Statistics

(Course Code: 406Υ, Course outline)

Semester: 4 Teaching Credits: 3 ECTS Credits: 5 Type: Compulsory
Prerequisite Courses:  – Course type: General background Instructor: Nikolaos Fyllas

The course provides an introduction to statistical reasoning emphasizing its applications to Environmental Sciences.  Course objectives are:

1.Understanding and use of basic statistical notions and the link to Basic Probability Theory

2.Description and analysis of quantitative data through the methods of descriptive statistics

3.Analysis and comprehension of the basic methods of inferential statistics and its applications

4.For the integrated use of the theoretical tools and methods examples are worked out in full with the use of SPSS

Topics per Week: Basic Probability Theory, sample spaces, discrete enumeration techniques, principles of combinatorial theory, conditional probability, theorems of Bayes and Bernoulli, main probability distributions, measures of central tendency, Central Limit Theorem and Laws of Large Numbers, Normal Distribution, approximation to the Binomial distribution, Descriptive Statistics, main descriptive measures, organizing aggregated data.  Estimation methods, point and interval estimators, estimator attributes (likelihood, moment methods).  Confidence intervals for means, ratio and variance of populations.  Hypotheses testing, types of errors, significance levels, p-values, relating confidence intervals with hypothesis testing.  χ2 fit test, contingency tables, introduction to single factor analysis of variance, multiple analysis of variance with interaction. Correlation between variables, hypotheses tests for the correlation coefficient.  Normality tests, with Kolmogoroff Smirnoff.  Linear regression, least square method, general linear model principles.
Theory – Lectures
(hours / week)
:
2
Exercises – Laboratories
(hours / week)
:
2
Other Activities:  –
Grading:  -1st mid-semester examination (40%) (optional)

-2nd mid semester examination (50%) (optional)

– (or)  Written examination at the end of the semester (90%)

– laboratorial SPSS exercises (10%)

Notes: 13 Power point   presentations
Basic Textbook:
  • Murray RSpiegel & Larry JStevens, (2000), «ΣΤΑΤΙΣΤΙΚΗ», Σειρά SCHAUM, Εκδόσεις Τζιόλα – Θεσσαλονίκη, Τρίτη Έκδοση, ISBN set: 960-8050-12-Χ, pages 671.
Bibliography: Κολυβά-Μάχαιρα/ Μπόρα-Σέντα, (1998), «ΣΤΑΤΙΣΤΙΚΗ ΘΕΩΡΙΑ ΑΣΚΗΣΕΙΣ», Εκδόσεις ΖΗΤΗ, ISBN: 960431338Χ, pages 495.

Ψώινος Π. Δημήτριος, (1999), «Στατιστική», Εκδόσεις ΖΗΤΗ, Έκδοση 2, ISBN: 9604315617, pages 456.

-Εγχειρίδια εκμάθησης του βασικού λογισμικού SPSS με ασκήσεις αυτοαξιολόγησης

Ρεντινιώτης Σταμάτης, (2004), «ΣΤΑΤΙΣΤΙΚΗ ΑΠΟ ΘΕΩΡΙΑ ΣΤΗΝ ΠΡΑΞΗ SPSS 11.0», Εκδόσεις Νέων Τεχνολογιών, ISBN 9608105552, pages475.

Χόουιτ Ντένις – Κράμερ Ντάνκα, (2003), «ΣΤΑΤΙΣΤΙΚΗ ΜΕ ΤΟ SPSS 11 ΓΙΑ WINDOWS», Εκδόσεις Κλειδάριθμος, ISBN 9602096721, pages292.

Language:

The course is taught in Greek. For exchange students, English literature is proposed and examinations are given in English

Internet Links:

http://davidmlane.com/hyperstat

http://www2.chass.ncsu.edu/garson/pa765/statnote.htm