Statistics I

Subject

This course is the introductory lesson in the concepts of Statistics. It aims at introducing the students to the basic concepts of descriptive statistics, probability theory and statistical inference.

1. Descriptive Statistics: the concepts of population, sample and variable in Statistics, tabulation and graphical representation of quantitative and qualitative data, a procedure and the purpose for grouping quantitative data into classes (Sturges’ empirical formula, types of classes or intervals and class boundaries or exact limits), measures of central tendency and variability.
2. Probability & Probability Distributions: the notion of probability, sample space and events, definitions and axioms of probability, theorems for the calculations of probabilities, conditional probability and independence, the law of total probability and Bayes’ theorem, random variables and probability distributions, the binomial, Poisson and normal distributions.
3. Statistical Inference: the approach for the generalization from a sample to the population using sample statistics and sampling distributions, point estimation (the method of maximum likelihood and the criteria for selecting among possible estimators), The Central Limit Theorem, interval estimation and hypothesis testing, estimations and tests for the parameters of a binomial, normal and Poisson population, estimation and test for the difference between two proportions from independent binomial populations, a test for the equality of variances from two normal populations, estimations and tests for the difference between the means of two independent normal populations, paired-observations comparisons, tests for independence and homogeneity in r x c contingency tables.

Educational Aims

This course is the introductory lesson in the concepts of Statistics. It aims at introducing the students to the basic concepts of descriptive statistics, probability theory and statistical inference.

By the end of this course the student will be able to:

• understand the statistical way of thinking in dealing with problems that come into sciences, but also in everyday life
• apply the statistical way of thinking to real problems from the field of economic and agronomic sciences, but also from their everyday life
• know in-depth the basic theoretical knowledge about the subject
• use knowledge and understanding acquired in a manner that indicates a professional approach to their  work or profession
• have competences typically demonstrated by developing and supporting arguments and solving problems within their field of knowledge
• communicate information, ideas, problems and solutions to both specialist and non-specialist public
• develop knowledge acquisition skills needed to continue to post graduate studies with a high degree of autonomy
• gather and interpret relevant data (in their knowledge field) to form judgments that include reflection on relevant scientific issues 

Student Evaluation

Written examination after the end of the semester (100%) including:

• Multiple-choice questions
• Solving descriptive statistics problems
• Solving probability and probability distributions problems
• Solving statistical inference problems
• Benchmarking theory elements

Bibliography

1. Γ. Κ. Παπαδόπουλος, Εισαγωγή στις Πιθανότητες και τη Στατιστική, Εκδόσεις Γ. Δαρδάνος – Κ Δαρδάνος Ο.Ε., Έκδοση 1^η, 2015 (in Greek).
2. Χ. Ζαχαροπούλου, Στατιστική Τόμος Α’, Εκδόσεις «Σοφία» Ανώνυμη Εκδοτική & Εμπορική Εταιρεία, Έκδοση 6^η, 2014 (in Greek).
3. Aczel, A. και Souderpandian, J., Στατιστική στον Κόσμο των Επιχειρήσεων, Π. Χ. Πασχαλίδης, Αθήνα 2013 (in Greek).
4. Γναρδέλλης, Χ., Εφαρμοσμένη Στατιστική, Παπαζήση, Αθήνα 2003 (in Greek).
5. Downing, D. και Clark, J., Στατιστική των Επιχειρήσεων, Κλειδάριθμος, Αθήνα 1998 (in Greek).
6. Κιντής, Α., Σύγχρονη Στατιστική Ανάλυση (συμβολή στην επιστημονική έρευνα και στη λήψη των αποφάσεων), Τόμος Α, Gutenberg, Αθήνα, 2002 (in Greek).
7. Πανάρετος, Ι. και Ξεκαλάκη, Ε., Εισαγωγή στη Στατιστική Σκέψη, Τόμοι Ι και ΙΙ, Αθήνα 2000 (in Greek).
8. Χαλικιάς, Ι., Στατιστική (μέθοδοι ανάλυσης για επιχειρηματικές αποφάσεις), Rosili, Αθήνα 2010 (in Greek).
9. Χατζηνικολάου, Δ., Στατιστική για Οικονομολόγους, Printshop, Ιωάννινα 2003 (in Greek). 
10. Introduction to Statistics: Fundamental Concepts and Procedures of Data Analysis, Howard M. Reid, Paperback: 632 pages, Publisher: SAGE Publications, Inc; 1 edition (August 28, 2013), Language: English, ISBN-10: 1452271968.
11. Introduction to Statistics and Data Analysis,  Heumann, Christian, Schomaker, Michael, Shalabh, Publisher: Springer International Publishing, 1st Edition, ISBN: 978-3-319-46160-1.
12. Introduction to Statistics, Carmine DeSanto,‎ Richard Moscatelli,‎ Rachel Rojas,‎ Mike Totoro, Paperback: 872 pages, Publisher: Pearson Learning Solutions; 10 edition (January 25, 2015), Language: English, ISBN-10: 1323056300