Distributions and correlations in Monte Carlo simulation

Wall, D M (1997) Distributions and correlations in Monte Carlo simulation. Construction Management and Economics, 15(3), pp. 241-258. ISSN 01446193

Abstract

The use of Monte Carlo simulation in construction cost analysis is of interest to construction professionals as part of the risk analysis of construction projects. In recent high profile publications the presentation of Monte Carlo simulation based cost analysis overplays the importance of the choice of which distribution to use to represent input variables and underplays the importance of assessing and including correlations between the variables. The British literature also overplays the suitability of the beta distribution to represent input variables. This paper addresses these issues using a data set comprising elemental rates from 216 office buildings drawn from the BCIS of the RICS. Using a chi-squared test for goodness of fit it is shown that lognormal distributions are superior to beta distributions in representing the data set. Simulation runs of the cost model including and excluding correlations show that correlations must be included in Monte Carlo simulation otherwise the analysis leads to serious misassessment of risk. Simulation results show also that the effect of excluding correlations is more profound than the effect of the choice between lognormal and beta distributions.

Item Type: Article
Uncontrolled Keywords: correlation; cost analysis; distributions; interdependence; Monte Carlo simulation
Index terms: construction professional, cost analysis, publication, cost model, office building, risk analysis, suitability, construction project, Monte Carlo simulation, construction cost, interdependence
Subjects: modelling and simulation, professional development, environmental hazards, financial and cost management, production management, organizational analysis, construction type, research dissemination and communication, design criteria
Topics: Cost Management, Project Management, Construction Technology, Organizational Design, Information Management, Sustainability, Research Practice, Design Practice
Descriptive scope: 3 PCA

N.B. Descriptive scope is a count of how many of the five facets of empirical research are indicated by the words used in title, abstract and keywords. It is not intended as a judgement on the research; merely a count of the kind of word we would expect to indicate Phenomenon, Concepts, Theoretical framing, Empirical techniques, Analytical techniques. If all five are present, then a code of “5 PCTEA” will indicate this. If you feel the coding for this record is questionable, we welcome discussion around the terms we matched or the way we categorized them. The facet you would expect may not be coded, or a facet may be coded inappropriately. This can also bear on a larger question, of which facets should be treated as defining in construction management research. Please get in touch, and we will look at it. More details here