Statistics

General

• Code: TΑBO-26-Β6
• Semester: 2nd
• Study Level: Undergraduate
• Course type: General Background
• Teaching and exams language: Greek
• Teaching Methods (Hours/Week): Lectures (3) / Practice works (1)
• ECTS Units: 5
• Course homepage: https://eclass.emt.ihu.gr/courses/FD278/
• Instructors: Tziolas Emmanouil

Course Contents

• Statistical approach to problems: a brief overview.
• Enumeration (multiplicative principle, enumeration of arrangements, permutations and combinations).
• The concept and basic properties of probability.
• Bound probability (definition, multiplicative formula, total probability theorem, Bayes formula), independence.
• Random variables (distribution function of a random variable, discrete and continuous random variables, probability function of a discrete random variable, density function of a continuous random variable, mean and variance of a discrete and continuous random variable).
• Special discrete distributions (Bernoulli, Binomial, Poisson).
• Special continuous distributions (Normal).
• Central limit theorem.
• From probability to statistics.
• Descriptive statistics (frequency distribution table, numerical descriptive measures, bar chart, pie chart, histogram, histogram).
• Sampling distributions.
• Estimator (point estimate, properties of estimators, estimate with confidence interval (a) for the mean of a population (b) for the difference of the means of two populations with independent samples and with paired observations (c) for the proportion of a (binomial) population d) for the difference of two percentages).
• Statistical tests ((a) for the mean of a population (b) for the comparison of the means of two populations with independent samples and with paired observations (c) for the proportion of a (binomial) population and (d) for the comparison of two proportions).
• Analysis of variance ((a) one-factor (b) two-factor with and without interaction).
• X2 test (goodness of fit, independence).

Educational Goals

Upon successful completion of the course, the student is expected to:

• Distinguish stochastic from causal phenomena and experiments.
• Use basic probability tools and basic enumeration rules and methods.
• Understand the practical value and importance of probabilities and interpret stochastic phenomena and experiments.
• Describe and summarize data gathered from observing a phenomenon or performing an experiment.
• Translate a research question into an appropriate hypothesis test(s), given the data and how they were collected (experimental design or sampling design) and within the limits of the course content.
• Apply statistical hypothesis tests and construct confidence intervals of his choice to draw conclusions from experimental or sample data (and within the limits of course content).
• Understand the conditions required for the application of the statistical methods he/shechooses, as well as the necessity of checking these conditions.
• Understand and correctly interpret statistical significance tests.
• Formulate conclusions about stochastic phenomena and experiments and interpret them correctly and in terms of the physical problem and not necessarily using statistical terminology.
• Be aware of the uncertainty (and its size) that is inevitably included in the conclusions concerning stochastic phenomena and experiments.
• Judge and evaluate conclusions based on experimental or sample data.
• Select and apply the appropriate methods of statistical inference required to complete a research paper (within the course content).
• Have the knowledge of the ethical and moral issues related to the collection and use of data and the publication of conclusions drawn from them.

General Skills

• Adapting to new situations.
• Decision-making.
• Teamwork.
• Production of free, creative and inductive thinking.
• Application of knowledge in practice.

Teaching Methods

• In the classroom, face to face.

Use of ICT means

• Basic software (windows, word, power point, excel, r language).
• Support of learning process through the electronic platform / e-class.

Teaching Organization

Students Evaluation

Written Exam with:

• Short Answer Questions,
• Multiple choice questions,
• Solving exercises and/or problems.

Recommended Bibliography

1. Εξάμηνο 3ο ΖΑΧΑΡΟΠΟΥΛΟΥ ΧΡΥΣΟΥΛΑ, “Στατιστική Τόμος Α”, Εκδότης “Σοφία” Ανώνυμη Εκδοτική & Εμπορική Εταιρεία, 2018.
2. Νικήτας Π., “Εισαγωγή στη Στατιστική Ανάλυση Πειραματικών Δεδομένων”, Εκδότης Όλγα Σιμώνη, 2013.
3. Στάμου Γεώργιος, “Οικολογία”, Εκδότης Ζήτη Πελαγία & Σια Ι.Κ.Ε., 2009.
4. TintleL. Nathan,ChanceL. Beth, CobbWGeorge, “Εισαγωγή στις Στατιστικές Έρευνες”, Εκδότης Γ. ΔΑΡΔΑΝΟΣ ΚΑΙ ΣΙΑ Ε.Ε.