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Please note - Swinburne University of Technology

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Subject description<br />

The analysis <strong>of</strong> variance: revision <strong>of</strong> inference for two<br />

independent groups.<br />

The analysis <strong>of</strong> variance for single-factor completely<br />

randomised designs, randomised blocks, and two-factor<br />

equally replicated designs.<br />

Non-parametric methods; planned and unplanned<br />

comparisons.<br />

Design <strong>of</strong> experiments, blocking, the 2" and fractional 2"<br />

designs.<br />

Multiple Linear Regression: the linear model with several<br />

predictors.<br />

Assumptions for ordinary least squares, methods for<br />

checking the assumptions, including normal probability plots,<br />

residual plots, the lack-<strong>of</strong>-it test and the Durbin-Watson test<br />

for autocorrelation, outliers.<br />

Computer packages such as Minitab and SAS may be used.<br />

References<br />

Brook. R.J. and Arnold, G.C. Applied Regression Analysis and<br />

Experimental Design. New York: Dekker, 1985<br />

Dunn. O.J. and Clark, V.A. Applied Statistics: Analysis <strong>of</strong> Variance and<br />

Regression. 2nd ed, New York: Wiley, 1987<br />

Groenweld, R.A. Introductory Statistical Methods Boston: M-Kent.<br />

1988<br />

Mendenhall, W. and McClave. J.T. A Second Course in Business<br />

Statistics: Regression Analysis. San Francisco: Dellen. 1981<br />

Wonnacott, T.H. and Wonnacott, R.J. Regression; A Second Course in<br />

Statistics. Malabar, Fla.: Krieger, 1986<br />

5~485 Distribution Theory and Estimation<br />

10.0 credit points<br />

No. <strong>of</strong> hours per week: three hours<br />

Prerequisites: SM384<br />

Assessment: testslexamination and assignments<br />

A second-year subject <strong>of</strong> the degree courses in mathematics<br />

and computer science and applied and industrial<br />

mathematics.<br />

Subject description<br />

Probability distributions: Cauchy and Weibull.<br />

Moments <strong>of</strong> probability distributions: central and about the<br />

origin.<br />

Properties <strong>of</strong> probability distributions: moment-generating,<br />

characteristic, likelihood and log-likelihood - functions (discrete<br />

and continuous cases).<br />

Concepts <strong>of</strong> point and intelval estimation.<br />

Estimators and their properties: bias, mean square error,<br />

relative efficiency, consistency, sufficiency, pivotal qualities.<br />

Finding estimators by methods <strong>of</strong> maximum likelihood,<br />

moments and least squares.<br />

Computer packages such as Minitab and SAS may be used.<br />

Textbooks and References<br />

To be advised<br />

SM487 Queueing Theory and Simulation<br />

10.0 credit points<br />

No. <strong>of</strong> hours per week: three hours<br />

Prerequisites: nil<br />

Assessment: assignments and examination<br />

A second-year subject <strong>of</strong> the degree courses in mathemati=<br />

and computer science and applied and industrial<br />

mathematics.<br />

Subject description<br />

Queueing theory, simulation, applications to computers,<br />

inventory models and scheduling.<br />

Computer packages such as Lotus 123lPROPS and SAS,<br />

SASIOR may be used.<br />

References<br />

Journal <strong>of</strong> the Operational Research Society<br />

Ravindran, A., Phillips, D.T. and Solberg, J.J. Operations Research,<br />

Principles and Practice. 2nd ed, New York: Wiley, 1987<br />

Winston, W.L. Operations Research Applications and Algorithms. 2nd<br />

ed, Boston: M-Kent, 1991<br />

SM488<br />

Financial Modelling<br />

10.0 credit points<br />

No. <strong>of</strong> hours per week: three hours<br />

Prerequisites: nil<br />

Assessment: assignments and examination<br />

A second-year subject <strong>of</strong> the degree courses in mathematics<br />

and computer science and applied and industrial<br />

mathematics.<br />

Subject description<br />

Financial mathematics and models, replacement theory,<br />

corporate models, applications in banking.<br />

Computer packages such as Lotus 123 may be used.<br />

Textbooks and References<br />

Bell, A. (ed.) lntroductory Accounting and Finance for Management.<br />

RMIT and PIT Accounting Departments, 1990<br />

Journal <strong>of</strong> the Operational Research Society<br />

Osgood, W.R. and Curtin, D. Preparing Your Business Plan with Lotus<br />

1-23, Berkeley, Calif.: Osborne McGraw Hill, 1986<br />

Stermole, F. Economic Evaluation and lnwstment Decision Methods.<br />

7th ed, Colorado: Investment Evaluations Corporation, 1990<br />

SM504 Project Management B<br />

50.0 credit points<br />

No. <strong>of</strong> hours per week: three hours<br />

Assessment: tests, assignments, written and<br />

verbal project reports, participation in tutorial<br />

classes and project teams<br />

A third-year subject <strong>of</strong> the degree course in mathematics<br />

and computer science.<br />

Subject description<br />

Applied researchlproject management<br />

Further topics in the theory and practice <strong>of</strong> project<br />

management: decision-making; types <strong>of</strong> decisions; how to<br />

make decisions.<br />

Guest speakers from industry may be used. Tutorial classes<br />

are based on further experiential exercises in organisational<br />

behaviour following on from Project Management A.<br />

Introduction to marketing<br />

Students usually working in groups, prepare and present a<br />

marketing strategy for a nominated player in a specific<br />

market.<br />

SM525 Operations Research 5<br />

10.0 credit points<br />

No. <strong>of</strong> hours per week: three hours<br />

Assessment: examination, assignment<br />

A third-year subject <strong>of</strong> the degree course in mathematics<br />

and computer science.<br />

Subject description<br />

Dynamic programming<br />

lntroduction to dynamic optimisation: recursive algorithm;<br />

computational procedures; forward and backward<br />

computations; stochastic problems; final value problems;<br />

infinite,horizon problems; the problem <strong>of</strong> dimensionality;<br />

applications and case studies. Use <strong>of</strong> computer packages<br />

such as PROPS.

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