# Statistical Inference

 Title ΣΤΑΤΙΣΤΙΚΗ ΣΥΜΠΕΡΑΣΜΑΤΟΛΟΓΙΑ / Statistical Inference Code 0569Α Faculty Sciences School Mathematics Cycle / Level 1st / Undergraduate Teaching Period Spring Common No Status Active Course ID 600019649

### Programme of Study: UPS of School of Mathematics (2014-today)

Registered students: 25
OrientationAttendance TypeSemesterYearECTS
CoreElective Courses belonging to the selected specializationSpring-5.5

 Academic Year 2020 – 2021 Class Period Spring Instructors from Other Categories Stavros Chatzopoulos 39hrs Theodora Vlachou 13hrs Weekly Hours 4 Class ID 600166726
SectionInstructors
1. ΕΡΓΑΣΤΗΡΙΟTheodora Vlachou
2. ΤΜΗΜΑ ΑStavros Chatzopoulos
Course Type 2016-2020
• Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
• Face to face
Digital Course Content
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
• Greek (Instruction, Examination)
Prerequisites
Required Courses
• 0502 Probability Theory I
• 0505 Probability Theory II
• 0534 Mathematical Statistics
General Prerequisites
Probability Theory I and II, Statistics, Mathematical Statistics
Learning Outcomes
Upon successful completion of the course students will: 1. be familiar with the theoretical background of case tests; 2. be able to apply Neymann-Pearson's fundamental lemma to construct hypothesis testing; 3. be able for constructing Uniformly Strong Hypothesis Tests; 4. be familiar with the monotone likelihood ratio property and the generalized likelihood ratio; 5. become familiar with the relationship between confidence intervals and hypothesis tests and with the theoretical background of the hypothesis tests in the general linear model and the analysis of variance.
General Competences
• Apply knowledge in practice
• Make decisions
• Work autonomously
• Work in teams
• Generate new research ideas
• Advance free, creative and causative thinking
Course Content (Syllabus)
Introduction to testing hypothesis - Selecting the test procedure - Testing simple hypothesis - Neyman-Pearson’s fundamental lemma - Uniformly most powerful tests - Tests for the parameters of one or two normal populations - Likelihood ratio tests. Tests for the parameters of the general linear model.
Keywords
hypothesis, tests, Neyman-Pearson’s lemma, Likelihood ratio tests
Educational Material Types
• Book
• e-book
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Communication with Students
Course Organization
Lectures1324.4
Tutorial150.5
Exams30.1
Total1505
Student Assessment
Description
Students are assessed either by two exculpatory written midterms examinations or by a written examination at the end of the semester.
Student Assessment methods
• Written Assignment (Formative, Summative)
• Written Exam with Problem Solving (Formative)
• midterms
Bibliography
Course Bibliography (Eudoxus)
Δαμιανού, Χ. & Κούτρας Μ. (1998). Εισαγωγή στη Στατιστική ΙΙ. Εκδόσεις Συμμετρία, Αθήνα. [45264] Κολυβά-Μαχαίρα, Φ. (1985). Μαθηματική Στατιστική, Τόμος Ι, Εκτιμητική. Εκδόσεις Ζήτη, Θεσσαλονίκη. [11098] Κολυβά-Μαχαίρα, Φ. & Χατζόπουλος Στ. Α. (2016). Μαθηματική Στατιστική, Έλεγχοι Υποθέσεων. [ηλεκτρ. βιβλ.] Αθήνα: Σύνδεσμος Ελληνικών Ακαδημαϊκών Βιβλιοθηκών. Διαθέσιμο στο: http://hdl.handle.net/11419/1899320117. [320117] Παπαϊωάννου, Τ. & Φερεντίνος, Κ. (2002). Μαθηματική Στατιστική, 2η Έκδοση. Εκδόσεις Σταμούλη, Αθήνα. [22888]