CODE 
SOR0220 

TITLE 
Elementary Statistical Theory 

LEVEL 
00  Mod PreTert, Foundation, Proficiency & DegreePlus 

ECTS CREDITS 
2 

DEPARTMENT 
Statistics and Operations Research 

DESCRIPTION 
 Sampling Techniques  Sampling Distributions of Means, Differences of Means, Proportions and Differences of Proportions  Inference through confidence Intervals  Inference through hypothesis testing  Parametric tests using SPSS including the OneSample Ttest, Paired Samples Ttest, Independent Samples Ttest and OneWay ANOVA test  Correlation analysis to assess relationships between continuous variables  Assessing discrepancy between observed and expected frequency using ChiSquare test
Studyunit Aims:
 Familiarize with different sampling techniques (Random, Systematic, Stratified and Cluster sampling).  Derive sampling distributions for sample means, proportions, difference of means and difference of proportions.  Determine sample size and address uncertainty by providing margin of errors.  Carry out statistical inference using confidence intervals and hypothesis testing.  Apply statistical tests (OneSample, Independent Samples, Paired Samples ttests and OneWay ANOVA test) to compare means between population parameters.  Apply statistical test (Pearson correlation test) to assess the relationship between two variables having a metric scale.  Apply statistical test (Chi Squared test) to assess the association between two categorical variables.  Assess discrepancy between observed and expected frequencies.
Learning Outcomes:
1. Knowledge & Understanding:
By the end of the studyunit the student will be able to:  Understand the difference between sample statistics and population parameters.  Familiarize with different sampling distributions of sample means, proportions, difference of means and difference of proportions.  Familiarize with different ways of conducting statistical inference, mainly by computing confidence intervals and conducting hypothesis tests.  Use statistical software (SPSS and EXCEL) to conduct hypothesis tests.
2. Skills:
By the end of the studyunit the student will be able to:  Conduct statistical inference about a population parameter using sample statistics.  Compute confidence interval for population means, proportions, difference of means, difference of proportions, variances and variance ratios.  Use computer software, particularly SPSS and EXCEL, to conduct statistical test including the One Sample ttest, Independent Samples ttest, Paired Samples ttest, Chi Squared test, Pearson Correlation test and the OneWay ANOVA test.
Main Text/s and any supplementary readings:
 Freund, J. E. and Simon, G. A. (1995) Statistics – A First Course, Prentice Hall Inc.  Speigel, M. R. (1979) Schaum’s Outline Series: Theory & Problems of Statistics – McGrawHill.  Sander, D. (1995) Statistics  A First Course – McGrawHill.  Freund, J. E. and Simon, G. A. (1997) Modern Elementary Statistics, Prentice Hall Inc.  Wardlaw, A. C. (1999) Practical Statistics for Experimental Biologists  Second Edition, Wiley.  Campbell, R. C. (1989) Statistics for Biologists – Third Edition, Cambridge University Press.  Newbold, P. (1995) Statistics for Business and Economics – Fourth Edition, Prentice Hall Inc.  Barrow, M. (2001) Statistics for Economics, Accounting and Business Studies, Financial Times Prentice Hall Inc.  Knapp, R. G. (1984) Basic Statistics for Nurses – Second Edition, Delmar.  Finkelstein, M. and Levin, B. (2001) Statistics for Lawyers – Second Edition, Springer.  Ross, Sheldon M. (2005) Introductory Statistics – Second Edition, Academic Press.


RULES/CONDITIONS 
Before TAKING THIS STUDYUNIT YOU MUST TAKE SOR0210 

ADDITIONAL NOTES 
Statistics studyunits for students with limited Mathematics background not exceeding 'O' Level Mathematics. This studyunit is not for students taking Statistics & OR as one of the principal subject area. 

STUDYUNIT TYPE 
Lectures, Tutorials & Computer Lab Sessions 

METHOD OF ASSESSMENT 
Assessment Component/s 
Resit Availability 
Weighting 
Computerbased Examination
(1 Hour and 30 Minutes)

Yes 
100% 


LECTURER/S 


The University makes every effort to ensure that the published Courses Plans, Programmes of Study and StudyUnit information are complete and uptodate at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints.
Units not attracting a sufficient number of registrations may be withdrawn without notice.
It should be noted that all the information in the studyunit description above applies to the academic year 2017/8, if studyunit is available during this academic year, and may be subject to change in subsequent years.

24 October 2017
http://www.um.edu.mt/science/studyunit

