São Leopoldo Mandic Dental Research Center, Campinas, SP, Brazil.
J Appl Oral Sci. 2011 Oct;19(5):488-92. doi: 10.1590/s1678-77572011000500009.
Statistical analysis of data is crucial in cephalometric investigations. There are certainly excellent examples of good statistical practice in the field, but some articles published worldwide have carried out inappropriate analyses.
The purpose of this study was to show that when the double records of each patient are traced on the same occasion, a control chart for differences between readings needs to be drawn, and limits of agreement and coefficients of repeatability must be calculated.
Data from a well-known paper in Orthodontics were used for showing common statistical practices in cephalometric investigations and for proposing a new technique of analysis.
A scatter plot of the two radiograph readings and the two model readings with the respective regression lines are shown. Also, a control chart for the mean of the differences between radiograph readings was obtained and a coefficient of repeatability was calculated.
A standard error assuming that mean differences are zero, which is referred to in Orthodontics and Facial Orthopedics as the Dahlberg error, can be calculated only for estimating precision if accuracy is already proven. When double readings are collected, limits of agreement and coefficients of repeatability must be calculated. A graph with differences of readings should be presented and outliers discussed.
在头影测量研究中,数据的统计分析至关重要。该领域确实有优秀的良好统计实践范例,但全球发表的一些文章进行了不当的分析。
本研究的目的是展示当每位患者的双份记录在同一时间被追踪时,需要绘制一个差值的控制图,并计算出可重复性和一致性的界限。
本文使用一篇著名的正畸学论文的数据,展示头影测量研究中的常见统计实践,并提出一种新的分析技术。
显示了两个射线照片读数和两个模型读数的散点图以及各自的回归线,还获得了射线照片读数差值的均值控制图并计算了可重复性系数。
只有在已经证明准确性的情况下,才能计算出正畸学和面部正畸学中称为 Dahberg 误差的零均值差异的标准误差,以仅用于估计精度。当收集双份读数时,必须计算一致性界限和可重复性系数。应该呈现带有读数差值的图表,并讨论离群值。