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General Statistical Applications

An explanatory model for surgery-duration

Forecasting surgery-duration (SD) accurately is a pre-condition for efficient utilization of operating theatres. An explanatory model may provide a good tool to produce such forecasts.

In this post, I deliver essential details of a new article, published recently in a peer-reviewed journal (Shore, 2020; see details below). A new explanatory model for SD is developed, and empirically validated, using a database of ten-thousand surgeries, performed in an Israeli hospital.

The new publication indeed complements a previous article on the same subject, published by me over thirty years ago (Shore, 1986; see details below).

One may realize that this article in practice presents a general model for performance-time of any of the three possible categories of work-processes: Repetitive, semi-repetitive and non-repetitive/memoryless. However, applying the model does not require specifying in advance which category the work-process belongs to. This becomes apparent as a result of data analysis.

Part of the Abstract and a link to the new article are provided below (please share).

Enjoy it!


Article title:  An explanatory bi-variate model for surgery-duration and its empirical validation

Journal: COMMUNICATIONS IN STATISTICS: CASE STUDIES, DATA ANALYSIS AND APPLICATIONS

DOI (press to read full Abstract and References):

https://doi.org/10.1080/23737484.2020.1740066

Limited-number free downloads (please download only if seriously interested):

https://www.tandfonline.com/eprint/WRXV8ECTHJJTPNYTM8UE/full?target=10.1080/23737484.2020.1740066

Other statistical applications on this blog (sample);

How to Use Standard Deviations in Weighting Averages?

Response Modeling Methodology Explained by Developer

Response Modeling Methodology — Now on Wikipedia

SPC-based monitoring of ecological processes (Presentation, Hebrew)

SPC-based Monitoring of Fetal Growth (Presentations)


ABSTRACT (partial)

Modelling the distribution of surgery-duration has been the subject of much research effort. A common assumption of these endeavours is that a single distribution is shared by all (or most) subcategories of surgeries, though parameters’ values may vary. Various distributions have been suggested to empirically model surgery-duration distribution, among them the normal and the exponential. In this paper, we abandon the assumption of a single distribution, and the practice of selecting it based on goodness-of-fit criteria. Introducing an innovative new concept, work-content instability (within surgery subcategory), we show that the normal and the exponential are just two end-points on a continuous spectrum of possible scenarios, between which surgery-duration distribution fluctuates (according to subcategory work-content instability). A new explanatory bi-variate stochastic model for surgery-duration is developed, which reflects the two sources affecting variability— work-content instability and error…

Reference:

Shore, H. 1986. “An Approximation for the Inverse Distribution Function of a Combination of Random Variables, with an Application to Operating Theatres.” Journal of Statistical Computation and Simulation 23 (3):157–181.