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FPAS -> DMCS -> Mathemtics -> Undergraduate Courses -> M31E



Title image: M31e Applied Statistics
Semester I 2006

 


Teaching Philosophy

'Whatever be the detail with which you cram your students, the chance of them meeting in after-life exactly that detail is almost infinitesimal; and if they do meet it they will probably have forgotten what you taught them about it. The really useful training yields a comprehension of a few general principles with a thorough grounding in the way they apply to a variety of concrete details. In subsequent practice, the students will have forgotten your particular detail, but they will remember by an unconscious common sense how to apply principles to immediate circumstances."
 
Alfred N. Whitehead: The Aims of Education & other Essays.
       
Introduction

This course is intended to provide a foundation in those applied statistical concepts, techniques and methods that students are like to encounter within an economic and business environment. The objective is to familiarize the student with the underlying principles essential to the decision-makers understanding of the reliability of such.
       
Course Content

  1. Forecasting with the Regression Model
    1. Simple Linear Regression
    2. Multiple Linear Regression
  2. Forecasting with the Time Series Model
       
Course Objectives

On completion of this course, the student should be able to do the following:
  1. For estimators: determine whether an estimator is biased or efficient

  2. Calculate the least squares estimates of the parameters of the single and multiple regression models and use knowledge of their distribution for hypothesis testing and development of confidence intervals.

  3. Test a given linear regression model's fit to a given data set

  4. Assess the appropriateness of the linear regression model for a given data set by checking for such irregularities as heteroscedasticity, serial correlation, and multicollinearity

  5. Develop deterministic forecasts from time series data, using simple extrapolation and moving average models, applying smoothing techniques when appropriate.

  6. Use the concept of the autocorrelation function of a stochastic process to test the process for stationarity

  7. Test the hypothesis that a given stochastic process is Random Walk.
       
Course Material
References (Texts, Sites,…) 

Econometric Models & Econometric Forecasts
Robert S. Pindyck & Daniel L. Rubinfield

Introduction to Econometrics
Christopher Dougherty:

Business Statistics in Practice

Bowerman, OConnell & Hand

 
Course Structure  
Lectures    
  Tuesdays 10:00 - 11:00 & 12:00 - 1:00
       
  Thursdays 12:00 - 2:00
       
Consultation Hours: Tuesdays & Wednesdays 10:00 - 12:00
       
Assignments: Assignments are useful practice for exam preparation, and also may provide evidence of ability for border-line exam candidates. Therefore, it is in your best interest to complete and submit all assignments on time.
       
Assessment Method    
  In-course Test (20%): 2 hour written paper
October 19th
  Final Exam (80%): 2 hour written paper.

       
       
Handouts  
       
Lecture Plan  
I FORECASTING WITH REGRESSION MODELS (objectives 1-4)
       
     
[Reading EM 3]
     
Simple Linear Regression analysis- development of a
statistical model using single numerical independent variable
X to predict the numerical dependent variable Y.

Correlation analysis- measure of the strength of the
association between two numerical variables.

Goodness of fit & Testing Hypotheses

       
NB:
IN-COURSE TEST covers Part I
 
       
       
     
[Reading EM 4]
     
Multiple Linear Regression analysis- development of a
statistical model using more than one numerical independent
variable X to predict the numerical dependent variable Y.

Goodness of fit & Testing Hypotheses

Departures from regression assumptions: - Heteroscedasticity, Serial correlation, Multicollinearity.

       
II FORECASTING WITH TIME SERIES MODELS (objectives 5-7)
       
     
[Handout]
     
Random Walk Model
Moving Average Model
Autoregressive Model

     
NB:
IN-COURSE TESTS: October 3… Topic I; November 14… Topic II
       
       
Practice & Review Sheets  
Problem Papers  
Past Exam Papers  
  • Final Exam December 2004 (doc, pdf)
  • Incourse Test - October 2005 (doc, pdf)
  • Incourse Test Solutions - October 2005 (doc, pdf)
Notices  
       
       
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