Growth
and Intellectual
Development
Darrell
M. Wilson,
MD, Lawrence
D. Hammer,
MD,
Paula
M. Duncan,
MD,
Sanford
M. Dornbusch,
PhD,
Philip
L. Ritter,
PhD,
Raymond
L. Hintz,
MD,
Ruth
T. Gross,
MD,
and
Ron G. Rosenfeld,
MD
From the Departments of Pediatrics and Sociology, Stanford University, Stanford, California
ABSTRACT. Data from the National Health Examina-tion Survey (cycles II and III) provided a representative sample of 13,887 US youths (6 to 17 years of age) with
which to examine the relationship between height
(nor-malized for age and sex) and measures of intellectual development (Wechsler Intelligence Scale for Children) and academic achievement (Wide Range Achievement Test). Additionally, 2,177 subjects were studied first in cycle II and 2 to 5 years later in cycle III, forming a well-selected longitudinal study group in which to examine any association between linear growth and change in IQ scores. Wechsler Intelligence Scale for Children and Wide Range Achievement Test scores were significantly correlated with height in both cycle II and cycle III. However, no significant association between change in relative height and change in IQ scores could be detected in the longitudinal group. These data suggest that ther-apies designed to increase height are unlikely to alter measures of intellectual development or academic achievement. Pediatrics 1986;78:646-650; IQ, growth, height.
The association between physical stature and
achievement has been the subject of a number of
interesting observations. Gowin’ showed that in
1916, within the same general area of employment,
those
in more prestigious positions were taller thanthose
in positions of lesser prestige. Since 1900, 17 of the 21 presidential elections have been won byReceived for publication July 10, 1985; accepted March 14, 1986.
Presented, in part, at the Society for Pediatric Research, 1984,
at the Serono Symposium-The Pyschosocial Aspects of Delayed
Growth, Oct 20, 1984, Washington, DC, and at the American Federation for Clinical Research, Western Section, Feb 7, 1985, Carmel, CA.
Dr Duncan’s current address is University Pediatrics, 1 5 Pros-pect, Burlington, VT 05401.
Reprint requests to (D.M.W.) Department of Pediatrics, 5-322,
Medical Center, Stanford University, Stanford, CA 94305.
PEDIATRICS (ISSN 0031 4005). Copyright © 1986 by the
American Academy of Pediatrics.
the taller candidate. Moreover, all but two
presi-dents since George Washington have been taller
than the average height for men of their time.2
These and other studies have suggested a more than
chance association between height and
achieve-ment. Furthermore, there is evidence that children
who mature more rapidly than average have higher
IQ scores.3’4
In this study, we examined data from a national survey to determine whether an association exists
between height and intellectual development and academic achievement in children and adolescents.
We also examined a large longitudinal subset of
these subjects to determine whether there is any
association between linear growth and change in
IQ scores. We chose this recent large-scale survey
because its excellent anthropometric measures and
data on social background permitted extensive
analyses of the other factors that have been
re-ported to confound the relationship between height and intellectual development.
MATERIALS
AND
METHODS
Cycles II and III of the National Health
Exami-nation Survey (NHES) were conducted during the
1960s by the National Center for Health Statistics to obtain health-related data from a national
prob-ability sample of the noninstitutionalized US
youth.5 During cycle II (1963 to 1965), 7,119
chil-dren, 6 to 1 1 years of age, were studied, and during
cycle III (1966 to 1970), 6,768 adolescents, 12 to 17 years of age, were studied. In both samples, exten-sive data concerning the intellectual, physical, and psychosocial status of each subject were collected.
Both samples were carefully stratified to represent
the target US population with respect to age, sex,
race, geographic region, population density, and
U, Ui 0 0 U, a 108 104 100 96 92 88 <5 5-25
1 1 years of age and first evaluated during cycle II,
were subsequently reevaluated 2 to 5 years later
during cycle III, resulting in a large, well-selected longitudinal study population.
To obtain an index of height normalized for age
(to the nearest month), we calculated the number of standard deviations each subject’s height differed
from the mean height for that age and sex: the Z
score for height. An index of relative physical ma-turity was calculated by dividing each subject’s bone age by his or her chronologic age. We estimated the
socioeconomic status of the subjects by using their
family income. Family income data (dollars per
year) was obtained by interview and then divided
into ten categories. For some analyses, the subjects
were divided into three income groups: <$5,000
(cycle II, n = 2,503; cycle III, n =
1,742), $5,000 to
$10,000 (cycle II, n = 3,103; cycle III, n = 2,619),
and >$10,000 per year (cycle II, n = 1,142; cycle
III, n = 1,912). Race was described as either black
or white. Number of children was estimated from
the NHES data as the number of children younger than 20 years of age residing in the household and
the birth order of each subject was estimated by
comparing the age of the subject to the other chil-dren younger than 20 years of age residing in the
household.
The vocabulary and block design subsets of the
Wechsler Intelligence Scale for Children (WISC)
were used to estimate intellectual ability, and the reading and arithmetic subsets of the Wide Range
Achievement Test (WRAT) were used as
approxi-mate measures of academic achievement. These IQ
tests were administered during both cycle II and
cycle III.
For each subject in the longitudinal sample, we
calculated the change in height Z score, WISC, and WRAT scores by subtracting the values obtained during cycle II from the values obtained during cycle III.
Statistical analysis was performed using the Sta-tistical Analysis System (SAS Institute, Cary, NC). Pearson’s product moment correlation coefficients
were used to detect relationships between variables. Multiple linear regression models (with stepwise addition of variables) were used to determine the relative contribution of different variables to the
WISC or WRAT score. Because of occasional
miss-ing values, summation of the number of subjects across subgroups within a given analysis may differ
slightly from the total number of subjects in that
group.
RESULTS
WISC and WRAT scores significantly correlated with the height Z score in both cycles II and III
WISC WRAT
Z:
nil..
-.
:C
1
, /I
/25- 75- >95 <5 5- 25 75 >95
75 95 25 75 95
HEIGHT PERCENTILE GROUPS
Fig 1. Relationship between height and Wechsler
Intel-ligence Scale for Children (WISC) and Wide Range
Achievement Test (WRAT) scores for entire sample di-vided into five groups based on height (normalized for age and sex). Mean and standard error of mean of IQ
scores are shown.
(cycle II, r = .18 height with WISC, r = .17 with
WRAT; cycle III, r = .20 with WISC, r = .19 with
WRAT; P < .0001 for each r value). This relation-ship is graphically illustrated for the subjects in
cycle III
in Fig 1. Mean IQ scores increased morethan 14 points from the shortest to the tallest
group. The correlations between height Z score and
WISC and WRAT scores persisted even when the
subjects were divided into subgroups based on their
sex, socioeconomic status, or race. The correlations between height and IQ scores were less among the
subjects with family incomes >$10,000/yr in both cycles II and III (cycle II, r = .08 with WISC (P < .05), r = .06 with WRAT (P < .05); Cycle III, r = .12 with WISC (P < .0001), r = .08 with WRAT (P
< .001)).
To determine the effect of other variables on WISC and WRAT scores, we developed series of
multiple linear regression models with WISC or
WRAT scores as the dependent variables and
fam-ily income, race, relative maturity (bone age to
chronologic age ratio), height Z score, family size, birth order, and an interaction term of family size and birth order as the independent variables. This
interaction term was calculated by multiplying
birth order and family size after subtracting the
sample mean from each variable.
The results of these models for boys and girls in
both cycle II and cycle III are shown in the Table.
In cycle II, socioeconomic status, race, family size,
and height Z score contributed significantly to the
models
for WISC and WRAT. In cycle III,socio-economic status, race, height, birth order, and
fam-ily size significantly entered the models. Relative
maturity and the interaction term of family size
and birth order did not consistently improve the
TABLE.
Multiple Linear Regression Models*Cycle and Variable Boys Girls
WISC WRAT WISC WRAT
R2 STD B R’ STD B R’ STD B R2 STD B
Cycle II
Family income .22 .342 .17 .310 .22 .340 .20 .343
Race .28 .236 .20 .168 .26 .217 .22 .167
Family size .30 -.144 .22 -.132 .29 -.214 .24 -.119
HeightZscore .32 .128 .24 .125 .30 .070 .25 .115
Birth order X .30 .060t
family size Cycle III
Family income .22 .357 .20 .337 .22 .350 .22 .353
Race .26 .207 .25 .223 .26 .226 .27 .247
HeightZscore .28 .138 .27 .127 .28 .145 .29 .127
Birthorder .29 -.084 .28 -.085 .29 -.115 .30 -.135
Family size .29 -.035t .28 -.035 .30 -.119 .30 -.147
Birth order X .30 .102t .30 .159t
family size
Bone age/chron- .30 .038t
ologic age
* R2, Cumulative R squared value; STDB,standard partial regression coefficients for each model; WISC, Wechsler Intelligence Scale for Children; WRAT, Wide Range Achievement Test. Overall, each model is highly significant (P < .0001, hypothesis F > 1). Each variable’s contribution is also significant (P < .0001, hypothesis F > 1, except where
marked otherwise).
tP.cz.05.
:1:In the model for WRAT scores, among the girls of cycle III, family size entered before
birth order.
no major differences noted between boys and girls. In all models, the height Z score contributed
signif-icantly (P < .0001) to the prediction of WISC and WRAT scores, accounting for approximately 2% of
the total variance found in IQ scores.
Whereas a correlation could be found between
height and IQ scores in subjects from both cycle II
and cycle III, no correlation existed between the
change in height Z score and change in either WISC
or WRAT scores (P > .2, Fig 2). The analysis was repeated using only those subjects whose initial
height Z score was less than the 1 SD below the
mean, and again, no correlation existed between height and IQ scores.
DISCUSSION
Several authors have related height and various
measures of intellectual functioning in normal pop-ulations. In 1892, Porter6 studied 33,500 students
and showed that taller, heavier pupils performed
better academically than did smaller students of the same age. Analysis of data from the Scottish
Mental Survey7 of 6,921 11-year old children born
in 1936 revealed a correlation between height and
IQ scores in both boys and girls (r = .24, boys; r =
.26, girls). Douglas et a18 also found a correlation
between height and IQ scores in 5,362 British
chil-dren born in 1946 (r = .14, boys; r = .12, girls). In
the Newcastle Upon Tyne study of 762 students born in 1947 and followed longitudinally until 15
years of age, Miller9 found significant correlations
between IQ scores and height. In a study by
Wein-berg et al.1#{176}of 334 children, 8 and 9 years old, in St
Louis, height correlated with IQ (r = .20). Scott”
reported a significant correlation between height
and IQ scores (r values ranged from .14 to .36) and
further noted an effect of family size on both height and IQ scores. Belmont et al’2 also reported that both family size and birth order interacted with height and IQ scores in a complex manner. Con-versely, Richards et al’3 found no association be-tween achievement scores and height in 481 seventh grade students.
There are other factors that have been associated with the results of intelligence testing and could
confound the small association between height and IQ scores found in these earlier studies. These
include socioeconomic status, race, the size of the
family, birth order, and the relative rate of physical
maturity. The extensive data obtained during the
NHES afforded a unique opportunity to analyze
the effects of these factors and, in our study of
nearly 14,000 subjects, a significant association
be-tween the height Z score and both WISC and
WRAT scores remains even after all ofthese poten-tially confounding influences are controlled for.
10.
5.
-15
- 20
-2.5 -1.5 -0.5 0.5 1.5 2.5
15-C
H
A
N
G E
N
H
C
S
C
0
R
E
CHANGE IN HEIGHT Z SCORE
Fig 2. Mean change (± 1 SD) in Wechsler Intelligence Scale for Children (WISC) scores V change in height Z score among subjects in longitudinal group. Overall mean increase in WISC scores from cycle II to cycle III of .716 has been removed. Similar plot using mean change in Wide Range Achievement Test scores was essentially identical.
effect of relative maturation on IQ scores. The
relative strengths of the variables in predicting IQ
score are slightly different in the two age groups. In particular, family size is a stronger predictor
than height in cycle II (ages 6 to 11 years), whereas
the converse is true in cycle III (ages 12 to 17
years). This finding may reflect the fact that our estimate of family size (which only includes persons younger than 20 years of age living in the subject’s
household) is a less reliable measure of family size
in the older subjects. However, when we repeated the multiple linear regression analyses using only subjects who had no siblings living out of the
house-hold, we obtained very similar results.
The association between height and these
imper-fect estimates of intelligence does not appear to be
limited to children and adolescents. Significant
cor-relations between height and intelligence have also
been detected in studies of adults (as reviewed by
Tanner4). Although these studies each have
meth-odologic flaws, they suggest that the association
between height and IQ in childhood persists into
adulthood and does not reflect transient differences
in relative physical maturity or growth.
Reasons for the association between height and
IQ scores remain unclear. Both of these parameters
may covary with another factor, such as subtle
alternative explanation is that, regardless of the biologic factors that contribute to stature, children
and young adults of varying height are treated
differently by others. Adults and peers may interact
differently with short children than they do with
tall children. Thus, the differences in WISC and
WRAT scores between short and tall children may
be, in part, the consequence of years of cumulative
adult height-biased expectations.
We have demonstrated a small, but statistically
significant, association between height and IQ in
both cycle II and cycle III of the NHES. However,
within the longitudinal subgroup, numbering more
than 2,000 subjects, no association between change in height and change in IQ score could be detected.
Taken together, these data imply that the processes that contribute to the association between height and IQ must occur relatively early in childhood, at
least before the age of the children studied in the
longitudinal sample.
This study also demonstrates that changes in
relative height between the ages of 8 and 13 years
do not significantly affect IQ scores. With the
avail-ability of virtually unlimited amounts of
recombi-nant DNA-derived human growth hormone for
clinical use, the possible effect of this therapy,
designed to alter height, on IQ scores becomes
particularly interesting. The results of this study
clearly indicate caution in any expectations of such
treatment. Until careful clinical studies examining
this issue have been completed, any effect of such
growth-promoting therapies upon intellectual
de-velopment or academic achievement must be
con-sidered unlikely.
ACKNOWLEDGMENT
This work was supported, in part, by funds from the
Stanford Center for Study of Youth Development and Father Flanagan’s Boys’ Home.
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