Original Contributions |
From the Wynn Department of Metabolic Medicine, Imperial College School of Medicine, London, UK.
Correspondence to Ian F. Godsland, PhD, Wynn Department of Metabolic Medicine, Imperial College School of Medicine, 21 Wellington Rd, London NW8 9SQ. E-mail i.godsland{at}ic.ac.uk
| Abstract |
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Key Words: factor analysis metabolic syndrome cohort study insulin high density lipoprotein
| Introduction |
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As yet, there appears to have been little attempt to quantify the metabolic syndrome or its clinical significance or even to determine to what extent it can be distinguished statistically as an independent entity.10 Traditionally, epidemiological analysis of risk factors for CHD and diabetes has been designed to isolate single independent risk factors from a series of candidate predictors for the disease in question. However, in the light of the manifold interrelationships that exist between potential risk factors,11 it may be of value to identify and quantify distinct clusters of metabolic disturbance and then determine whether the measure thus derived better relates to subsequent disease development. One technique that can help achieve this goal is factor analysis.12 13 In the present analysis, we have applied this technique to baseline information gathered in the course of a prospective study of risk factors for CHD and diabetes mellitus. Within a panel of potential risk factors, interrelationships are investigated that might indicate the existence of a distinct metabolic syndrome. Factor analysis is then used to determine whether a factor can be distinguished that can represent such a syndrome. A variety of different approaches may be taken in factor analysis, both with regard to the way in which the data set is selected and organized and in the type of factor analysis employed, but there has been little systematic exploration of how the approach taken might affect the results obtained. In the present study, a series of subanalyses has been undertaken to determine how consistently a given factor appears in different analyses.
| Methods |
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Subjects
The HDDRISC-1 study group comprised 742 senior staff of a
company with extensive transport and shipping interests. All are white
males. The majority are land-based business executives, but the cohort
also includes some senior seagoing staff (captain or chief engineer,
n=120). At their first visit, men were aged 26.1 to 70.5 years, with
BMI ranging from 18.9 to 46.9 kg/(m)2. Fourteen
participants (1.9%) were diagnosed as having CHD, as defined by
previous documentation of a myocardial infarction or angina,
coronary artery bypass surgery, coronary angiography
showing evidence of CHD, presence of electrocardiographic findings
consistent with a myocardial infarction (WHO criteria), or
treatment with antianginal medication. Twenty-eight participants
(3.8%) were diagnosed as having diabetes mellitus, as defined by a
previous diagnosis of diabetes mellitus, 120-minute OGTT plasma glucose
concentration >11.1 mmol/l, or treatment with hypoglycemic
medication.
Procedures
Studies were carried out in our metabolic day ward.
Participants were asked to consume more than 200 g/d carbohydrate in
their diet for 3 days before their visit, to have fasted for 12 hours,
and to have refrained from smoking on the morning of the test. Height
and weight were measured on arrival at 9 AM. A clinician
obtained a general medical history, including details of exercise
habits and alcohol and tobacco consumption. After the subject had
rested for 15 minutes in a semirecumbent position, systolic and
diastolic blood pressures were measured by a cuff method
with a mercury sphygmomanometer. First- and fifth-phase Korotkoff
sounds were recorded. A cannula was inserted into an antecubital
vein in one arm for sampling, the arm having been previously rested on
a heating pad to assist blood flow. Blood samples were taken for a full
blood count, measurement of hepatic, renal, and thyroid function tests,
fasting plasma glucose and insulin concentrations, and serum lipid and
lipoprotein concentrations. A further sample was taken for a second
measurement of fasting plasma glucose and insulin concentrations. Each
participant then underwent an OGTT. Glucose was given as 50% dextrose
solution as a chilled, flavored drink, at a dose of 1 g/kg body weight,
or 40 g/m2 for those over 120% of their ideal
body weight. Sampling for plasma glucose and insulin was at 30, 60, 90,
120, 150, and 180 minutes after ingestion of the glucose solution, and
the participant remained semirecumbent throughout the procedure. Before
leaving the day ward, a 12-lead resting ECG was obtained.
Laboratory Determinations
Routine hematological and biochemical parameters
were measured by standard laboratory methods. Glucose, insulin, lipid,
and lipoprotein measurements were undertaken in our own laboratory.
Plasma glucose was determined on the same day using glucose oxidase
procedures; until 1977, o-tolidine was used as
chromogen,14 and thereafter 4-aminophenazone was
used.15 Plasma insulin concentrations were
measured on samples stored at -20°C by using the radioimmunoassay
procedure of Albano et al.16 Until 1976,
serum total cholesterol was measured by a Lieberman
Burchard technique17 and
triglycerides were measured by the procedure of Cramp and
Robertson.18 Subsequently, fully enzymatic assays
were employed.19 20 Concentrations of HDL were
measured after separation by preparative
ultracentrifugation until 1984 and by sequential
precipitation with heparin/manganese ions
thereafter.21 Whenever there was a change in
methodology, extensive comparisons between methods were undertaken, and
annual cohort means were inspected for any discontinuity. The only
significant change found was in glucose values on adoption of the
method of Trinder.18 This discrepancy
necessitated addition of 0.42 mmol/L to all values before this
change to ensure comparability of glucose measures among all cohort
members. Within- and between-batch precision was monitored throughout
the study by using frozen plasma and serum pools and commercially
available lyophilized sera and by participation in national quality
assurance schemes.
Data Analyses
Members of the HDDRISC-1 study with preexisting CHD or diabetes
mellitus were excluded from the present analysis because
our concern was primarily with predictors of disease that would develop
in individuals who were healthy at baseline. Risk factor
interrelationships between 17 potential risk factor variables in
the first-visit data are considered here (Table 1
). These were selected from the full
range of measurements made, on the basis of previous evidence for their
involvement in the development of CHD or diabetes mellitus or because
they differed significantly between those who remained healthy and
those who on follow-up developed CHD or diabetes mellitus (results of
the 11.3-year clinical follow-up of the HDDRISC-1 study are to be the
subject of separate reports, as are the influences of lifestyle
characteristics, such as cigarette smoking, alcohol consumption, and
physical activity).
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Statistical analyses were carried out using the BMDP statistical package (BMDP Statistical Software Inc). Fasting plasma concentrations of glucose and insulin were taken as the mean of the two pretest samples. Incremental areas under the OGTT concentration profiles were calculated according to the formula: Incremental Area=[(MF/2)+C30+C60+C90+C120+C150 +(C180/2)]-[6xMF]
where MF is the mean fasting glucose or insulin concentration and C is the plasma concentration of glucose or insulin at the specified minutes during the OGTT. In the derivation of mean values, insulin measures and triglyceride concentrations were logarithmically transformed. For correlation and factor analysis, data were adjusted to the mean age of the cohort by using the univariate regression coefficient with age for each variable. Univariate Pearson correlation coefficients between variables were derived. In light of the number of correlations explored, univariate correlation significance values between .01 and .05 were considered borderline. Significant clustering of correlated metabolic disturbances was identified by factor analysis.
Factor Analysis
Factor analysis assumes that intercorrelations between
observed variables are influenced by a smaller number of
hypothetical underlying variables, termed factors, and allows
derivation of a score that not only reflects the magnitude of the
values of the individual measures that comprise the factor but also
reflects the strength of their
interrelationships.12 Factors are characterized
by the variables that, according to their so-called factor
loadings, most strongly correlate with the factor concerned. If a
factor explained all the variance in the data, it would be the only
factor extracted, and each of the variables considered in the
analysis would load on it with a value of 1. In practice, each
factor identified accounts for only a fraction of the total variance
(the percentage of the variance explained). Factor analysis
consists of two main steps: factor extraction and factor rotation. The
former step comprises the identification of linear combinations of
variables that account for the maximum proportion of the total
variance in the full set of variables. The latter step improves the
discrimination between factors and provides values for the factor
scores in each case. Various methods are available for performing each
step. In the present analysis, methods were applied that
would further the achievement of the simplest and most discriminatory
identification of factors. Principal-components analysis was
used to extract the initial factors. Principal components
analysis identifies uncorrelated components that parsimoniously
summarize the total variation in the data space, each component being a
linear combination of the observed variables. In factor
analysis, this relationship is reformulated such that each
observed variable is made a linear combination of the components.
Only components with eigenvalues (the sum of the squared factor
loadings, representing the variance attributable to each
principal component) >1 are considered. In the primary
analysis that we undertook, factor rotation was achieved by
using the varimax method of rotation. The correlation coefficient
between the factors identified by the varimax method are predetermined
to be zero, which further simplifies factor interpretation. Factor
interpretation is usually made with reference to factors that load
above a certain level. In the present analysis, we have
adopted the relatively inclusive level of equal to or greater than
0.25, since it was found that certain variables (particularly serum
triglycerides) would load with the principal factor at a
relatively low level but highly consistently in a variety of
different analyses. A single measure of mean
arterial pressure
([(2xdiastolic)+systolic]/3) was employed in
place of separate measures of diastolic and
systolic blood pressure in the factor analysis. This
procedure avoided the emergence of a separate factor consisting solely
of the two highly correlated blood pressure measures
(diastolic and systolic blood pressure and mean
arterial pressure behaved, in any case, very similarly in
univariate analysis and when entered as
alternatives in the factor analysis).
In the present analysis, a series of 14 subanalyses was undertaken. In the primary investigation, factors were derived from the 17 potential risk factors that had been selected on the basis of their known involvement in CHD or diabetes or their showing baseline differences in the HDDRISC-1 study group between those who were identified in prospective study (data not shown) as subsequently developing CHD or diabetes and those who remained free of these diseases. HDL cholesterol was excluded from this primary investigation so that each variable included in the analysis would be nonmissing in more than 90% of cases. To ensure that the complete data set was employed in this primary analysis, missing values were estimated (BMDP program AM was employed, which provides an estimate of missing values based on coefficients from multiple linear regression prediction of the variable concerned from all other concurrently measured variables). Varimax factor rotation was used, and participants with CHD or diabetes were excluded. This analysis was then repeated in the subset of 522 participants who had received measurement of HDL cholesterol. In analysis, HDL cholesterol was included in the variable list. Both analyses were then repeated using quartimin rather than varimax factor rotation. This oblique factor rotation procedure allows for the identification of factors that may be intercorrelated. Both analyses were again repeated with varimax factor rotation, but without estimation of missing values (596 participants in the full data set analysis and 444 in the subset with HDL measured had complete data recorded). These six analyses were repeated, but with only the seven variables conventionally associated with the metabolic syndrome being considered. These variables included BMI; blood pressure; uric acid, triglyceride, and mean fasting insulin and glucose concentrations; OGTT incremental insulin and glucose areas; and, in the subset in which it was measured, HDL cholesterol. In a final analysis, the primary analysis, with estimation of missing values and varimax rotation, was repeated, with all cases and the subset with HDL cholesterol measured, but with inclusion rather than exclusion of those who entered the cohort with diagnosed diabetes or vascular disease.
| Results |
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Table 1
summarizes means and ranges for all variables in the whole
group. Means and ranges in the HDL subset were indistinguishable from
those in the entire group. The mean (range) HDL cholesterol
concentration was 1.30 (0.36 to 2.34) mmol/L. Significant
correlations with age were found for BMI (r=.20,
P<.001), systolic (.31, P<.001) and
diastolic (.29, P<.001) blood pressures,
erythrocyte sedimentation rate (.22, P<.001), total
cholesterol (.25, P<.001),
triglycerides (.16, P<.001), mean fasting
glucose (.12, P<.001), incremental glucose area (.26,
P<.001), and incremental insulin area (.10,
P<.01).
Univariate correlation coefficients between the 17
potential age-standardized risk factors are shown in Table 2
. Extensive intercorrelations were
apparent, the majority significant at the P<.001 level. For
example, mean arterial pressure, serum
triglyceride concentration, and OGTT incremental glucose
area were each significantly, or borderline significantly, correlated
with 13 other variables. The variable that showed the least
number of significant correlations was plasma sodium concentration,
which was significantly correlated with four other variables.
Similar intercorrelations to those in the group as a whole were found
for the subset on whom HDL cholesterol concentration had
been measured (data not shown). HDL cholesterol showed
significant, or borderline significant, correlations with all
variables except sodium, potassium, uric acid, globulin, total
cholesterol, and fasting plasma glucose concentrations
(Table 2
).
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Factor analysis of all potential predictors of CHD and diabetes
(excluding HDL cholesterol), using all cases, with
substitution of missing values and varimax factor rotation, identified
a principal factor (ie, the factor explaining the greatest proportion
of the variance) comprising OGTT glucose and insulin response, mean
fasting insulin, uric acid, triglycerides, and BMI (Table 3
). This factor will subsequently be
referred to as the core metabolic cluster. Other factors
represented correlated variation in blood proteins (factor
2), lipemia (factor 3), blood pressure and sodium (factor 4), and
erythrocyte sedimentation rate and hemoglobin (factor 5). An almost
identical pattern of factors was apparent when the subset of
participants with HDL measurements was analyzed (Table 3
). The
principal factor again comprised the core metabolic
cluster, with the additional inclusion of mean fasting glucose. HDL
cholesterol comprised a separate factor (factor 6) When
quartimin factor rotation was employed on the full data set, the
principal factor comprised the core metabolic cluster, but
without triglycerides, and when the HDL subset was
analyzed, the principal factor again comprised the core
metabolic cluster, but with mean fasting glucose included
(Table 4
). When the analysis was
undertaken with only those cases with complete data, the principal
factor was again the core metabolic cluster (results not
shown). This factor was obtained when both the full data set and the
HDL subset were analyzed, although mean fasting glucose was
again an additional component of the principal factor when the HDL
subset was analyzed.
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Factor analysis of only those variables proposed to be
components of the metabolic syndrome identified the core
metabolic cluster as the principal factor in every
analysis undertaken (Table 5
).
Analysis of the full data set (excluding HDL
cholesterol) resulted in exclusion of mean fasting insulin
from the core metabolic cluster, and this was also the case
when quartimin rotation was used and when only those cases with
complete data were considered. An additional component of the principal
factor when cases with complete data were considered was mean
arterial pressure (results not shown). Analysis of
the subset with HDL cholesterol measured resulted in
inclusion of mean arterial pressure and mean fasting
glucose as components of the principal factor when either varimax or
quartimin rotation was employed (Table 5
) and exclusion of mean fasting
insulin when only cases with complete data were considered (results not
shown). In the analyses of putative components of the
metabolic syndrome, a second factor (factor 2) was
identified in each analysis of the full data set and in the
analysis of only those participants with complete data when the
subset with HDL cholesterol measured was analyzed.
This second factor comprised mean fasting glucose and insulin and BMI,
with variable inclusion of mean arterial pressure and
OGTT glucose and insulin response. In the analysis of the HDL
subset, HDL consistently comprised a separate factor, which
also included triglycerides. Inclusion of those with
diabetes or vascular disease made no difference in the factors obtained
and very little difference in the factor loadings (results not
shown).
|
| Discussion |
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OGTT insulin response was a prominent feature of the core metabolic cluster. In subjects with normal glucose tolerance (89% of participants in the present study) this can act as a surrogate measure of insulin resistance,23 supporting the possibility that insulin resistance is an important factor in the metabolic clustering we observed. However, the core metabolic cluster identified in the present analysis differs from the panel of putative components of the classic metabolic or insulin resistance syndrome24 in that two of the major components, blood pressure and HDL cholesterol, were not included, despite showing significant univariate correlations with other proposed components of the syndrome. This finding emphasizes the potential importance of the common link described above in the metabolic clustering we observed. In the analyses employing all potential predictors, blood pressure was the highest loading component of a factor that was entirely separate from the metabolic syndrome cluster. When included in the analyses involving only putative components of the metabolic syndrome, blood pressure showed no consistent pattern of loading. There has been some uncertainty over the extent to which blood pressure should be included in the metabolic syndrome, in accord with its equivocal behavior in the present analysis.25 The isolated factor in which HDL cholesterol was the major component generally included triglycerides, in inverse relationship. This observation probably reflects the activity of the various lipase enzymes that dictate the transfer of components from triglyceride-rich lipoproteins to HDL26 and appear to dominate metabolic intercorrelations with HDL. A relatively weak univariate correlation between insulin-related variables and HDL cholesterol was also seen in an analysis of data acquired more recently during the course of the HDDRISC study.3 However, this data also included measurement of HDL2 subfraction cholesterol, which showed a stronger correlation with insulin-related variables than did total HDL cholesterol. It is therefore possible that factor associations between HDL- and insulin-related measures might have been apparent in the HDDRISC-1 participants had HDL2 subfraction measurements been available.
An important feature of the present analysis was the robustness of the principal factor in the variety of analyses that were undertaken. This was not the case for subsidiary factors, which could vary according to the variables included in the analysis, the completeness of the data set, and the type of factor analysis undertaken. Factors explaining lesser proportions of the variance are clearly less well determined, which should be borne in mind in conclusions based on factor analyses of the metabolic syndrome. Three such analyses have been published previously13 27 28 (two in abstract form27 28 ), and although they have provided general support for metabolic clustering, they have differed appreciably between themselves and with the present analysis. The cohort we examined was all male and contained a high proportion of participants who were moderately overweight. It would be of interest to compare factors of the metabolic syndrome between different study populations to establish whether and how clustering may vary. However, such comparisons would have to be undertaken with standardized panels of variables and factor analysis procedures.
This is the first analysis we are aware of in which a metabolic syndrome cluster has been distinguished from a background of intercorrelated risk factors, not all of which are proposed components of the syndrome. Of particular interest is the provision of a continuous variable score with which the intensity of the syndrome can be quantified. Such a score could provide the basis for a quantitative definition of the syndrome and, as Edwards and colleagues have pointed out,13 such a score may also prove useful in the prediction of clinical outcomes in prospective studies. Preliminary analysis suggests that this may indeed be the case with regard to diabetes in the HDDRISC-1 study group.29 Thus, factor analysis might allow for a more discriminatory evaluation of metabolic antecedents of vascular disease.
| Selected Abbreviations and Acronyms |
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| Acknowledgments |
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Received September 17, 1997; accepted September 26, 1997.
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