Statistics

Maria Lucia PARRELLA Statistics

0212100007
DEPARTMENT OF ECONOMICS AND STATISTICS
EQF6
BUSINESS ADMINISTRATION
2023/2024



OBBLIGATORIO
YEAR OF COURSE 2
YEAR OF DIDACTIC SYSTEM 2016
AUTUMN SEMESTER
CFUHOURSACTIVITY
1060LESSONS


Objectives
KNOWLEDGE AND UNDERSTANDING.
STUDENTS WILL GAIN KNOWLEDGE OF:
- DESCRIPTIVE STATISTICS AND THE MAIN TOPICS OF STATISTICAL INFERENCE
- STATISTICAL ANALYSIS OF ECONOMIC DATA AND DECISION MAKING UNDER UNCERTAINTY IN MANAGEMENT PROCESSES
- STATISTICAL MODELS FOR DATA ANALYSIS AND THEIR APPLICATIONS IN REAL CASES


APPLYING KNOWLEDGE AND UNDERSTANDING.
THE COURSE AIMS AT HELPING THE STUDENTS TO DEVELOP THE ABILITY TO USE STATISTICS METHODS AND MODELS ON TOPICS MAINLY RELATED WITH MANAGEMENT AND FINANCE.
THEORETICAL RESULTS AND EMPIRICAL EVIDENCES WILL BE GIVEN TO ALLOW A PROPER PROCEDURE IN THE CHOICE AND THE INTERPRETATION OF THE RESULTS IN EMPIRICAL APPLICATIONS ON REAL DATA SET.
Prerequisites
MATHEMATICS FOR ECONOMICS
Contents
PART I - INTRODUCTION TO STATISTICS AND ESPLORATORY DATA ANALYSIS (16 HOURS):
INTRODUCTION TO STATISTICAL METHODOLOGY. DESCRIPTIVE STATISTICS AND INFERENTIAL
STATISTICS. VARIABLES AND THEIR MEASUREMENT. RANDOMIZATION. SAMPLING VARIABILITY
AND POTENTIAL BIAS. OTHER PROBABILITY SAMPLING METHODS. DESCRIBING DATA WITH
TABLES AND GRAPHS. DESCRIBING THE CENTER OF THE DATA. DESCRIBING VARIABILITY OF
THE DATA. LOCATION MEASURES. BIVARIATE DESCRIPTIVE STATISTICS. SAMPLE STATISTICS
AND POPULATION PARAMETERS.

PART II - CALCULUS OF PROBABILITY (20 HOURS):
INTRODUCTION TO PROBABILITY. PROBABILITY DISTRIBUTIONS FOR DISCRETE AND
CONTINUOUS VARIABLES. DISCRETE PROBABILITY DISTRIBUTIONS: UNIFORM, BINOMIAL, POISSON. CONTINUOUS PROBABILITY DISTRIBUTIONS: UNIFORM, NORMAL, T-STUDENT, CHI-SQUARE. LIMIT THEOREMS.

PART III - STATISTICAL INFERENCE (18 HOURS):
DISTRIBUTIONS OF SAMPLE STATISTICS. POINT AND INTERVAL ESTIMATION. CONFIDENCE
INTERVAL FOR A PROPORTION. CONFIDENCE INTERVAL FOR A MEAN. CONFIDENCE INTERVAL
ESTIMATION FOR THE VARIANCE. CHOICE OF SAMPLE SIZE. CONCEPTS OF HYPOTHESIS
TESTING. DECISIONS AND TYPES OF ERRORS IN TESTS. THE FIVE PARTS OF A
SIGNIFICANCE TEST. SIGNIFICANCE TEST FOR A MEAN. SIGNIFICANCE TEST FOR A
PROPORTION. TESTS OF THE VARIANCE OF A NORMAL DISTRIBUTION. LIMITATIONS OF
SIGNIFICANCE TESTS. TWO POPULATION HYPOTHESIS TESTS.

PART IV: CORRELATION AND LINEAR MODELS (6 HOURS):
DEPENDENT DATA. SCATTER PLOT. COVARIANCE AND CORRELATION. LINEAR RELATIONSHIPS.
LEAST SQUARES PREDICTION EQUATION. THE LINEAR REGRESSION MODEL. MEASURING THE
LINEAR ASSOCIATION: THE CORRELATION. INFERENCES FOR THE SLOPE AND CORRELATION.
MODEL ASSUMPTIONS AND VIOLATIONS.
Teaching Methods
THE COURSE CONSISTS OF 60 HOURS OF LECTURES. EACH LESSON IS STRUCTURED IN A THEORETICAL PART AND A PART OF APPLICATIONS IN CASE STUDIES. GIVEN THE CHARACTERISTICS OF THE DISCIPLINE, THE ATTENDANCE IS STRONGLY RECOMMENDED, ALTHOUGH NOT MANDATORY.
Verification of learning
THE EXAMINATION CONSISTS OF TWO COMPULSORY PARTS, A WRITTEN TEST AND AN ORAL INTERVIEW. EACH PART IS ASSIGNED A MARK AND THE AVERAGE OF THESE MARKS IS CONVERTED INTO THIRTIETHS TO GIVE THE FINAL GRADE. AN EXAM IS DEEMED TO BE PASSED SUCCESSFULLY IF THE FINAL GRADE IS EQUAL TO OR HIGHER THAN 18/30. IN THE EVENT OF A FULL GRADE (30/30), THE EXAMINATION BOARD MAY GRANT HONOURS (LODE). THE ORAL INTERVIEW CAN ONLY BE TAKEN ONCE THE STUDENT HAS PASSED THE WRITTEN EXAM WITH A MINIMUM MARK OF 18/30.

THE WRITTEN TEST TAKES ABOUT 75 MINUTES AND AIMS AT ASSESSING THE ABILITY TO APPLY THE ACQUIRED KNOWLEDGE AND THE ANALYTICAL INSTRUMENTS. THE TEST IS STRUCTURED IN THREE PARTS WITH NUMERICAL EXERCISES ON: DESCRIPTIVE STATISTICS, PROBABILITY AND RANDOM VARIABLES AND STATISTICAL INFERENCE.

THE ORAL INTERVIEW TAKES ABOUT 20 MINUTES WITH A DISCUSSION ON THE THEORETICAL AND METHODOLOGICAL TOPICS PRESENTED DURING THE COURSE TO ASSESS THE LEVEL OF KNOWLEDGE AND THE ABILITY AND THE QUALITY OF ORAL EXPOSITION.
Texts
P. NEWBOLD, W.L. CARLSON, B. THORNE - STATISTICS FOR BUSINESS AND ECONOMICS - PEARSON
More Information
FURTHER MATERIALS WILL BE AVAILABLE ON THE COURSE WEBPAGE.
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