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## Revista Brasileira de Epidemiologia

##
*Print version* ISSN 1415-790X*On-line version* ISSN 1980-5497

### Rev. bras. epidemiol. vol.19 no.1 São Paulo Jan./Mar. 2016

#### https://doi.org/10.1590/1980-5497201600010012

Original Articles

Estimating weight in elderly residents in nursing homes: which equation to use?

^{I}Graduate Program in Public Health, Universidade Federal do Rio Grande do Norte - Natal (RN), Brazil.

^{II}Department of Atmospheric and Climate Sciences, Universidade Federal do Rio Grande do Norte - Natal (RN), Brazil.

^{III}Department of Dentistry at Universidade Federal do Rio Grande do Norte - Natal (RN), Brazil.

^{IV}Department of Nutrition at Universidade Federal do Rio Grande do Norte - Natal (RN), Brazil.

Introduction:

When it is impossible to measure weight in the elderly, estimation methods can be employed. However, such methods are not always applicable and can lead to estimation errors that compromise both the clinical practice and the results in epidemiological studies.

Objective:

To compare and validate weight estimation methods in the elderly living in nursing homes in Natal, Rio Grande do Norte, Brazil.

Methods:

The equations were evaluated qualitatively, by the reproducibility of the measurements that comprised them, and quantitatively, by the mean difference between the measured and the estimated weights, using Student's *t* -test for paired samples or ANOVA, the coefficient of determination (R²), root mean square error (RMSE), intra-class correlation coefficient (ICC) and graphical analysis of residuals. The significance value adopted was of *p* < 0.05. It was considered applicable when the equation presented R² > 0.7; lowest RMSE among the evaluated equations; ICC > 0.7; and respective 95% confidence interval with less distance between the upper and lower limits.

Results:

We evaluated 315 elderly from 10 nursing homes in Natal. The mean body weight was higher in the younger elderly and those without mobility restriction. The qualitative analysis showed the equation 5 as having the best reproducibility, since it does not use skinfold measurements. The quantitative analysis revealed the equation 5 as the one with the best applicability across the studied population and in the different genders, age groups (60 - 69 years, 70 - 79 years, and 80 years or more), and mobility restriction conditions.

Conclusion:

The equation 5 was applicable for estimating weight in the evaluated population and in the different strata analyzed.

**Keywords: **Cross-sectional studies; Validation studies; Health of the elderly; Nutritional status; Nutrition assessment; Anthropometry.

Introdução:

Na impossibilidade de mensuração do peso em idosos, métodos de estimativa podem ser empregados. Entretanto, tais métodos nem sempre são aplicáveis, podendo levar a erros de estimativa que comprometem tanto a prática clínica quanto resultados em estudos epidemiológicos.

Objetivo:

Comparar e validar métodos de estimativa de peso em idosos residentes em instituições de longa permanência de Natal, Rio Grande do Norte.

Métodos:

Avaliaram-se as equações qualitativamente pela reprodutibilidade das medidas que as compunham e, quantitativamente, pela diferença média entre o peso mensurado e os estimados, e utilizado o teste *t* de Student para amostras pareadas ou ANOVA, coeficiente de determinação (R²), raiz do erro quadrático médio (REQM), coeficiente de correlação intraclasse (CCI) e análise gráfica de resíduos. Adotou-se como valor de significância p < 0,05. Considerou-se aplicável quando a equação apresentava R² > 0,7; menor REQM dentre as equações avaliadas; CCI > 0,7; e respectivo intervalo de confiança 95% com menor distância entre os limites inferior e superior.

Resultados:

Avaliaram-se 315 idosos de 10 instituições de longa permanência de Natal. O peso corporal médio foi maior nos idosos mais jovens e sem restrição de mobilidade. A análise qualitativa mostrou a equação 5 como a de melhor reprodutilidade, uma vez que não utiliza medidas de dobras cutâneas. A análise quantitativa revelou a equação 5 como a de melhor aplicabilidade em toda a população avaliada e nos diferentes sexos, faixas etárias (60 a 69 anos, 70 a 79 anos e 80 anos ou mais) e condição de restrição de mobilidade.

Conclusão:

A equação 5 foi aplicável para a estimativa de peso na população avaliada e nos diferentes estratos analisados.

**Palavras-chave: **Estudos transversais; Estudos de validação; Saúde do idoso; Estado nutricional; Avaliação nutricional; Antropometria.

INTRODUCTION

Elderly is a phase of life marked by the intensification of the physical and functional decline. In this group, especially institutionalized elderly are the ones that have more vulnerability and compromise of the autonomy and independence^{1}. When combined to physiological alterations characteristic of aging and morbidities prevalent in this phase of life, such as chronic diseases, among others, the nutritional status (NS) can be affected, resulting in anthropometric and nutritional deficits or overweight, further damaging the health^{2}. Thus, the assessment of NS is an important tool in monitoring the nutritional status.

The body weight, which composes the body mass index (BMI), is the main measurement used in the anthropometric evaluation. Weight alterations reflect imbalance between food ingestion and consumption. The involuntary weight loss is intimately linked with the frailty syndrome in the elderly and is characterized by decreasing physiologic reserves and deficits capable of causing adverse effects to the health, such as falls, worsening of diseases, functional disability, comorbidities, hospitalization, prolonged institutionalization, and death^{3}^{,}^{4}.

Despite the importance of this measurement in monitoring the NS and health treatments, the weight measuring is harder in elderly people with mobility restriction. In such cases, weight can be estimated from other anthropometric measurements^{5}. The main methods used in the scientific literature are weight estimation protocols and equations developed by Chumlea et al.^{6} These equations were developed for American elderly people, from white ethnicity, ages between 65 and 104 years. In Brazil, only one measurement protocol was developed^{7}, being carried out with hospitalized patients, with ages between 32 and 66 years. We point out that the application of these equations must take into account the compatibility of the characteristics between the population that originated the methods and the population one intends to assess.

The estimation equations, when not applicable to a particular individual or population, can lead to estimation errors both in the clinical practice and in epidemiological surveys. Inadequate weight estimation can lead to drug and dietary therapies that do not meet individual and/or collective needs. Given the importance of the applicability of simplified methods for early detection of possible alterations in the anthropometric NS in institutionalized elderly, this study aimed to compare and validate weight estimation methods in elderly residents of nursing homes for the elderly (NH). In this sense, the study aims to contribute to the monitoring of anthropometric NS for future nutrition interventions and to support recommendations about methods for estimation of body weight in this population.

METHODS

This is a cross-sectional study with a census characteristic carried out with elderly residents of a NH in Natal, Rio Grande do Norte, Brazil, in the period from October 2013 to June 2014. At the beginning of the study, 14 NH were registered in the Coordination of Health Surveillance (COVISA) of the municipality, with the population of 409 elderly people. NH residents aged 60 years or over and that were present at the time of the data collection were included in the study. Individuals with amputated limbs or physical disability that prevented the measuring of anthropometric measurements, such as the presence of sacral pressure ulcers and post-operative orthopedics, were excluded from the study.

A technical team composed of two previously trained and calibrated anthropometrists performed the data collection. The calibration was done using intra- and inter-evaluator technical error of measurement (TEM), adopting the classification of experienced anthropometrist proposed by Pederson and Gore^{8} as the percentage of error acceptable for the anthropometrists to be fit for field collection.

The following anthropometric measurements were taken: perimeter of the arm (AP), calf (CP), and waist (WP); subscapular skinfold (SS); and knee height (KH). The measurement protocol of the anthropometric measurements followed the one proposed by each author for the preparation of the estimation methods. All the measurements were evaluated in duplicate, with each measure being measured once and subsequently repeated in the same sequence, starting with the upper limbs, the trunk, and then the lower limbs. Those measurements were taken with an anthropometric measuring tape (Sanny^{(r))} of 150 cm for the perimeter measurements; a Lange^{(r)} scientific plicometer, with accuracy of 1.0 mm for the skinfolds; and one anthropometer of 100 cm for the KH. In addition to these measurements, we measured the body weight, in the elderly people that strolled with a Balmak^{(r)} electronic scale, with capacity of 300 kg and accuracy of 50 g. In the bedridden elderly people, the body weight was measured with the SECA^{(r)} 985 scale (bed scale and electronic dialysis with equipment cart).

We used the observed weight as a standard measurement for comparison of the weight estimation equations. The estimated weight was calculated from the perimeters and skinfold measurements using the Equations 1, ^{2} and ^{3}, according to Chumlea et al.^{6}:

And using the Equations 4, ^{5}, and ^{6}. according to Rabito et al.^{7}:

In which:

W |
= weight; |

AP |
= arm perimeter (cm); |

WP |
= waist perimeter (cm); |

CP |
= calf perimeter (cm); |

SS |
= subscapular skinfold (mm); |

KH |
= knee height (cm); |

GENDER |
= 1 if masculine, 2 if feminine. |

The data were analyzed using IBM SPSS^{(r)} version 14.0 for Microsoft Windows^{(r)}. In the characterization of the sample, the entire study population was assessed and stratified by gender (male and female), age group (60 - 69 years, 70 - 79 years, and 80 years or more) and mobility restrictions (with and without). In order to evaluate the quality of the anthropometric measurements collected, a test for difference in means was performed, using the Student's *t-* test for independent samples with the variables gender and mobility restriction and ANOVA for the variable age group (60 - 69 years, 70 - 79 years, and 80 years or more).

The evaluation of the estimation equations proposed by Chumlea et al.^{6} and Rabito et al.^{7} was carried out by qualitative and quantitative methods. Qualitatively, the equations were analyzed from the plausibility and easiness to measure an anthropometric measurement that composes the estimation method and the reproducibility of the measurement. A score was given from the TEM calculated in the calibration of the anthropometrists that were examiners. The score was assigned from the weighted mean of the intra-evaluator TEM values among two evaluators (weight 1 for each) and the inter-evaluator TEM (weight 2). A score of value 1 was established for each anthropometric site that had an average TEM greater than or equal to 1.

Quantitatively, we evaluated the weight observed by the anthropometrists and the one estimated by the equations of Chumlea et al.^{6} and Rabito et al.^{7} using descriptive analysis, mean difference between measured and estimated values, and respective confidence interval of 95% (95%CI) and Student's *t* -test for paired samples. In the concordance analysis, we used the coefficient of determination (R²), RMSE, ICC, and their respective 95%CI. To verify the magnitude of the errors of each equation, we used the graphical analysis of standardized residuals, and the Kolmogorov-Smirnov test was used to verify the compliance of the residuals to the normal curve. We adopted p < 0.05 as a significance level for all the analyses. We considered an estimation method applicable for a particular group when R² was greater than 0.7; had the lowest RMSE among the evaluated methods; ICC higher than 0.7; respective 95%CI with smaller distance between the upper and lower limits; and when there was homogeneity of variance in the graphic residual analysis.

The study was approved by the Research Ethics Committee at Universidade Federal do Rio Grande do Norte, Natal, Rio Grande do Norte, Brazil, under the document 308/2012 (CAAE 0290.0.051.000-11).

RESULTS

Four NH refused to participate in the study, as well as 1 nonprofit and 3 profit organizations, resulting in the loss of 77 individuals. Of the elderly that met the eligibility criteria, we considered 17 losses associated with rejection, resulting in 315 elderly individuals evaluated, in 10 NH in the city of Natal. The proportion of losses amounted to 22.9% in relation to the individuals eligible to participate in the study.

The majority of the individuals evaluated were female (76.8%). In terms of age group, we verified a significant decrease in weight with increasing age, with an average reduction of 4.06 kg for every decade. The mean age of the elderly people with mobility restriction was significantly higher than that ones without mobility restriction. Concerning body weight, the elderly without mobility restriction had a mean weight about 10 kg higher than those with mobility restrictions (Table 1).

SD: standard deviation; ^{a} statistically significant *p*-value for *t* test of difference of means between male and female genders; ^{b} statistically significant *p* value for ANOVA between age groups; ^{c} statistically significant p-value for *t* test of difference of means between the groups with and without mobility restrictions.

The qualitative analysis of weight estimation equations showed that the weighted means of the TEM for the SS and arm perimeter measurements scored higher than or equal to 1. The estimation methods with lower scores were the equations of Rabito et al.^{7} (Equations 5 and ^{6}) and Chumlea et al.^{6} (Equation 1). In these equations, only the arm perimeter presented a mean TEM higher than or equal to 1.

The analysis of the estimation equations in the entire studied population enabled us to verify an underestimation of weight with the use of the equations of Chumlea et al.^{6} (Equations 1, ^{2} and ^{3}) and an overestimation with the equations of Rabito et al.^{7} (Equations 4, ^{5} and ^{6}). The equation of Chumlea et al.^{6} (Equation 2), which showed a lower mean difference, underestimated the weight in about 5 kg. The equation of Rabito et al.^{7} (Equation 5) showed the lowest mean difference, overestimating the weight in 2.3 kg, a difference considered statistically significant (Figure 1).

In the analysis by gender, similarities in the results were found. However, the mean differences between the observed and estimated weights were higher for females, with the exception of the equation of Rabito et al.^{7} (Equation 5), which had the same mean difference value. The estimates from the equation of Rabito et al.^{7} (Equations 4 and ^{6}) for males were the only ones that showed no statistically significant difference between the observed and estimated weights (Figure 1).

In the analysis by age group, we found that the mean differences observed with the use of the equations of Chumlea et al.^{6} (Equations 1, ^{2} and ^{3}) were greater as the age increased. Only the equation of Chumlea et al.^{6} (Equation 2) did not have statistical difference for elderly between 60 and 69 years. Among the equations of Rabito et al.,^{7} the Equation 5 showed the lowest mean difference (Figure 1).

Regarding mobility restriction, a great mean difference was observed between the observed and estimated weights using the equations of Chumlea et al.^{6} (Equations 1, ^{2} and ^{3}). This mean difference was higher in the individuals with mobility restrictions, with underestimation of 6.8 - 9.2 kg. The equations of Rabito et al.^{7} (Equations 4, ^{5} and ^{6}) showed high mean difference in the groups with and without mobility restriction. The equation of Rabito et al.^{7} (Equation 5) was the one that had the lowest mean difference, overestimating the weight in 2.2 kg (p < 0.05) for the elderly without mobility restriction and in 2.5 kg for the elderly with mobility restriction (p < 0.05) (Figure 1).

The concordance analysis enabled us to verify that the equation of Rabito et al.^{7} (Equation 5) was the one with the better applicability considering the entire population evaluated and also if stratifying by gender, age group, and mobility restriction. We stress that, for males, the equation of Chumlea et al.^{6} (Equation 3) and the equations of Rabito et al.^{7} (Equations 5 and ^{6}) satisfied the applicability conditions. Among the elderly participants aged 60 - 69 years, the equation of Chumlea et al.^{6} (Equation 2) stood out (^{Tab}
le 2).

R^{2}: confident of determination; RMSE: root mean square error; ICC: intra-class correlation coefficient; 95%CI: confidence interval of 95%. Eq. 1, ^{2} and ^{3} (Chumlea et al.^{6}); Eq. 4, ^{5} and ^{6} (Rabito et al.^{7}).

The normality of the residuals was only verified in the equation of Chumlea et al.^{6} (Equation 3) (p = 0.094). As for the graphical analysis, we observed that the graphics generated by the methods of Chumlea et al.^{6} (Equations 1, ^{2} and ^{3}) were very similar to each other, and the same happened with Rabito et al.^{7} (Equations 4, ^{5} and ^{6}). The equations of Chumlea et al.^{6} (Equations 1, ^{2} and ^{3}) had more outliers below -3 standard deviations (SD), while the equation of Rabito et al.^{7} (Equation 5) had more outliers above +3 SD. With the graphical analysis, it was possible to observe an increase in the dispersion in an increasing manner in the Equations 1, ^{2} and ^{3},^{6} indicating violation of the assumption of homogeneity of variance (Figure 2).

DISCUSSION

This study presented a census characteristic and is pioneer in comparing and validating weight estimation methods in elderly residents in nursing homes, in addition to presenting the ICCs between the most appropriate equations for estimating weight in this population.

The choice to use the equations of Rabito et al.^{7} (Equations 4, ^{5} and ^{6}) is justified by the similarity between the hospitalized and the institutionalized populations, besides the ethnicity, since it is a national study. When choosing a weight estimation method to be used in a given individual, it is necessary to consider factors related to the person that is being evaluated and the evaluator. Regarding the evaluator, it is necessary that this person is trained for the collection of anthropometric measurements and has in hands calibrated equipments for proper measuring of the anthropometric site to be measured.

The qualitative analysis showed that the equations that did not use skinfold measurements showed greater reproducibility, since these are difficult to standardize. The classification of TEM itself has different values among skinfolds and other anthropometric measurements, with accepted TEM values for skinfolds being higher than those for other measurements^{9}.

The practice of data collection enabled us to observe that the anthropometric measurements in the back of the body are difficult to take, due to the positioning of the elderly in the bed. Often, due to the fragile condition of the institutionalized elderly people, it is not possible to mobilize them to the adequate position for taking measurements. Therefore, a good estimation equation should prioritize anthropometric measurements that are easy to apply, and the equations that include measures of SS and WP should be left out or used when the elderly individual offers conditions to measure them properly.

Regarding the quantitative assessment of weight estimation equations, we found that the equations proposed by Chumlea et al.^{6} (Equations 1, ^{2} and ^{3}) had lower mean values than the observed weight, whereas the equations proposed by Rabito et al.^{7} (Equations 4, ^{5} and ^{6}) had higher mean values. A study by Barcelo et al.^{10} evaluated the accuracy of the weight estimated by the equation of Chumlea et al.^{6} (Equation 3) with the observed weight in Spanish elderly hospitalized people that had a mean age of 83.6 ± 6.6 years and that could stand. They observed that the equation of Chumlea et al.^{6} (Equation 3) underestimated the weight as 7.4 kg, a higher value than the one observed in the present study.

A validation study carried out with hospitalized patients showed good concordance between observed and estimated weights, using the equations of Rabito et al.^{7}. A survey carried out with 30 Brazilian elderly women^{11} evaluated the equation of Chumlea et al.^{6} (Equation 3). The authors did not observe a significant difference and indicated this equation for estimating the weight in the elderly, although they recognize the interference of sample size and analysis of one gender as a limitation of the study. The same result was found by Sampaio et al.^{12}.

The concordance analysis showed that the equation of Rabito et al.^{7} (Equation 5) had better applicability considering the entire population and the strata (gender, age and mobility restrictions). We observed that, for the elderly women, of 80 years old or more and with mobility restrictions, the other analyzed equations lost precision, with their applicability being questionable in these groups. It is worth noting that these groups had higher mean difference between observed and estimated weights. Similar results observed showed that these groups constituted the same individuals, considering the elderly women are the most long-lived and, hence, the ones that have greater mobility restrictions, due to the intensification of the physical and functional decline after 80 years of age^{13}.

This result can be attributed to the characteristics of the population from which the equations were developed. The study of Chumlea et al.^{6} was developed from a sample of healthy elderly people and that had no mobility restriction. The study by Rabito et al.^{7} evaluated hospitalized individuals older than 18 years. Both the studies showed possible bias for the estimation of the weight of elderly patients evaluated in this study. While the equations of Chumlea et al.^{6} (Equations 1, ^{2} and ^{3}) have divergences regarding ethnicity and mobility restriction, the ones of Rabito et al.^{7} (Equations 4, ^{5} and ^{6}) were developed with elderly people between 60 and 66 years, an age group that does not include much of the institutionalized elderly. Despite the differences between the populations evaluated in these studies, the equation of Rabito et al.^{7} (Equation 5) is the most applicable for estimating the weight in institutionalized elderly, due to the hospitalization conditions comparable to institutionalization in the reality of the studied NH^{14}.

Only the residuals from the equation of Chumlea et al.^{6} (Equation 3) presented adherence to the normal distribution. However, the differences observed in this equation and the other ones of Chumlea et al.^{6} showed increasing dispersion, indicating that as higher the individual's weight, as greater is the error of the equation. In turn, the Rabito et al.^{7} equations (Equations 4, ^{5} and ^{6}) exhibited homoscedasticity and, thus, there is no relationship between the error and weight of the individual. As this is a heterogeneous population, with as deficits as excesses in body weight, the equations of Rabito et al.^{7} (Equations 4, ^{5} and ^{6}) provide more accurate estimates, independently of the anthropometric nutritional status.

Proper assessment of weight is essential, since it is a basic measure, which is part of the evaluation of NS indicators, such as BMI and mini nutritional assessment (MNA). The use of a non-applicable estimation method can lead to systematic measurement errors. We stress also that the monitoring of malnutrition is mandatory in NH in Brazil. The body weight is one of the indicators used to detect malnutrition^{15}, as isolated (% weight loss), as in a composition of indexes or scores of anthropometric nutritional status. In the clinical practice, such errors can result in inadequate dietetics and/or drug interventions. In turn, these inadequacies can increase the nutritional risk and morbi-mortality. In the public health practice or in epidemiological studies, estimates from methods not validated for the study population can lead to the inadequate assessment of the studied population profile, causing misleading results and planning of health actions. When there is no validated method for the studied population, it is preferable not to estimate the weight and/or height than to estimate those using questionable methods. Thus, the use of the other indicators, such as perimeters and/or skinfolds, provides more reliable information about the nutritional status.

CONCLUSION

The equation of Rabito et al.^{7} (Equation 5) was the one with best applicability for the entire population and the different strata that were analyzed. It is necessary to carry out other studies to assess the applicability of the estimation methods in this population. In addition, it is imperative to carry out new researches that develop weight predictive equations specific for the Brazilian elderly population. It is worth noting that we must include institutionalized elderly or those that have similar conditions in the populations of these studies. This initiative is necessary so that these methods are applicable to this population.

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Received: December 18, 2014; Accepted: June 15, 2015