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American Journal of Epidemiology Advance Access originally published online on February 28, 2007
American Journal of Epidemiology 2007 165(8):858-867; doi:10.1093/aje/kwm040
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American Journal of Epidemiology Copyright © 2007 by the Johns Hopkins Bloomberg School of Public Health All rights reserved; printed in U.S.A.

PRACTICE OF EPIDEMIOLOGY

Assessing the Measurement Properties of Neighborhood Scales: From Psychometrics to Ecometrics

Mahasin S. Mujahid1, Ana V. Diez Roux1, Jeffrey D. Morenoff2 and Trivellore Raghunathan3

1 Department of Epidemiology, School of Public Health, University of Michigan, Ann Arbor, MI
2 Department of Sociology, College of Literature, Science, and the Arts, University of Michigan, Ann Arbor, MI
3 Department of Biostatistics, School of Public Health, University of Michigan, Ann Arbor, MI

Correspondence to Dr. Ana V. Diez Roux, Center for Social Epidemiology and Population Health, University of Michigan School of Public Health, 1214 South University Avenue, 2nd Floor, Ann Arbor, MI 48104 (e-mail: adiezrou{at}umich.edu).

Received for publication March 15, 2006. Accepted for publication August 2, 2006.


    ABSTRACT
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 References
 
Most studies examining the relation between residential environment and health have used census-derived measures of neighborhood socioeconomic position (SEP). There is a need to identify specific features of neighborhoods relevant to disease risk, but few measures of these features exist, and their measurement properties are understudied. In this paper, the authors 1) develop measures (scales) of neighborhood environment that are important in cardiovascular disease risk, 2) assess the psychometric and ecometric properties of these measures, and 3) examine individual- and neighborhood-level predictors of these measures. In 2004, data on neighborhood conditions were collected from a telephone survey of 5,988 residents at three US study sites (Baltimore, Maryland; Forsyth County, North Carolina; and New York, New York). Information collected covered seven dimensions of neighborhood environment (aesthetic quality, walking environment, availability of healthy foods, safety, violence, social cohesion, and activities with neighbors). Neighborhoods were defined as census tracts or census clusters. Cronbach's alpha coefficient ranged from 0.73 to 0.83, with test-retest reliabilities of 0.60–0.88. Intraneighborhood correlations were 0.28–0.51, and neighborhood reliabilities were 0.64–0.78 for census tracts for most scales. The neighborhood scales were strongly associated with neighborhood SEP but also provided information distinct from neighborhood SEP. These results illustrate a methodological approach for assessing the measurement properties of neighborhood-level constructs and show that these constructs can be measured reliably.

censuses; data collection; epidemiologic methods; psychometrics; residence characteristics; social class; social environment


Abbreviations: ICC, intraneighborhood correlation coefficient; SEP, socioeconomic position


    INTRODUCTION
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 References
 
In recent years, there has been increasing interest in the effects of neighborhood on health. Studies have shown that living in a socioeconomically disadvantaged neighborhood is associated with increased morbidity and mortality, independent of individual-level factors (17). Most of these studies have used census-defined areas (census tracts/block groups) as proxies for neighborhoods and aggregate measures of socioeconomic position (SEP) as crude proxy measures for a variety of health-relevant features across which neighborhoods may differ. This body of work has become the foundation of the evolving "neighborhood effects" literature in epidemiology.

The use of aggregate SEP measures raises methodological questions regarding the ability of these studies to actually estimate neighborhood effects "independently" of individual SEP (810). In addition, aggregate SEP measures may be poor proxies for the specific features of neighborhoods that are relevant, limiting the causal interpretation of any associations observed. One way to address these limitations is to investigate the specific causal mechanisms through which neighborhoods affect health outcomes. This requires moving beyond neighborhood SEP to the study of specific features of neighborhoods. Some of these features may be associated with commonly used measures of neighborhood SEP, but others may not. For example, both low-SEP neighborhoods and high-SEP neighborhoods could have poor social cohesion. There may also be important variation in health-relevant dimensions, even among neighborhoods of similar SEP.

The measurement of ecologic features of neighborhoods is much less developed in epidemiology than the measurement of individual-level variables. One option in measuring neighborhood-level properties is to use locational data available in administrative or commercial databases (e.g., locations of recreational facilities or food stores) (11, 12) and geographic information systems (13, 14). A second option is to employ systematic social observation in which raters visit neighborhoods in order to assess them on specific dimensions (1518). However, these options may not be feasible or may not be suited to the assessment of certain constructs (e.g., social cohesion).

A third option is to measure characteristics of neighborhoods by asking each study participant to report on the conditions in his or her neighborhood (1923). Although this approach is useful, it has two limitations. One limitation is that reporting bias may create spurious associations between self-reported neighborhood conditions and self-reported health outcomes (source bias) (24). For example, persons who are sedentary may rate their neighborhoods as worse with regard to recreational resources than their more active counterparts, irrespective of the actual conditions in the neighborhood. A second limitation is that the neighborhood-level constructs are measured on the basis of reports made by individuals, and although individual reports are undoubtedly influenced by objective reality, they are also influenced by personal factors and perceptions which may introduce measurement error. An alternative approach is to measure neighborhood conditions by incorporating information obtained from a separate sample of persons who reside in the same neighborhoods as the study participants. These persons can serve as informants of neighborhood conditions. Their responses can be aggregated to the neighborhood level and linked with the study population of interest in order to study relations between these neighborhood features and health outcomes.

In traditional psychometrics, the reliability of a scale is assessed on the basis of internal consistency and test-retest reliability. Assessing the measurement properties of ecologic measurements moves beyond an assessment of the psychometric properties to what has been termed "ecometrics" (24). Ecometrics is an extension of the two levels implicit in traditional psychometric assessment (scale item responses nested within individuals) because it introduces a third level: scale items nested within individuals who are nested within neighborhoods. It allows quantification not only of how consistently individuals respond to the different component items of a scale (the internal consistency measure of psychometrics) but also the extent to which residents of the same neighborhood rate their neighborhood similarly (24).

Few empirical studies have investigated the psychometric properties of survey measures of neighborhood constructs (16, 25, 26); still fewer have assessed their ecometric properties (24, 27). In our study, we had three primary objectives: 1) to develop neighborhood scales that represent features of neighborhoods potentially important for cardiovascular disease risk, 2) to assess the psychometric and ecometric properties of such scales, and 3) to examine how individual-level variables and neighborhood socioeconomic indicators are related to these scales. We focused on cardiovascular disease-related constructs because they are among the health outcomes most commonly examined in relation to neighborhood conditions (1, 2, 5, 7).


    MATERIALS AND METHODS
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 References
 
Study population
Data were collected via a telephone survey of residents of selected census tracts in Baltimore City/County, Maryland; Forsyth County, North Carolina; and New York, New York, between January and August of 2004. These three areas were selected because they are the geographic areas from which participants in a cohort study of cardiovascular disease, the Multi-Ethnic Study of Atherosclerosis, were sampled (28). The main objective of the survey was to construct measures of neighborhood-level properties for these areas, using an independent sample of individuals as "informants," so that this information could be linked to Multi-Ethnic Study of Atherosclerosis participants in future analyses. Using random-digit dialing, we identified a sample of telephone numbers in the areas of interest. On the basis of prior work (17, 24, 29), we estimated a total desired sample size of 5,800 across the three sites, which would yield a mean number of 25 participants per neighborhood cluster (as defined below). One adult aged 18 years or older was randomly selected to participate within each sampled household. The survey was administered in English or Spanish. We surveyed 5,988 respondents (1,752 in Maryland, 1,616 in North Carolina, and 2,620 in New York). A sample of 120 persons (40 at each site) was reinterviewed 2–3 weeks after the initial interview for assessment of test-retest reliability. The final response rate, calculated using American Association for Public Opinion Research criteria (30), was 46.5 percent. The American Association for Public Opinion Research response rate for the test-retest reliability study was 80.0 percent.

Study questionnaire
The telephone questionnaire ascertained information on neighborhood-level dimensions relevant to cardiovascular disease. In responding to the questionnaire, participants were asked to refer to the area approximately 1 mile (1.6 km) around their home. On the basis of a conceptual model (31) and prior work (25), seven neighborhood dimensions were assessed, including aesthetic quality (six items), walking environment (10 items), availability of healthy foods (four items), safety (three items), violence (four items), social cohesion (four items), and activities with neighbors (five items). Scale items were drawn from published work whenever possible (17, 20, 3235). For most scales, responses for each item ranged from 1 to 5 (1 = strongly agree, 2 = agree, 3 = neutral (neither agree nor disagree), 4 = disagree, and 5 = strongly disagree). Responses for the scales on violence and activities with neighbors ranged from 1 to 4 (1 = often, 2 = sometimes, 3 = rarely, and 4 = never). For each scale, a score was estimated by taking the average across all items within the scale. Only respondents with complete information for all items within a scale were assigned a scale score. Because our neighborhood constructs were identified a priori on the basis of a conceptual framework, we retained the initial seven scales for analyses. Some items were dropped from three of our neighborhood scales because dropping these items improved the scales' internal consistency (Cronbach's alpha coefficient increased by 0.06–0.12). The items in each scale (including the items dropped) are shown in table 1.


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TABLE 1. Neighborhood scale items included in a telephone survey on neighborhood conditions administered at three US study sites* (n = 5,988), 2004

 
Definition of neighborhood
Two alternate definitions of neighborhoods (census tracts and neighborhood clusters) were investigated. Census tracts are subdivisions of counties containing an average of 4,000 persons (36). Respondents in this study represented 576 census tracts (208 in Maryland, 71 in North Carolina, and 297 in New York), with a median of eight participants per tract (range: 1–62 participants). Neighborhood clusters are clusters of spatially contiguous block groups. For the New York and Maryland sites, the clusters contained 8,000–12,000 persons and encompassed approximately 10 census block groups (or 2–3 census tracts). Because North Carolina is less densely populated and the block groups are much larger in geographic size, clusters for North Carolina were defined to contain four block groups, on average. Clusters were constructed by aggregating spatially contiguous block groups with similar sociodemographic and housing characteristics using spatially constrained clustering (37, 38) and Boundary SEER software developed by TerraSeer, Inc. (Crystal Lake, Illinois; www.terraseer.com). This approach combines block groups based on spatial contiguity and minimization of the within-cluster sums of squares for the variables of interest (in our case, factor scores derived from demographic, socioeconomic, and housing characteristics) (37, 38). Clusters created using this data-driven approach were refined using natural boundaries, highways, and local knowledge. A total of 161 clusters were included in these analyses (51 in Maryland, 53 in North Carolina, and 57 in New York), with a median of 26 participants per cluster (range: 2–322 participants).

Statistical analysis
Data were weighted in all analyses to account for the sampling design and to correct for nonresponse. The psychometric properties of each scale were assessed using Cronbach's alpha coefficient and the 2-week test-retest reliability (39).

We assessed the ecometric properties of the neighborhood scales using three-level multilevel models (40). The level 1 model (item responses within individuals) was defined as:

Formula
where Yijk represents the ith response of person j in neighborhood k and b0jk is the estimated mean scale score for person j in neighborhood k. The errors of measurement eijk of item i for person j in neighborhood k are assumed to be normally distributed with variance {sigma}2. In the level 2 model (persons within neighborhoods), the estimated mean scale score for person j in neighborhood k is modeled as a function of a neighborhood mean and a person-specific deviation:

Formula
where {lambda}00k represents the mean value for the neighborhood scale in neighborhood k and {alpha}0jk represents a random effect for person j in neighborhood k. The random effect {alpha}0jk is assumed to be normally distributed with mean 0 and variance {tau}b. {tau}b is the within-neighborhood variance, which quantifies the variability in the person-specific score within neighborhoods.

The level 3 model (neighborhoods) models the neighborhood-specific means as a function of an overall mean and a neighborhood-specific deviation:

Formula
where {gamma}000 represents the mean value for the neighborhood-level measures across neighborhoods and U00k represents a random neighborhood effect for each neighborhood k. The random effect U00k is assumed to be normally distributed with mean 0 and variance {tau}{eta}. {tau}{eta} is the between-neighborhood variance and represents the variability in neighborhood mean score across neighborhoods.

Using the above model, we calculated the intraneighborhood correlation coefficient (ICC) and the reliability of the neighborhood-level measure. The ICC quantifies the percentage of variability in the scale score that lies between neighborhoods (24). It is calculated as the ratio of the variance between neighborhoods divided by the sum of between- and within-neighborhood variance components. The ICC ranges from 0 to 1, with a higher value indicating greater agreement between respondents within a neighborhood. The neighborhood-level reliability of the neighborhood score ({lambda}00k) (24, 41) is a function of the ICC as well as the number of participants in each neighborhood (njk). It is calculated as the ratio of the "true" score variance to the observed score variance in the sample neighborhood mean, with values ranging from 0 to 1. The reliability will be high (close to 1) when: 1) the neighborhood means vary substantially across neighborhoods (holding constant the sample size per group) or 2) the sample size per neighborhood is large.

Formula

We also explored individual- and neighborhood-level predictors of the neighborhood scales. We investigated six individual-level covariates: age, gender, race/ethnicity, education, income, and duration of residence in the neighborhood. For this analysis, we estimated within-neighborhood effects of each of the six individual-level covariates by including them in the level 2 model as variables centered around the group (neighborhood) mean (42). This approach minimizes any confounding of individual-level effects by omitted neighborhood-level variables. We also used a three-level model (without any centering) to investigate associations of census tract percentage of poverty derived from the 2000 US Census with the scales after adjusting for measured individual-level factors. We estimated the percentage of between-neighborhood variability in scale scores explained by the poverty indicator using the formula

Formula
where {tau}00(model X) is the between-neighborhood variance from the model with only level 2 covariates included and {tau}00(model Y) is the between-neighborhood variance from the full model with both level 2 and level 3 covariates included.

To investigate the robustness of our results to violation of model assumptions at level 1, we also constructed three-level logistic models (with dichotomized responses) and ordinal logistic models. Decomposition of variance in these models is not straightforward, because the level 1 variance depends on the covariates and because the level 1 variance and the levels 2 and 3 variances are on different scales (43, 44). In the estimation of neighborhood reliabilities from these models, we used the standard approximation to the level 1 variance used in HLM software (Scientific Software International, Lincolnwood, Illinois). In a preliminary examination of the convergent validity of the scales, we examined the correlations between the observed neighborhood means for each domain. Our expectation was that positive aspects of neighborhoods (walkability, good aesthetic quality, safety, low violence, access to healthy foods) would tend to cluster.


    RESULTS
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 References
 
Fifty-four percent of the study sample was female. The mean age was 43.8 years (standard deviation, 17.1), and the mean duration of residence in the neighborhood was 12.9 years (standard deviation, 13.6). The sample was diverse in terms of socioeconomic characteristics and race/ethnicity and was approximately representative of the areas from which it was drawn, although respondents were slightly more likely than the total population to be in the higher educational categories (table 2). Descriptive statistics for the scales are shown in table 3. Cronbach's alpha coefficient ranged from 0.73 (walking environment) to 0.83 (violence). Test-retest reliability coefficients (for the subset (n = 120)) were also high, ranging from 0.60 (walking environment) to 0.88 (safety).


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TABLE 2. Selected characteristics of respondents to a telephone survey on neighborhood conditions (n = 5,988) compared with those of the total population of the census tracts* from which the survey sample was drawn, 2004

 

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TABLE 3. Descriptive statistics for seven scales on neighborhood conditions assessed by telephone survey at three US study sites* (n = 5,988), 2004{dagger}

 
The ecometric properties of the scales are shown in table 4. Neighborhood reliabilities were 0.64 or more for census tracts and 0.78 or more for census clusters. The "activities with neighbors" scale showed reliabilities substantially lower than those for the other scales (0.28 for tracts and 0.46 for clusters). The ICCs were also low for the "activities with neighbors" scale (only 0.06 for tracts and 0.05 for clusters) but were substantially higher for the other scales (0.28–0.51 for tracts and 0.22–0.45 for clusters). Similar results for ICC and neighborhood reliability were obtained when logistic or ordinal logistic regression was used. For example, for aesthetic quality, ICCs for census tracts were 0.51, 0.48, and 0.48 and neighborhood reliabilities were 0.78, 0.77, and 0.73 for three-level normal, ordinal logistic, and logistic models, respectively. Site-specific models (not shown) revealed no clear site differences in ICC or reliability, although North Carolina tended to consistently have the lowest values.


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TABLE 4. Variance components, intraneighborhood correlation coefficients, and neighborhood-level reliabilities for seven scales on neighborhood conditions assessed by telephone survey at three US study sites* (n = 5,988), 2004

 
Correlations between the seven neighborhood scales (not shown) generally indicated good convergent validity. For example, high correlations in the expected direction at the census tract level (with the score being estimated by the mean for all respondents in the tract) were observed for safety and violence (–0.68), aesthetic quality and safety (0.72), and social cohesion and safety (0.72). The "activities with neighbors" scale was positively correlated with social cohesion (0.43) but was largely uncorrelated with the other measures.

There was some evidence that reports of neighborhood characteristics varied according to the individual-level characteristics of the respondents (table 5). Older participants were significantly more likely to report better aesthetic quality, better availability of healthy foods, more safety and social cohesion, and less violence. Black participants were more likely to report higher levels of aesthetic quality, walking environment, and safety and to report lower levels of violence. Hispanic participants reported higher levels of aesthetic quality, walking environment, healthy foods, and safety and lower levels of violence. Higher-income persons reported higher aesthetic quality, walkability, safety, social cohesion, and activities with neighbors.


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TABLE 5. Mean difference in neighborhood scale scores according to individual-level factors{dagger} at three US study sites{ddagger} (n = 5,988), 2004

 
After controlling for the individual-level characteristics of respondents, neighborhood poverty was significantly associated with more violence, with poorer aesthetic quality, walking environment, and availability of healthy foods, and with less safety and social cohesion (table 6). Neighborhood percentage of poverty explained a large amount of the variability across neighborhoods in aesthetic quality, safety, violence, and social cohesion (54.6–67.1 percent) and moderate amounts of differences in walkability and availability of healthy foods (15.8–26.5 percent). Neighborhood poverty was not associated with the "activities with neighbors" scale.


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TABLE 6. Mean difference in neighborhood scale scores according to neighborhood (census tract) poverty{dagger} at three US study sites{ddagger} (n = 5,988), 2004

 

    DISCUSSION
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 References
 
The purpose of our study was to examine the measurement properties of scales designed to assess selected neighborhood-level characteristics. Our neighborhood scales had good psychometric properties with high internal consistency (range of Cronbach's alpha: 0.73–0.83) and test-retest reliability (range: 0.60–0.88). A pilot study conducted by Echeverria et al. (25) reported slightly higher Cronbach's alpha coefficients (range: 0.77–0.94) and test-retest reliabilities (range: 0.78–0.91) for several similar neighborhood scales. However, the pilot study was conducted in a small volunteer sample of persons residing in only one location.

Despite much recent interest in neighborhood health effects, few studies have assessed the ecometric properties of neighborhood measures (24, 27). Assessment of these properties is important for new data collection and for the interpretation of study results. With the exception of the "activities with neighbors" scale, our measures showed good ecometric properties, with neighborhood reliabilities ranging from 0.76 to 0.88 (for neighborhoods defined as census tracts) and ICCs ranging from 0.24 to 0.46 (for neighborhoods defined as census clusters). There is a trade-off between the reliability and the ICC of our neighborhood scales depending on the size of the area used to define a neighborhood. Smaller areas ("census tracts") have higher ICCs than larger geographic areas ("census clusters"). Larger geographic areas are likely to contain more heterogeneity in the characteristics being assessed, leading to less agreement among participants within a neighborhood. Similar to the ICC, the reliability of the neighborhood measures is a function of the between- and within-neighborhood variances. However, it is also positively related to the number of individuals within each neighborhood. On average, neighborhood clusters will have more respondents because of their larger geographic size; hence, reliabilities are higher for clusters than for census tracts, despite the higher ICCs of the latter. The lower ICCs for larger areas are also consistent with the lower ICCs observed for the North Carolina site (not shown), where census tracts are substantially larger in size and hence may be more heterogeneous. The ecometric properties of neighborhood measures may vary depending on the size of the geographic areas assessed and the geographic variability in the construct of interest. Unfortunately, sample size limitations precluded detailed investigation of this regional variability in our data.

Raudenbush and Sampson (24) reported similar reliabilities (range: 0.74–0.89) and ICCs (range: 0.13–0.39) for neighborhood measures of perceived violence, neighborhood decline, social cohesion, social disorder, and social control with neighborhoods defined similarly to our census clusters. Our decision to construct neighborhood clusters and sample 25–30 participants per cluster was based in part on these results, which indicated that an intraneighborhood sample size of 25–30 will maximize the neighborhood reliability (24). However, in our analyses, both ICCs and reliabilities did not differ substantially for census tracts and census clusters. Thus, in our data, the loss of reliability resulting from the use of census tracts with smaller sample sizes is offset by the greater homogeneity of these smaller areas in terms of the characteristics of interest and by the large number of "neighborhoods" available for analysis when census tracts are used. Having a larger number of neighborhoods has the added advantage of increasing power to detect neighborhood health effects (45).

Census tracts and census clusters obviously do not match up exactly with the geographic areas respondents were asked to refer to in the survey (approximately 1 mile (1.6 km) around their homes). Moreover, it is possible that participants responded with regard to the area they intuitively thought of as their "neighborhood," despite the survey instructions. It is also unrealistic to think that the dimensions we measured vary significantly across the arbitrarily defined geographic barriers of census tracts or clusters. Despite these complexities, our data show that an important part of the variability in neighborhood scores is between our arbitrarily defined "neighborhoods," supporting the utility of our instrument in the measurement of true area-level constructs. However, there is also evidence of variation in responses within neighborhoods. Part of this may be due to the arbitrary geographic definition of "neighborhoods" that we used. Other sources of within-neighborhood variability include variations induced by the necessarily subjective nature of the reports, as well as simple measurement error. The presence of this within-neighborhood variability is an argument for averaging over respondents or raters in estimating the "true" neighborhood characteristic. The relatively high neighborhood reliability estimates indicate that the mean is a reasonable estimate for the true neighborhood score, although there is still room for improvement, especially in areas with small sample sizes.

Of the scales we examined, the "activities with neighbors" scale clearly had poor ecometric properties, despite having good psychometric properties. There was marked heterogeneity in the ways in which residents of the same "neighborhood" responded to these items. This indicates that this measure may be tapping into an individual-level construct as opposed to a true neighborhood-level construct.

A preliminary indication of the convergent validity of our measures is that they correlated with each other in the expected directions. We also saw strong associations between neighborhood poverty and all but one of the neighborhood scales. Neighborhood poverty also explained large amounts of the between-neighborhood variability in our scales. These findings were expected and are consistent with the use of aggregate measures of neighborhood SEP as proxies for specific neighborhood conditions potentially relevant to cardiovascular disease risk. However, there is also evidence of neighborhood variations in these constructs which are not captured by neighborhood SEP. Thus, the direct measurement of these features provides information which is correlated with, but also distinct from, neighborhood SEP.

In using area-level aggregates of survey responses to characterize neighborhoods, respondents in each neighborhood are viewed as informants of the conditions in their area. To the extent that people's perceptions reflect reality, the averaging of responses across multiple persons within a neighborhood reduces measurement error due to individual subjectivity. In our data, there was some evidence of within-area differences in reported neighborhood characteristics associated with individual-level characteristics, including race/ethnicity and income. Other studies have also documented variation in neighborhood constructs based on individual characteristics (17, 46). If there is systematic variability in the way that respondents rate their neighborhood based on sociodemographic characteristics, these variables can be incorporated into the level 2 model in order to derive adjusted estimates of the neighborhood-level construct of interest. However, the presence of associations of the scales with individual-level variables does not necessarily imply systematic differences in the ways in which respondents rate their neighborhoods. It is possible that reporting differences reflect real within-area differences. For example, income groups may be spatially clustered within census tracts or clusters, with some groups living in areas with poorer environmental conditions or near the boundaries of the tract and in close proximity to areas with poor environmental conditions.

One limitation of our data is the wide range in the number of participants in each area. The number of survey respondents ranged from 1 to 62 in each census tract and from 2 to 322 in each census cluster. For some neighborhoods, measures are based on the responses of a few participants or, in extreme cases, only one participant. One approach to dealing with this problem is to construct empirical Bayes estimates which borrow strength across neighborhoods and shrink estimates for neighborhoods with few observations towards the overall mean (40, 47, 48). Future research is needed to examine the consequences of using simple means or empirical Bayes estimates as predictors of health outcomes.

Despite repeated calls for the study of the environment as a main effect and in interaction with individual-level factors in epidemiology, the assessment of ecologic settings remains in its infancy. In this paper, we have demonstrated the feasibility of measuring constructs that vary over geographic areas using survey data and have shown data supporting the validity and reliability of these measures. Improving the measurement of environmental and group-level factors is a prerequisite for investigating their causal effects.


    ACKNOWLEDGMENTS
 
This work was supported by grant R01 HL071759 (Dr. Ana V. Diez Roux) from the National Heart, Lung, and Blood Institute and by grant R24 HD047861 from the Columbia Center for the Health of Urban Minorities (Columbia University, New York, New York).

Conflict of interest: none declared.


    NOTES
 
Editor's note: An invited commentary on this article appears on page 868, and the authors' response is published on page 872.


    References
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 References
 

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