## Statistical Computing Aims and Objectives

The purpose of this course is to introduce students to the use of modern statistical packages for analyzing various types of data commonly encountered in many areas of science. Students with limited computer experience will be introduced to some widely used statistical packages such as Excel, SPSS and R, a free version of S -PLUS. They will learn how to use these packages for analyzing various types of real life data. Mathematica will be introduced for symbolic computing with special reference to algebraic manipulation of statistical distributions.

Software Packages

Excel, SPSS, Stata, Minitab, R, Mathematica

Describing Categorical Data

Why Summaries of Single Variables?

Frequency Analysis

Standardizing the Chart Axis

Bar Chart, Pie Charts, and clustered bar chart

Exploratory Data Analysis: Scale Data

Summarizing Scale Variables

Measures of Central Tendency And Dispersion

Normal Distributions

Histograms And Normal Curves

Using The Explore Procedure: EDA

Standard Error of The Mean And Confidence Intervals

Shape of The Distribution

Boxplots

Probability and Inferential Statistics

The Nature of Probability

Making Inferences About Populations From Samples

Influence of Sample Size

Hypothesis Testing

Types of Statistical Errors

Statistical Significance and Practical Importance

Comparing Categorical Variables

Typical Applications

Crosstabulation Tables

Testing The Relationship: Chi-Square Test

Requesting The Chi-Square Test

Interpreting The Output

Graphing The Crosstabs Results

Extensions

Mean Differences Between Groups: T Test

Introduction

Logic of Testing for Mean Differences

Exploring The Group Differences

Testing The Differences: Independent Samples T Test

Interpreting The T-Test Results

Graphing Mean Differences

Bivariate Plots and Correlations: Scale Variables

Introduction

Exploring The Data

Scatterplots

Correlations

Introduction to Regression and Experimental Design

Introduction And Basic Concepts

The Regression Equation And Fit Measure

Residuals And Outliers

Assumptions

Simple Regression

Statistical Distributions

Simulating Statistical distribution

Plotting Statistical distribution

Mathematical Manipulation

Arithmetic

Algebra

Lists

Matrices

Plotting

Sums, Products and Limits

Differential Calculus

Integral Calculus

Power Series

Ordinary Differential Equations

Displaying and Analyzing Data

Case Studies

1991 US General Social

Text Books

Good, Phillip L (2005) "Introduction to statistics through resampling methods and Microsoft Office Excel", John Wiley & Sons, Inc., Hoboken, New Jersey

Andy Field (2005) "Discovering Statistics Using SPSS, Second Edition", SAGE Publications

Landau, Sabine. (2004) "A handbook of statistical analyses using SPSS", Chapman & Hall/CRC Press LLC

Cohen, Yosef. (2008) "Statistics and data with R : an applied approach through examples", John Wiley & Sons Ltd

Michael J. Crawley (2007) "The R Book", John Wiley & Sons Ltd

McMahon, David (2006) "Beginners Guide to Mathemaica", Chapman & Hall/CRC Press LLC