Course – Course ID : Special Topics in Supply Management – ΤΕΟΔΕ 10

Course Title : Statistics

Level- Type of Course : Undergraduate – Lectures

Year of Study – Semester : 2nd0 – 3rd0

Number of Credits Allocated (ECTS) : 5,5

Prerequisites : None

Language of Instruction : Greek

Name of Lecturer : Dimitrios Stengos

Contact : Tel.: +30 2104142274, E-mail:stengos@unipi.gr

Office Hours : ………………., ……:00 – ……:30

Course Description:

Objectives of the course: The objective of the course is to acquaint the students with the

fundamentals of statistical inference . The emphasis is put on applications in the fields of

industrial studies and technology.

Course unit contents:

S/N Topics

1 Fundamental principle of counting, tree diagrams, permutations and combinations.

2

Basic probability theory: sample spaces and algebra of events, the concept of probability

(classical, empirical, axiomatic approach), conditional probability, multiplication rule,

independent events, Bayes’ rule.

3 Random variables and probability distributions.

4 Mathematical expectation, moments, moment generating function, Chebyshev’s inequality,

percentiles, measures of location(expected value, median, mode), measures of

dispersion(range. variance ,standard deviation, coefficient of variation ,mean deviation, semi-

interquartile range), skewness, kurtosis

5 Special probability distributions: binomial, Poisson, hypergeometric, geometric, negative

binomial, uniform, normal, lognormal, exponential, gamma, beta.

6 Jointly distributed random variables, joint distribution functions, marginal distribution

functions, covariance, correlation coefficient, variance of sums of random variables,

conditional expectation, variance and moments, independent random variables, law of large

numbers, the central limit theorem.

Course Description

7 Random samples, sample statistics, sampling distributions: chi square, t, F, sampling

distribution of means, variances, proportions, difference of means, difference of proportions,

ratio of variances.

8 Point estimation of population parameters, mean square error, unbiased estimators,

efficiency, consistency.

9 Interval estimation of population parameters, confidence coefficient, confidence interval for

means, proportions, difference of means, difference of proportions, variances, ratio of

variances.

10 Hypothesis testing, type I and type II errors, level of significance, power of a test, one tailed

and two tailed tests, special tests of significance for small samples concerning means,

differences of means, variances, ratio of variances, tests of significance for large samples

concerning means, differences of means, proportions, differences of proportions, p-value.

11 Simple linear regression, the method of least squares, the least- squares line, confidence

intervals and hypothesis testing regarding regression coefficients.

Assessment Method: written examination

Recommended Reading:

1)John E. Freund, Modern Elementary Statistics, 10th edition ,Prentice Hall,2000.

2)Murray R. Spiegel, John J. Schiller, R. Alu Srinivasan, Schaum’s Outline Series of Probability

and Statistics,4th Edition, McGraw Hill, 2013.

3)P. G. Hoel, S. C. Port, C. J. Stone, Introduction to Statistical Theory, Houghton Mifflin

Company,1971