Nadeem Shafique Butt

Excel , SPSS , R, Mathematica

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.

Course Overview

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

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