Research Article
To Compare Time-Weighted Graphs to Evaluate
the Inclination of the Acetabular Component of
Patients Who Had Total Hip Replacement Surgery
Leman Tomak,
1
Yuksel Bek,
1
and YJlmaz Tomak
2
1
Department of Biostatistics and Medical Informatics, Faculty of Medicine, Ondokuz Mayis University, 55139 Samsun, Turkey
2
Department of Orthopedics and Traumatology, Faculty of Medicine, Ondokuz Mayis University, 55139 Samsun, Turkey
Correspondence should be addressed to Leman Tomak; lemantomak55@gmail.com
Received 4 November 2014; Accepted 20 January 2015
Academic Editor: Juan A. Sanchis-Gimeno
Copyright © 2015 Leman Tomak et al. Tis is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Time-weighted graphs are used to detect small shifs in statistical process control. Te aim of this study is to evaluate the inclination
of the acetabular component with CUmulative SUM (CUSUM) chart, Moving Average (MA) chart, and Exponentially Weighted
Moving Average (EWMA) chart. Te data were obtained directly from thirty patients who had undergone total hip replacement
surgery at Ondokuz Mayis University, Faculty of Medicine. Te inclination of the acetabular component of these people, afer total
hip replacement, was evaluated. CUSUM chart, Moving Average chart, and Exponentially Weighted Moving Average were used to
evaluate the quality control process of acetabular component inclination. MINITAB Statistical Sofware 15.0 was used to generate
these control charts. Te assessment done with time-weighted charts revealed that the acetabular inclination angles were settled
within control limits and the process was under control. It was determined that the change within the control limits had a random
pattern. As a result of this study it has been obtained that time-weighted quality control charts which are used mostly in the feld
of industry can also be used in the feld of medicine. It has provided us with a faster visual decision.
1. Introduction
Statistical process control (SPC) methods, utilizing the
increasingly available routinely collected electronic patient
records, could be used in continuous monitoring of clinical
outcomes using routinely collected data [1, 2]. Te “control
charts” are a sequential analysis statistical tool that is partic-
ularly suited to the identifcation of small changes or changes
in the number of cases, in one direction or another [1–3].
Control chart is an efective tool to identify specifc causes
of extreme variability. To distinguish the causes of variability,
one of the most important visible signs is extreme observation
on the control chart [1–3]. If some observations are outside
the control limits, it means that the process is an out-of-
control process, and the balance of the process is deteriorated.
So corrective operations are needed so that the process can be
controlled [2, 4]. If the process is in-control, the test results of
patients are reported, but if it is out-control, the process is
rejected and the results of tests are not reported [5].
Te diferent control charts can be used for the evaluation
process. While some of them are suitable for attribute data
such as p-chart, np-chart, c-chart, and u-chart; some are used
for continuous data such as individual, moving range, X-bar,
range, standard deviation.
Tere are also other control charts which are used for
various purposes apart from these. Te most important of
them are time-weighted control charts. Tey are preferred
in some situations where Shewhart charts did not detect
the case of small shifs. Tere are CUmulative SUM chart,
Moving Average chart, and Exponentially Weighted Moving
Average (Geometric Moving Average) chart in this group
[1, 4, 6, 7].
In the last decade, there has been a growing interest in
the application of these techniques to the medical practice,
especially evaluating and ofen promoting the use of con-
trol charts assessment of performance in three main areas:
trainees’ acquisition of competence in procedural skills [8, 9];
Hindawi Publishing Corporation
BioMed Research International
Volume 2015, Article ID 129610, 6 pages
http://dx.doi.org/10.1155/2015/129610