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(Journal of Nutrition. 2000;130:2666-2674.)
© 2000 The American Society for Nutritional Sciences


Articles

The Core Food Security Module Scale Measure Is Valid and Reliable When Used with Asians and Pacific Islanders1 ,2

Joda P. Derrickson3, Anne G. Fisher* and Jennifer E. L. Anderson{dagger}

Nutrition Consultant, Kaneohe, HI 96744 and Departments of * Occupational Therapy and {dagger} Food Science and Human Nutrition, Colorado State University, Fort Collins, CO 80523

3To whom correspondence should be addressed.


    ABSTRACT
 TOP
 ABSTRACT
 INTRODUCTION
 Development of the CFSM...
 The Core Food Security...
 CFSM with Asian and...
 Previous work.
 Objectives.
 SUBJECTS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
The Core Food Security Measure (CFSM) is used nationally to assess the extent and severity of household food insecurity in the previous 12 mo due to inadequate money for food. Both a scale measure and a categorical measure were developed from a national cross-sectional sample. The objective of this research was to determine whether the CFSM scale measure is a reliable and valid food security measure for use in Hawaii, where at least 50% of the population is of Asian or Pacific Islander descent. We completed an independent assessment of the robustness of the internal scale construct validity of the CSFM scale measure and hierarchical order of items using the same Rasch methods used previously to develop the CSFM. From a sample of 1664 respondents, data from 362 were used in the Rasch analysis. Item goodness-of-fit statistics indicated that responses to the "adults cut the size or skip meals" item and its follow-up item were redundant [outfit mean-square residual (MnSq) = 0.6, z = -2]. Responses to the "(un)able to eat balanced meals" item were erratic (outfit MnSq = 2.1, z = 2). Findings pertaining to goodness-of-fit of the respondents indicated an acceptable rate of misfit (4.7%). Rate of misfit did not vary with family status or with any ethnic group except the Samoans. Overall, the CFSM scale measure fit as well with the Hawaii data as it did with national data, although identified limitations may affect food security monitoring and research.


KEY WORDS: • food security • hunger • Hawaii • validity • humans


    INTRODUCTION
 TOP
 ABSTRACT
 INTRODUCTION
 Development of the CFSM...
 The Core Food Security...
 CFSM with Asian and...
 Previous work.
 Objectives.
 SUBJECTS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
Food security, defined as "access by all people at all times to enough food for an active, healthy life," is recognized nationally and internationally as a key to nutrition security and to health [Center of Nutrition Policy and Promotion 1996Citation , Life Science and Research Office (LSRO)4 1990 ]. Food security status has been measured traditionally on an ordinal scale, beginning with food security through various levels of food insecurity, including severe hunger among children (Radimer et al. 1992Citation , Wehler et al. 1992Citation ). The importance of food security measurement was recognized in The Ten-year Comprehensive Plan for Nutrition Monitoring and Related Research Programs [U.S. Department of Health and Human Services (USDHHS) 1993]. With this recognition, the Food and Consumer Service, USDA and the Center for Disease Control and Prevention, National Center for Health Statistics, USDHHS and other food security experts oversaw the development of an ordinal scale and a categorical measure of household food insecurity called the Core Food Security Module (CFSM; Carlson et al. 1999Citation ). A summary report of this landmark research effort (Hamilton et al. 1997aCitation ), a technical report outlining development of the national food security measures, (Hamilton et al. 1997bCitation ), and the report of Price et al. (1997)Citation document this research. The CFSM, depicted in Table 1Citation , is used to assess the extent and severity of food insecurity of households in the last 12 mo due to inadequate money for food.


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Table 1. Item calibration and standard errors of the Core Food Security Module scale measure from a national sample1

 

    Development of the CFSM scale measure using the Rasch Model.
 TOP
 ABSTRACT
 INTRODUCTION
 Development of the CFSM...
 The Core Food Security...
 CFSM with Asian and...
 Previous work.
 Objectives.
 SUBJECTS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
The CFSM scale measure was developed using a probablistic log-linear measurement model called the Rasch model (Hamilton et al. 1997bCitation ). The simple Rasch model, developed by George Rasch, is a methodology for constructing reliable and internally valid measures (Rasch 1966Citation , Wright and Stone 1979Citation ). Applied to the CFSM, the assertions of the simple Rasch model are as follows: 1) the more food secure a respondent, the more likely the person is to respond negatively to easier items, i.e., those indicating food security would answer "almost never" to question (Q)2 "worried that food would run out"; and 2) food insecurity items (Q2–6) are more likely to be answered affirmatively than the hunger items (Q7–16), i.e., more respondents will respond affirmatively to the least severe Q2, than the more severe Q10 in which the respondent indicates hunger.

Rasch computer programs such as FACETS or BIGSTEPS model these assertions mathematically (Linacre 1994Citation , Wright and Linacre 1991Citation ). Rasch programs transform raw item scores into equal-interval scales (Wright and Masters 1982Citation ). The basic Rasch model estimates the log-odds probability of a given score (Fisher 1993Citation ) as follows:

where Pni is the probability of an affirmative response from a respondent n on item i, Bn is the food security measure of respondent n, and Di is the item hunger severity calibration of item i.

Because the logits are equal units of measurement, they are additive. Both item hunger severity and respondent scale measures are calibrated on the same linear scale. The item calibration values represent the position of the item along the constructed food security measurement scale. As depicted in Table 1Citation , an item such as Q16, with a high positive item calibration value (4.82), indicates a greater degree of insecurity and hunger, whereas an item with a low negative calibration value, i.e., Q2: -4.99, indicates more food security or a lesser degree of food insecurity (Hamilton et al. 1997bCitation ). Similarly, for respondent scale measures, which pertain to the degree of food security the respondent experiences, a higher number of affirmative responses indicate greater household food insecurity or hunger and will result in a higher positive placement on the food security scale. Few affirmative responses indicate less food insecurity and therefore a negative placement on the food security scale. A more complete description of the technical aspects of CSFM scale measure, including Rasch measurement, can be found elsewhere (Hamilton et al. 1997bCitation ).

An inspection of the ordering of the items by calibration values can be used to examine the conceptual validity of the scales. Those items, i.e., Q2, Q3, which should be "easy or less severe" are at the food secure end of the scale and those that are "harder or more severe" should be at the more food insecure (hungry) end of the scale. We expect at least 95% of our sample to demonstrate valid patterns of response across the items. The item calibration values can also be examined for gaps in the scale, which can result in less sensitive or less reliable measurements (Fisher 1993Citation ). Standard errors of the item calibrations and respondent food security measures provide an estimate of reliability.

Mean square residuals (MnSq) are used to assess the goodness-of-fit of each item compared with the assertions of the Rasch model. MnSq are ratios of the observed vs. the expected scores. The expected values of the MnSq are 1.0. In the development of the CFSM, MnSq values > 1.2 were judged indicative of a poorly fitting or erratic item, especially when values of t, the standard residual, were >= 2. Using this criterion, the item was targeted for removal from the scale. MnSq values < 0.8 indicate that the item was redundant or lacked variability with respect to the information it shares with another item (Hamilton et al. 1997bCitation ), particularly when values of t, the standardized residual, are <= -2, (Wright and Stone 1979Citation ). Redundant or poorly fitting items were also targeted for removal from the scale. Items that are erratic are removed because their failure to demonstrate goodness-of-fit to the Rasch model provides objective evidence (despite theoretical assumptions to the contrary) that the item does not measure the same unidimensional construct as do the other items included in the test. Items that lack variability or are redundant are removed because they do not contribute to the differentiation of persons into varying levels of ability (person separation).

An additional advantage to Rasch measurement is that calibration values are calculated independently of the respondents tested, independently of the questions asked and independently of missing data. Thus, responses from households with and without children, who answer a different number of questions can be assessed using the same scale. Furthermore, the fit among respondents can also be assessed. Respondents who have a pattern of response that differs significantly from expectations will misfit the modeled expectations. That is, they are judged objectively to fail to meet the expectations of the Rasch model for valid patterns of responses across the items (e.g., a more food secure respondent failing food insecure items or a more food insecure person responding affirmatively to hunger items). Usually, a misfit rate <= 5% of the sample is deemed acceptable (Wright and Masters 1982Citation ). Finally, missing data do not create a barrier to comparable data analysis (Wright and Stone 1979Citation ).


    The Core Food Security Module.
 TOP
 ABSTRACT
 INTRODUCTION
 Development of the CFSM...
 The Core Food Security...
 CFSM with Asian and...
 Previous work.
 Objectives.
 SUBJECTS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
The 18 CFSM items were the best-fitting items from 58 food security items in the 1995 food security supplement of the Current Population Survey. Original research findings indicated that the 18-item CFSM is a unidimensional food security scale that demonstrates adequate fit and an adequate dispersion of items to assess the spectrum of food insecurity experienced in the United States (Hamilton et al. 1997bCitation ). Goodness-of-fit statistics of the respondent measures were not reported. Analysis of fit across subgroups, i.e., households with children under 18, elderly households with no children and households with neither elderly nor children (single or multiple adults) indicated the CFSM was robust across diverse household types (Hamilton et al. 1997bCitation ).


    CFSM with Asian and Pacific Islanders.
 TOP
 ABSTRACT
 INTRODUCTION
 Development of the CFSM...
 The Core Food Security...
 CFSM with Asian and...
 Previous work.
 Objectives.
 SUBJECTS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
The sample data set used to create and test the CFSM came from a national sample of 44,730 households. At most, 2% were households from non-Caucasian, non-African-American, non-Hispanic households (Hamilton et al. 1997aCitation ). Therefore, no more than 2% of the population who responded to the Current Population Survey were Asians and Pacific Islanders. Frongillo (1999)Citation , although supporting the construction of the CFSM, cautioned that studies with subgroups of the population and studies to validate the use of the instrument for monitoring in other than national contexts were required. Furthermore, to our knowledge, research used to develop conceptual models of food insecurity did not include the diversity of Asian and Pacific Islander participants in their samples (Radimer 1990Citation , Radimer et al. 1992Citation , Wehler et al. 1992Citation ).

Asians and Pacific Islanders are a diverse ethnic category encompassing Japanese, Chinese, Koreans, Vietnamese, Cambodians, Laotians, Filipinos, Hawaiians, Samoans, Tongans, Chamorros, Hmong and others. The percentage of Asian and Pacific Islanders throughout the United States has risen from 3% of the U.S. population in 1990, to 3.7% in 1996, and is expected to increase to 5.1% by 2010 and to 8.7% by 2050 (U.S. Department of Commerce 1996Citation ). However, Asian and Pacific Islanders comprise ~50% of the population of Hawaii (Department of Business, Economic Development and Tourism 1997Citation ). Documented differences in cultural patterns, beliefs associated with food and coping behaviors among the major ethnic groups that reside in Hawaii (Palafox and Warren 1980Citation ) suggested that perceptions of food insecurity were likely to vary among Asians and Pacific Islanders.


    Previous work.
 TOP
 ABSTRACT
 INTRODUCTION
 Development of the CFSM...
 The Core Food Security...
 CFSM with Asian and...
 Previous work.
 Objectives.
 SUBJECTS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
Our initial qualitative study of 61 Caucasian, Hawaiian and part-Hawaiian, Samoan and Filipino low-income gatekeepers of households with children in Hawaii indicated that the conceptual basis of the CFSM held true for the ethnic groups we studied (Bickel et al. 1996Citation , Derrickson and Anderson 2000Citation . Qualitative findings indicated that the CFSM was likely to be valid and reliable with our target audience (Derrickson and Anderson 2000Citation ). However, Q4 "We couldn’t afford to eat balanced meals" was troubling for many respondents who asked, "What does a balanced meal mean?" When asked in return what they thought it meant, respondents described predominantly a meal with meat, starch and vegetables—no fruit, and no dairy products. However, some respondents could not define a balanced meal. Pilot findings with a sample of charitable food recipients also indicated that the CFSM was likely to be reliable and valid with Asians and Pacific Islanders in Hawaii, despite weakness with the "balanced meal" question (Derrickson 1999Citation , Derrickson et al. in pressCitation ).


    Objectives.
 TOP
 ABSTRACT
 INTRODUCTION
 Development of the CFSM...
 The Core Food Security...
 CFSM with Asian and...
 Previous work.
 Objectives.
 SUBJECTS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
The purpose of this study was to determine whether the CFSM scale measure is a reliable and valid instrument to use in Hawaii, where at least 50% of the population is of Asian or Pacific Islander descent. Thus, an independent assessment of the robustness of the CFSM was completed by replicating the Rasch analysis methods used by Hamilton and et al. (1997b)Citation with a sample from Hawaii. We originally hypothesized that the CFSM would not be an adequate scale measure to use with ethnically diverse samples in Hawaii. We specifically addressed reliability as evaluated by the SEM of the estimated food security status of the respondents as well as test retest reliability. The evaluation of validity focused on the following: 1) internal scale validity of the constructed scale, 2) person response validity of the respondents, 3) comparison of the item difficulty calibration hierarchy to theoretical models of food insecurity and 4) stability of the CSFM item hierarchy between the national and the Hawaiian samples.


    SUBJECTS AND METHODS
 TOP
 ABSTRACT
 INTRODUCTION
 Development of the CFSM...
 The Core Food Security...
 CFSM with Asian and...
 Previous work.
 Objectives.
 SUBJECTS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
Samples.

To validate the full range of food insecurity in a state in which 9.2% of the population is thought to have experienced some degree of food insecurity (Hamilton et al. 1997bCitation ), the following three samples were surveyed (n = 1664): 1) a convenience sample of 144 food pantry recipients thought likely to be hungry; 2) a retest sample that included 61of the initial 77 food pantry respondents who completed the CFSM a second time; and 3) a statewide sample of 1469 respondents gathered through the Hawaii Health Survey (HHS).

All data were collected in Hawaii between June and November 1998 using the same instrument and similar data collection methods. Before data collection, all participants confirmed verbal consent required by a university Human Subjects Review Committee.

Names and phone numbers of food pantry recipients were gathered from three nonprofit charitable food providers on O’ahu (Derrickson 1999Citation ). Data collection began with a pilot study in the summer of 1998 of 77 food pantry respondents who completed the survey once; 61 (80%) of those respondents also completed the survey again, an average of 11 d later. Data were gathered by interviewers experienced in calling households with limited resources (Derrickson et al. 1995Citation , SMS 1992Citation ). Standard telephone survey methods were used to enhance response rates and minimize interviewer bias (Lavarakas 1988Citation , SMS 1998Citation ). To the extent possible, retest interviews were conducted without knowledge of the first data collection responses.

An additional 67 food pantry participants and HHS participants were gathered from September through November 1998. The HHS is a telephone interview survey of ~3500 households each year. It is modeled after the National Health Interview Survey conducted by the National Center for Health Statistics (SMS 1998Citation ). Households were chosen randomly from local phone books. Oversampling of households residing in the counties of Maui and the Big Island of Hawaii was conducted to further study households in these districts. Once a household was chosen, the household was sent a letter from the Director of the Department of Health encouraging survey participation. Data collection of the remaining 67 food pantry respondents and data for all of the HHS respondents was administered by phone interview using a Computer-Assisted Telephone Interviewing system (SMS 1998Citation ). A complete description of the data collection methods used in the HHS are described elsewhere (SMS 1998Citation ).

Survey instrument.

We used the guide created by Price et al. (1997)Citation to direct data collection and analysis. Basic demographic information (sex, household composition and ethnic disposition) was ascertained before the food security questions. Thus, food security questions that did not apply to households without children were not asked, and the terminology "I" or "We" was used appropriately. The question "With what ethnic group do you identify with most?" was used to assess ethnicity. A total of 19 ethnic response categories were collected, including one for no response and another for "mixed" ethnicity.

The 18 food security questions were preceded by the four-part food insufficiency question (Price et al. 1997Citation ; Rose et al. 1995Citation ). Exact wording of the questions and responses was maintained and suggested "skip patterns" were employed to decrease response burden (Price et al. 1997Citation ). However, all respondents were asked the food insufficiency question and at least Q2, Q3 and Q4. Questions pertaining to use of various coping behaviors (Hamilton et al. 1997bCitation ), use of assistance programs, income-related indices and dietary indices were completed after the food security questions. Findings pertaining to additional data collected have been reported elsewhere (Derrickson 1999Citation , Derrickson et al. 2000aCitation and 2000bCitation ). In the HHS, food security questions were asked after other behavioral questions, but before seeking more in-depth responses on income and other demographics (SMS 1998Citation ).

Data analysis.

For final analysis, food security responses were coded as 0 = negative response and 1 = affirmative response (Price et al. 1997Citation ). However, instead of assuming negative responses for questions that were not answered because the participant was "screened out," we left responses to questions that were not asked blank to avoid making incorrect assumptions about the data. The ability to handle such missing data and avoid such error is an advantage of Rasch measurement models. However, if a participant responded negatively to a question with a temporal duration follow-up question, i.e., "how often did this happen?" (Q 8–8a, Q 12–12a, and Q 15–15a), a negative response was assumed for the follow-up question to standardize the number of respondents to these pairs of questions. These decisions were made after preliminary data analysis was completed because this process most accurately reflects the data and does not affect Rasch scale measures.

After preliminary assessment of the frequency responses, the following indices or reclassifications were completed to assist in data analysis. Ethnic classification were grouped into one of eight categories: Hawaiian or part-Hawaiian, Caucasian, Filipino, Japanese, Other Asian (Chinese and Mixed Asian), Samoans, Mixed or Unidentified, and a combined category of African-Americans, Hispanics and Native Americans. Using the algorithm of CFSM categorical measure (Price et al. 1997Citation ), the sum of affirmative responses and household description (with or without children), each respondent was classified into one of the following four household food security categories: food secure, food insecure without hunger, food insecure with moderate hunger and food insecure with severe hunger.

Analysis was completed with the FACETS Rasch computer program (Linacre 1994Citation ). The final sample used for Rasch analysis comprised the 362 respondents who responded affirmatively to one or more items. The 1300 who had no affirmative responses and two who had no negative responses were automatically removed by FACETS from the data set because they yielded no useful information for scale validation purposes. Inclusion of the 61 food pantry survey responses that comprised the retest sample was not viewed as a threat to validity (Wright and Stone 1979Citation ). Results without the 61 retest respondents were similar to those presented herein (Derrickson 1999Citation ).

Because concurrent presentation of findings and methods used to assess internal scale validity, person response validity and reliability of the measure is the most succinct approach, they are described conjointly in the next section. Paired comparison Student’s t test analysis and Pearson’s correlation analysis used in stability assessment were completed using SPSS (Version 6.2, SPSS, Chicago IL). The {alpha}-value was set at 0.05.


    RESULTS
 TOP
 ABSTRACT
 INTRODUCTION
 Development of the CFSM...
 The Core Food Security...
 CFSM with Asian and...
 Previous work.
 Objectives.
 SUBJECTS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
Sample characteristics.

Table 2Citation depicts the household and ethnic description of the total sample. Of the 1664 people surveyed, 999 (54.6%) indicated that they identified most with an Asian or Pacific Islander ethnic group; 954 (57.3%) were from households without children. The food pantry sample consisted of more Hawaiians than the HHS sample (41.0 vs. 14.0%, respectively), more Samoans (7.0 vs. 0.5%), more families (75.0 vs. 38.0%), fewer food secure respondents (25.0 vs. 93.2%) and more female respondents (80.5 vs. 58.2%). The pantry and retest samples were quite similar except that Samoans comprised a greater percentage of the retest sample (6.9 vs. 13.1%). Overall, 1411 (84.8%) were classified by the CFSM categorical measure as food secure, 158 (9.5%) as food insecure without hunger, 64 (3.8%) as food insecure with moderate hunger and 31 (1.2%) as food insecure with severe hunger.


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Table 2. Demographic and food security status characteristics of various samples

 
Goodness-of-fit of the items.

To evaluate internal scale validity, we examined a number of variables. First, we examined the goodness-of-fit of the items to the expectations of the Rasch model (Table 3Citation ). Q8 and Q8a "adults cut the size or skip meals/often" had infit and outfit MnSq values < 0.7 and outfit t-score values >= -2. Q4 "(un)able to eat balanced meals" had outfit MnSq values >1.2 and t-values >= 2. We therefore concluded that these items failed to meet our criteria for goodness-of-fit. The item separation index of 9.29, calculated by dividing the adjusted standard deviation of 2.29 by the real mean SEM of 0.24, indicated adequate separation of items.


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Table 3. Hawaii item measurement report of the Core Food Security Measure (CFSM) (n ;=> 362)

 
Next, as illustrated in Figure 1Citation , we compared the national scale of food security item calibration values (Table 1Citation ; Hamilton et al. 1997bCitation ) with the Hawaii scale food security item calibration values (Table 4Citation ). The respondent measures of the Hawaiian sample are depicted in the middle of Figure 1Citation . The value shown by an asterisk in Figure 1Citation represents four participants, whereas a dot (·) indicates one participant. As depicted in Table 4Citation , to determine whether there were significant differences between the two sets of item calibration values, we calculated the standardized difference (Z). A Z-value >= 2 indicates a significant difference. As shown in Table 4Citation and illustrated in Figure 1Citation , t-values for Q2, Q3, Q4, Q8, Q8a, Q11, Q15 and Q15a were significantly different. The range of the national scale was greater than that of the Hawaiian scale. As a result, items Q2, Q3, Q4, Q8 and Q8a were relatively less likely to elicit a negative response (indicating food insecurity), and Q11, Q15 and Q15a were more likely to elicit a negative response among the Hawaiian sample compared with the national sample. There were also large gaps between the item calibration values within the data for Hawaii. Most notably, the gap between Q2 and Q3 was 0.75 logit, and the gap between Q4 and the next most severe item answered by all households, Q9, was 1.80 logits.



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Figure 1. Comparison of Core Food Security Module (CFSM) item calibration values: national data vs. Hawaiian data. For respondent data, each (*) represents four respondents, each (·) one respondent. The wording of some questions was abbreviated (Price et al. 1997Citation ).

 

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Table 4. Item calibration and SEM comparisons: National1 and Hawaiian Core Food Security Module (CSFM) data (n ;=> 362)

 
Goodness-of-fit of the respondents.

To examine person response validity, we examined goodness-of-fit of the respondents to the expectations of the Rasch model. Our criterion for acceptable goodness-of-fit was similar to that used previously for item fit. Seventeen people (4.7%) "misfit" or had MnSq values >1.2 and z >= 2. An acceptable rate of misfit is 5%. As indicated in Table 5Citation , although there were no apparent differences in fit by site of the sample or by household type, 5 of the 17 misfitting persons were Samoan.


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Table 5. Person response validity: 17 misfitting respondents

 
Reliability.

To examine reliability, we examined the percentage of the total number of item ratings that misfit, the test-retest correlation coefficients between respondent scale measures at times 1 and 2 and the respondent separation index. We found the percentage of item ratings that misfit rate was 4.1% (186 of 4542 measurable responses). On the basis of an expected 5% rate of misfit, we concluded that the items were scored reliably in a manner expected by the Rasch model. Q4 "unable to eat balanced meals" was the only item to have unacceptable reliability with a misfit rate of 6.7% (24 of 357 measurable responses). Also, the respondent separation index, an index of the adjusted standard deviation of response measures to the real SEM of response measures (1.76/1.17) of 1.51, indicated that person response measures could be split reliably into only two categories (Wright and Masters 1982Citation ). [For further discussion on Rasch approaches to the examination of reliability see Fisher (1993)Citation , Wright and Stone (1979)Citation , Wright and Masters (1982)Citation ].

To assess the stability of the scale measure over time we compared the mean respondent scale measures of the 55 respondents who had scale measures at two times. Scale measures of -1.22 ± 2.04 logits at time one and -1.22 ± 2.01 logits at time two were not significantly different over time (t = -0.2, df = 54, P = 0.98). The Pearson product moment correlation coefficient of the respondent scale measures over time was r = 0.75 (P < 0.01).


    DISCUSSION
 TOP
 ABSTRACT
 INTRODUCTION
 Development of the CFSM...
 The Core Food Security...
 CFSM with Asian and...
 Previous work.
 Objectives.
 SUBJECTS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
The purpose of this research was to determine whether the CFSM scale measure is a reliable and valid instrument to use in Hawaii where at least 50% of the population is of Asian or Pacific Islander descent. Reliability refers to the "consistency or stability of an operational definition." Validity refers to the "goodness of fit between an operational definition and the concept it is purported to measure" (Singleton et al. 1993Citation ). Validity also includes goodness-of-fit between an operational definition and the response patterns of respondents to the items that comprise the operational definition. The definition of food insecurity used by the federal government is a condition that "exists whenever the availability of nutritionally adequate and safe foods or the ability to acquire acceptable foods in socially-acceptable ways is limited or uncertain" (LSRO 1990Citation ). This definition, the operational definition of food security (Bickel et al. 1996Citation ), and the responses of a sample of residents from Hawaii who demonstrated evidence of food insecurity or hunger, provide the basis for judging the validity of the CFSM scale measure in this study. Based solely on the LSRO definition of food insecurity, it is immediately apparent that the CFSM scale measure captures only the "availability of nutritionally adequate food" aspect of this definition of food insecurity, not the safety of foods or the social acceptability of food acquisition methods.

Overall internal scale construct validity and reliability.

Findings related to goodness-of-fit of the items suggest that overall, the CFSM scale defines a single construct at least as well with Hawaiian residents as it did in the national sample (Hamilton et al. 1997bCitation ). Similar questionable fit statistics indicating redundancy between Q8 "adults skip or cut the size of meals" (Outfit MnSq = 76, Z = -4.6) and the follow-up question Q8a. "How often" (Outfit MnSq = 0.77, Z = -2.6) were noted in the original national fit (Hamilton et al. 1997bCitation ). Similarly, high outfit statistics of Q2 "worried" (3.04: Z = 9.4), and Q4 (1.61: Z = 7.9) were also noted in the national fit (Hamilton et al. 1997bCitation ). That is, the threats to the unidimensionality, observed through the redundancy and relatively poor fit of a few items, were comparable between the Hawaiian and national samples, These finding may suggest a potential limitation of the CFSM scale measure that could have practical applications for food security monitoring because the CFSM categorical measure relies on reliable responses to all items for appropriate food security status categorization (Hamilton et al. 1997bCitation , Derrickson et al. 2000bCitation ).

The finding that only 4.7% of the participants misfit suggests that the majority of participants who responded were evaluated in a valid manner, consistent with the expectations of the Rasch model. Table 4Citation also indicates that the rate of misfit among households of different composition, site of sample and food security status were consistent with the proportion of respondents in these groups. However, with a total of 23 Samoan respondents, the existence of five (21.7%) misfits among this ethnic group, which is greater than the 5% that would be expected to misfit by chance, suggests an inadequate fit of the CFSM to the Samoans in this sample. However, sample size limits our confidence in this conclusion as does the relatively higher number of Samoans who were classified as experiencing either hunger among adults and/or children (47% Samoans vs. 26% overall, n = 362). Thus, it is unclear whether the high rate of misfit is because of an ethnic difference in reporting of the Samoans, or because the Samoans were more likely to demonstrate different patterns of food insecurity. Findings also indicated an acceptable level of stability of the CFSM scale measure over a mean of 11 d. McGuiness (1996)Citation also found acceptable stability of the CFSM with a national sample. Thus, overall findings indicate that, except for the Samoans, the CFSM scale measure is as reliable and valid with Asians and Pacific Islanders in Hawaii as it was in the national sample (Hamilton et al. 1997bCitation ).

Q4 "(un)able to eat balanced meals."

When we examined the items associated with a higher percentage of misfitting individuals and/or unacceptable goodness-of-fit statistics, we found Q4 "(un)able to eat balanced meals" to be ambiguous, with responses that are likely to cause random errors and lower response rates. Our previous work indicated there were different interpretations of the meaning of this question (Derrickson and Anderson, 2000Citation ), and a relatively low correlation of responses to Q4 over time (r = 0. 3, P = 0.04, n = 59) (Derrickson 1999Citation ). Thus, findings confirm that inconsistent understanding of the term "balanced meals" is likely affecting the reliability and the validity of responses to Q4. On the basis of additional qualitative work in Hawaii, we have suggested rephrasing this question to "Unable to afford to eat a meal containing starch like bread or rice (or appropriate starch), a protein-rich food like meat, milk, fish or beans, and a fruit or a vegetable" (Derrickson et al. 2000Citation ).

Respondent response validity and reliability.

If the purpose of the CFSM "is to accurately identify the extent and severity of food insecurity of the respondents" (Carlson et al. 1999Citation ), findings outlined in this study indicate that the CFSM scale measure may not be adequate in differentiating food security from relatively mild food insecurity for the following reasons:

  1. There are no items that confirm food security, but rather only items that address food insecurity; thus the categorization of true food security is made by the default position of no affirmative responses. In an ideal scale of items, a clear majority of respondents would answer one or more questions affirmatively.
  2. A majority of respondents who were classified (those with one or more affirmative responses) were classified at the least food insecure end of the scale (Fig. 1)Citation , in which a relatively large gap in the item calibration values occurs between Q2 "worried" (-4.18) and Q3 "food did not last" (-3.43).
  3. A respondent separation index of 1.51 indicates that respondents can be reliably classified into only two categories. Thus, the targeting of items appears less precise where it needs to be strongest.

When a test is developed, the developer should attempt to conceptualize a construct and then develop items that are related to that construct. An important aspect of this, which is recognized in Rasch measurement but often overlooked when using traditional models, is that the range of the difficulty of the items should parallel the ability of the people to be tested (Wright and Masters 1982Citation , Wright and Stone 1979Citation ). In common measurement terms, there is a need for easy items for less able people, and difficult items for more able people. Although there is a need for more items on the scale in which decisions are made, there is also a need for sufficient items along the remainder of the scale so as to adequately spread the people out into differing levels of ability or in this case, food security status. Although conceptual-based item development is important initially, data-based validation of that theoretical model is also required. Items thought to be good discriminators conceptually can be found not to be effective in practice, and in the case of the CSFM, there are sufficient gaps to question whether discrimination is occurring.

The need for additional items is also exemplified in criterion-mediated validity assessments between the CFSM scale measure and related variables. Rasch methods are able to estimate scale measures for respondents who answer all questions affirmatively or who do not answer any questions asked of them affirmatively. However, these estimates are associated with very large standard errors of measurement, making their validity and reliability of questionable use in practice. In a study such as this one, persons who obtain maximum or minimum total scores also do not contribute to the validation of the scale. For these reasons, in this study, out of the 1664 possible respondents, responses from only 362 (22%) were available for Rasch analysis. Thus, criterion-mediated validity assessment was limited only to these 362 rather than all 1664 respondents. Given that criterion-mediated validity cannot be confirmed confidently or understood without accurate comparisons between the most and least food secure (Frongillo et al. 1997Citation , Kendall et al. 1996Citation , Tarasuk and Beaton 1999Citation ), use of the CFSM scale measures in concurrent validity assessments without additional items confirming food security status appears limited (Derrickson et al. 2000aCitation ). If the scale measure is to be considered the "standard reference measure" of food security status using LSRO definitions of food security status, then additional items indicative of food security and mild food insecurity may have to be included.

Practical applications to food security monitoring and research.

The practical applications of previously identified limitations of the CFSM are manifested in the CFSM categorical measures and shorter food security scales (Blumberg et al. 1999Citation ). In the CFSM categorical measure, the measure currently used to assess national food security status (Nord et al. 1999Citation ), three affirmative responses are required for classification as food insecure (Hamilton et al. 1997bCitation , Price et al. 1997Citation ). Because Q3, Q4 and Q5 all cluster quite tightly within 0.75 of a logit of each other, it appears as though the conceptual basis of the measure supports affirmative responses to these measures as clearly a more severe phenomenon than Q2 "worried food would not last." Yet, is not clear why a single response indicating "worried that food would run out," which appears consistent with the definition of food insecurity (LSRO 1990Citation ), or two affirmative responses are categorized as food secure rather than food insecure. We believe these issues warrant further investigation and have begun this exploration in a subsequent research project (Derrickson et al. 2000bCitation ).

Researchers at the National Center for Health Statistics investigated using a set of six items that include questions Q3, Q4, Q8, Q8a, Q9 and Q10 (Blumberg et al. 1999Citation ) as an alternative to the 18-question CFSM categorical measure for food security monitoring. Item and respondent validity and reliability of the CSFM scale measure are paramount if it is used as the basis of smaller food security monitoring instruments. Given that the item calibration of Q8 in the Hawaii sample was > 2.0 logits different than from the original national sample (-0.78 Hawaii and -1.72 national), that Q8 and Q8a were redundant in both samples, and the previously mentioned issues with Q4, dependence on these three items (without rewording Q4) in a subscale of only six items appears problematic. Although we support the use of a shorter food security measure for food security monitoring purposes (Derrickson et al. 2000bCitation ), on the basis of the findings herein, use of the proposed six subscales for food security monitoring or research appears premature at this time.

Specific recommendations for use of the CFSM.

We used the published guidelines to direct our data collection (Price et al. 1997Citation ). These guidelines suggest utilization of "skip patterns," such as not having households continue the survey if they responded negatively to all previously answered questions. On the basis of our experience, we would recommend that those interested in basic research with the CFSM not use skip patterns because the pattern of responses is variable, and the use of skip patterns limits measurement of variable responses and requires different assumptions. If the skip patterns are employed to minimize data assumptions, we recommend that data input for missed questions should be blank rather than zero for a negative response. However, for applied uses, we believe that the decreased response burden, which lowers cost and reduces interviewer and respondent fatigue, justifies the use of skip patterns. Further research is required to compare methods of CSFM administration and data analysis.

Limitations.

Reference to the robustness of the instrument among Asian and Pacific Islanders is limited to Hawaii. Given the myriad of Asian and Pacific Islander groups and differences in acculturation within groups, additional studies are required before any conclusions on the robustness of the CFSM with different ethnic groups can be made. The small number of Samoans sampled in this study limits the certainty of any conclusions regarding the fit of the CSFM with this ethnic group. Additional research work, with Samoans of varying degrees of "Westernization," i.e., from Western Samoan, American Samoa and Samoan-Americans, is warranted.

Implications.

This is the first study to validate independently the internal scale validity and reliability of the CFSM scale measure with an ethnically diverse state sample. Findings suggest that the CSFM scale measure demonstrated internal scale construct validity, person-response validity, stability and an item hierarchy consistent with conceptual expectations (Bickel et al. 1996Citation , Radimer et al. 1992Citation ) and previous work (Hamilton et al. 1997bCitation ). Preliminary findings and implications that were shared at the Second Food Security Measurement and Research Conference (Derrickson et al. 2000cCitation ) have now been identified in part as priority areas for food security research (Economic Research Service 1999Citation ). With the exception of Samoans, our findings suggest a promising "ethnic" robustness of the CFSM among the ethnic groups studied in Hawaii, at least to the extent that the CFSM is valid nationally. These findings support the potential application of the CFSM to measure the extent and severity of food insecurity among various ethnic groups throughout the United States and in samples that are more diversified than national samples. However, identified weakness in the 18-item scale, gaps in the scale and the poor fit of Q4, Q8 and Q8a are important when considering the validity and utility of the scale measures for research and the categorical measure for food security monitoring. Revision of the wording of Q4 (Derrickson et al. 2000Citation ), and the addition of new food security and insecurity items were suggested for consideration. Given the significance of application of the CFSM, we caution that before implementing any changes in the CFSM scale of indicators, the CSFM categorical measure or the use of food security subscales, additional validation studies with diverse food insecure populations be completed.


    ACKNOWLEDGMENTS
 
We are indebted to the Hawaii State Department of Health; Office of Health Status Monitoring; SMS Survey Marketing and Research staff; University of Hawaii at Manoa, George Chee, Dwayne Makalena and various Salvation Army staff members on O’ahu who made data collection possible.


    FOOTNOTES
 
1 Presented in preliminary form at the Second Food Security Research and Measurement Conference, February 23–24, 1999, Alexandria, VA [Derrickson, J. P., Anderson, E. L. & Fisher, A.G. (2000) Assessing food insecurity with Asians and Pacific Islanders. (in press)]. Back

2 Funded in part by a grant from the Institute for Research on Poverty, University of Wisconsin, Madison, WI. Back

4 Abbreviations used: CSFM, Core Food Security Module; HHS, Hawaii Health Survey; LSRO, Life Science and Research Office; Mn Sq, mean-square residuals; Q, question; USDHHS, United States Department of Health and Human Services. Back

Manuscript received October 8, 1999. Initial review completed December 17, 1999. Revision accepted May 31, 2000.


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 ABSTRACT
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 Development of the CFSM...
 The Core Food Security...
 CFSM with Asian and...
 Previous work.
 Objectives.
 SUBJECTS AND METHODS
 RESULTS
 DISCUSSION
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