# Economia e Management | STATISTICS

## Economia e Management STATISTICS

 0212700010 DEPARTMENT OF MANAGEMENT & INNOVATION SYSTEMS EQF6 BUSINESS MANAGEMENT 2021/2022

 OBBLIGATORIO YEAR OF COURSE 2 YEAR OF DIDACTIC SYSTEM 2014 AUTUMN SEMESTER
SSD CFU HOURS ACTIVITY TYPE OF ACTIVITY SECS-S/01 10 60 LESSONS COMPULSORY SUBJECTS, CHARACTERISTIC OF THE CLASS
 FRANCESCO DOTTO T
Objectives
KNOWLEDGE AND UNDERSTANDING:
-ACQUIRE THE MAIN TOOLS OF DESCRIPTIVE STATISTICS AND STATISTICAL INFERENCE
-ACQUIRE MAIN TOOLS FOR BUSINESS ORIENTED DECISION MAKING
-ACQUIRE KNOWLEDGE OF STATISTICAL MODELING WITH APPLICATIONS TO REAL DATASETS

APPLYING KNOWLEDGE AND UNDERSTANDING:
STUDENTS WILL BE EXPOSED TO CASE STUDIES TO UNDERSTAND THE ADVANTAGES GAINED FROM APPLYING STATISTICAL ANALYSIS TO QUANTITATIVE PROBLEMS ARISING FROM BUSINESS MANAGEMENT.
Prerequisites
MATHEMATICS FOR ECONOMICS (MANDATORY)
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: BINOMIAL, POISSON,
HYPERGEOMETRIC. CONTINUOUS PROBABILITY DISTRIBUTIONS: NORMAL, T-STUDENT,
EXPONENTIAL.

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. CATEGORICAL DATA:
COMPARING TWO PROPORTIONS. QUANTITATIVE DATA: COMPARING TWO MEANS. COMPARING
MEANS WITH DEPENDENT SAMPLES.

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. STUDENTS WHO DECIDE NOT TO ATTEND CLASSES ARE ADVISED TO FOLLOW THE SYLLABUS AND THE SCHEDULED TOPICS TO BE IN SYNC WITH THE MATERIAL COVERED IN CLASS.
Verification of learning
THE EVALUATION IS BASED ON A WRITTEN TEST (MANDATORY) AND AN ORAL EXAMINATION (FACULTATIVE). THE WRITTEN TEST (ONE HOUR AND A HALF) IS PREPARATORY FOR THE ORAL EXAMINATION. THE TRACK OF THE WRITTEN TEST INCLUDES SEVERAL QUESTIONS WORTH 1-8 POINTS (EXPRESSLY INDICATED ON THE TRACK), FOR A TOTAL SCORE OF 30. IT IS ORGANIZED IN TWO PARTS: THEORY (OPEN QUESTIONS, 8 POINTS IN TOTAL) AND PRACTICAL NUMERICAL EXERCISES (22 POINTS IN TOTAL). THE WRITTEN TEST IS PASSED WHEN THE STUDENT ACHIEVES AT LEAST 18 POINTS (WITH A MINIMUM OF 4 POINTS FROM THE FIRST PART AND A MINIMUM OF 11 POINTS FROM THE SECOND PART). THE ORAL EXAMINATION (FACULTATIVE) IS AN IN-DEPTH DISCUSSION ABOUT THE TOPICS OF THE WRITTEN TEST. THE EVALUATION OF THE ORAL TEST RANGES FROM A MINIMUM OF -4 POINTS (NEGATIVE SCORE) UP TO A MAXIMUM OF 4 POINTS. THE FINAL VOTE OF THE EXAM IS CALCULATED AS THE SUM OF THE SCORES FROM THE WRITTEN TEST AND THE ORAL TEST (IF ANY). THE EXAM IS PASSED IF THE FINAL VOTE REACHES THE MINIMUM OF 18.
Texts
ALTERNATIVELY:

P. NEWBOLD, W.L. CARLSON, B. THORNE - STATISTICS FOR BUSINESS AND ECONOMICS - PPEARSON EDUCATION (2013, 8TH ED)

D. FREEDMAN, R. PISANI, R. PURVES - STATISTICS - W. W. NORTON & COMPANY (2007, 6TH EDITION)