DEPARTMENT OF STATISTICS

      Preamble

The Department of Statistics offers degree programmes in Bachelor of Science (B.Sc.), Postgraduate Diploma, Masters and Doctor of Philosophy degrees in Statistics.

The Department of Statistics was an arm of the then Mathematical Sciences Department established in 1988 at the inception of FUNAAB. In 2005/2006 session, the Department of Statistics evolved to become a unique academic division in the production of highly trained graduates and postgraduates in Statistics.

 

The Department of Statistics was established in 2005 from erstwhile Department of Mathematical Sciences with the aim of providing statistical education in the University.  The Department is involved in the teaching of Statistics in all other Colleges of the University of Agriculture, Abeokuta.

 

9.5.2      Philosophy and Objectives

Statistics is a subject with a broad spectrum of application in Physical and Life Sciences, Engineering, Education and Social Sciences. The programme is intricately designed to give students opportunity to obtain                 broad    knowledge in the theory and application of Statistics. The specific objectives are:

(i)      To train professional Statisticians with required knowledge and experience in problem solving in all sectors of the economy.

(ii)    To train a strong disciplinary core of Statisticians to pursue the study of scientific and technological problems by using statistical techniques and to undertake research in various branches of statistics that are relevant to national planning.

(iii)   To train graduates with wide horizon in statistics that will be relevant in research and academic development.

(iv)  To provide instructions in Statistics to candidates in courses of study in other departments of the University.

(v)    To train graduates that will be job creators through consultancy services in the area of statistical analysis.

(vi)  To train students from related diverse disciplines in the application of statistical methods in solving real life problems in their various areas of specialization.

(vii)To enable graduate students of statistics make good their deficiencies in the understanding of statistical concepts and the application of statistical methods.

(viii)                       To prepare graduate students who are able to attain a certain standard to pursue graduate programmes leading to the degree of M.Sc. in Statistics or in Applied Statistics and Research or in Biometrics.

9.5.3      Departmental Postgraduate Programme

Presently, the Department runs the following Postgraduate Programmes:

Postgraduate Diploma in Statistics

Postgraduate Diploma in Planning Research and Statistics

Postgraduate Diploma in Statistical Quality Control and Management

 

In addition to the programme listed above, the Department runs the following M.Sc. and PhD programmes: 

Master of Science in Statistics

Master of Science in Applied Statistics

Master of Science in Biometry

Doctor of Philosophy in Statistics

Doctor of Philosophy in Applied Statistics

Doctor of Philosophy in Biometry

 

Eligibility, Duration and Condition for Award

 

9.5.4      Admission Requirements and Regulations

Postgraduate Diploma

Postgraduate Diploma in Statistics/Planning Research and Statistics/Statistical Quality Control and Management

The PGD Programmes in Statistics is open to B.Sc. or HND graduates or its equivalent in Mathematics, Statistics, Economics and related fields from recognized Universities and Polytechnics.

Candidates admitted to the programme shall be required to register for a minimum of 24 credit units of course work each semester.

Candidates may be required to take some remedial undergraduate courses. No credit shall be earned.

The programme has a minimum of one calendar year for Full-time students and/ or one and half for Part- time students.

To qualify to proceed to the M.Sc. programme, a candidate must obtain a minimum average grade of 70%/60% for HND/B.Sc. holders in the PGD programme.

 

Masters of Science in Statistics/Applied Statistics and Research/Biometry

Graduates with at least second class lower honours in Statistics with a minimum CGPA of 3.0 is qualify for admission to the M.Sc. in Statistics/ Applied Statistics and Research/Biometry programme provided the minimum entry requirements into B.Sc. Statistics programme are satisfied.  Admission of other science graduates (second class upper minimum) is possible but may be required to audit additional undergraduate courses during the first and second semesters. Such applicants will usually spend extra semesters beyond the normal minimum course duration of two academic sessions. Also a candidate can undergo the Postgraduate Diploma in Statistics with a minimum cumulative weighted average of 60% before proceeding on the Masters in Statistics/Applied Statistics and Research/Biometry programme.

Generally, the programme requires registration and passes in minimum of 30 credits in the first year. The supervisory team shall recommend to the Departmental Postgraduate Board, list of courses to be offered by candidates depending on candidate’s background and special interests and they may be required to audit some undergraduate course(s). Second year is devoted to a minimum of 4 credit units of reading courses and 6 credit units of thesis writing and defense. Candidates who complete the course with an average of 50% or higher overall will be awarded the Masters Degree after a satisfactory defense of their thesis.

 

Ph.D. PROGRAMME

Admission into the Doctoral programmes in Statistics, Applied Statistics and Biometry will require a Master of Science in Statistics, Applied Statistics and Biometry respectively.  Candidates from Institutions that did not obtain their Master by course work and thesis will normally be admitted for M.Sc./PhD in the first instance. Such candidate will be required to take a conversion examination before being upgraded to Ph.D. status. Any prescribed courses must be passed with a minimum of 60%. 

 

9.5.5      Condition for Award

The degree of Master of Science in Statistics or Applied Statistics or Biometry is awarded on the basis of course work and an ungraded research thesis.  A minimum of 50% cumulative weighted average in course work and a successful oral examination is required for the award of M.Sc. Statistics, M.Sc. Applied Statistics and M.Sc. Biometry.  The examination of the M.Sc. dissertation shall follow the same guidelines as for Ph.D. Studies in Federal University of Agriculture, Abeokuta.

 

9.5.6      Courses Outlines

 

A.            Postgraduate Diploma in Statistics

First Semester

Course Code	Course Title	Abbreviation	Unit
Compulsory Courses
STS 701	Probability Theory	PRTHEORY	3
STS 703	Design Analysis of Experiments	DESAMENT	3
STS 705	Econometric Methods	ECONOMET	3
STS 709	Stochastic Processes	STOCPROS	3
STS 711	Time Series Analysis	TIMESANS	3
STS 713	Distribution Theory	DISTHORY	3
	Electives		6
Electives
STS 710	Operations Research	OPERESEA	3
STS 723	Applied Regression Analysis	APREANAL	3
STS 725	Theory of Games	THEORGAM	3
STS 744	Statistical Quality Control	STATQUAT	3

 

Second Semester

Course Code	Course Title	Abbreviation	Unit
Compulsory Courses
STS 702	Statistical Inference	STATINFE	3
STS 704	Sampling Theory and Methods	SAMTMETH	3
STS 708	Multivariate Analysis	MUTINALY	3
STS 712	Statistical Computing	STATCOMP	3
STS 799	Project	PROJECT	6
	Electives		6
Electives
STS 706	Biometric Methods	BIOMETHS	3
STS 722	Demography	DEMOGRAP	3
STS 726	Decision Theory	DECTHORY	3
STS 728	Non-parametric	NONPARAM	3

 

B.            Postgraduate Diploma in Planning, Research and Statistics

First Semester

Course Code	Course Title	Abbreviation	Unit
Compulsory Courses
STS 731	Applied Statistics	APLISTAT	3
	Research Methods		3
STS 703	Design Analysis of Experiments	DESAMENT	3
STS 741	Total Quality Management	TOQUMANG	3
AEM 810	Project Appraisal and Planning	PRAPPLAN	3
STS 799	Project	PROJECT	6
	Electives		3
Electives
STS 705	Econometric Methods	ECONOMET	3

Including selections from other Postgraduate Diploma Programmes

Second Semester

Course Code	Course Title	Abbreviation	Unit
Compulsory Courses
STS 702	Statistical Inference	STATINFE	3
STS 712	Statistical Computing	STATCOMP	3
STS 732	Project Management	PROMANAG	3
STS 734	Official Statistics	OFICSTAT	3
STS 746	Organization Theory & Behavior	ORGTHEBE	3
	Electives		9
Electives
STS 706	Biometric Methods	BIOMETHS	3
STS 708	Multivariate Analysis	MUTINALY	3
STS 710	Operations Research	OPERESEA	3
AEM	Agric. Development and Policy		3

 

C.            Postgraduate Diploma in Quality Management

First Semester

Course Code	Course Title	Abbreviation	Unit
Compulsory Courses
STS 741	Total Quality Management	TOQUMANG	3
STS 745	Reliability	RELIABLE	3
STS 703	Design Analysis of Experiments	DESAMENT	3
	Research Methods		3
STS 799	Project	PROJECT	6
	Electives		6
Electives
STS 705	Econometric Methods	ECONOMET	3
STS 713	Distribution Theory	DISTHORY	3
STS 725	Theory of Games	THEORGAM	3

Including selections from other Postgraduate Diploma Programme

 

Second Semester

Course Code	Course Title	Abbreviation	Unit
Compulsory Courses
STS 702	Statistical Inference	STATINFE	3
STS 710	Operations Research	OPERESEA	3
STS 712	Statistical Computing	STATCOMP	3
STS 726	Decision Theory	DECTHORY	3
STS 742	Standardization Processes	STANDPRO	3
STS 744	Statistical Quality Control	STATQUAT	3
	Electives		6
Electives
STS 708	Multivariate Analysis	MUTINALY	3
STS 728	Non-parametric	NONPARAM	3
STS 746	Organization Theory & Behavior	ORGTHEBE	3

 

D             MASTER DEGREES

OPTION 1:           STATISTICS

First Semester

Course Code	Course Title	Abbreviation	Unit
Compulsory Courses
STS 801	Advanced Probability Theory	ADVPRORY	3
STS 803	Advanced Sampling Techniques	ADSAMTEC	3
STS 805	Advanced Stochastic Processes	ADSTOPRO	3
STS 809	Advanced Multivariate Analysis	ADMULTAN	3
STS 811	Design and Analysis of Experiment	DEANMENT	3
	Electives		3
Electives
STS 807	Categorical Data Analysis	CATDANLY	3
STS 815	Quality Control and Practice	QCPRACTI	3
STS 821	Environmental Statistics	ENVISTAT	3
STS 825	Advanced Demography	ADVDEMOG	3
STS 827	ICT and Research Methodology	ICTREMET	2
STS 829	Advanced Statistical Theory	ADVSTATY	3
STS 831	Operation Research	OPERESEA	3

 

Second Semester

Course Code	Course Title	Abbreviation	Unit
Compulsory Courses
STS 802	Statistical Inference	STATINFE	3
STS 804	Advanced Distribution Theory	ADISTORY	3
STS 806	Time Series Analysis	TISEANAL	3
STS 812	Advanced Non-Parametric Methods	ADNPAMET	3
STS 824	Statistical Computing and Data Analysis	STATCODA	3
STS 832	Advanced Regression Analysis	ADREANAL	3
	Electives		3
Electives
STS 814	Sequential Analysis	SEQANALY	3
STS 816	Econometrics	ECONOMET	3
STS 818	Probability Theory II	PROTHEII	3
STS 820	Statistical Genetics	STATGENE	3
STS 822	Biostatistics	BIOSTATS	3
STS 834	Longitudinal and Survival Analysis	LONSURAN	3
STS 836	Bayesian Inference	BAYINFER	3

 

Third Semester

Course Code	Course Title	Abbreviation	Unit
Compulsory Courses
STS 840	Statistical Readings	STATREAD	4
STS 897	Seminar I	SEMINARI	1
STS 898	Seminar II	SEMINAII	1

 

Fourth Semester

Course Code	Course Title	Abbreviation	Unit
STS 899	Dissertation	DISSERTN	6

 

OPTION 2            APPLIED STATISTICS

First Semester

Course Code	Course Title	Abbreviation	Unit
Compulsory Courses
STS 801	Advanced Probability Theory	ADVPRORY	3
STS 803	Advanced Sampling Techniques	ADSAMTEC	3
STS 805	Advanced Stochastic Processes	ADSTOPRO	3
STS 809	Advanced Multivariate Analysis	ADMULTAN	3
STS 811	Design and Analysis of Experiment	DEANMENT	3
	Electives		3
Electives
STS 807	Categorical Data Analysis	CATDANLY	3
STS 815	Quality Control and Practice	QCPRACTI	3
STS 821	Environmental Statistics	ENVISTAT	3
STS 825	Advanced Demography	ADVDEMOG	3
STS 827	ICT and Research Methodology	ICTREMET	2
STS 829	Advanced Statistical Theory	ADVSTATY	3
STS 831	Operation Research	OPERESEA	3

 

Second Semester

Course Code	Course Title	Abbreviation	Unit
Compulsory Courses
STS 802	Statistical Inference	STATINFE	3
STS 812	Advanced Non-Parametric Methods	ADNPAMET	3
STS 813	Bayesian Inference	BAYEINFE	3
STS 819	Longitudinal and Survival Analysis	LONSURAN	3
STS 820	Statistical Genetics	STATGENE	3
STS 824	Statistical Computing and Data Analysis	STATCODA	3
	Electives		3
Electives
STS 804	Advanced Distribution Theory	ADISTORY	3
STS 806	Time Series Analysis	TISEANAL	3
STS 814	Sequential Analysis	SEQANALY	3
STS 816	Econometrics	ECONOMET	3
STS 818	Probability Theory II	PROTHEII	3
STS 822	Biostatistics	BIOSTATS	3

 

Third Semester

Course Code	Course Title	Abbreviation	Unit
Compulsory Courses
STS 840	Statistical Readings	STATREAD	4
STS 897	Seminar I	SEMINARI	1
STS 898	Seminar II	SEMINAII	1

 

Fourth Semester

Course Code	Course Title	Abbreviation	Unit
STS 899	Dissertation	DISSERTN	6

 

 

OPTION 3            BIOMETRY

First Semester

Course Code	Course Title	Abbreviation	Unit
Compulsory Courses
STS 801	Advanced Probability Theory	ADVPRORY	3
STS 803	Advanced Sampling Techniques	ADSAMTEC	3
STS 805	Advanced Stochastic Processes	ADSTOPRO	3
STS 809	Advanced Multivariate Analysis	ADMULTAN	3
STS 811	Design and Analysis of Experiment	DEANMENT	3
	Electives		3
Electives
STS 807	Categorical Data Analysis	CATDANLY	3
STS 815	Quality Control and Practice	QCPRACTI	3
STS 821	Environmental Statistics	ENVISTAT	3
STS 825	Advanced Demography	ADVDEMOG	3
STS 827	ICT and Research Methodology	ICTREMET	2
STS 829	Advanced Statistical Theory	ADVSTATY	3
STS 831	Operation Research	OPERESEA	3

 

Second Semester

Course Code	Course Title	Abbreviation	Unit
Compulsory Courses
STS 802	Statistical Inference	STATINFE	3
STS 806	Time Series Analysis	TISEANAL	3
STS 812	Advanced Non-Parametric Methods	ADNPAMET	3
STS 819	Longitudinal and Survival Analysis	LONSURAN	3
STS 820	Statistical Genetics	STATGENE	3
STS 824	Statistical Computing and Data Analysis	STATCODA	3
	Electives		3
Electives
STS 804	Advanced Distribution Theory	ADISTORY	3
STS 813	Bayesian Inference	BAYEINFE	3
STS 814	Sequential Analysis	SEQANALY	3
STS 816	Econometrics	ECONOMET	3
STS 818	Probability Theory II	PROTHEII	3
STS 822	Biostatistics	BIOSTATS	3

 

Third Semester

Course Code	Course Title	Abbreviation	Unit
Compulsory Courses
STS 840	Statistical Readings	STATREAD	4
STS 897	Seminar I	SEMINARI	1
STS 898	Seminar II	SEMINAII	1

 

Fourth Semester

Course Code	Course Title	Abbreviation	Unit
STS 899	Dissertation	DISSERTN	6

 

9.5.7      Summary of Course Requirements

Minimum Credit Hours (Compulsory Courses – C)                             39 Units

Other Elective (Minimum)                                                                           6 Units

Thesis                                                                                                                   6 Units

                                                                                                                                ———————–

                                                                                                                                51 Units

 

The tables above should guide choice of courses. Candidates must consult Graduate School or website for Elective Courses on offer for the year. Candidates are encouraged to do as many electives (including audits) as possible.

 

9.5.8      Programme Evaluation

Students performance will be evaluated on a basis of course evaluation as prescribed by the Board of Graduate Studies.

 

9.5.9      Grading System

A             =             70 – 100

B             =             60 – 69

C             =             50 – 59

F              =             Below 50%

 

(NB: Pass mark is C and above.  F is fail)

 

9.5.10    Course Synopsis

 

POST GRADUATE DIPLOMA PROGRAMMES

STS 701 – Probability and Distribution Theory (3 units)

Sample spaces, algebra of sets and events, axiomatic definition of probability. Conditional probability and independence. Bayes theorem. Random variables and their distributions. Moments, cummulant and probability generating functions. Some special distributions: marginal and conditional distributions. Distribution of functions of random variables and some derived distributions. Limit Theorems and limiting distributions. Elememts of stochastic processes. 

 

STS 702 – Methods of Statistical Inference and Decision (3 units)

Point and interval estimation method of estimation – maximum likelihood methods, least square methods. Criteria and properties of estimates, unbiasedness, efficiency etc. hypothesis testing: Neyman Pearson Lemmas, likelihood ratio and sequential tests, power functions. Correlation and regression analysis. Analysis of variance and Multivariate analysis.

 

STS 703 – Design and Analysis of Experiments (3 units)

Analysis of standard designs: Complete and incomplete blocks designs. Latin square designs, nested and other crossed classification designs. Factorial experiment: confounding and fractional replication. Response surface design.

 

STS 705 – Econometric Methods (3 units)

Linear and general economic model and multiple regression of economic situations. Single equation and nonlinear models. Simultaneous equations and economic models. Time series model. Application of models in production, consumption and other functions and models of the national economy.

 

STS 708 – Multivariate Analysis (3 units)

Multivariate normal and related distributions and tests based on them; principal components, discriminant, factor, cluster analysis and other multivariate techniques.

 

STS 710 – Operations Research (3 units)

Operations research problems, models and criteria. The practice and context of Operations Research. Introduction to stock control, scheduling, queuing theory, replacement, critical path analysis, dynamic programming and simulation. Theory of games. Decision theory. Replacement critical path analysis. Dynamic programming. Inventory control. Simulations.

 

STS 731 – Applied Statistics (3 units)

Fundamental statistical concepts: probability and random variables, elementary probability distribution, binomial, Poisson and normal. Regression and correlation analysis, point estimation, confidence intervals for means and variance; statistical tests and hypotheses.

Control charts for within and between batch variability; industrial experimentation; experimental errors, experimental design and analysis – fixed and random effects for both completely randomized and randomized blocks, Latin Squares, factorial and spilt – plot designs. Nonparametric tests.

 

STS 732 – Project Management (3 units)

Principles of organization of project management, control systems and techniques, project monitoring and reporting systems, use and application of Linear programming, PERT, CPM and other scheduling techniques.

 

STS 733 – Research Methods (3 units)

Survey design: basic scientific principles of social research; concepts and hypothesis formulation and testing. Organization of research; construction of questionaire, observation and interview. Data processing including editing, coding, verification, tabulation and analysis of data, organization of report writing. Sampling: Role of sampling in data collection. Probability sampling. Simple random sampling and its properties; Stratified, Multi-stage, Systematic sampling, Cluster, etc. Examples of Demographic sample surveys in Africa. Measure of sampling errors.

 

STS 734 – Official Statistical (3 units)

Detailed study of sources and nature of official statistics like economic, social, population, education, etc. Problems in the collection and analysis of these statistics. Statistical organizations.

 

STS 741- Total Quality Management (3 units)

The Japanese Quality Movement. Quality Control Practice in Japan. American and British recent Quality movements. Management-By- Objectives – its shortcomings including problems of performance appraisal. The Ishkawa tools. Quality in Administration. Complexity and real work measurements. Importance of quality management to company survival.

Cost of Quality, Profit from Quality Management, The Ishikawa seven tools. Quality circle activities.

 

STS 742 – Standardization Processes (3 units)

Company standardization. Purpose and effects of company standardization. Fundamental concepts of company standardization. Methods of company standardization/ methods of arranging company standards.

Main company standards and their management. Promotion of quality control and rules thereof. Standard organizations. Relevance of standard organizations to national development. Procedures for setting standards, company standards, national standards and international standards. Certification. American standards, British standards, Indian standards. Case studies.

STS 744 – Statistical Quality Control (3 units)

Objectives of Statistical Quality, Control specifications and tolerance limits, control charts. Acceptance Sampling. Use of various military standards. Dodge Rooming systems for lot-by-lot Acceptance Sampling, AQL/AOQL criteria for Acceptance Sampling. One Stage, Two Stage, Multi Stage sampling. Inspections Plan. Case studies.

 

STS 745 – Reliability (3 units)

Definitions and measurement of reliability. Customers requirements. Reliability and cost. Uses of reliability in Quality control jobs. Establishing the product reliability requirement. Reliability programmes failure mode, failure effects and critical analysis. Physics of failure. Maintainability and evaluation of reliability plans. Reliability growth.

 

STS 746 – Organizational Theory and Behaviour (3 units)

A survey of the major theoretical approaches to the study of organization. Critical review of the contribution of the major organization/administrative theories. An examination of the analysis of organizations as systems with emphasis on the assessment of their operational effectiveness and efficiency. A discussion of the relevance of organization/administrative theories to public and private sectors, business administration with special reference to Nigeria and African experience.

 

STS 799 – Projects (6 units)

 

MASTER OF STATISTICS PROGRAMMES

Three-credit course units imply 3 hours of lectures or directed studies or 2 hours of lectures and 3 hours of tutorial/practical assignments per week.

STS 801  Advanced Probability Theory    (3 Units)

Random variables.  Expectation.  Independence.  Convergence concepts.  Law of large numbers (weak and strong law of large numbers).  Characteristic functions (cummulants).  Central limit theorem.  Conditioning (Markov chain,  Martingales). 

Probability space and probability measures.  Distribution functions of random variables and random vectors.  Independence and conditioning; inverse formula.

 

STS 802  Statistical Inference (3 Units)

Formation of the principles of statistical decisions as an aspect of the theory of games.  Bayes.  Minimax and admissible decision rules.  The main theorems of statistical decision theory invariants and equivalent decision rules.  Methods of solving for minimax, admissible minimax and invariant and equivalent roles.  Particular applications to location parameter problems.

Decision theoretic approach to the theory of hypothesis testing.  Best tests.  Neyman-Pearson and the generalized Neyman-Pearson Lemma.  Uniformly Most Powerful Test, unbiased, invariant and locally most powerful tests, invariant and minimax test.  Maximum likelihood estimation and asymptotic theory.

 

STS  803 Advanced Sampling Techniques (3 Units)

Concept in sample survey. Techniques and problems in frame construction and maintenance. Basic sampling designs- simple random sampling, stratified random sampling, systematic sampling, sampling with probability proportional to size with and without replacement. Cluster sampling design- simple cluster sampling, multi-stage cluster sampling, double sampling or multi phase sampling. Complete samples. Self weigting designs. Sampling on several occasions or successive sampling, efects and control of non sampling errors. Application to specialized surveys- National Integerated Survey of Households (NISH) of the NBS.

 

STS 804 Advanced Distribution Theory   (3 Units)

Univariate and bivariate cases including compound, generalized and modified distributions.   Negative Binomial, Multinomial.  Multivariate Hypergeometric.  Multivariate logarithmic series.  Multivariate Neyman,  Type A,  Dirichlet (B-) Multivariate Neyman, Type A, Dirichlet (B-) Compound Negative Multinomial,  Weibull and non-central distributions, some continuous distributions, order statistics, exponential family of distributions. Unbiased estimates.  Asymptotic properties of sampling distribution. Fisher’s lemma on degrees of freedom. Exact sampling distributions. The general variance. Regression coefficients. Partial and multiple correction coefficient. Half Normal, Non central Distribution, Lognormal, etc.

 

STS 805 Advanced Stochastic Processes  (3 Units)

Random walk.  Gambling system and stopping time and rules.  Markov processes and chain.  Renewal theorem and local time stochastic processes and Brownian motion.  Processes with independent increment.  Martingales.  Stochastic order relations.  Queueing processes and applications. General arrival and general services queues. Heavy traffic approximation. Approximation for G/Gl queues, delay cycle, generalized busy periods, waiting time distribution, computer time sharing and multi-access systems. Computer communication networks. Matrix geometric techniques.

 

STS 806 Time Series Analysis     (3 Units)

Theory of stochastic models and their forecasting.  Model building, identification, estimation and diagnostic checking.  Analysis of stationary and non-stationary data.  Co-integration and error correction techniques.

Discrete time series trends.  The classical model-ARMA, RNA and ARIMA.  Stationery processes.  Harmonic analysis and estimation linear models .  Estimation of continuous spectra.

 

STS 809 Advanced Multivariate Analysis (3 Units)

Multivariate analysis of variance.  Multivariate normal distribution and its properties.  Wishart and Hotellings distributions.  Application of estimation of parameters and tests on means and convamtrix.  Multiple regression analysis.  Principal Component,  Discriminant, cluster and factor analyses.  Canonical Correlation and Multidimensional Scaling. Central distributions of roots of random matrices (i) Wishart one sample and two samples cases (ii) MANOVA and (iii) Cannonical correlation Problems, roots as maximal invariants. Non-central distribution of roots. Principal component and factor analysis problems. Categorized data.

 

STS 811 Design and Analysis of Experiments       (3 Units)

Basic ideas and assumptions randomization, Design of factorial experiments.  Randomized blocks and Latin squares.  Balanced incomplete block designs.  Confounding and fractional replication in 2m theory of optimum design.

Random effects, components of variance mixed model – maximum likelihood, restricted maximum likelihood, BLUE and BLUP.  Incomplete block structure BIBD Alpha design, Construction of optimal and near-optimal designs; Factorial and 2ⁿ factorial structure, confounding and fractional replication.  Concept of design resolution, surface methodology and model building applications, Model building exercises.

 

STS 812 Advanced Non-parametric Methods (3 Units)

Statistical procedures based on ranks, order statistics, signs, permutation and runs. Testing for randomness, symmetry and independence. Invariance and sufficiency reductions. Treatment of ties, Asymptotics, U-statistics, Chernoff-Savage theorem. Efficient of rank test by Pitman’s and Bahadur’s.

 

STS 813 Bayesian Inference (3 Units)

Sampling theory and its critique, subjective probability, likelihood principles, Bayes theorem, Bayesian analysis of Normal theory inference problems, the Behrens-Fisher problem, assessment of model assumptions, robustness of inference, analysis of variance, estimation of variance components, empirical Bayes, some aspects of multivariate problems, sequential nature of Bayesian inference, prior and posterior distributions of parameters in binomial, poisson, exponential and normal populations, comparison of two normal distributions, predictive distributions, decision theory, utility, risk aversion, extensive form of analysis, two-action problems, point estimation, best population problems, economics of sampling.

 

STS 814 Sequential Analysis (3 Units)

The Ward sequential probability ratio tests and various generalizations including tests of composite hypothesis. Non-parametric sequential estimation and confidence intervals. Bayes sequential procedures. Stochastic approximations. Optimal stopping rules.

 

STS 815 Quality control and practice (3 Units)

Analysis and control of variations in a production process OC of a control chart. Control charts for attributes and variables. Cumulative sum control charts. Other control charts. Methods of controlling several related characteristics, process capability analysis. Design of control charts. Specification and tolerance.

 

STS 816 Econometrics (3 Units)

OLS, Gauss-Markov theorem, MLE. Specification and misspecification test. Predictive and non-predictive tests, Tests of hypothesis for linear model. The likelihood ration, wald and language multiplier tests; Multi-colinearity. Specification bias. GLS. Dummy variable and seasonal variations. Inferences based on asymptotic distribution theory.

 

STS 819 Longitudinal and Survival Analysis (3 Units)

Repeated measures design and analysis. H-F and G-G adjustments of F statistic. Profile, polynomial, mean and other transformations; Applications in ecology and health sciences. Introductory survival analysis and applications in veterinary/medical research. Practical applications with statistical software.

 

STS 820 Statistical Genetics (3 Units)

Review of selected topics in statistical genetics; Ethics in the use of Statistics in Genetics, Forensics, and Pharmacogenetics. In relation to plants and animals. Bioassay techniques, designs and analysis of biological investigations.

 

STS 821 Environmental Statistics (2 Units)

Scope, nature and sources of environmental statistics. Assessment of environmental quality and measurement of air and water pollution, sampling methods in natural and applied sciences. Environmental Impact Assessment (EIA). Requirement for environmental reporting system. Characteristics and uses of the United Nations framework for the development of environmental statistics. Capacity development for environmental reporting system. Environmental Standards.

 

STS 822 Biostatistics  (2 Units)

Advanced regression, bio-assays, probit and logit models, growth curves, logistic regression, potency/efficacy determination. Theory of clinical trials, Ethical issues in medical data collection.

 

STS 823 Categorical Data Analysis (3 Units)

Probability mass function for 2×2 tables measures of association for 2×2 tables and general cxc tables. Probability mass functions for rxc tables. Goodness of fit tests. Square tables and their applications structural models for two and higher dimensions; Log-linear models and estimate of parameters. Logistic regression and bio-assays.

 

STS 824 Statistical Computing and Data Analysis (4 Units)

Students study advanced statistical packages and use open source software to analyze various survey and experimental data sets.

 

STS 825 Advanced Demography (3 Units)

Evaluation and adjustment of demographic data; sources of data; general principle of evaluation. In-depth study of statistical techniques used in the study of population growth and movement. Models of population growth and movement. Models of population structure and processes.

 

STS 827 ICT and Research Methodology (2 Units)

Survey design: basic scientific principles of social research; concepts and hypothesis formulation and testing. Organization of research; construction of questionnaire, observation and interview. Data processing including; editing, coding, verification, tabulation and analysis of data, organization of report writing. Sampling: Role of sampling in data collection. Probability sampling. Simple random sampling and its properties; Stratified, Multi-stage, Systematic sampling, Cluster, etc. Examples of Demographic sample surveys in Africa. Measure of sampling errors.

 

STS 829 Advance Statistical Theory (3 Units)

Limiting theorems. Convergence of sequence of variables and some probability functions limiting distribution. Generating functions and inversion theorems. Special parametric univariate and multivariate distributions and large sample theory. Further theory of statistical inference.

 

STS 831  Operations Research (3 units)

Operations research problems, models and criteria. The practice and context of Operations Research. Introduction to stock control, scheduling, queuing theory, replacement, critical path analysis, dynamic programming and simulation. Theory of games. Decision theory. Replacement critical path analysis. Dynamic programming. Inventory control. Simulations

 

STS 840 –              Statistical Readings (4 Units)

Students undertake independent and internet-assisted study on assigned topical or historical issue in statistics. A written bounded report is produced for examination.

STS 899 Research Project (6 Units)

Research project on a topic approved by a supervisory committee.

 

9.5.11    Staff List

Academic staff

S/N	NAME	QUALIFICATION	RANK	AREA OF SPECIALIZATION
1	Dr. S. O. N. Agwuegbo	B.Sc. (UNN), M.Sc. (Lagos), PhD. (Abeokuta)	Senior Lecturer & Ag. Head of Department	Stochastic Processes & Time Series
2	*Prof. O. E. Asiribo	B.Sc. (Zaria), M.Sc.(Reading), PhD. (Wisconsin)	Professor	Statistical Modeling & Experimental Design
3	**Prof. G. N. Amahia	PDS, B.Sc., M.Sc., PhD. (Ibadan)	professor	Sample Survey & Statistical Inference
4	**Dr. K. S. Adekeye	B.Sc., M.Sc. (Ilorin), Certificate in Computer (Ilorin), PhD. (Dortnubd)	Reader	Statistical Quality Control & Industrial Statistics
5	**Dr. D. A. Agunbiade	B.Sc., M.Sc., MinfSc., PhD. (Ibadan)	Reader	Econometrics & Statistical Inference
6	+*Dr. I.A. Osinuga	B.Sc. (OOU), M.Sc. (Ibadan, PhD (Ilorin)	Senior Lecturer	Operation Research and Statistical Computing
7	Dr. F. S. Apantaku (Mrs.)	B.Sc., M.Sc. (Ibadan), PhD. (Abeokuta)	Lecturer I	Sample Survey & Statistical Inference
8	Dr. G. A. Dawodu	B.Sc., M.Sc. (Lagos), PGDC, M.Sc., PhD. (Abeokuta)	Lecturer I	Statistical Computing and Modeling
9	Dr. O. M. Olayiwola	ND (Kwara), HND (Ibadan), PGD (Ibadan), B.Sc. (Ilorin), M.Sc. (Ibadan), PhD. (Ibadan)	Lecturer I	Sample Survey & Statistical Inference

*             On Sabbatical Leave

+*           Adjunct Lecturer

**           Associate Lecturer