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J Thorac Cardiovasc Surg 2004;128:823-825
© 2004 The American Association for Thoracic Surgery
Statistics for the Rest of Us |
a Department of Thoracic Surgery, Guy's Hospital, London, UK
b Clinical Operational Research Unit, Department of Mathematics, University College, London, United Kingdom
Received for publication February 23, 2004; accepted for publication March 4, 2004.
* Address for reprints: Tom Treasure, MS, MD, FRCS, Consultant in Thoracic Surgery, Guy's Hospital, St Thomas's St, London SE1 9RT, United Kingdom
Tom.Treasure@ukgateway.net
| The first 300 words of the full text of this article appear below. |
| See related article on pages 807, 811, 820, and 907.
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Marc de Leval1 presented a cumulative sum (CUSUM) chart to The American Association for Thoracic Surgery in Chicago 10 years ago. His graph (Figure 1) showed an outstanding series of 52 cases performed with just 1 death early in the adoption of the arterial switch operation for transposition of the great arteries. The CUSUM graph concluded with a similarly excellent, nearly flat line with 1 death in the most recent 39 cases. Sandwiched between them was a cluster of deaths. de Leval's CUSUM chart was simple, explicit, and intuitive; each operation moved the graph 1 unit along the horizontal axis, and each death moved it up by 1 unit on the vertical axis. It enabled those of us fortunate to be present at what proved to be a landmark presentation to follow the story with absolute clarity. de Leval charted the results for a single procedure. Prompted by his presentation, and convinced that this method would help us display and understand our outcomes better, we worked toward a method of displaying data sequentially that would also allow for variable risk in series of different case mix. We dubbed the method variable life-adjusted display (VLAD),2 but other terms have also been used.3
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