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

 Additional Two-Way Tables

 Graphing The Crosstabs Results

 Adding Control Variables

 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

 Reading The Data

 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