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LIST OF
COURSES FOR THE AWARD OF B.TECH
STATISTICS
The courses to be offered leading to the award of B. Tech. Statistics are as follows:
100 LEVEL UNIVERSITY COURSES
HARMATTAN SEMESTER
Course Code
Course Title
L
T
P
Units
BIO 101
General Biology I
2
1
0
3
BIO 103
Experimental Biology I
0
0
1
1
CHM 101
General Chemistry I
3
1
0
4
CHM 191
Experimental Chemistry I
0
0
1
1
PHY 101
General Physics I
3
1
0
4
PHY 103
Experimental Physics I
0
0
1
1
MTH 101
Elementary Mathematics I
4
1
0
5
GNS 101
Use of English I
2
0
0
2
FAA 101
Fundamental of Basic Drawing
2
0
0
2
LIB 101
Use of Library
0
0
0
0
TOTAL
16
4
3
23
Rain SEMESTER
Course Code
Course Title
L
T
P
Units
BIO 102
General Biology II
2
1
0
3
BIO 104
Experimental Biology II
0
0
1
1
CHM 102
General Chemistry II
3
1
0
4
CHM 192
Experimental Chemistry II
0
0
1
1
PHY 102
General Physics II
3
1
0
4
PHY 104
Experimental Physics II
0
0
1
1
MTH 102
Elementary Mathematics II
4
1
0
5
GNS 102
Use of English II
2
0
0
2
GNS 110
History of Settlements
2
0
0
2
CSE 100
Introduction to Computer
1
0
0
0
Total
17
4
3
24
200 LEVEL harmattan SEMESTER courses
Course Code
Course Title
L
T
P
Units
Remark
STA 201
Probability I
3
1
0
4
C
STA 203
Inference I
4
0
0
4
C
STA 205
Laboratory for Inference I
0
0
2
2
C
STA 211
Descriptive Statistics
2
1
1
4
C
MTH 201
Mathematical Methods I
2
1
0
3
C
MTH 203
Linear Algebra I
2
0
0
2
C
MTH 207
Real Analysis I
2
1
0
3
C
CSE 201
Basic Computer Programming
2
0
0
2
C
TOTAL
16
5
3
24
200 LEVEL rain SEMESTER courses
Course Code
Course Title
L
T
P
Units
Remark
STA 204
Inference II
4
0
0
4
C
STA 206
Laboratory for Inference II
0
0
2
2
C
STA 208
Probability II
3
1
0
4
C
STA 212
History of Statistics
2
0
0
2
C
MTH 202
Elementary Differential Equation I
2
1
0
3
C
MTH 206
Linear Algebra II
2
0
0
2
C
CSE 202
Overview of Computer Sci. & Eng.
2
0
0
2
C
GNS 202
Logic, Philosophy and Science
2
0
0
2
C
TOTAL
16
3
2
21
300 LEVEL harmattan SEMESTER courses
Course Code
Course Title
L
T
P
Units
Remark
STA 301
Distribution Theory
2
0
0
2
C
STA 305
Regression Analysis I
1
1
0
2
C
STA 307
Sampling Theory & Survey Methods I
4
0
0
4
C
STA 309
Lab/Field work for sampling
0
0
2
2
C
MTH 301
Abstract Algebra I
2
1
0
3
C
MTH 307
Set, Logic and Algebra
2
1
0
2
C
CSE 301
Computer Programming
2
1
0
3
C
GNS 209
Element of Administration
2
0
0
2
C
TOTAL
15
4
2
21
300 LEVEL rain SEMESTER courses
Course Code
Course Title
L
T
P
Units
Remark
STA 302
Probability III
3
1
0
4
C
STA 306
Statistical Quality Control
4
0
0
4
E
STA 308
Lab/Field work for Quality Control
0
0
2
2
E
STA 310
Operations Research I
4
0
0
4
E
STA 312
Laboratory for Operations Research I
0
0
2
2
E
STA 314
Analysis of Variance I
1
1
0
2
C
MTH 306
Real Analysis II
2
1
0
3
C
TOTAL
13
4
4
21
NOTE: (i)
Student must register for at least 6 units of the elective courses.
(ii)
The theory and laboratory work of the electives must be done
concurrently.
(iii) Minimum total units a student can register for is 15.
(iv)
Total units of compulsory courses is 9.
400 LEVEL harmattan SEMESTER courses
Course Code
Course Title
L
T
P
Units
Remark
STA 403
Stochastic Processes
3
1
0
4
E
STA 405
Time Series
3
1
0
4
E
STA 407
Design and Analysis of Experiments
2
1
1
4
C
STA 409
Computer programming & statistical Packages
1
1
2
4
C
STA 411
Inference III
4
0
0
4
C
STA 413
Laboratory for Inference III
0
0
2
2
C
STA 415
Biometry
3
1
0
4
E
MTH 407
Lebesque Measure and Integration
2
1
0
3
C
TOTAL
18
7
4
29
NOTE: (i)
Student must register for at least 4 units of the elective courses.
(ii)
Minimum total units a student must register for is 21.
(iii)
A student cannot register for more than a total unit of 24.
(iv)
Total units of compulsory courses is 17.
400 LEVEL rain SEMESTER courses
Course Code
Course Title
L
T
P
Units
Remark
STA 410
Industrial Training (SIWES)
0
0
3
3
C
500 LEVEL harmattan SEMESTER courses
Course Code
Course Title
L
T
P
Units
Remark
STA 501
Probability Distribution IV
3
1
0
4
E
STA 503
Analysis of Variance II
1
1
0
2
C
STA 505
Regression Analysis II
1
1
0
2
C
STA 507
Demography
2
0
0
2
E
STA 509
Laboratory and field work for Demography
0
0
2
2
E
STA 511
Multivariate Statistical Analysis
3
1
0
4
E
STA 513
Sampling Theory & Survey Method II
3
1
0
4
E
STA 599
Project
0
0
3
3
C
TOTAL
12
6
5
23
NOTE: (i)
Student must register for at least 8 units of the elective courses.
(ii)
Minimum total units a student must register for is 15.
(iii)
Any student willing to register for more than 24 units but not more
than 28 units must request for permission to do so from the
University through the Department and Faculty.
(iv)
Total units of compulsory courses is 7.
500 LEVEL rain SEMESTER courses
Course Code
Course Title
L
T
P
Units
Remark
STA 502
Decision Theory
3
1
0
4
C
STA 504
Non Parametric Methods
3
1
0
4
C
STA 506
Operations Research II
4
0
0
4
E
STA 508
Laboratory for Operations Research II
0
0
2
2
E
STA 512
Psychometry
3
1
0
4
E
STA 599
Project
0
0
3
3
C
MTH 508
Measure Theory
2
1
0
3
E
TOTAL
NOTE: (i)
14
5
5
24
Student must register for at least 6 units of the elective courses.
(ii)
Any Student who registers for STA 506 must also register for STA 508.
(iii) Minimum total units a student must register for is 17.
(iv)
Any student willing to register for more than 24 units but not more
than 28 units must request for permission to do so from the
University through the Department and Faculty.
(v)
Total units of compulsory courses is 11.
COURSE CONTENTS
200 LEVEL harmattan SEMESTER courses
STA 201 PROBABILITY 1;3-1-0 (4 UNITS)
Generation of statistical events from set-theory and combinatorial methods. Elementary principle of
probability. Types and distribution of random variable the binomial, Poison, hyper geometric, normal
distribution. Expectations and moments of random variables. Probability sampling from table of random
numbers, Selected applications.
STA 203 INFERENCE 1 4-0-0 (4 UNITS)
Statistical data their sources, collection and primary analysis by tables and graphs. Time series,
Demographic measures and index numbers. Inference: estimation and tests of hypotheses. Regression
and correlation.
STA 205 LABORATORY FOR INFERENCE 1 0-0-2 (2 UNITS)
Presentation and analysis of data: Curve fitting and goodness – of fit tests. Construction of
questionnaires and simple index numbers. Use of random numbers and statistical tables.
STA 207 STATISTICS PHYSICAL SCIENCES AND ENGINEERING 3-1-0 (4 UNITS)
Measures of location and dispersion is simple and grouped data. Elements of probability and probability
distributions. Estimations and tests of hypotheses concerning the parameters of distributions.
Regression, correlation and analysis of variance. Contingency table. Non-parametric inference.
STA 211 DISCRIPTIVE STATISTICS: 2-1-1 (4 UNITS)
Basic Statistical Concepts. Introduction, Quantitative and Qualitative characteristics Sampling and nonsampling errors. Inductive inference from sample. Different methods of data collection, Classification –
presentation and interpretation of data. Concepts and measure of location and dispersion Skewness and
Kurtosis. Moments, Simple Regression and correlation.
200 LEVEL rain SEMESTER courses
STA 204 INFERENCE II 4-0-0 (4 UNITS)
Hypothesis Testing: Use of Neyman – pear fundamental Lemma, the power of a test. Point and internal
estimation (Testing and estimation of large sample situations) binomial, Poisson, normal contingency
tables, Goodness of fit tests.
STA 206 LABORATORY FOR INFERENCE II: 0-0-2 (2 UNITS)
Computations base on curve fittings, goodness of fit tests, estimation. Test of hypotheses and
contingency tables.
STA 208 PROBAILITY II: 3-1-0 (4 UNITS)
Combinatoral analysis. Probability models for the study of random phenomenon if finite sample spaces
Probability distributions of discrete and continuous random variables. Expectations and moments
generating functions. Chebyshev inequality. Bi-variate marginal and conditional distributions and
moments Convolution of two distributions and moments Convolution of two distributions, the central
limit theorem and its uses.
STA 210 STATISTICS FOR BIOLOGICAL AND AGRICULTURAL SCIENCES: 3-1-0 (4 UNITS)
Use of statistical methods in Biology and Agriculture. Frequency distribution of Probability. The
Binomial, Poison and Normal Probability Distribution. Estimation and test of hypothesis, Design of
simple and Agricultural and Biological experiments. Analysis of variance and convariance. Simple Linear
Regression and Correlation. Contingency Table. Some Non-parametric tests.
STA 212 HISTORY OF STATISTICS: 2-0-0 ( 2UNITS)
History of Statistics with emphasis on developments of various areas of the subject in 20th Century.
300 LEVEL harmattan SEMESTER courses
STA 301 DISTRIBUTION THEORY: 1-1-0 (2 UNITS)
The Gamma, Exponential, chi-square, 2type of beta, Normal, student-t F and
bivariate Normal
distributions. Distribution of functions random variables using cumulative distribution function, moment
generating function and transformation techniques. probability integral transformation. Order statistics
and their functions.
STA 305 REGRESTION ANALYSIS I: 1-1-0 (2 UNITS)
Pre-requisite-m STA 204 and STA 206
Multiple linear regression models polynomial regression. Test of independence and goodness - of - fit.
Use of dummy variables. Non – linearity in parameter requiring simple transformation.
STA 307 SAMPLING THEORY AND SURVEY METHODS I: 4-0-0 (4 UNITS)
Pre-requisite – STA 204
Basic sampling methods: Simple random sampling, Stratification, Cluster. Use of auxiliary information.
Non – sampling errors. Estimation of population mean and total in simple and in stratified random
sampling. Methods of social investigation. Planning surveys, problems, design of surveys, errors and
bias, methods of collection, of data, processing, analysis and interpretation. Nigeria’s experience in
sampling surveys.
STA 309 LABORATORY AND FIELD WORK FOR SAMPLING: 0-0-2 (2 UNITS)
Field and laboratory appraisal of some of the techniques and problems in sample surveys.
300 LEVEL rain SEMESTER courses
STA 302 PROBABILITY DISTRIBUTION III: 3-1-0 (4 UNITS)
Pre-requisite – STA 208
Brief revision of basic probability concepts. Probability generating functions. Univariate and bivariate
moment generating functions, Univariate characteristic functions. Inversion formula. Various modes of
convergence. Laws of large numbers and central limit theorem using characteristics functions. Random
walk and Markov chains. Introduction to Poisson process.
STA 306 STATISTICAL QUALITY CONTROL: 4-0-0 (4 UNITS)
Pre-requisite – STA 204
Process control: Use of control charts to achieve process stability. Tolerance limits as a function of
component variability. Product control: Design of simple, double, multiple, and sequential sampling
plans. Comparison of different sampling plans. Cumulative sum charts, feedback theory for controlling
continuous process.
STA 308 LABORATORY AND FIELD WORK FOR STATISTICAL QUALITY CONTROL: 0-0-2 (2 UNITS)
Practical construction of control charts. Computations involving tolerance limits. Sample, multiple and
sequential plans. Design and analysis of various rectification schemes.
STA 310 OPERATIONS RESEARCH I: 4-0-0 (4 UNITS)
Classical methods of optimization: Maxima and minima, Language’s multipliers. Linear programming:
Convex sets and functions, simplex and revised simplex methods duality theory, applications. Game
theory: two persons, zero- sum games, saddle point, dominance, strategies.
STA 312 LABORATORY FOR OPERATIONS RESEARCH I: 0-0-2 (2 UNITS)
Exercise on problem formulation involving linear programming applications. Computation using simple,
revised simplex algorithms to solve non-trivial linear programming problems. use of linear programming
computer package.
STA 314 ANALYSIS OF VARIANCE I: 1-1-2 (2 UNITS)
Pre- requisite - STA208
Analysis of simple, double and multiple classifications of balanced data in crossed and nested
arrangements. Analysis of two-ways, three ways contingency tables for test of homogeneity,
independence and interactions. Analysis involving incomplete tables missing values.
400 LEVEL harmattan SEMESTER courses
STA 403 STOCHASTIC PROCESES: 3-1-0 (4 UNITS)
Pre- requisite - STA 302.
Random walk: simple and general random walk with absorbing and reflecting barriers. Markovian
processes with finite chain. Limit theorems. poison, branching, birth and dearth processes. Queing
processes: M/ M/ I, M/ M/ S, M/ G/ I queues and their waiting time distributions. Relevant applications.
STA 405 TIME SERIES: 3-1-0 (4 UNITS)
Pre-requisite – STA 305
Components of time series. Measurement of trend, seasonal index, the cyclical component and random
fluctuations. Series correlation, correlogram. Stationary time series. Estimation of means and their
covariance function. Model identification. linear prediction in time series, autoregressive series.
STA 407: DESIGN AND ANALYSIS OF EXPERIMENTS 2-1-1 (4 UNITS)
Pre-requisite – STA 301
Application of statistical methods to the efficient design of experiments. One factor and multi-factor
experiments in randomized block, incomplete blocks, Latin squares, split-plots, etc. 2n factorial
experiments with confounding and fractional replications. Problems in experimentation; Missing values,
heterogeneous data.
STA 409 COMPUTER PROGRAMMING AND STATISTICAL PACKAGES:
1-1-2 (4 UNITS)
Writing of statistical programmes using some of these languages: BASIC, FORTRAN, PASCAL, C+, C++, etc.
analyzing data using some of these statistical packages: SPSS, SAS, STATA, GENSTAT, MINITAB, etc.
STA 411 INFERENCE III: 4-0-0 (4 UNITS)
Pre-requisite - STA 204
Statistic: Sufficiency, completeness point Estimation: Methods of moments, of least of squared errors, of
maximum likelihood.
Properties of Point Estimation: Unbiasedness, Fisher Information, Gramer – Rao Inequality, Efficiency,
asymptotic efficiency, Uniformly Minimum Variance Unbiased Estimator, Consistency, Best Asymptotic
Normality.
Confidence Intervals and Regions: General method of finding a confidence bound, large sample
confidence intervals.
Gauss – Markov and Fisher – Cochran theorems.
Tests of hypotheses: Simple vs Simpe – Best Test, Most Powerful Test – use of Neyman – Pearson
Fundamental Lemma.
STA 413 LABORATORY FOR INFERENCE III: 0-0-2 (2 UNITS)
Computations involving point and interval estimation. Tests of hypothesis. Analysis of variance,
goodness – of – fit tests and contingency tables.
STA 415 BIOMETRY: 3-1-0 (4 UNITS)
Purpose, history and structure of biological assays. International standards. Statistical Science and
biological assays. Terminology and notations. Types of biological assays Nature of direct assays.
Applications to strophanthus. Precision of estimates
400 LEVEL rain SEMESTER courses
Industrial Attachment Period
500 LEVEL HARMATTAN SEMESTER courses
STA 501 PROBABILITY DISTRIBUTION IV: 3-1-0 (4 UNITS)
Pre-requisite – STA 302
Probability spaces, measures and distributions. Distributions of random variables as measurable
functions. Product spaces, product of measurable spaces, product probabilities. Independence of and
expectation of random variables. Convergence of random variables: Weak convergence, convergence
almost everywhere, convergence in mean. Central limit theorem laws of large number. Characteristics
function.
STA 503 ANALYSIS OF VARIANCE II: 1-1-0 (2 UNITS)
Pre- requisite – STA 314
Analysis of variance involving unbalanced data. Multi- variate analysis of variance Analysis of nultifactor,
multi-response of variance such as missing observation Non-normality, heterogeneity of variance, etc.
STA 505 REGRESSION ANALYSIS II: 1-1-0 (2 UNITS)
Pre-requisite – STA 305
Partial and conditional expectation of Y green Xn correlation models, partial and correlation models.
Canonical correlation. Test of independence of regression coefficients. Multicolinearity and other
problems associated with ‘Best Regression Models’
STA 507 DEMOGRAPHY: 2-0-0 (2 UNITS)
Demographic data: Sources, assessment of and use in construction of life tables. Definition of basic
concepts. Estimation of population parameters from defective data. Stable and quasi – stable
population, population projections.
STA 509 LABORATORY AND FIELD WORK FOR DEMOGRAPHY: 0-0-2 (2 UNITS)
Exercises on assessment of and use in construction of life tables; estimation of population parameters
from defective data, stable and quasi – stable population; and population projections.
STA 511 MULTIVARIATE STATISTICAL ANALYSIS: 3-1-0 (4 UNITS)
Multivariate Normal distribution and associated marginal and conditional distributions. Estimation of
mean vector and variance – covariance matrix. Hotelling T2 and mahalanobi’s D2. Test of hypotheses.
Discriminant Function. Classification Principal Components and Factor Analysis.
STA 513 SAMPLING THEORY AND SURVEY METHODS II: 3-1-0 (4 UNITS)
Pre- requisite – STA 307
Single and multi – stage cluster sampling. Equal and unequal clusters. Double sampling Further use of
auxiliary information. Multivariate ratio estimation. Unequal probability sampling with or without
replacement. Ordered or unordered estimators.
500 LEVEL rain SEMESTER courses
STA 502 DECISION THEORY: 3-1-0 ( 4 UNITS)
Pure or Mathematical Game (  , A, L). Admissibility of action with respect to the action space a and the
loss function L: (  X A) . Minimax and Bayes action. Statistical Game (  , D, R) : Admissibility of a
decision ruled with respect to the decision space D and the risk function R (  , d) = E., L (  ,d(X)).
Minimax and Bayes decision rule. Estimation Conjugate prior and bayes estimator. Hypothesis Testing:
Best test MP test and Bayes test of simple hypothesis vs. simple hypothesis. UMP test of one sided
alternative.
STA 504 NON-PARAMETRIC METHODS: 3-1-0 (4 UNITS)
Pre- requisite – STA 302 and STA 411
Order statistics and their distribution. Kolmogorov type of test statistic. Common non-parametric test
including runs, sign rank order and rand correlation. Null distributions and their approximations.
Efficiency properties. Estimates based on test statistics.
STA 506 OPERATIONS RESEARCH II: 4-0-0 ( 4 UNITS)
Integer programming: Problem formulation and methods of solution. Non-linear programming: Search
methods, Newton’s Raphson method, Frit – John optimality conditions and Lagrangian multipliers.
Network analysis. Path methods including Bellman’s equations, cyclic and network with positive path.
Inventory theory and applications. Dynamic programming routine of problems, resource allocation and
equipment replacement.
STA 508 LABORATORY FOR OPERATIONS RESEARCH II: 0-0-0 (2 UNITS)
Exercises on problem formulation involving integer linear programming. Computations using Branch and
Bound algorithm. Exercises on non – linear programming, network analysis (including project
management, transportation and assignment problem). Dynamic programming problems. Use of various
computer packages to solve problems.
STA 512 PSYCHOMETRY: 3-1-0 (4 UNITS)
Pre-requisite – STA 302 and STA 411
The foundations of mental measurement theory. Measurement in psychology and education. The
classical test theory model: fixed length, variable length. Some estimates of parameters of the classical
model. Other weak true – score models, parallel measurements. Types of reliability co-efficients and
their estimation. Some test theory for equivalent measurements. Items, sampling in test theory and in
research design.
STA 599 PROJECT: (6 UNITS)
Individual work on a selected topic illustrating application of some of the theories and techniques
covered in the course.
SPILL – OVER STUDENTS
Any student that could not graduate having used the normal five years or four years or any
number of years expected to be used (depending on the mode of entry) in the programmes is a
spill over student.
NOTE: Any Spill – over Student who wishes to register for courses with total units less than 12
or more than 24 but not 28 must request for permission to do so from the University through the
department and faculty at the beginning of the semester.
MINIMUM Requirements FOR GRADUATION
Apart from the fact that a student must be found worthy, both in character and learning, of the
award of B. Tech Statistics degree, he / she also must have:
(i)
passed all the 100 level University courses.
(ii)
passed all the 113 units of compulsory courses.
(iii)
passed all the 24 units of elective courses.