Please note - Swinburne University of Technology

Statistical packages
Minitab, Version 8.1 (1991)
SPSSIPC +, Version 5.1 (1992) andlor SPSS for Windows (1992)
Excel Version 4 (1 992)
Video series
Against All Odds. Adelaide, AAMT: Comap Inc.
SM757 Epidemiological Methods
12.5 credit points
No. of hours per week: four hours
Prerequisites: SM755 and SM756
Instruction: class teaching and laboratory sessions
Assessment: assignments and a test
Subject aims
This subject aims to develop critical skills in the evaluation of
the health and medical literature involving epidemiology with
an emphasis on statistical and methodological analysis.
n
C Subject description
< (i) Epidemiological study designs: descriptive and analytical
% studies, observational versus experimental designs, crosssectional
surveys, cohort and case-control studies, clinical
-0
o_ trials and intervention studies. Determination of sample size.
5.
a (ii) Confounding: identifying potential confounding:
stratification and adjusted estimates, regression and
multivariate adjustment, matching.
?J (iii) Diagnostic texts: repeatability and validity of tests for
disease, sensitivity and specificity of tests, predictive value
and prevalence. Bayes' theorem.
(iv) Screening for disease: reasons for screening,
requirements for screening, prevalent and incident cases,
quality of screening test.
References
Clayton, D. and Hills, M. Statistical Models in Epidemiology Oxford:
Oxford Univeristy Press, 1993
Kirkwood, B.R. Essentials of Medical Statistics. Oxford: Blackwell,
1988
Hennekens, C.H. and Buring, J.E. Epidemiology in Medicine. Boston:
Little, Brown, 1987
Reid, N.G. and Boore, J.R.P. Research Methods and Statistics in Health
Care. London: Edward Arnold, 1987
Computer packages
Epi lnfo V5 + (1 992)
SPSS for Windows (1992)
EGRET (1992)
5.~758 Analysis of Risks and Rates
12.5 credit points
No. of hours per week: four hours
Prerequisites: SM755 and SM756
Instruction: class teaching and computer
laboratory sessions
Assessment: assignments and a test
Subject aims
This subject aims to develop critical skills in the evaluation of
health and medical literature on risks and rates with an
emphasis on statistical and methodological analpis.
Subject description
(i) Anal' of risks: the binomial distribution, risk estimates,
confidence intervals for proportions, risk differences, z-test
and chi-square test, confience interval for a differene, risk
ratios, odds ratios, confidence interval for an odds ratio.
Logistic regression. Determination of sample size.
(ii) Analysis of rates: the Poisson distribution, rate estimates,
confidence interval for a rate, rate ratios and confidence
intervals for a rate ratio. Poisson regression. Determination of
sample size.
References
Campbell, M.J. and Machin, D. Medical Statistics: A Commonsense
Approach. New York: Wiley, 1990
Clayton, D. and Hills, M. StatisTical Models in Epidemiology Oxford:
Oxford University Press. 1993
Kirkwood, B.R. Essentials of Medical Statistics. Oxford: Blackwell,
1988
Computer packages
Epi lnfo V5 + (1 992)
EGRET (1 992)
SMI 200 Mathematics 1
10.0 credit points per semester
No. of hours per week: four hours for two
semesters
Assessment: tests/examinations and assignments
A first-year subject of the degree course in computing and
instrumentation.
Subject description
Vectors
Vectors in 2 and 3 dimensions. Dot and cross products of 2
vectors in space and applications.
Numerical calculations
Introduction to numerical methods. Errors and their
propagation. Numerical solution of equations by graphical
and iterative methods.
Elementary combinatorial analysis; counting selections and
arrangements.
Plane analytic geometry
Co-ordinate geometry in Cartesian co-ordinates; graphs of
linear, polynomial, rational and power functions and of conic
sections.
Functions of one variable
Standard functions and their graphs. Finite and infinite
limits; continuity.
Calculus
Differentiation: geometric interpretation; derivatives of
standard functions; product, quotient and chain rules;
implicit differentiation.
Applications of differentiation: graph sketching; related rates;
optimisation; differentials and approximations; Taylor
polynomials; L'HBpital's rule.
Integration: definite and indefinite integrals and their
interpretations; integrals of standard functions; integration by
substitution and by parts; improper integrals; systematic
integration of rational functions and of products of
trigonometric functions. Numerical integration.
Applications of integration: areas, volumes, lengths of curves
and surface areas of surfaces of revolution; integrals of rates
of change.
2D polar co-ordinates
Definitions: Graphs of equations; transformation to and from
Cartesian co-ordinates.
Complex numbers
Definition and arithmetic: polar form; de Moivre's theorem
and exponential notation.
Ordinary differential equations
General and particular solutions. First order equations of
separable, linear and homogeneous types. Second order
linear equations with constant coefficients. Applications.
Numerical methods of solution.
Vector functions
Calculus of vector functions of one variable with application
to displacement, velocity and acceleration and to mechanics.
Equations to lines and planes, gradient of a scalar field,
directional derivative.