MATLAB code.

Dice Example Dice Example MATLAB code.

PMF and PDF PMF and PDF.

Properties of Normal Distribution Properties of Normal Distribution.

Cochran Q Cochran Q test MATLAB code

Area Under Normal Curve Area Under Normal Curve

Degrees of freedom Degrees of freedom.

Normal Binom Approx. Normal Binom Approx.

Dot Plot Dot Plot MATLAB code

Mean Mean

Expected Value What is Expected Value?.

Useful Commands For MV in MATLAB Useful Commands For MV in MATLAB is here.

Advantages of Multivariate Analysis Advantages of MV

Estimated Variance For Exponential Distribution Estimated Variance For Exponential Distribution MATLAB code is here.

Estimated Mean and Variance For Exponential Distribution Estimated Mean and Variance For Expo. Dist. MATLAB code is here.

When MLE to estimate parameters When MLE to estimate

Least Squares Least Squares MATLAB code

Chebyshev Inequality Chebyshev Inequality MATLAB code is here.

Anderson-Darling Normality Test AD Normality Test MATLAB code is here.

Multiple Regression Models Multiple Regression Models and LSE.

Mysterious of Sqrt(2*pi) Mysterious of 2*pi

Coin Tosses Simulation Coin Tosses Simulation MATLAB code is here.

Probability and Statistics Questions and Its Solutions Probability and Statistics Questions and Its Solutions  

What is the probability mass function of X? What is the probability mass function of X?.

Cov(aX+b,cY+d) Proof of Cov(aX+b,cY+d) is here.

Computing Expectations by Conditioning Proof of E(E(X|Y))=E(X) is here.

Expected Value of |X-Y| An example of E(|X-Y|) is here.

Proof of Multivariate Central Limit Theorem Proof of MVCLT is here.

Multivariate Central Limit Theorem Multivariate Central Limit Theorem is here.

Beta Power Beta Power MATLAB code is here.

Distribution Fitting For Distribution Fitting click here.

Win A Poll To Win a Poll estimate click here.

  Why Should We Study Statistics? The discussion at the link will help you to understand a little better what the terms measurement and statistics mean.   Why Should We Study Statistics?

Least Squares Parameter Estimation Parameter Estimation of Least Squares is here.

Variance Estimation Variance Estimation MATLAB code is here.

MLE of Normal Distribution MLE of Normal Distribution MATLAB code is here.

Power of a test The power of a statistical test is the probability that it will correctly lead to the rejection of a false null hypothesis. See more: Power of a statistical test

Overview Of Multivariate Methods Table for Multivariate Methods is here: Overview of Multivariate Methods

Regression Coeff. Simulation You can see how to simulate regression coeff. by clicking this link : Regression Coeff. Simulation

Regression Outliers An outlier is an extreme observation. Typically points further than, say, three or four standard  deviations from the mean are considered as “outliers”. How to detect outliers and see more:  Regression Outliers

Pseudo-R2 Measures for Common Limited Dependent Variable Models  This paper reviews some of the many R2-type measures (or Pseudo- R2's) that have been proposed for estimated limited dependent variable models. A limited dependent variable model is a model where the observed dependent variable is constrained, such as in the binary model where it must be either zero or one. See more: Pseudo R-Square Measures for Common Limited Dependent Variable Models

Fitting Fitting

History of Probability What is Probability? In essence:   Mathematical modeling of random events and phenomena. It is fundamentally different from modeling deterministic events and functions, which constitutes the traditional study of Mathematics.   However, the study of probability uses concepts and notions taken straight from Mathematics; in fact Measure Theory and Potential theory are expressions of abstract mathematics generalizing  the theory of Probability.   See more:  History of Probability

Table Value Table Value

t Distribution t Distribution

Gamma Distribution Gamma Distribution

Five Steps For Every Statistical Hypothesis Test Five Steps For Every Statistical Hypothesis Test

M.L.E. Of Linear Regression M.L.E. Of Linear Regression

Principal Component Analysis Principal Component Analysis

Chi Square Random Number Generator Chi Square Random Number Generator

Differences Between PCA and FA Differences Between PCA and FA

Samples from Normal Samples from Normal

Empirical CDF Empirical CDF

Hosmer-Lemeshow Statistics Hosmer-Lemeshow Statistics

Pie Plot Pie Plot

Normal Plot Normal Plot

Statistical Significance

Bias... Bias...  

A Quote... A Quote...

P-Value This statistics page presents material relevant to proper interpretation and understanding of p-values. Here is Anderson’s issue about p-values: http://warnercnr.colostate.edu/~anderson/PDF_files/TESTING.pdf This issue’s abstract says: Here is a JAVA applet that demonstrates that common interpretations of p-values can be very misleading; an explanation of the applet is available as a  pdf file. Java Applet:  http://www.stat.duke.edu/~berger/applet2/pvalue.html Pdf file: http://www.stat.duke.edu/~berger/applet2/applet.pdf