Skeletal improvement in patients with Gaucher disease type ...
EFFECT ON SKELETAL CLASS LOW PATIENTS€¦ · TREATMENT EFFECT ON SKELETAL CLASS 11 LOW ANGLE...
Transcript of EFFECT ON SKELETAL CLASS LOW PATIENTS€¦ · TREATMENT EFFECT ON SKELETAL CLASS 11 LOW ANGLE...
TREATMENT EFFECT ON SKELETAL CLASS 11
LOW ANGLE PATIENTS
Peter George Dueckman, BA., D.M.D. Division of Graduate Orthodonties
Submitted in partial fiifilment of the requirements for the degree of
Master of Clinical Dentistry
Faculty of Graduate Studies The University of Western Ontario
London, Ontario, Canada February 1998
QPeter George Dueckman 1998
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The purpose of this study was to investigate the effects of non-extraction k e d
appliance orthodontie treatment on low mandibular plane angle Class II, Division 1 patients.
Serial lateral cephalograms taken pre-treatment (Tl), at end of treatrnent (T2), and
2 years post-treatrnent (T3) for 18 females and 18 males were compared to s e d
cephaiograrns of skeletally and dentally sirnilar, untreated subjects, 12 females and 12 males
from the Burhgton Growth Centre, taken at ages 12, 14, and 16. Treatment effects were
assessed by cornparison of changes in skeletal and dental parameters between treated and
untreated groups over the treatment intewai (Tl to TZ), the post-treatment interval (T2 to
T3), and the overd tirne penod (Tl to T3). Angular rneasurements were: SNA, SNB, ANB,
mandibular plane angle to Frankfort Horizont al v), facial axis angle (FA), maxillary incisor
angulation to S-N plane (ISN), and mandibular incisor angulation to rnandibular plane (IMP).
Linear measurements were: postenor face height (PFH), antenor face height (AFH), upper
face height (WH), lower face height (LFH), upper dental height (UDH), and lower dental
height (LDH).
Both fernale and male treatment groups showed effects during the treatment period
that rebounded slightly during post-treatment. Statistically significant changes for the
treatment groups compared to control groups during the Tl to T2 interval were: 1) a
decreased SNA for both females and males; 2) a decreased ANB for females only; 3) an
increased MP coincident with a decreased FA in males only; 4) an increased LFH with an
increased AFH for both females and males; and 5 ) an increased [MP in males only.
Digerences between treatment and control groups for the overd T l to T3 interval were:
1 ) a decreased SNA and AM3 for females; 2) a decreased FA for males; 3) an increased UDH
and a decreased ISN for females; and 4) an increased IMP for the males.
The correction of Class II, Division 1 malocclusion differed slightly between the
females and males. Reduction of AM3 by retraction of protrusive incisors and inhibition of
horizontal maxillary growth was more successfùl for the females. Bite opening effects caused
greater backward and downward rotation of the mandible in the males and necessitated
increased mandibular incisor proclination to achieve desired overjet reduction. Appropriate
mechanotherapy was used to correct anteroposterior and vertical skeletal and dental
discrepancies.
Key Words
Class II division 1 malocclusion Low mandibular plane angle Non-extraction
Orthodonties Cephaiometrics
ACKNOWLEDGEMENTS
1 would like to thank the mernbers of my thesis committee, Dr. David Banting, Dr. Jeff
Dixon, Dr. John Murray and Dr. Eung-Kwon Pae for their questions and constructive
comments. A special word of appreciation goes to my committee chairman, Dr. Antonios
Mamandras for his support and guidance throughout the preparation of this thesis.
1 would like to acknowledge the use of material fiom the Burlington Growth Centre
at the Faculty of Dentistry, University of Toronto which was supported by: (1) National
Hedth Grant (Canada) No.605-7-299, (2) Province of Ontario Grant PR33 and (3) the
Varsity Fund.
1 am indebted to Mrs. Patti-JO Blake for her indispensable assistance in editting,
fonnatting and copyhg the thesis manuscript.
To my classrnates Dr. EbfE Aynaciyan and Dr. N d r Lalani 1 Say thanks for the
cornradene, encouragement and helpfùl instructions.
1 extend my most hearfelt gratitude to my wife Irene and my sons Samuel, Thomas,
James and David for their love and patience in spite of the disruptions imposed on them.
TABLE OF CONTENTS
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Certificate of Examination u
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Acknowledgements v
Table of Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vi
ListofTables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . VÜ . .
List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vlt i
List o f Appendices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix
introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . MethodsandMaterials 4
Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1
Summary and Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
Appendices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
Vita . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
LIST OF TABLES
Table Description
1 Means and standard deviations of initial age and three intervals in months for control and treatment group females and males
Means and standard deviations of initiai cephaiometric values compared between females and males in control and treatrnent groups
Means and standard deviations of initial cephalometnc values cornpared between control and treatrnent groups for females and males
Mean changes in cephalometnc values with standard deviations for three time intervals, in female subjects
V Mean changes in cephaiometric values with standard deviations for three t h e intervals, in male subjects
VI Analysis of covariance for selected outcome variables
VI1 Standard error of measurements
vii
LIST OF FIGURES
Description
Laterai cephalometric landmarks
Angular cephalometric measurements
Linear cep halometric measurement s
Pane
26
27
28
LIST OF APPENDICES
A ~ ~ e n d i x Description
A Dennitions of cephalometric landmarks and planes
B Definitions of angular and linear cep halometric measurements
C Control and treatrnent groups
INTRODUCTION
Orthodontists are often called upon to treat patients with Class II, Division 1
malocclusion and there are rnany reports in the orthodontic literature that describe the
characteristi~sl~ of this problem and the effects of its treatment.9*'332 A number of cross-
s e c t i ~ n a l ~ ~ " ' * ' ~ ~ ~ and l~ngitudinal'*~*~~*~*~~*~~~~ cornparisons oftreated and untreated individuals
have been previously pubtished, but relatively few reports have included comparison of
treated patients to untreated Class II control s u b j e c t ~ . ~ * ~ " ~ ~ ' ~ ~ " * ~
The Angle classification of maiocclusion descnbes problems in the anteropostenor
plane of space but does not differentiate on the basis of vertical differences. l2icketts9
sudivided his Class 11, Division 1 malocclusion group into two facial types, with either
prognathic or retrognathic tendencies based on a combination of values of X Y axis, facial,
and mandibular plane angles. Schudylo proposed that it would be logical to use vertical
growth as the bais for facial typing. He felt that the angle SN-MF (sella-nasion plane to
mandibular plane) should be used for identifjnng types as either "hypodivergent" (low angle)
or "hyperdivergent" (high angle). While differing on semantics both Ricketts9 and Schudy "
modified treatment according to extreme facial types, finding that treatment, particularly the
type of extra-oral traction to the maxillary first molar, could influence the eruption of teeth
and have an effect on the position of the chin and rnandible.
Isaacson et al? studied skeletal and dental parameters of orthodontic patients
exhibiting extreme variations in vertical facial type based on SN-MP angle. They examined
the low SN-MP group in comparison to the high SN-MP group and found that the height of
the posterior rnaxillary first molar and alveolar process was the best predictor of SN-MP
angle. The authors included specific suggestions as to the type of rnechanotherapy and
particularly the type of headgear best suited to the correction of malocclusion in patients with
extreme variations in facial growth.
Researchers have reported the effects of various types of headgear in the treatment
of Class II, Division 1 malocclusions. Wies1anderl3 observeci that with ceMcal headgear
treatment the whole mailla was positioned relatively more downward or downward and
backward and that the lower face height change was greater than in the untreated Class I
control group. Wieslander and Buck" in a six-year follow-up of cervical headgear treatment
changes showed relative stability and minimal physiologie retum of the rnaxillary molar and
basal maxilla. The rnandibular plane angle increased during treatment, then decreased post-
treatment, but the overall decrease was considerably less than in the untreated Class II control
P U P - Melsenls used maxillary and mandibular implants to study the effects of extra-oral
forces. During treatment the maxilla grew downward and backward, the maxillary molar
extruded and the mandible rotated posteriorly. When observeci 7 to 8 years later, the growth
direction of both maxilla and mandible was found to have changed dramatically. The maxilla
had grown fonvard and downward, on average more forward than expected in a typical
population, and similarly the growth direction of the mandible had changed to a more forward
direction in al1 but a few patients.
Mills et al. l6 evaluated the effect of heavy intermittent ceMcal traction applied to the
maxillary arch via 'TV hooks. Assessed for treatment and post-treatment changes, males and
females showed a stable decrease in SNA and ANB. The mandible was rotated downward
and backward slightly during treatment and returned to a more normaf pattern of forward
rotation post-treatment.
Baumrind et al.17*18 examined five systems of maxillary retraction that al1 appeared to
slightly increase the mandibular plane angle relative to both Frankfort plane and SN plane but
with no statistically significant dserences between means. The authors noted that variability
of change in mandibular plane angle was greatest with the cervical and straight pull devices
and suggested that their use might require careful m~nitonng.'~ Further investigation showed
that variability of change in mandibular plane angle was predictively linked to mandibular
proportions and distal positioning of the maxillary first molar, more so than eruption-
extrusion of the upper first molar. Ig
When the same data were revisited by Baumrind et al. l9 to analyze changes in facial
dimensions associated with m d a r y retraction it was found that the cenical group had
increased measurements of both anterior and posterior face height compared to the controls.
This implied that cervical treatment caused facial elongation with relatively unchanged
rnandibular plane orientation.
Numerous researchers have reported on cephdometric changes in Class II, Division
1 non-extraction patients treated with fked appliances, most often including extra-oral
traction forces to the rna~illa.'~~* Some of these specifically differentiated treatment groups
by facial but generally the low angle, brachycephaiic, or deep-bite Class II, Division
1 treatment groups were smd and none were compared to untreated Class II, Division 1
control groups of simila. facial type.
The purpose of this study was to investigate the effect of non-extraction, dved
appliance orthodontie treatment on a group of Iow mandibuiar plane angle Class II, Division
1 patients by examining facial changes Iongitudinally and comparing them to changes in a
skeletally and dentally similar, untreated control group.
METHODS AND MATERIALS
Sample
The data used in this study were compiled from lateral cephalograms of
orthodonticaiiy treated subjects and untreated controls. The treatment group was derived
kom the files of the Graduate Orthodonties Clinic at The University of Western Ontario and
consisted of 18 females and 18 d e s who underwent non-extraction orthodontic treatrnent
with fixed appliances. The control group was made up of 12 females and 12 males from the
Burlington Growth Centre who had either no orthodontic treatment or only minimal early
preventive treatment discontinued several years pnor to the period under study.
Lateral cephalograms of the treatment group were available at three distinct times:
pre-treatment (Tl), at the end of active treatment (T2), and two years post-treatment (T3).
Serial radiographs of the control group available at 12, 14 and 16 years of age corresponded
weil with these three times for purposes of cornparison.
The following inclusion cnteria applied to both samples:
1. Class II molar and skeletai relationship with AM3 angle greater than 3 O .
2. Ove jet at the central incisors greater than or equal to 4 mm as measured
from the pretreatment 1 12 year (T 1) radiograph.
3. Mandibular plane angle to Frankfort Horizontal less than or equal to 23 O .
4. No extractions of permanent teeth for orthodontic purposes.
5. Lateral cephalograms available with teeth in maximum intercuspation at three
times: pre-treatment / 12 years (T 1 ), end of treatment / 14 years (T2), and
two years post-treatment 1 16 years (T3).
Methods
The lateral cephaiograms were traced on matte acetate fiIm with a 0.5 mm HB lead
mechanical pencil and digitized with the RMO JOEa program. Calculation of the majority
of the measurements of skeletal morphology depicted in Figures II and III and defined in
aJifQ Orthociontic Evaluation. Version 5.0. RMO Diagnostic Services. 1996.
Appendix B was carried out by the JOE program, accurate to *O. 1 O and *O. 1 mm for angular
and linear measurements respectively. The upper facial height (UFH), upper dental height
W H ) , and lower dental height (LDH) were measured directly &om the acetate tracings with
electronic calipersb accurate to IO.0 1 mm and reported to the nearest tenth of a millimeter in
the result tables.
Data for seven angular and six lineu measurements for each cephalogram were
entered into the SPSSc program for calculation of dflerences over the time intervals Tl to
T2, T2 to T3, and T l to T3. Statistical analysis was then carried out with the SPSS program
to determine the means and standard deviations of the cephdometric parameters at T 1, at T2,
and at T3, and also the means and standard deviations of the differences or changes over time:
from Tl to T2 corresponding to the active treatment phase; from T2 to T3 corresponding to
the post-treatment or retention phase; and fiom Tl to T3 corresponding to the overall
treatment and retention period.
The comparison of means between females and males in the control group and females
and males in the treatment group was carried out as a t-test for independent sarnples for each
ofthe cephalometric measurements at Tl, T2, and T3, and for their calculated changes in the
intervals T l to T2, T2 to T3, and T l to T3. A t-test for independent sarnples was also used
to compare means between females in the control and treatment groups, and between males
in the control and treatment groups for each of the sarne cephalometnc parameters.
The critical p value for statistical significance for comparisons of cephalometric
measurements was set using the Bonferroni adj~strnent'~ of the usually accepted p s 0.05.
In this case 0.05 was divided by 13 (the number of interrelated cephalometric measurements)
to give a value of 0.0038. Statistical significance was achieved if p s 0.003 when multiple
statistical comparisons were performed.
The SPSS program was also used to calculate the mean ages at Tl, T2, and T3, and
the means of the intervals T 1 to T2, T2 to T3, and Tl to T3 for the females and males in the
bMirutoyo Digimatic Caiiper. # 5 0 - 197. MI1 Corporation, lapan.
'SPSS for MS WiNDûWS, version 6.1.3.
control and treatment groups. Digerences between control and treatment groups were teaed
for statistical significance using t-tests.
Analysis of covariance (ANCOVA) was used to analyze the contribution of covariates
on treatment effect. Covariates were those variables that showed statistically significant
differences between the treated and non-treated groups for initial (T 1 ) cephalometric values.
Al1 radiographs were traced and digitized by the same operator. Outlines of bilateral
images were bisected except in the case of central incisors where the most antenorly
protmsive tooth was traced.
An error study was carried out to assess the meanirement error of tracing and
digitking cephalograms. Thirty lateral cephalograms (T 1, T2, and T3 radiographs of ten
randomly chosen subjects, 5 female and 5 male) were traced and digitized a second time a
month after the original tracings were done. The rneasurement error was caiculated according
to the formula for standard e r r o r based on the 30 duplicate values as follows: S = m2/2n
where d is the difference between the pairs and n is the number of pairs.
RESULTS
Idormation on initial age and elapsed t h e intervais between radiographs is presented
in Table 1. Male treated subjects comprised the oldest group with a rnean age of 154.1
months (1 2 years, 10 months) and femaie treated subjects comprised the youngest group with
a mean age of 139.8 months (1 lyears, 8 months) at the start of the study. The mean ages for
the female and male control groups were quite consistent, 145.6 months for females and
144.9 months for males. The mean age of the treated males was about 9 months older than
the control males, enough of a dBerence to be statistically significant @ = 0.003). The half
year (5.8 months) dflerence in mean age between treated females and control females did
not quite achieve statistical significance ( p = 0.057).
Statistical evaluation of the Tl to T2, T2 to T3, and T l to T3 mean time intervals
showed a significant difference for the T 1 to T2 intervai between control females at 2 1.6
months and treated females at 27.8 months. No other interval cornparisons showed
statistically significant differences with p s 0.05.
Comparisons of the means of the initial cephalometric values between females and
males identified several çtatistically signuicant differences (Table II). Treated females differed
from the treated males in three linear measurements: antenor face height (1 08.6. mm to 1 1 8.0
mm), upper face height (50.0 mm to 54.1 mm), and upper dental height (25.6 mm to 28.9
mm). Because of these observed differences females and males were analyzed separately.
Untreated females did not differ in a statistically significant manner frorn their male control
counterparts in any of the measurements.
Cornparisons of initial cephalometric means between control and treatment groups
(Table III) reveaied that females differed significantly in mandibular plane angle (2 1.1 O to
1 7.5 O) and in maxiilary incisor angulation to SN plane (1 0 1 -6 O to 1 1 1 -8 O ) and that males
differed in upper face height (50.8 mm to 54.1 mm). The effect of these initial merences on
changes during Tl to T2 and Tl to T3 was tested by analysis of covariance. Age at Tl was
also included as a covariate for the males because of the significant difference in age between
control and treatment groups.
Changes in cephalornetric values from Tl to T2 correspond to changes during the
period of orthodontic treatrnent in the treated subjects and were cornpared to changes in the
controls between ages 12 and 14. The diierences frorn T2 toT3 occurred during the post-
treatment or retention period in the treatment group and between ages 14 and 16 in the
control group. Overall dserences fiom Tl to T3 reflect the combined changes d u ~ g
orthodontic therapy and during retention for the treatment group and the changes over 4
years from age 12 to 16 for the control group (Table IV and Table V).
SNA angie decreased during Tl to T2 in a statisticaily significant rnanner in both
female and male treatment groups (2.0" and 1.2" respectively), increased slightly during T2
to T3 (0.4" and 0.2"), and resulted in net decreases from T 1 to T3 of 1.6 O for the females and
1.0 O for the males. The change for the treated females was statistically significant compared
to the control group, while that of the males was not.
S M 3 angle changes were not significantly Werent for any group dunng any interval
although SNI3 increased 0.7" for the control group males and decreased O.ZOfor the treated
males during Tl to T2 @ = 0.004).
The ANI3 angle decreased 2.3' in the female treatment group during Tl toT2, then
increased slightly from T2 to T3. The net ANB change from T l to T3, a decrease of 2.1 O ,
was statistically significant compared to the controls who exhibited a mean decrease of O. 1 O .
The mean mandibular plane angle (MP) decreased over al1 time intervals for al1 groups
except from Tl to T2 for the treated males. During that interval it increased 0.5" for the
treated males and decreased 1 .5" for the control group males, a statisticaily significant
dserence of 2.0". From T2 to T3 the M . decreased more for the treated males than the
untreated controls. The difference in TI to T3 change in MP between treated and untreated
males (1 .2 " difference of means) was not statistically significant .
Facial axis angle (FA) changes were statistically significant for the male treatment
group compared to the control group for both Tl to T2 and Tl to T3. FA decreased dunng
treatment and increased during the post-treatrnent period of the treatment group males, while
it increased through both intervals for the control group. The 1.9' difference of means
between treated and untreated males in the T 1 to T2 interval (- 1.2 O to 0.7") increased slightly
to 2.0' ( -0.7" to 1.3 ") for the interval Tl to T3.
Female and male treatment groups both showed statistically si@cant differences in
the increases in anterior face height (ARI) compared to untreated control groups for the Tl
to T2 interval but not for the T2 to T3 or Tl to T3 intervais. The difference of the means for
the females for T 1 to T2 of 2.8 mm decreased to 2.2 mm for the overall interval T 1 to T3,
and the corresponding values for the males decreased from 3 -6 mm to 1 .O mm.
A very sirnilar pattern was observed for Iower face height ( L w increases. Female
and male treatment groups had T l to T2 changes that differed in a statistically sipflcant
m m e r compared to their respective control groups. Because of greater increases in the
control groups during T2 to T3, a statisticaliy significant difference between control and
treatment groups was not maintained through the entire Tl to T3 interval. For the females
a difEerence of means between treated and untreated groups decreased fiom 1.8 mm for the
Tl to T2 interval to1.2 mm. for the Tl to T3 interval, while for the males the dzerence of
means decreased fiom 3.0 mm to 1.6 mm for the same intemals.
Upper dental height W H ) and upper incisor angulation to SN plane (ISN) both
differed in a statistically significant manner between female treatment and control groups in
the Tl to T3 interval. UDH increased an average of 1.5 mm more for the female treatment
group than for the control group and mean upper incisor angulation decreased 8.0" in the
treated females, while it increased a minimal O. 1 " in the untreated females for a difference of
8.1".
Lower incisor angulation to mandibular plane (IMP) exhibited significant ciifferences
between male treatment and control groups for intervals Tl to T2 and Tl to T3. The
dserence of the means of 5.5" (4.9" to -0.4") decreased slightly to 4.7" (4.0" to -0.7") but
maintained statisticai significance, indicating a fairly stable proclination of mandibular incisors
with treatment.
Results of the analysis of covariance are shown in Table VI. The difference related
to change in ISN in females between treated and control groups for the overail treatment and
retention penod (TI to T3) was found to be significant @ = .001) using a t-test. When the
initial ISN values were taken into account, this difference disappeared. The differences in
ISN at Tl accounted for the observed dinerences in ISN change from Tl to T3. In
orthodontie terrns, the teeth that were more proclined at the stari of treatment changed the
most and the treated group had more prociined maxi11ary incison on average.
The results of the error study are listed in Table W. shown as the standard error for
each cephdometric measurement, deterrnined from 30 double measurernents. The standard
mors for the six tinear meanires are quite consistent and ail fdl within 0.1 mm of each other,
from 0.36 mm to 0.45 mm, while the standard errors of the angular measures are more
disparate. SNA, SNB, ANB, and FA al1 have similar standard errors, ranging from 0.24" to
0.34". but MP, ISN, and IMP have considerably larger SE values, 0.70". O.86", and 1 -36"
respect ively .
DISCUSSION
The chief aim in this study was to investigate the effects of non-extraction, 6xed
appliance orthodontic treatment in a group of low mandibular plane angle Class II, Division
1 patients. Skeletal and dental changes were assessed using serial lateral cephalogram.
Comparisons were made to untreated subjects of similar age and skeletal and dental pattern
in an effort to be able to discem treatrnent effects ftom changes related to normal growth.
Horizontal Skeletal Changes
The first noted, and perhaps most hoped for, effect was the decrease in SNA
experienced by both females and males. Extraorai force was applied to the maxilla in nearly
every case, rnost ofken in the form of cervical traction headgear, although requested hours
of wear, force application, and general cornpliance varied. A decrease in SNA had the same
net effect on ANB since SNB remained relativeiy unchanged for the treated females and
males. Skeletal Class II malocclusions can exhibit maxillary protrusion ~ i t h ' " ~ ' or withoutl*'
mandibular deficiency and in these patients growth modification was directed at the maxilla,
with restraint of maxillary growth and retraction of rnaxillary incisors a top prionty. The
magnitude of change in SNA (about 2" in females) was in very close agreement to values
reported in other s t ~ d i e s . " " ~ ~ ~
Although SNB changes were not dramatic in any interval, the control group males
experienced a cumulative increase of 1.1 " over 4 years of growth with the same net decrease
of ANB, SNA rernaining relatively constant. This finding is stnkingly sirnilar to Carter's3
observed changes in untreated Class 4 Division 1 males. In contrat, the treated males made
only srnail net gains in SNB with their 1.4" decrease in ANB largely attributable to the
decrease in SNA. Two explanations for this difference in trends are plausible: the untreated
males were considerably younger on average than the treated males and therefore had more
incremental mandibular growth lefi; and the orthodontic treatment afTected the B point
position, most likely by rotating the rnandible down and backward as previously r e p o ~ t e d . ~ - " ~ ~ ~
Vertical Skeletal Changes
Mandibular plane angle (MP) and facial axis angle (FA) are related to the position of
the mandible, as are posterior face height (PFH) and anterior face height (AFH). Vertical
changes cm occur in the face without affecting the general orientation of the mandible and
thus both MF and FA may remain unchanged, while increased dimensions can be noted for
PFH and AFH. Most oflen though, changes in mandibular position are reflected by changes
in al1 four measures. Conversely, changes in any or al1 of these measures can also be caused
by changes in other parts of the head and face.
Treated males and females both showed a trend to less counterclockwise rotation of
the mandible (viewed fiom the right) than the controls dunng the treatment phase. The males
actually increased MP slightly (0.5 O ) dunng treatment, then revened rotation of the mandible
dunng the retention phase (-2.0°), ending with only slightly less reduction of MP than the
controls. Mandibular plane changes of this type were reported with headgear treatment
alone"16 and also in fidi fixed appliance treatment".". Changes in FA roughly paralleled Ml?
changes but inversely; increased MF correponded to decreased FA and vice versa. It is
interesting to note that the difference in change in FA for treated males remained statistically
significant for the overall Tl to T3 period, while M . change did not. The distinction is that
MP ultimately decreased in the treated males, much as the controls did, while FA also
remained decreased overall in the treated males but increased in the control males. Ricketts9
reported that use of neckstrap or inter-maxillary elastics opened the XY axis (Y axis, sella-
gnathion, measured as an angle to basion-nasion line) on average - 1 .O0. similar to the FA
change seen in the treated males. The 2.0" decrease of MP during the post-treatment period
with only minimal increase of FA (0.5 O) indicates that the mandibular border rotated counter-
clockwise, but the symphysis of the rnandible grew mostly downward and forward with less
horizontal projection of the chin for the treated males than their controls, corroborating the
findings related to SNB discussed above. Treatment in the males rotated the mandible down
and back and post-treatment growth re-established lower mandibular border orientation
without increasing horizontal chin projection.
The geometric relationship of PRI and AFH to MP is self-evident in that the two
former measurements terminate at landmarks that define the latter. A change in proportions
of PFH to ARI is directly related to change in MP as long as the Fraddort Horizontal (RI)
plane is unchanged in angulation to the S-N plane. Thus, as can be seen fiom Tables IV and
V, both treated females and males had p a t e r changes in AFH than PFH compared to their
respective control groups during Tl to T2. This trend distinctly reversed during T2 to T3
with PFH increasing more than AFH for the treatrnent groups, but with PFH and ARI
changes very similar to each other in the control groups. These data provide confhation
that the treated males and femaies experienced AFH increases that, in conjunction with
incrementaily smaller PFH increases, caused the mandible to rotate downwards and
backwards (clockwise) during treatment, then rebound back &er active treatment was ended.
It is particularly noteworthy that the proportion of PFH changes to AFH changes
fiom Tl to T3 was 1 : 1 for al1 treatment and control groups. Treated groups had slightly
larger increases than their control counterparts, but not at statistically significant Ievels and
males exceeded females overall simply because of larger physique. There are at least two
implications of such well baianced PFH and AFH increases over the entire T 1 to T3 interval.
The first is that angulation of the mandible in the face is perhaps better measured relative to
S-N plane than to the FH plane, partly because landmark identification is easier and more
consi~tent'~, but also because relating upper and lower limits of the growing face (ie. anterior
cranial base to lower border of the mandible) seems conceptually more valuable than relating
the lower Iimit to an intemal plane variably afTected by growthM and which in clinical terms
often poorly approximates horizontal orientation of natural head posture. Secondly, the data
in this study indicated that MP decreased in differing amounts over time in ail treatment and
control groups, an observation of rnandibular rotation descnbed by ~jorl?'. Yet the PFH and
AF'H increases within each group were so consistently alike at the end of the post-treatment
period as to suggest that compensatory growth mechanisms may have played a role in
ultimately maintainhg the orientation of the lower border of the mandible to the anterior
cranial base. Baumrind et dg ciaimed to be the first to make "this observation of the
geometry for maintainhg constancy of the mandibular plane angle". They found that in the
ceMcai treatment group rarnus height and anterior face height both increased significantly
compared to the control group, essentially keeping mandibular plane orientation unchanged.
AFH changed sigruficantly in both females and males during the treatment penod
(Table VI) and treatment groups differed considerably in age fiom control groups. Nanda3""
noted that females tended to have their adolescent growth spurt before males and that short-
face subjects experienced their pubertal growth spun later than long-face subjects. Changes
in ARI may thus have been affected by individual timing and growth variations of adolescent
growth spurts. Did younger females and older males outgrow their 12 year old control group
counterparts? The treatment group females also had a longer Tl to T2 interval during which
to expenence both growth and treatment effects. Treatment group males were significantly
older than the control group and aiready had larger AFH dimensions at the start of treatment.
Certainly it would seem that the catch-up of AFT3 change for control group males during T2
to T3 (age 14 to 16) could be partly attributed to a growth surge in the younger group as
both their PFH and AFH changes outpaced the treated males.
Perhaps the most revealing parameter of treatment effect was the lower face height
( L m measurement. Initiai pre-treatment values were very similar for al1 groups except for
the older, and presumably bigger, treatment group males. During the treatment period UFH
changes were numencally similar between treatment and control groups while LFH changes
differed for both males and females. n?is is an acceptable and logicai finding since the focus
of orthodontic treatment, the dentition, is located in the lower face. The farniliar reversai
trend of the T2 to T3 interval, not statistically significant by itself, was enough to reduce
statistical significance of the differences in LFH of the treated groups over the total Tl to T3
interval.
LFH changes were indeed the greater component of AFH changes which in tum
directly affected MP and FA values. Significant differences in skeletal vertical changes were
thus at least partly caused by orthodontic effects on the dentition.
Dental Changes
The parameters that were used in this study to evaluate dental changes focused on the
anterior dentition. Incisor changes are of considerable interest to orthodontists and patients
alike when dealing with Class LI, Division 1 maiocclusion. Upper dental height (UDK) and
lower dental height (LDH) are reasonable divisions of LFH and the difference between LFH
and the sum of UDH and LDH is a good approximation of depth of bite &RI - (UDH +
LDH) = OB). However, UDH and LDH changes were affected by vertical alveolar growth
changes, dental extrusion or intwion, and angular changes brought about by dental tipping.
Evaluation of incisor angulation changes in conjunction with dental height changes helped
elucidate orthodontic effects on the incisors.
Femaies and males showed a relatively large decrease in mean maxillary incisor
proclination with treatment, while only the males exhibited a sizeable mean increase in
mandibular incisor proclination. Individual variation was considerable, especiaily for upper
incisor angulation to S-N plane (ISN).
The initial ISN was a significant covariate for overall Tl to T3 ISN change in the
females (Table VI); those with the most proclined incisors would be expected to need the
greatest correction and the female treatment group was significantly worse initially with
respect to incisor angulation than the female controls. Many of the original femde patients
in the Burlington Growth Centre snidy who had significant onhodontic problerns received
treatment, therefore biasing the untreated control çample toward less severe cases. With a
better matched control group, one in which mean ISN was very similar to the treatment group
initially, the change with treatment could well have been the sarne in which case the results
of ANCOVA would likely have indicated statistical significance based on treatment aione.
UDH increased concurrently with ISN decrease in treated femaies, indicating that
orthodontic tipping of incisors can affect their relative length. According to treatment
records, intrusive orthodontic forces were used in most cases to counter the lengthening
effect othenvise the mean dserence might have been greater than 1.5 mm. Similarly, in the
treated males the LDH showed slightly smaller but not statistically significant increases than
in the controls (a relative decrease) as the MP increased. Relative intrusion of lower incisors
is often necessary to level the curve of Spee that can be quite marked in low angle Class iI,
Division 1 malocclusion cases. In both females and males the lack of significant differences
in LDH between treated and untreated groups concurrent with significant differences in LFH
during Tl to T2 suggests that not much tme intrusion of lower incisors took place. The
increased eruption or extrusion of posterior teeth was the more u d rnethod of levelling the
mandibular dentition, thereby affecthg Lm AFH, MP and FA.
The pattern of anterior dental changes fits well with the obsewed skeletal changes in
the treated groups. Females showed greater change in SNA and thus also ANB, partly
attributable to retraction of severely proclined incisors as well as possible inhibition of
fomard maxillary growth. Orthodontic effects on the maxillary dentition reduced incisor
anguiation while increasing relative incisor length. Correction of the skeletal Class II
relationship and ove jet reduction was achieved primarily with effects to the rnaxilla and its
teeth, making it unnecesçary to proche or advance the mandibular dentition. Males on the
other hand experienced less success with maxillary traction with smaller reduction of SNA
and ANB. Dental extrusion or eruption lead to bite opening effects causing downward and
backward mandibular rotation and reduced chin projection. Ovejet reduction was
accomplished by retroclining maxillary incisors and by advancing the mandibular dentition.
Many of the effects observed in the treatment groups were sirnilar to those found in
a previous study in which treatment effects on hi& mandibular plane angle Class II, Division
1 patients were investigated." The results of the high angle study indicated that orthodontic
treatment increased antenor face height and in particular the lower face height, but postenor
face height growth did not keep Pace with the anterior increases. Mandibular plane angle
increased and facial axis angle decreased, indicating a downward and backward mandibular
rotation. Dental changes included maxillary incisor retraction and mandibular incisor
proclination but antero-postenor skeletal correction was deemed to be minimal.
Clinically, the most relevant difference between the low and high mandibular plane
angle patients is the ability of low angle patients to tolerate or even benefit fiom, in terms of
facial esthetics, an increase in lower face height. A short face with a deep bite is readily
improved by opening the bite, and thereby lengthening the lower face, but a long face can be
worsened in appearance by bite-opening effects and treatment must be p lmed accordingly.
Isaacson et al." recommended ceMcal headgear with a high outer bow as an ideal
force system for low angle, deep bite patients but warned that it would be contraindicated for
high angle patients since molar extrusion, while favourable in low angie cases, would be
undesirable in high angie ones. The preferred treatment for high angle patients was high pull
headgear with a short outer bow that would exert an intrusive force to maxillaq molars.
Further control of vertical parameters was suggested; in low angle, deep bite patients, reverse
cuves in archwires, full-arch banding including second molars, and intemaxillary elastics that
cause posterior extrusion are reasonable treatment. In high angie patients with open bite
tendencies it is better to Ieave some occlusal curve in the archwires, to leave second molars
unbanded, and to avoid use of intermaxillary elastics. The ability to control vertical facial
growth through orthodontie mechanotherapy is the key to producing good results in patients
with severe vertical skeletal pattern discrepancies.
SUMMARY AND CONCLUSIONS
Senal laterd cephalograms were used to compare facial changes in 36 non-extraction
orthodontically treated subjects and 24 untreated control subjects. Treatment and control
groups exhibited Class II, Division 1 dental and skeletal characteristics with a low mandibular
plane angle. The findings of the study may be surnmarized as foilows:
SNA decreased with treatment in both femdes and males, while SNB remained
relatively unchanged.
SNA and AM3 decreases at the end of the cornbined treatment and retention
penod were statistically significant only for females.
Males experienced a statistically significant increase in rnandibular plane angle and
a decrease in facial axis angle with treatment; oniy the decrease in facial axis angle
rernained si@cant at the end of the combined treatment and retention period.
Lower anterior face height and consequently also total anterior face height were
increased with ?reatment in females and males. By the end of the combined
treatment and retention penod postenor and anterior face height changes had
equalized.
Lower incisors were proclined during treatment in the males and remained proclined
at the end of the combined treatment and retention period.
In females, maxiIlary incisors were uprighted by retraction that increased upper dental
height. The effect initiated with treatment increased during the retention period to
become statistically significant over the combined treatment and retention perîod.
Considerable variation was observed in changes of the cephalometric measures but the
correction of Class II, Division 1 malocclusion was achieved in a slightly different manner for
females than for males. On average, the inhibition of horizontal maxillary growth and
retraction of proclined incisors was more pronounced for the females. The males experienced
greater relative posterior mandibular rotation ffom bite opening effects that increased antenor
and particularly lower face height. Decreased chin projection necessitated increased
mandibular incisor proclination to achieve desired overjet reduction. Appropriate
mechanotherapy was used to correct horizontal and vertical skeletal and dental discrepancies.
Table 1. Means and standard deviations of initial age and three intervals, in months, for control and treatment group females and males
Initial age
TI to T2
T2 to T3
Tl to T3
Females 1 Treatment
group (n = 18)
Males
t-test I .-
Control Treatrnent 1 t-test 1 Contra1
46.7 3.6 1 51.8 10.9 1 .O78 1 48.5 1 . 1 * les than critical p value, p r 0.050
(n = 12)
Mean / SD
145.6 3.7
(n = 18)
Mean j SD
139.8 11.3
y value
.O57
(n = 12) . Mean i SD
144.9 1.0
Table IL Means and standard deviations of initial cephalometric values compared between fernaies and males in control and treatrnent groups
SNA
SNI3
ANB
MP
FA
PFH
AFH
UFH
LFH
UDH
LDH
ISN
ma?
Control Group
Males (n = 12)
t-test
p value
Treatment Group
Females ( n = 18)
Mean ! S D
Males (n = 18)
t-test
p value
.O38
-285
.O13
.O53
.O15
.O09
-000'
.O0 1 *
.O04
. OOO*
.O04
.307
-166 *less than cnticai p value, p < 0.003
Table IIL Means and standard deviations of initial cephalometric values compared between control and treatment groups for femaies and males
SNA
Sm
ANS
MP
FA
PFH
AFH
UFH
LFH
UDH
LDH
ISN
IMP
Control W'UP
(n = 12)
Mean i SD 84.6 3.7
79.0 2.7
5.5 1.9
21.1 2.3
91.4 1.8
74.7 3 .6
109.1 2.9
50.9 2.4
61.0 2.5
26.8 1.9
3 8 . 2 1.7
101.6 7.7
102.2 4.3
- -
Treatment P U P
(n = 18)
Mean j SD
t-test
p value
- - -
Control P U P
(n = 12)
Mean j SD
Males
Treatment P U P
(n = 18)
t-test
p value - .120
-277
. I52
-253
.O30
.O16
.O04
-001"
-101
-328
.O 17
.242
.73 1 *less than cntical p value, p r 0.003
Table VI. Analysis of covariance for selected outcorne variables
Cephalometnc
Female MP Tl toT2
Female MP Tl toT3
Female ISN TI toT2
Female ISN TI to T3
Male UFH 11 TItoT2
t-test p value
-143
-378
.O09
.001*
.450
.146
- -
Covariate (Initial value)
MP
M P
ISN
ISN
UFH, Age
UFH, Age
ANCOVA p value
.357
.56 1
.562
.20 1
.602
.506
* less t han cntical p value, p s 0.003
Table VIL Standard error of measurernents
S.E. = a d 2 / 2 n , n = 30
Angular (degrees) : SNA
SNB
ANB
ME'
FA
ISN
IMP
Linear (mm) Pm
AFH
UFH
LFH
UDH
LDH
Standard error
Figure 1 : Lateral cephaiometric landmarks
Figure 2: Angular cephalomeîric measurements
1 . SNA 5. Facialaxisangle 2. S N B 6 . Upper incisor to S-N plane 3 . ANB 7. Lower incisor to mandibular plane 4. Mandibulu plane angle
Figure 3: Linear cephaiometric measurements
1 . Posterior face height 2. Anterior face height 3. Upper face height
4. Lower face height 5. Upper dental height 6. Lower dental height
Appendix A: Definitions of cephalometnc landmarks and planes
A point (A)
Anterior Nasal Spine (ANS)
Articulare (Ar)
B point (B)
Basion (Ba)
Gnathion (Gn)
Gonion (Go)
Iderior Gonion (IGo)
Menton (Me)
Nasion (N)
Orbitale (Or)
Pogonion (Pg)
Porion (PO)
Posterior Nasal Spine PNS)
Landmarks
The most posterior point on the curve of the antenor maxilla.
The most anterior point ofthe maxilla at the lower margin of the anterior aperture of the nose.
The point of intersection of the infenor surface of the cranial base and the posterior surface of the mandibular condyle.
The point most posterior to a line from the crest of the alveolus to pogonion on the anterior surface of the symphyseal outline of the mandible.
The most infenor, postenor point on the anterior margin of forarnen magnum.
The most anterior and inferior point on the contour of the bony chin symphysis. Determined by drawing a line from pterygoid point to the intersection of the mandibular plane and a line through nasion and pogonion.
The point of intersection of the mandibular plane and a line through articulare and tangent to the mandibular ramus inferior to it.
A point tangent to the inferior border of the mandible located on the gonial curve.
The most inferior point on the symphyseal outline.
The junction of the fiontonasal suture at the most postenor point on the curve of the bridge of the nose.
The lowest point on the average of the right and Iefi borders of the orbit.
The most antenor point on the symphysis of the mandible determined by a line from nasion tangent to the symphysis.
The most superior point of the bony extemal auditory meatus.
The most posterior point of the bony hard palate.
Appendir A: Definitions of cephalometric landmarks and planes cont'd.
Pterygoid point (Pt)
Sella Turcica (S)
Basion-Nasion plane (Ba-N)
Frankfort Horizontal (FH)
Mandibular plane (MP)
Sella-Nasion plane (S-N)
The intersection of the infenor border of foramen rotundum with the posterior wail of the pterygomaxillary fossa.
The center of the piniitary fossa of the sphenoid bone as determined by inspection.
Planes
A line joining basion and nasion.
A line joining pterygoid point and gnathion.
A line joining porion and orbitale.
A line joining inferior gonion and menton.
A line joining sella turcica and nasion.
Appendix B: Definitions of angular and linear cephalornetric measurements
Anmlar Measurements
SNA
SNB
ANB
MP
ISN
PF'H
AFH
UFH
LFH
UDH
LDH
The angle formed by the points Sella - Nasion - A point.
The angle formed by the points Sela - Nasion - B point.
The angle formed by the points A point - Nasion - B point.
Mandibular plane angle: the angle formed by the intersection of the mandibuiar plane and the Frankfort Horizontal plane.
Facial axis angle: the iderior angle formed by the intersection of the Basion-Nasion plane and the line through pterygoid point and constructed gnathion.
Upper incisor to S-N: the postenor angle formed by the intersection of the long axis of the most prominent maxillary incisor and the Sella- Nasion plane.
Lower incisor to mandibuiar plane: the postenor angle formed by the intersection of the long axis of the most prominent lower incisor and the mandibular plane.
Linear Measurements
Posterior face height: sella to constmcted gonion.
Anterior face height: nasion to menton.
Upper face height: nasion to anterior nasal spine.
Lower face height: anterior nesal spine to menton.
Upper dental height: linear distance from the incisal edge of the maxillary central incisor to the palatal plane dong a perpendicular to palatal plane.
Lower dental height: linear distance fiom the incisal edge of the mandibular central incisor to the mandibular plane dong a perpendicular to mandibular plane.
Appendix C: Control and treatment groups
Burlington Growth Centre
Patient Chart Number
Female Male
44 409
257 615
423 804
482 865
571 877
806 897
840 954
847 1 085
848 1144
942 1316
1024 2523
1363 2561
University of Western Ontario
Orthodontie Patient Chart Number
Female Male
88 21
97 197
184 538
417 634
420 678
447 849
480 889
48 1 89 1
682 945
683 1141
739B 1189
1018 1335
1101 1376
121 1 1477
1443 1509
1537 1541
1632 1677
1633 1679
REFERENCES
Rothstein TL. Facial morphology and growth fiom 10 to 14 years of age in children presenting Class II, Division 1 malocclusion: A comparative roentgenographic cephaiometnc study. Am J Orthod 197 1 ;6O:6 19-20.
Hitchcock HP. A cephalometric description of Class Il, Division 1 malocclusion. Am J Orthod 1973;63 :4 14-23.
Carter NE. Dentofacial changes in untreated Class II Division 1 subjects. Br J Orthod 1987;14:225-34.
Karlsen AT. Craniofaciai morphology in children with Angle Class 11- 1 malocclusion with and without deepbite. Angle Orthod 1994;64:437-46.
Rosenblum RE. Class II maloccusion: mandibular retnision or maxillary prouusion? Angle Orthod 1995;65:49-62.
Bishara SE, Jakobsen IR, Vorhies B, Bayati P. Changes in dentofacid structures in untreated Class II division 1 and normal subjects: A longitudinal study. Angle Orthod 1997;67:55-66.
Pancherz H, Zieber Y Hoyer B. Cephalometric characteristics of Class II division 1 and Class II division 2 maiocclusions: A comparative study in children. Angle Orthod 1997;67: 1 1 1-20.
Ngan PW. Byczek E, Scheick J. Longitudinal evaluation of growth changes in CIass II Division 1 subjects. Sernin Orthod 1997;3 :222-3 1.
Ricketts RM. The influence of orthodontic treatment on facial growth and development . Angle Orthod 1 96O;3 0: 1 03 -3 3 .
Schudy FF. Vertical growth versus anteropostenor growth as reiated to function and treatment. Angle Orthod l964;M: 75-93.
Schudy FF. The rotation of the mandible resulting corn growth: Its implications in orthodontic treatment. Angle Orthod 1965;3 536-50.
Isaacson Isaacson RJ, Speidel TM, Worms FW. Extreme variation in vertical facial growth and associated variation in skeletal and dental relations. Angle Orthod 1971;41:219-29.
Wieslander L. The effect of orthodontic treatment on the concurrent development of the craniofacial cornplex. Am J Orthod 1963;49: 15-27.
Wieslander L, Buck DL. Physiologie recovery after cervical traction therapy. Am J Orthod 1974;66:294-3 0 1.
Melsen B. Effects of ceMcal anchorage during and after treatment: An implant study. Am J Orthod 1978;73:526-40.
Mills CM, Holman RG, Graber T. Heavy intermittent cervical traction in Class II treatrnent: A longitudinal cephalometnc assessment. Am J Orthod l978;74:36 1 -79.
Baumrind S, Molthen q West EE, Miller DM. Mandibular plane changes during maullary retraction. Am J Orthod l978;74:32-40.
Baumrind S, Molthen R, West EE, Miller DM. Mandibular plane changes during maxillary retraction: part 2. Am J Orthod 1978;74:603-20.
Baumrind S, Korn EL, Molthen R West EE. Changes in facial dimensions associated with the use of forces to retract the maxiIla. Am J Orthod Z 98 1 ; 80: 1 7-3 0.
King E. Cervical anchorage in Class II, Division 1 treatment, a cephalometric appraisal. Angle Orthod 1957;27:98-104.
Moore AW. orthodontic treatment factors in CIass II malocclusion. Am J Orthod 1959;45:323-52.
Schudy GF. Postreatment craniofacial growth: Its implications in orthodontic treatment. Am J Orthod 1965;74:39-57.
Fischer TJ. The cervical facebow and mandibular rotation. Angle Orthod I98O;SO:54-62.
Glenn G, Sinclair PM, Alexander RG. Nonextraction onhodontic therapy: Posttreatment dental and skeietal stability. Am J Orthod Dentofac Orthop l987;92:32 1-8.
Cangialosi TJ, Meistrell ME, Leung MA, Ko JY. A cephalornetric appraisal of edgewise Class II nonextraction treatment with extraoral force. Am J Orthod Dentofac Orthop l988;93 :3 15-24.
Boecler PR, Riolo ML, Keeling SD, TenHave TR. Skeletal changes associated with extraoral appliance therapy : an evaiuation of 200 consecutively treated cases. Angle Orthod 1989;59:263-70.
Klapper L, Navarro SF, Bowman D, Pawlowski B. The influence of extraction and nonextraaion orthodontic treatment on brachyfacal and dolicofacial growth patterns. Am J Orthod Dentofac Orthop 1992; 10 1 :425-3 0.
Hubbard GW, Nanda RS, Currier GF. A cephalornetric evaluation of nonextraction ceMcal headgear treatment in Class II malocclusions. Angle Orthod 1 994;64 : 3 59-70.
Zaher AR, Bishara SE, Jakobsen JR. Posttreatment changes in different facial types. Angle Onhod 1994;64:425-36.
Parker CD, Nanda RS, Cumer GF. Skeletal and dental changes associated with the treatment of deep bite malocclusion. Am J Orthod Dentofac Onhop 1995; 1 O7:3 82-93.
Fidler BC, h n J, Ioondeph DR Little RM. Long-term stability of Angle Class II, Division 1 malocclusions with successfùl occIusaI results at end of active treatment. Am J Orthod Dentofac Orthop 1995; 107:276-85.
Elms TN, Buschang PH, Alexander RG. Long-term stability of Class II, Division 1 nonextraction ceMcal face-bow therapy: II. Cephaiometric analysis. Am J Orthod Dentofac Orthop 1 996; 1 O9:3 86-92.
Hulley SB, Cummings S R Designing clinical research: An epiderniologic approach. Baltimore: Williams and Wilkins, 1988: 136.
DahIberg G. Statistical methods for medical and biological students. London: George Men and Unwin Ltd., 1940: 122-3.
Baumrind S. Frantz RC. The reliability of head film measurements 1. Landmark identification. Am J Orthod 197 1 ;6O: 1 1 1 -27.
Moyers RE, Bookstein FL, Guire KE. The concept of pattern in craniofacial growth. Am J Orthod I979;76: 136-149.
Bjork A. Prediction of rnandibular growth rotation. Am J Orthod 1978;74:603-20.
Nanda SK. Patterns of vertical growth in the face. Am J Orthod Dentofac Orthop 1988;93 : 103- 16.
Nanda SK. Growth patterns in subjects with long and short faces. Am J Orthod Dentofac Orthop 1990;98:247-58.
Chan CT. Treatment effect on skeletai Class II high angle patients (thesis). London: Division of Graduate Orthodontics, Faculty of Graduate Studies, University of Western Ontario, 1994.
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