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Department of Economics, University of Houston, Houston, TX 77204-5019
* To whom correspondence should be addressed. E-mail: bhargava{at}uh.edu.
| ABSTRACT |
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| Introduction |
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Further, dietary intakes and sedentary lifestyles are important factors in explaining anthropometric measures, especially of women from low-education backgrounds (10); the evolution of lipid, lipoprotein, and hormone profiles depends on interactions between dietary, lifestyle, and biological factors. Moreover, central obesity reflected in the ratio of waist-to-hip circumference has been associated with higher estradiol concentrations (11); BMI and the waist-to-hip ratio are likely to have differential effects on biomarkers. Also, diets low in fat and high in fiber can affect subjects' triglyceride, cholesterol, and SHBG concentrations within a short time frame, although biomarkers such as estradiol may be less responsive.
In the previous literature on diet and biomarkers, rice intakes by Chinese women in a cross-sectional analysis were positively associated with SHBG concentrations (12). The fiber intakes by men in the U.S. were positively associated with SHBG, controlling for the insulin levels (13). Moreover, changes in fiber intakes over a 12 mo period were predictors of change in bioavailable estradiol among women with a history of breast cancer (14). However, previous analyses did not control for confounding factors such as subjects' anthropometric measures and insulin levels that reflect the history of dietary intakes. Moreover, the unobserved subject-specific characteristics partly reflect genetic factors and can complicate the interpretation of the estimated model parameters. Thus, it is desirable to analyze longitudinal data on dietary intakes and biomarkers on a large number of subjects with variation in diet composition.
The data on dietary intakes, anthropometric measures, lipids, lipoproteins, and hormone concentrations of postmenopausal women in the Control and Intervention groups of the Women's Health Trial: Feasibility Study in Minority Populations (WHTFSMP) at baseline, 6, and 12 mo provide an opportunity for a comprehensive analysis (15). Because the fat intakes were significantly reduced and consumption of whole grains, fruits, and vegetables were increased in the Intervention group (16), one can model the effects of dietary intakes on insulin, LDL and HDL cholesterol, triglyceride, estradiol, and SHBG concentrations, while controlling for subjects' ethnicity, lifestyles, and anthropometric measures. Furthermore, the inter-relations between the biomarkers are important for model specification. For example, subjects' insulin levels are likely to affect LDL and HDL cholesterol, triglyceride, and SHBG concentrations and should be included as explanatory variables in empirical models for these biomarkers. Similarly, because a high proportion of estradiol is bound by SHBG, one might expect subjects with higher SHBG concentrations to have lower estradiol concentrations. Moreover, insulin and SHBG concentrations are often positively correlated, and some researchers have argued that low SHBG concentrations are predictors of the "metabolic syndrome" (17,18). It is evident that an analysis of the WHTFSMP data using a comprehensive modeling framework that incorporate the various biological and dietary aspects can provide useful insights for improving women's health.
| Materials and Methods |
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Diet, anthropometry, and socioeconomic and biological variables. The women in the Intervention group, led by a nutritionist, met weekly in groups of 815 for the first 6 wk, biweekly for the next 6 wk, and monthly thereafter for 9 mo and received detailed advice on reducing fat intakes. The subjects in the Control group were given pamphlets containing minimal information on healthy eating (19). The dietary intakes at baseline, 6, and 12 mo were measured in the 2 groups by a Food Frequency Questionnaire developed for this study (16,20).
The subjects' age, marital status, and reproductive history were recorded in the questionnaire. Education levels were coded into 4 categories that increased with the years of education. Subjects' height and weight were measured at baseline and at 12 mo. Height was measured with a stadiometer by rounding off to the nearest half-inch; weight was measured to the nearest pound, using a calibrated balanced beam scale. Waist circumference was measured at the smallest horizontal circumference between the ribs and the iliac crest, using a fiberglass tape. Hip circumference was measured at the maximum extension of the buttocks. The weight measurements were converted to kilograms and those for height, and waist, and hip circumferences were converted to meters. The subjects' patterns of "mild" and "strenuous" physical exercise for at least 30 min were investigated on a scale of 15 (1 = never and 5 = everyday). However, these variables were not significant predictors in the models and are not reported in this paper.
Blood specimens were drawn from the subjects in the Control and Intervention groups after a 12 h fast at baseline and 12 mo. With the subject seated, 20 mL of blood was drawn into one 10 mL plain tube and one 10 mL tube containing K3EDTA. The lipid analyses were performed using standardized protocols (CDC/ NHLBI Cholesterol Reference Method Laboratory Network). Plasma total cholesterol was determined by an enzymic assay in an automated analyzer. HDL cholesterol was determined by the same technique after precipitation of lipoproteins containing apolipoprotein-B with dextran sulfate (21). Net triglycerides were analyzed by a glycerol phosphate oxidase assay with glycerol used as the blank. LDL cholesterol was estimated using the Friedewald equation (22).
Serum estradiol concentrations were assayed with radioimmunoassay reagents (Diagnostic Products), using antibody-coated tube technology. The SHBG concentrations were assayed with immunoradiometric reagents (Diagnostic Systems Laboratories). Plasma glucose was measured with an automated analyzer, using a hexokinase method that was standardized to the National Institute of Standards and Technology. Serum insulin concentrations were determined by radioimmunoassay, using coated tubes. Lastly, the drugs affecting blood pressure, lipids, lipoproteins, hormones, and blood glucose were recorded in the dataset.
The Model.
We postulated the random effects model for insulin levels of n subjects at 2 time points (baseline and 12 mo) (i = 1,2,...,n; t = 1,2):
![]() | (1) |
Here, ln represents natural logarithms and a0, ..., a8 are unknown coefficients; a0 is the coefficient of the overall constant term. The model in Eq. 1 included indicator variables for ethnicity, insulin lowering medications, and for drugs affecting hormones. The subjects' age, BMI, waist-to-hip ratio, and the ratio of fiber to energy intake were transformed into natural logarithms (23), partly to reduce heteroscedasticity i.e., different variances of the errors for the subjects. Whereas fiber and energy intakes were introduced as separate variables in an alternative version of the model to account for the overall energy intake (24), fiber intake in Eq. 1 was expressed as the ratio to energy intake after the application of a statistical test (10). Coefficients of the variables in logarithms were the "elasticities" (percentage change in the dependent variable resulting from a 1% change in the independent variables). The variables Black and Hispanic were indicator (01) variables for the subjects' ethnicity. The models for estradiol, SHBG, triglycerides, and LDL and HDL cholesterol were similar to the model in Eq. 1 but also included subjects' insulin levels as explanatory variables; indicator variables for lipoprotein-lowering medications and for drugs affecting hormones were included in these models. The ratio of saturated fat to energy intakes was included in the models for triglycerides and cholesterol (25).
The ui t were random error terms that can be decomposed in a random effects fashion as
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where
i were subject-specific random variables that were assumed to be normally distributed with 0 mean and a constant variance, and vit were normally distributed random variables with 0 mean and constant variance (26). The error terms capture the unobserved between-subject differences in the biomarkers levels that may be in part due to genetic differences.
Statistical methods. For assessing the changes between the baseline and 12 mo periods in the Control and Intervention groups, paired t tests were used to test the null hypotheses that there were no differences among the means of dietary intakes, anthropometric measures, and biomarkers. The software package SPSS (SPSS for Windows version 10) was used to compute descriptive and t-statistics. Differences between the changes in the means in the Control and Intervention groups were tested using independent t tests and were considered significant at P < 0.05.
Because only 2 time observations were available on the subjects, the estimation of the model in Eq. 1 assumed that the number of women (n) was large but the number of time periods was fixed. The errors affecting the model were assumed independent across women, but correlated over time with a positive definite variance-covariance matrix. These assumptions were more general than the simple random effects model in Eq. 2. For example, the variances of the unobserved subject-specific random effects (
i) and the general errors (vi t) could differ in the 2 time periods, and the vi t's could be serially correlated. These assumptions were better suited to the present application, where there were potentially large changes between the 2 time periods in the dependent and independent variables, due to the dietary intervention. The model parameters were estimated using a stepwise procedure developed for longitudinal data that used an estimated serial covariance matrix to produce efficient estimates (with the smallest possible variance) of the model parameters at the final stage (27). Constancy of model parameters across the Control and Intervention groups was tested using chi-square tests that were equivalent to likelihood ratio tests.
| Results |
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The final set of columns in Table 2 present the results for the SHBG concentrations. The coefficients of the indicator variable for if the subjects were on medications affecting hormones were positive and significant in both the Control and Intervention groups. Moreover, the coefficients of the variable for subjects' age were positive and significant in both groups. The coefficients of BMI and waist-to-hip ratios were negative and significant for both groups, showing the importance of obesity and central obesity, respectively, for SHBG concentrations. The coefficients of the ratio of fiber to energy intakes were estimated with positive signs but were not significant. However, the insulin concentrations were significantly negatively associated with the SHBG concentrations in both groups.
Empirical results from the models for LDL and HDL cholesterol and triglycerides for the 2 groups. The results from estimating the models for LDL and HDL cholesterol and triglyceride concentrations for the Control and Intervention groups are in Table 3. First, the subjects taking cholesterol lowering medications had significantly lower LDL concentrations in both groups. However, the coefficients of the indicator variable for
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The results for HDL cholesterol showed that Black women in both groups had higher HDL concentrations. The medications for lowering LDL cholesterol had positive and significant effects on HDL cholesterol levels. The subjects' BMI was negatively and significantly associated with HDL cholesterol in the Control group, and the waist-to-hip ratio was significantly negatively associated with HDL cholesterol in both groups. Whereas the ratio of saturated fat to energy intakes was not significantly associated with HDL cholesterol, the ratio of fiber to energy intakes was positively associated in the Intervention group. In both the groups, subjects with higher insulin concentrations had significantly lower HDL cholesterol concentrations.
Finally, the results for net triglyceride concentrations showed that Black women had lower concentrations than White women in both groups. The coefficients of indicator variables for lipoprotein-lowering medications were estimated with positive signs that were significant for both groups. In the Control group, BMI was positively and significantly associated with triglyceride concentrations. The waist-to-hip ratio was estimated with large positive coefficients that were significant for both groups. The ratio of saturated fat to energy intakes was estimated with an unexpected negative result in the Intervention group. However, the ratio of fiber to energy intakes was negatively and significantly associated with subjects' triglyceride concentrations in the Intervention group. Lastly, the subjects' insulin concentrations were positively and significantly associated with triglyceride concentrations in both groups.
| Discussion |
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Second, insulin concentrations were significantly negatively associated with SHBG and HDL cholesterol and positively associated with triglyceride concentrations in the Control and Intervention groups. Moreover, insulin concentrations were positively associated with estradiol and LDL cholesterol in the Intervention group. Because the chances of insulin resistance are higher among obese subjects, and the onset of insulin resistance is occurring at earlier ages in the U.S. due to obesity, lower body weight achieved through diet and exercise is likely to reduce the prevalence of insulin resistance (29). This, in turn, would be beneficial for the lipid, lipoprotein, and hormonal profiles of postmenopausal women.
Third, considering the effects of general obesity versus central obesity, the coefficients of BMI and waist-to-hip ratios were similar in the models for insulin and SHBG concentrations. However, in the models for LDL and HDL cholesterol, the magnitudes of coefficients of waist-to-hip ratios were generally larger than the corresponding coefficients of BMI. Moreover, in the model for triglyceride concentrations, the coefficients of waist-to-hip ratio were significant for Control and Intervention groups and the magnitude of the coefficients was at least 4 times higher than those of BMI. Excess fat around the waist among the subjects in WHTFSMP had deleterious consequences for the triglyceride and LDL cholesterol concentrations.
Fourth, the theoretical inter-relations between estradiol and SHBG have been emphasized in the literature (6,8). The bivariate correlations between estradiol and SHBG at baseline and 12 mo were 0.44 and 0.41, respectively, and were statistically significant. However, including SHBG in the empirical model for estradiol led to a small positive coefficient of SHBG that was not significant in the Control or the Intervention groups. Similarly, the coefficients of estradiol concentrations in the model for SHBG were not significant in the 2 groups. It is likely that the measurement of different components of estradiol, such as the proportions that are bound by SHBG and the bioavailable estradiol, would have been useful for investigating these inter-relations.
Fifth, the autocorrelations and within-subject variations (30) were estimated using the data on insulin, estradiol, SHBG, LDL and HDL cholesterol, and triglyceride concentrations at 3 time points (baseline, 6, and 12 mo) (results not shown). In contrast with other biomarkers, estradiol concentrations exhibited 3 times as large within-subject variation, and the between-subject variances were not statistically significant in the Control or the Intervention groups. Thus, it was not surprising that the model for estradiol (Table 2) identified medications affecting hormones as the most important explanatory variable.
Finally, researchers have found that low levels of SHBG predict higher chances of type 2 diabetes (18). The bivariate correlation between insulin and SHBG concentrations at baseline was 0.31, which was statistically significant. Although insulin concentrations were significant predictors of SHBG in both groups (Table 2), including SHBG as an explanatory variable in the model for insulin led to significant coefficients of SHBG, although with smaller magnitudes. The estimation techniques took into account possible bidirectionality in the relationships (10). Further, we estimated 2 sets of models where insulin levels at baseline were used to predict SHBG concentrations at 12 mo, and where baseline SHBG concentrations predicted insulin levels at 12 mo. However, the coefficients of previous insulin or SHBG concentrations were invariably significant for both groups, thereby throwing little additional light on the direction in the empirical relation between insulin and SHBG concentrations. Thus, it would be useful to analyze longitudinal data on anthropometric measures and insulin and SHBG concentrations spanning a longer time frame for understanding the evolution of insulin and SHBG concentrations. Overall, the results from our comprehensive analysis of the WHTFSMP data demonstrated the importance of reducing central obesity in particular and increasing the intakes of dietary fiber for improving the lipid, lipoprotein, and hormonal profiles of postmenopausal women.
| ACKNOWLEDGMENTS |
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| FOOTNOTES |
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Manuscript received 19 April 2006. Initial review completed 22 May 2006. Revision accepted 1 June 2006.
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