Statistics (2010/2011)



Course code
4S00121
Credits
9
Coordinator
Marco Minozzo
Other available courses
Other available courses
    Academic sector
    SECS-S/01 - STATISTICS
    Language of instruction
    Italian
    Teaching is organised as follows:
    Activity Credits Period Academic staff Timetable
    lezione 7 First semester Marco Minozzo
    esercitazione 2 First semester Annamaria Guolo

    Learning outcomes

    The course provides to students in economic and business sciences an introduction to probability and to descriptive and inferential statistics.
    Prerequisite to the course is the mastering of a few basic mathematical concepts such as limit, derivative and integration at the level of an undergraduate first year introductory course in calculus.

    Syllabus

    Descriptive Statistics: data collection and classification; data types; frequency distributions; histograms and charts; measures of central tendency; arithmetic mean, geometric mean and harmonic mean; median; quartiles and percentiles; fixed and varying base indices; Laspayres and Paasche indices; variability and measures of dispersion; variance and standard deviation; coefficient of variation; moments; Pearson’s and Fisher’s indices of skewness and kurtosis; multivariate distributions; scatterplots; covariance; variance of the sum of more variables; method of least squares; least-squares regression line; Pearson’s coefficient of linear correlation r; Cauchy-Schwarz inequality; R-square coefficiente; deviance residual and deviance explained; multivariate frequency distributions; conditional distributions; measures of association; chi-squared index of dependence; index of association C; Simpson’s paradox.

    Probability: events, probability spaces and event trees; combinatorics; conditional probability; independence; Bayes theorem; discrete and continuous random variables; distribution function; expectation and variance; Markov and Tchebycheff inequalities; discrete uniform distribution; Bernoulli distribution; binomial distribution; Poisson distribution; geometric distribution; continuous uniform distribution; normal distribution; exponential distribution; multivariate discrete random variables; joint probability distribution; marginal and conditional probability distributions; independence; covariance; correlation coefficient; linear combinations of random variables; average of random variables; sum of normal random variables; weak law of large numbers; Bernoulli’s law of large numbers for relative frequencies; central limit theorem.
    Inferential Statistics: sample statistics and sampling distributions; chi-square distribution; Student-t distribution; Snedecors-F distribution; point estimates and estimators; unbiasedness; efficiency; consistency; estimate of the mean, of a proportion and of a variance; confidence intervals for a mean for a proportion (large samples) and for a variance; hypothesis testing; one and two tails tests for a mean, for a proportion (large samples) and for a variance; hypothesis testing for differences in two means, two proportions (large samples) and two variances.

    The course consists of a series of lectures (56 hours) and of twelve exercise classes (24 hours).
    All classes are essential to a proper understanding of the topics of the course.
    The working language is Italian.

    Assessment methods and criteria

    For the official examination both written and oral sessions are mandatory.
    The course is considered completed if the candidate has done the written tests and passed the oral exam.
    Students that has received at least 15 out of 30 in both the written exams are allowed to attend the oral exam.

    Reference books
    Activity Author Title Publisher Year ISBN Note
    lezione M. R. Middleton Analisi statistica con Excel Apogeo, Milano 2004
    lezione F. P. Borazzo, P. Perchinunno Analisi statistiche con Excel Pearson, Education 2007
    lezione S. Bernstein, R. Bernstein Calcolo delle Probabilita', Collana Schaum's, numero 110. McGraw-Hill, Milano 2003
    lezione D. OLIVIERI Fondamenti di statistica (Edizione 3) Cedam, Padova 2007
    lezione D. OLIVIERI Istituzioni di statistica CEDAM 2005
    lezione E. Battistini Probabilità e statistica: un approccio interattivo con Excel McGraw-Hill, Milano 2004
    lezione D. Piccolo Statistica Il Mulino 2000 8815075968
    lezione S. Bernstein, R. Bernstein Statistica descrittiva, Collana Schaum's, numero 109 McGraw-Hill, Milano 2003
    lezione S. Bernstein, R. Bernstein Statistica inferenziale, Collana Schaum's, numero 111. McGraw-Hill, Milano 2003
    lezione D. Piccolo Statistica per le decisioni Il Mulino 2004 8815097708
    lezione G. Cicchitelli Statistica: principi e metodi (Edizione 2) Pearson Italia, Milano 2012
    lezione D. OLIVIERI Temi svolti di statistica (2001-2007) Cedam, Padova 2008
    Teaching aids
    Title Format (Language, Size, Publication date)
    01) Informazioni sul corso  pdfpdf (it, 55 KB, 05/11/10)

    Statistics about transparency requirements (Attuazione Art. 2 del D.M. 31/10/2007, n. 544)

    Statistics
    Outcomes Exams Outcomes Percentages Average Standard Deviation
    Positive 52.57% 24 3
    Rejected 14.43%
    Absent 18.55%
    Ritirati 14.43%
    Canceled --
    Distribuzione degli esiti positivi
    18 19 20 21 22 23 24 25 26 27 28 29 30 30 e Lode
    3.9% 3.9% 3.9% 7.8% 9.8% 9.8% 9.8% 11.7% 15.6% 7.8% 5.8% 0.0% 9.8% 0.0%

    Data from AA 2010/2011 based on 97 students. I valori in percentuale sono arrotondati al numero intero più vicino.