CENG 272 Statistical Computations
Spring 2012

Most recent announcement: August 25

Announcements

Watch this space for the latest updates (If the characters do not show properly, please try viewing this page with Unicode (UTF-8) encoding). Last updated:

25.Ağustos.2012 02:00 Final Make-Up Exam will be held on August 29, 2012 Wendesday at 10:00 AM. Exam Hall is LA16.

• DO NOT FORGET TO BIRING FORMULAE SHEET (available ) TO THE EXAM HALL. DO NOT ADD ANY FORMULAE BY YOURSELF TO THIS SHEET.

• DO NOT FORGET TO BIRING NECESSARY TABLES FOR THE EXAM.

• DO NOT FORGET TO BIRING YOUR CALCULATOR FOR THE EXAM. YOU ARE NOT ALLOWED TO USE ANY OTHER ELECTRONIC EQUIPMENT IN THE EXAM.

13.Haziran.2012 14:04 14:51 Distribution of the grades is given.

11.Haziran.2012 12:51 The evaluation of final exam papers is completed. Your final exam grades are available, check your sql server.

5.Haziran.2012 23:00 There will be a make-up exam on Jun 11, 2012 Monday at 10:00 (the exam time is subject to change due to conflicts with other exams). The list of the students that I have Doctor's written excuse ;

• Abdullah Alnıaçık - Midterm

• Others (not be valid until i received a valid report)

5.Haziran.2012 22:59 DO NOT FORGET TO BIRING FORMULAE SHEET (available ) TO THE EXAM HALL. DO NOT ADD ANY FORMULAE BY YOURSELF TO THIS SHEET.

5.Haziran.2012 22:58 DO NOT FORGET TO BIRING NECESSARY TABLES FOR THE EXAM.

5.Haziran.2012 22:57 DO NOT FORGET TO BIRING YOUR CALCULATOR FOR THE EXAM. YOU ARE NOT ALLOWED TO USE ANY OTHER ELECTRONIC EQUIPMENT IN THE EXAM.

28.Mayıs.2012 11:01 Quiz5 grades is available, see Course Schedule section

16.Mayıs.2012 08:41 Quiz4 grades is available, see Course Schedule section

3.Mayıs.2012 11:23 Quiz3 grades is available, see Course Schedule section

2.Mayıs.2012 18:20 The evaluation of midterm exam papers is completed. Your midterm exam grades are available, check your sql server.

16.Nisan.2012 14:24 Quiz1 & Quiz2 grades are available, see Course Schedule section. We have a password protection mechanism (username: cankaya password: cankaya).

2.Nisan.2012 15:21 Formulae sheet is available.

• DO NOT FORGET TO BRING THIS FORMULAE SHEET TO THE EXAM HALL.

• DO NOT ADD ANY FORMULAE BY YOURSELF TO THIS SHEET.

• DO NOT FORGET TO BRING YOUR CALCULATOR FOR THE EXAM.

• YOU ARE NOT ALLOWED TO USE ANY OTHER ELECTRONIC EQUIPMENT IN THE EXAM.

6.Mart.2012 22:49 Lecture Hall is changed as M-A02 for Wednesday and Thursday classes.

15.Şubat.2012 10:27 In the first lecture, there will be first metting and Introduction to Statistics and Data Analysis. Lecture notes for the other weeks are published, see Course Schedule section.

Overview

Computational statistics is statistics that uses computation, often a lot of computation, while statistical computing is computational mathematics. Both fields are hybrids, but it seems that in computational statistics the emphasis is on the statistics and in statistical computation the emphasis is on the tools.

Ceng 272 is intended as a calculus-based probability and statistics course and gives an introduction to probability theory and statistics that emphasizes the mathematical foundations required to understand probability models and statistical methods. Among the topics covered will be;

• To introduce various statistical methodologies and their applications in data analysis.

• To provide students with a good understanding of the theory of probability and the basic methods of statistics.

• Data, Graphical Descriptive Techniques. Use statistical concepts such as means, variances and various types of graphs to analyze datasets.

• Understand basic concepts in probability including sample spaces, events, probability rules, conditional probability, independent events and Bayes rule.

• Random variables and their distributions.

• Sampling distributions - Sampling, law of large numbers, central limit theorem.

• Understand confidence intervals and perform statistical inference such as hypothesis testing and regression.

Lecture Information

There are two groups for lecturing , you may attend any one of the lecture hours. You MAY have a quiz (10 minutes) for the previos week's subjects. There won't be any make-up for these quizes and they will have weight for the final grading. We have a pop-up quiz policy.

Important announcements will be posted to the Announcements section of this web page above, so please check this page frequently. You are responsible for all such announcements, as well as announcements made in lecture.

Course Outline

• Contents

• List of Tables

• List of Figures

• First Meeting

  • Lecture Information

  • Overview

  • Text Book

  • Grading Criteria & Policies

  • Introduction to Statistics and Data Analysis

  • Overview

  • Role of Probability

  • Sampling Procedures

  • Measures of Location: Sample Mean and Median

  • Measures of Variability

  • Discrete and Continuous Data

  • Statistical Modeling, Scientific Inspection, and Graphical Diagnostics

  • Graphical Methods and Data Description

  • General Types of Statistical Studies

  • Exercise Set I

• Probability

  • Sample Space

  • Events

  • Counting Sample Points

  • Probability of Event

  • Additive Rules

  • Conditional Probability

  • Multiplicative Rules

  • Bayes'Rules

  • Exercise Set II

• Random Variables and Probability Distributions

  • Concept of a Random Variable

  • Discrete Probability Distributions

  • Continuous Probability Distributions

  • Joint Probability Distribution

  • Exercise Set III

• Mathematical Expectation

  • Mean of a Random Variable

  • Variance and Covariance

  • Means and Variance of Linear Combinations of Random Variables

  • Chebyshev's Theorem

  • Exercise Set IV

• Some Discrete Probability Distributions

  • Introduction and Motivation

  • Discrete Uniform Distribution

  • Binomial and Multinomial Distribution

  • Hypergeometric Distribution

  • Negative Binomial and Geometric Distributions

  • Poisson Distribution and the Poisson Process

  • Exercise Set V

• Some Continuous Probability Distributions

  • Continuous Uniform Distribution

  • Normal Distribution

  • Areas Under the Normal Curve

  • Applications of the Normal Distribution

  • Normal Approximation to the Binomial

  • Gamma and Exponential Distributions

  • Chi-Squared Distribution

  • Lognormal Distribution

  • Exercise Set VI

• Fundamental Sampling Distributions and Data Distributions

  • Random Sampling

  • Some important statistics

  • Data Display and Graphical Methods

  • Sampling Distribution

  • Sampling Distribution of Means

  • Sampling Distribution of Means (Continued)

  • Sampling Distribution of

  • -distribution

  • -distribution

  • Exercise Set VII

• References:

• Vita

• About this document ...

Text Book

Required

Readings will be assigned in Probability & Statistics for Engineers & Scientists, 8/E by Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers,Keying Ye, Prentice Hall, 2006.

Recommended

Statistics for Engineering and the Sciences, 5/E by William Mendenhall, Terry Sincich, Prentice Hall, 2006. This text is only recommended rather than required. This book is useful for reference, for an alternative point of view.

Grading Criteria

• There will be a midterm and a final exam, will count 25% and 45% of your grade, respectively.

• Quiz: 15% (worst of the quizes will be discarded)

• Attendance is required and constitutes part of your course grade; 15%

Policies

• Attendance is not compulsory, but you are responsible for everything said in class.

• I encourage you to ask questions in class. You are supposed to ask questions. Don't guess, ask a question!

• You may discuss homework problems with classmates (although it is not to your advantage to do so).

• You can use ideas from the literature (with proper citation).

• You can use anything from the textbook/notes.

Course Schedule

The following schedule is tentative; it may be updated later in the semester, so check back here frequently.