EM 505
STATISTICS FOR ENGINEERS
Time: Tuesdays
Instructor: Prof.Dr. Sait C. Sofuoğlu
Office: Chemical Engineering, Room-160
Email: [email protected]
Phone: 750-6648
Course Website: www.iyte.edu.tr/~cemilsofuoglu/em505.htm
This is an introductory course that aims to
teach basic statistical methods for engineers.
The course subjects include NumericalGraphical Data Representation-Summary,
Random Variables-Probability-Distributions,
Hypothesis Testing, and Simple Linear
Regression.
7. Linear Regression and Correlation
Method of least squares estimation, properties
of least squares estimators, inferences based
on least squares estimators, checking adequacy
of the model; correlation; regression using
transformed variables; multiple linear
regression. (3 weeks)
Tentative Outline and Schedule of Topics
Coursework and Grading
1. Introduction – Statistics in Engineering (0.5 weeks)
2. Basic Probability Concepts
Sample space and events, probability axioms,
elementary rules of probability, conditional
probability, Bayes' Theorem. (1.5-weeks)
3. Random Variables and Probability Distributions
Random variables, discrete and continuous,
probability distributions, distribution function
and probability density function; mean and
variance of a probabilty distribution; special
discrete distributions: binomial, geometric,
negative binomial, Poisson, multinomial;
special continuous distributions: normal,
uniform, log-normal, gamma, Weibull; joint
probability distributions. (2 weeks)
4. Treatment of Data and Descriptive Statistics
Dot diagrams, histograms, stem-and-leaf
displays; descriptive measures: sample mean,
median, variance, standard deviation; quantiles
and percentiles; boxplots. (1 week)
5. Random Samples and Sampling Distributions
Random sampling, estimators, method of
maximum likelihood, sampling distributions.
(1 week)
6. Statistical Inference for Single Sample – Two
Samples
Tests of hypotheses, inference on the mean,
two means, inference on the variance or two
variances. (3 weeks)
Homeworks (0%),
Term paper (20%),
Midterm Exam (40%), November 22, 2016
Final Exam (40%), January 10, 2017
Textbook
Douglas C. Montgomery & George C. Runger
Applied statistics and probability for
engineers, Wiley.
Software
Any software such as MS Excel, SPSS,
Statistica, Minitab, SAS, S Plus, R,
Methematica, Matlab, capable of conducting
tasks pertinent to the above topics can be
used.
Resources in the library
1. Lefebvre, Mario. Applied Probability and
Statistics, Springer Science+Business Medi
New York, NY, 2005.
2. Marques de S¨L, Joaquim P, Applied
Statistics Using SPSS, STATISTICA,
MATLAB and R, Springer-Verlag, Berlin,
2008.
and many others...