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* Department of Nutritional Epidemiology, TNO Nutrition and Food Research, Zeist, The Netherlands;
Department of Epidemiology, Maastricht University, Maastricht, The Netherlands;
** Department of Nutrition, National Public Health Institute, Helsinki, Finland;
Epidemiology Unit, National Cancer Institute, Milan, Italy;

Department of Nutrition, Food Studies, and Public Health, New York University, New York, NY;

Division of Cancer Control and Population Sciences, National Cancer Institute, Bethesda, MD;
# Department of Methodology and Statistics, Maastricht University, Maastricht, The Netherlands; and
Institute of Environmental Epidemiology, Karolinska Institutet, Stockholm, Sweden
2To whom correspondence should be addressed. E-mail: balder{at}voeding.tno.nl.
| ABSTRACT |
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KEY WORDS: dietary patterns factor analysis principal components analysis cohort studies cancer
Epidemiologic and other studies suggest that diet is an important factor in the etiology of different types of cancer. However, the association with various foods and nutrients, predominantly investigated univariately, has often been inconsistent. Apart from the obvious differences in sampled populations, possible explanations for these inconsistent findings could be significant associations by chance due to the large number of candidate foods, inseparable effects due to high intercorrelation among many dietary components or residual confounding or interaction not specified in the model (16).
Analysis of dietary patterns is a relatively new approach that allows studying the effect of many foods and their combinations simultaneously. Several publications suggest that analysis of dietary patterns gives more insight into the relation between diet and cancer than analysis of single nutrients or foods; this requires further investigation (714). One of the methods that can be used to study dietary patterns is factor analysis. Factor analysis is a multivariate, modeling technique with which to examine underlying patterns in a number of observed variables. The aim can be exploration or confirmation of the structure of associations in a set of variables, or data reduction (i.e., to describe the data with fewer variables). Factor analysis models can result in factors that are, unlike the original variables, uncorrelated, or can allow for correlation among factors.
The authors are engaged in a multicenter project including four ongoing European cohort studies on dietary patterns and cancer (DIETSCAN).2 The purpose of the overall project is to investigate whether dietary pattern analysis reveals patterns that are consistently associated with specific cancers across four populations differing in dietary habits. Such a finding would strongly support the hypothesis that specific food patterns rather than individual foods contribute to the risk of some cancers.
Despite the accumulating number of nutritional epidemiologic studies that have conducted factor analysis, little research has been done to assess the influence of (mostly subjective) decisions taken during the analytic process, such as the grouping of input variables or the number of extracted variables on the resulting patterns. Assessing this influence is of particular importance for the comparison of patterns across studies to be able to attribute any differences to true differences among the populations and not to artifacts resulting from the different instruments and criteria used.
The objective of the present paper was to develop a common approach for the different data sets, to evaluate the influence of arbitrary analytical decisions on the identified patterns and to compare similarities and differences in dietary patterns among four different European populations.
| SUBJECTS AND METHODS |
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The ATBC Cancer Prevention Study was a randomized placebo-controlled intervention study conducted among male smokers (15,16). The cohort consisted of 29,133 white men aged 5069 y at baseline who smoked
5 cigarettes/d and were living in southwestern Finland. Subjects were recruited between 1985 and 1988 and the intervention, consisting of supplementation with
-tocopherol and ß-carotene, ended after 58 y in 1993. The follow-up on cancers and deaths was continued after the intervention period. Before randomization, a questionnaire was administered on food consumption and other risk factors for cancer; 27,111 participants satisfactorily completed a self-administered 276-item FFQ. Subjects were asked to report frequency of consumption over the past 12 mo and to estimate portion sizes using a color picture booklet. This dietary instrument, which has been evaluated for reproducibility and validity (17), is used in the analysis.
The Netherlands Cohort Study, the Netherlands.
The NLCS is a prospective cohort study that began in September 1986 (18). The cohort included 62,573 women and 58,279 men aged 5569 y at the beginning of the study. The study population originated from 204 municipalities with computerized population registries. At baseline, the cohort members completed a mailed, self-administered questionnaire on dietary habits and other risk factors for cancer. The nutrition part of the questionnaire was a semiquantitative FFQ that asked about the habitual consumption of 150 food items in the previous year. The FFQ was validated by 9-d dietary records in a subsample of the cohort (19). Because of the case-cohort design, a random subcohort of 3500 subjects (1688 men, 1812 women) was sampled from the cohort after the baseline exposure measurement. Because of missing or inconsistent dietary data, the analyses are based on data of 3123 subcohort members (1525 men, 1598 women).
The Swedish Mammography Study, Sweden.
The SMC originated from population-based mammography screening and started in 19871990 in the counties of Uppsala and Västmanland in Sweden. A questionnaire, together with a mailed invitation to be screened by mammography, was sent to all women aged 4076 y, and was returned by 66,651 (73.8%) women in the source population. The self-administered FFQ asked how often, on average, during the past 6 mo, participants consumed 67 commonly eaten foods. For calculation of daily consumption, age-specific standardized portion sizes were used, based on mean values from 5922 d of weighed food records among 213 women. In a subsample of the cohort (n = 129), the food frequency data were validated. The design and methods are described in more detail elsewhere (20).
The ORDET Study, Italy.
The ORDET study is a prospective cohort study among Italian women on hormonal factors and diet in the etiology of breast cancer. The study population was recruited in 19871992 and included 10,788 healthy volunteers. All participants were female residents of the Province of Varese in Northern Italy, aged 3569 y. A lifestyle questionnaire included a 107-item semiquantitative FFQ (26 food items quantified by photos, 17 items on fat added to dishes). The validity and reproducibility of this questionnaire was described elsewhere (21,22). The analyses are based on 9208 participants with complete dietary data.
Human subjects.
ATBC was approved by the institutional review boards of the National Public Health Institute, Finland and the U.S. National Cancer Institute. NLCS was approved by the institutional review boards of TNO Toxicology and Nutrition Institute and the University of Limburg, the Netherlands. ORDET was approved by the ethical review board of the Italian National Cancer Institute, Italy. SMC was approved by the ethics committee at Uppsala University Hospital and by the regional ethics committee of the Karolinska Institute, Sweden.
Standardization of dietary data and food grouping.
The dietary data in the four studies were derived from FFQ with different degrees of detail and different numbers of items. Because the number and detail of food variables used as input in the factor analysis is likely to influence the resulting patterns, a common food grouping was developed. Food items of the four FFQ were aggregated into 51 food groups (Appendix, Table 1),3 which were defined on the basis of their role in the diet and their possible relevance to cancer etiology. In addition to the standardized food groups, some country-specific foods were included to prevent loss of possibly relevant details. These food groups were an important part of the corresponding cohorts diet, whereas they were relatively unimportant in the other cohorts; therefore, the differences for some items are due not to missing data but to the rare consumption of these items by some cohorts.
Data analyses.
All statistical analyses were performed separately for the four cohort studies and for men and women. Because only the NLCS included both men and women, this resulted in five study data sets. Subjects with complete dietary data were used in the analysis. All data sets had a sufficient number of observations according to the criteria published by Hatcher (23), who recommended at least five subjects per input variable in factor analysis.
To identify dietary patterns, exploratory factor analysis (EFA) was performed on the correlation matrix of the 51 food groups. The analyses were performed using the SAS System (SAS Institute, Cary, NC), with the exception of the Italian data, which were analyzed using Stata Software (Stata, College Station, TX). The results of both statistical packages were compared for the ORDET and NLCS data sets and the factor solutions yielded by SAS (Proc Factor procedure) and Stata (factor pcf) were very similar.
To examine the influence of analytic decisions on the stability of the dietary patterns, sensitivity analyses were conducted with the number of factors extracted, dichotomization of extremely skewed variables and energy adjustment of the food group variables by the residual method (24), as explained below.
One of the most important decisions in factor analysis is the choice of the number of factors to be extracted. A factor is usually extracted by default if its eigenvalue (a measure of the amount of variance that is accounted for) is >1. A useful additional criterion is the point at which the scree plot (plot of the eigenvalues against the number of factors) levels off. However, this plot does not always show a clear break and may be subject to sampling variation. To assess the effect of extracting an additional factor on the content and interpretation of the previous factors, an increasing number (i.e., 26) of factors were extracted and compared for each data set.
Dietary variables often have a large number of one value (zero); because this affects the correlation between the variables, it can lead to spurious factors. Therefore, it was decided to dichotomize variables with >75% of nonusers (nonusers = 0 vs. users = 1) because more contrast was observed in examining whether these food groups were consumed than the quantity in which they were consumed. Other transformations to enhance normality and linearity (such as log or square root) would hamper interpretation of the factor scores calculated for dietary patterns. Furthermore, because extensive data cleaning in all data sets was carried out, potential outliers were considered not to be the result of incorrect data and were not dropped.
Our primary interest was in dietary patterns based on the relative composition of the diet, and not in those based on the total amount consumed. Therefore, we performed pattern analysis with the food-group variables both unadjusted and adjusted for energy, using the residual method of Willett and Stampfer (25), to assess the influence of energy adjustment.
Stability was assessed by comparing the factor solutions between two random halves of each of the five data sets and by comparing the factor solutions across the sensitivity analyses. A factor was considered stable if the food groups with significant contributions were similar and their factor loadings were comparable in both direction (positive/negative) and magnitude.
The final factor solution was determined for each study separately on the basis of stability and interpretability of the patterns resulting from the factor solutions. The resulting number of extracted factors may therefore be different for each data set.
In summary, the factor loading matrices of 1) untransformed and dichotomized variables, 2) unadjusted variables and variables adjusted for energy intake, 3) extracting an increasing number of factors and 4) two random halves of the data set were compared both visually and with Procrustes rotation, within each study. With Procrustes rotation, two different factor solutions were compared by rotating the loadings matrix of the first so that it was as similar to the other as possible, while retaining the orthogonality (independence). If comparing a 3-factor solution to a 4-factor solution, for example, the smaller loading matrix was appended with zeroes and then rotated. The resulting transformation matrix can be regarded as the correlation matrix between the factors from different solutions (26).
After orthogonal varimax rotation of the factors, food groups with absolute factor loadings > 0.35 were considered in the interpretation of the factors. The larger the factor loading of a given food group, the greater the correlation of that food group to that dietary pattern. A negative factor loading indicates that food groups were inversely associated with the pattern.
| RESULTS |
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Model selection.
For all datasets, the scree plot of the eigenvalues of the first 20 factors was generated by the EFA (Fig. 1). On the basis of the scree plots, 26 dietary patterns were identified, explaining up to 29% of the total variance. Because the scree plots did not indicate a single clear break that could be used as an objective criterion to use in choosing the number of factors for any of the studies, for each data set, the 2-, 3-, 4-, 5- and 6-factor solutions were extracted and compared (Table 3). In general, increasing the number of extracted factors did not materially change the previously extracted factors. For example, comparing the 4-factor solution with the 5-factor solution of NLCS men, the Procrustes rotation indicated that the first factor ("Salad vegetables, oil, pasta") in the 4-factor solution and the first extracted factor in the 5-factor solution had a correlation of 0.97. Hence, this factor was interpreted to be the same. Similarly, factor 2 ("Cooked vegetables") and factor 4 ("Pork, processed meat, coffee") were interpreted to remain the same, based on correlations of 0.84 and 0.96, respectively. Occasionally, when an additional factor was extracted, some food groups shifted between the factors. For example the greatest variation of factor 3 ("Sweet foods") came from the old factor 3, but also from 2 and 4 with respective correlations of 0.42 and -0.22. Some of the variation from factor 5 ("Brown/white bread substitution") came from factors 3 and 2, but much of it was newly accounted for (Table 3).
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When using the energy-adjusted food groups in the pattern analysis, the factor solutions were mostly comparable with the unadjusted factor solutions (Table 3). As could be expected, mainly the factors with high loadings on energy-contributing food groups changed. By using energy-adjusted food variables, substitution of foods such as brown vs. white bread and low fat vs. medium and full-fat dairy products became more important. The energy adjustment forces substitution patterns because it requires each food group not be correlated with energy. Except for some minor changes, the other factors were unaffected by energy adjustment. For example, for NLCS men, the factors 1, 2, 4 and 5 had correlations of 0.950.98 in the Procrustes rotation matrix. On the basis of these results, we decided to use the variables unadjusted for energy for the final factor solution. The analyses based on split samples were very similar; only the ordering of the factors changed to some extent (results not shown). On the basis of the results of the sensitivity analyses, we determined the final number of extracted factors to be 3 for the ATBC study, 5 for both men and women of the NLCS study, 4 for SMC and 4 for the ORDET study.
Interpretation and comparison.
The dietary pattern labels and percentage variance of the final factor solutions in the five data sets are presented in Table 4. The factor loadings (>0.35) of the predefined food groups of the identified dietary patterns are in the Appendix (Table 2).
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In addition to these two comparable factors, other study-specific patterns emerged. For ATBC, SMC and ORDET, an "Alcohol" pattern (high loadings on wine, beer and spirits) was identified. In the NLCS, in both in men and women, a "White/brown bread substitution" pattern was identified. In NLCS women, a "Sweet and/or savory snacks" pattern (savory snacks, nuts, sweets/candies and cakes/cookies) was identified. In NLCS men, this pattern consisted of cakes and cookies, sweet sandwich spread, sweets and candies. In NLCS women, there was also a "Fat dairy" pattern (potatoes, nonfermented whole milk, margarine, sweet sandwich spread) and in SMC a "Margarine/butter substitution" pattern (high positive loading for margarine, negative loading for butter) occurred.
The total percentage variance explained by the extracted factors reflects the number of input variables in the five data sets. When using a smaller number of food groups (e.g., ORDET had 32 food groups vs. NLCS with 49), there is potentially less unique variance than among a larger number of food groups; thus more variance is explained by a similar number of extracted factors.
| DISCUSSION |
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The dietary patterns that emerged were easily interpretable and the patterns labeled "(Salad) Vegetable" and "Pork, processed meat and potatoes" comprised a consistent list of the same food groups across the populations. However, the labels assigned are still somewhat arbitrary and represent our interpretation of the data; others may label these dietary patterns differently. Comparing models with a different number of extracted factors proved to be very useful in gaining insight into the data. Studying the dynamics of models helped in restricting the analysis to fewer, meaningful factors.
A potential objection against the use of factor analysis to define dietary patterns is the influence of subjective decisions on the identified eating patterns (27). Differences between the FFQ and differences in the detail and number of input variables were minimized by aggregating the food items into a predefined, common food grouping. To make optimal use of the available dietary data in each study, not all studies performed the EFA on the same number of variables. McCann et al. (28) demonstrated that three methods of reducing detailed dietary data obtained from a single FFQ before pattern analysis did not affect the number or the character of the patterns identified. In our study, the differences between the FFQ were reduced by allocating the original FFQ items to the same food groups, and we showed that the small differences in number of variables and inclusion of country-specific foods did not hamper the comparability of the results.
Furthermore, we observed that several analytic decisions, such as dichotomization and energy adjustment of the input variables and increasing the number of extracted factors, did not materially change the interpretation of the previously extracted factors. Therefore, methodological differences are not likely to hamper comparison with dietary patterns identified in other studies to a large extent.
As in our analysis, other studies observed a vegetable-rich dietary pattern [labeled as "Fruits and vegetables" (29,30); "Salad" (4) or "Prudent" (31)]; and a pattern with high consumption of pork, processed meat and potatoes [labeled as "Western" (31) or "Traditional" (32)].
The other study-specific patterns identified in the present study were also similar to patterns found in previous studies. For example a pattern consisting mainly of "Cooked vegetables" was also observed by Hebert (33) in a U.S. population and by Maskarinec (34) in Hawaiian women. A "Snack" pattern, consisting mainly of sweet foods and/or junk food was observed in several studies (29,30,33,3537), and an "Alcohol" or "Drinker" pattern was also identified in several studies (30,36,38).
In conclusion, the sensitivity analyses suggest that the dietary pattern approach is robust for energy adjustment, distribution of input variables and number of factors extracted. Our findings suggest that some eating patterns are common to the four European populations under study, but that other eating patterns are country specific. The finding that shared patterns exist across populations living under different social and cultural circumstances, suggests that to some extent, food choices must be driven by endogenous factors (e.g., biological, psychologic), whereas other patterns are more clearly the result of sociocultural circumstances and food availability.
| FOOTNOTES |
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3 Abbreviations used: ATBC, Alpha-Tocopherol Beta-Carotene Cancer Prevention Study; DIETSCAN, DIETary patternS and CANcer; EFA, exploratory factor analysis; FFQ, food frequency questionnaires; NLCS, Netherlands Cohort Study on diet and cancer; ORDET, Ormoni e Dieta nella Eziologia dei Tumori; SMC, Swedish Mammography Cohort. ![]()
4 The Appendix data are available in the online posting of this article at www.nutrition.org. ![]()
Manuscript received 13 June 2003. Initial review completed 23 July 2003. Revision accepted 12 September 2003.
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