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© 2016 Dental Press Journal of Orthodontics 15 Dental Press J Orthod. 2016 Nov-Dec;21(6):15-6

editorial

Orthodontic treatment is routinely described to last, on average, 24 months. Nonetheless, every orthodontist has already experienced that this time length shows huge variability, depending on several factors that are inherent to the operator, the patient, scientiic knowledge and mastering of the mechanics used in orthodontic movement. It is very likely that there is something else, some-thing still unknown. In this case, as well as in many others, being aware of the mean time will end up being of minor importance and will

pro-duce meager information.2 Variability is routine

in the biological ield, a measure which is much more interesting than the mean itself.

The vast majority of scientific investigations should be addressing the reasons of such vari-ation in the results obtained, much more than they address the mean — a measure that encom-passes the minority of individuals, most of the time. Finding out that a procedure reduces the mean treatment time by 10% is important, but it seems more interesting to explain why treat-ment variability among similar patients treated

with the same procedure may exceed 100%.3,4

While statistical analyses aimed at comparing means are interesting, it would be much more fruitful modulating the factors associated to such variability. In that case, tests to compare

means (t test, ANOVA) are left aside in order to

let us use regression models that are capable of opening windows hardly glimpsed at.

Let us provide a practical example. Research-ers are carrying out a study to evaluate orthodon-tic treatment stability in Class III patients, mild or moderate, treated in a compensatory way at the permanent dentition. Any experienced orthodon-tist has already faced stable cases and relapse cases in this type of malocclusion. Suppose the authors observe that one out of four patients (25%) has had a clinical relapse of the malocclusion ive years af-ter the end of the treatment. That information is important, but is of less applicability in the clinical practice. If our next patient is given only that infor-mation, they would probably ask us: “– Do I have greater chances of stability or relapse?”

A more individualized answer to that ques-tion would demand evaluating the several vari-ables inherent to the patient, such as vertical

How to cite: Normando D. Explaining variability. Dental Press J Orthod. 2016 Nov-Dec;21(6):15-6.

DOI: http://dx.doi.org/10.1590/2177-6709.21.6.015-016.edt

1 Adjunct professor, Universidade Federal do Pará (UFPA), School of Dentistry, Belém, Pará, Brazil. Coordinator, Universidade Federal do Pará (UFPA), Graduate program in Dentistry, and ABO-Pará, Specialization course in Orthodontics, Belém, Pará, Brazil.

DOI: http://dx.doi.org/10.1590/2177-6709.21.6.015-016.edt

David Normando1

Explaining variability

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© 2016 Dental Press Journal of Orthodontics 16 Dental Press J Orthod. 2016 Nov-Dec;21(6):15-6

Editorial

analysis of relapse risks. By adding these vari-ables to our analysis, be it clinical or statistical, we will have a more accurate answer to the pa-tient’s question. Instead of 25% of relapse risk for all of them, indistinctly, it will be possible to increase this risk rate for patients with certain characteristics, or reduce it for others.

Regression is, thus, an excellent tool for pre-dicting what will happen during the treatment of your next patient or after its ending. A major part of what is named diagnosis and treatment plan in Orthodontics involves predicting. Sur-prisingly, many clinicians are aware of that, even though they are not fond of statistical models; whereas researchers should explore the benefits of multiple regression analyses more deeply, be in Orthodontics or other fields.

David Normando – editor-in-chief (davidnormando@hotmail.com) facial pattern, preexisting degree of

dentoalveo-lar compensation, the sagittal severity of the in-itial malocclusion, age at the beginning of the treatment, remaining growth potential and so on  —  since these are all factors that may have influence over the risk of treatment relapse. All  these characteristics can be collected in a good diagnosis. Nevertheless, there are some others that should be added, with the purpose of enhancing the accuracy of the answer. Some can only be computed in the course of the treat-ment: the patient’s cooperation taking care of the orthodontic appliances and the use of elas-tics, and regular appointment attendance; some others will be available only after the treatment, such as cooperation in using the retention and the residual growth. Even if we combine it all, there will still be something missing; however, the answer will be much more reliable than a cabalistic and unisonous number, 25%.

Statistical regression models allow us to model predictor variables of treatment stability and offer the next patient a more individualized

1. Johnston LE Jr. Regression: Is your guess as good as mine. Semin Orthod. 2002 June;8(2):51-109.

2. Normando D. When the mean is an empty plate for clinicians and scientists, and a full plate for politicians and writers. Dental Press J Orthod. 2014 Sept-Oct;19(5):14-5.

3. Melo ACEO, Carneiro LOT, Pontes LF, Cecim RL, Mattos JNR, Normando D.

Factors related to orthodontic treatment time in adult patients. Dental Press J Orthod. 2013 Sept-Oct;18(5):59-63.

4. Bichara LM, Aragón ML, Brandão GA, Normando D. Factors influencing

orthodontic treatment time for non-surgical Class III malocclusion. J Appl Oral Sci. 2016 Sep-Oct;24(5):431-436.

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