EDIO LUIZ PETROSKI
DESENVOLVIMENTO E VALIDAÇÃO DE EQUAÇÕES GENERALIZADAS PARA A ESTIMATIVA DA DENSIDADE CORPORAL EM ADULTOS
TESE DE DOUTORADO
Santa Maria, RS - Brasil 1995
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P497d
Petroski, Edio Luiz Desenvolvimento e validação de equações generalizadas para a estimativa da denside corporal em adultos. / Edio Luiz Petroski. - Santa Maria, 1995. xvii, 124f. Tese (doutorado) - Universidade Federal de Santa Maria, 1995. 1. ANTROPOMETRIA. 2. CÁLCULO. 3. EQUAÇÕES. 4. DENSIDADE CORPORAL. 5. ADULTOS. I. Título. CDU: 572.087:517-053.8 CDD: 573.6
Ficha catalográfica elaborada por Maristela Hartmann - CRB 10/737 Biblioteca Central - UFSM
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ii
DESENVOLVIMENTO E VALIDAÇÃO DE EQUAÇÕES GENERALIZADAS PARA A ESTIMATIVA DA DENSIDADE CORPORAL EM ADULTOS
por
Edio Luiz Petroski
________________________
Tese Apresentada ao Programa de Pós-Graduação em Ciência do Movimento Humano da Universidade Federal de Santa Maria (RS), Como Requisito Parcial à Obtenção do Título de Doutor em Ciência do Movimento Humano
Santa Maria, RS, Brasil
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iii
UNIVERSIDADE FEDERAL DE SANTA MARIA PROGRAMA DE PÓS-GRADUAÇÃO EM CIÊNCIA DO MOVIMENTO HUMANO
A COMISSÃO EXAMINADORA, ABAIXO ASSINADA, APROVA A TESE
DESENVOLVIMENTO E VALIDAÇÃO DE EQUAÇÕES GENERALIZADAS PARA A ESTIMATIVA DA DENSIDADE CORPORAL EM ADULTOS
ELABORADA POR EDIO LUIZ PETROSKI
COMO REQUISITO PARCIAL PARA A OBTENÇÃO DO GRAU DE DOUTOR EM CIÊNCIA DO MOVIMENTO HUMANO: CINEANTROPOMETRIA
COMISSÃO EXAMINADORA: _________________________________________ Dr. Cândido Simões Pires-Neto Orientador _________________________________________ Dr. José Henrique Souza da Silva _________________________________________ Drª. Maria de Fátima da Silva Duarte
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iv
Santa Maria, 30 de junho de 1995.
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v
AGRADECIMENTOS
Gostaria de agradecer a todos os que, de alguma forma, contribuíram para a realização deste estudo e, em particular: Ao
Prof.
dedicação,
Dr.
Cândido
participação,
Simões
incentivo
e
Pires-Neto, seriedade
pela
com
que
conduziu a orientação deste estudo. Aos professores Drª. Maria de Fátima da Silva Duarte, Dr. Markus Vinícius Nahas e Dr. José Henrique Souza da Silva, pelas valiosas sugestões dadas no desenvolvimento do estudo. Ao Dr. Victor Keihan Rodrigues Matsudo, membro da banca
examinadora,
pelo
incentivo
desde
o
estágio
no
CELAFISCS. Aos
colegas
Nívia
Márcia
Velho
e
Ciro
Romélio
Rodriguez Añes, pela ajuda nos trabalhos realizados durante o curso e pela amizade. Aos Desportos
professores da
Metodologia
UFSC,
em
Desportiva,
do
Centro
especial que
de aos
tornaram
Educação do
Física
Departamento
possível
a
e de
minha
participação neste doutorado. Ao órgão que forneceu o suporte financeiro, Fundação de
Amparo
à
Pesquisa
no
Rio
Grande
do
Sul
(FAPERGS),
facilitando-me facilitando-me a realização do Curso de Pós-Graduação. E, finalmente, aos colegas da área de Cineantropometria, pelo carinho e atenção com que sempre me receberam.
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vi
RESUMO
DESENVOLVIMENTO DESENVOLVIMENTO E VALIDAÇÃO DE EQUAÇÕES PARA A ESTIMATIVA DA DENSIDADE CORPORAL EM ADULTOS
Autor: Edio Luiz Petroski Orientador: Prof. Dr. Cândido Simões Pires-Neto.
Este estudo teve dois objetivos principais: Primeiro desenvolver
e
validar
equações
generalizadas
para
a
estimativa da densidade corporal (D) em mulheres e homens, entre
18
e
66
anos
de
idade,
usando
diversas
medidas
antropométricas e peso hidrostático; Segundo - verificar a validade de equações generalizadas e específicas de outros investigadores para a estimativa da densidade corporal na amostra estudada. Para tanto, participaram do estudo 672 sujeitos, sendo 281 mulheres, entre 18 e 51 anos ( x = 27,46 ±
7,58 anos),
e 391
homens,
( x = 30,17 ± 9,78 anos). A
entre
18
e
66 anos de idade
técnica de regressão múltipla,
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vii
para mulheres variaram de 0,827 à 0,864 com EPE de 0,0064 à 0,0070 g/ml; e para os homens de 0,871 à 0,896 com EPE de 0,0070 à 0,0076 g/ml. Para a validação das equações, foi utilizada
uma
amostra
de
68
mulheres
e
87
homens.
As
correlações ( r ) entre a densidade mensurada (Dm) e a densidade estimada (De), através das equações desenvolvidas para as mulheres, ficaram entre 0,705 e 0,779; os ETs e EPEs médios encontrados foram iguais ou menores a 0,0074 e 0,0072 g/ml, respectivamente. Já, para os homens, as correlações ficaram entre 0,732 e 0,880. Os ETs e EPEs médios foram iguais
ou
menores
respectivamente. seguintes
Os
conclusões:
que
0,0085
resultados 1)
As
g/ml,
deste equações
estudo
para
ambos,
sugerem
desenvolvidas
as são
válidas para a estimativa da D em mulheres e homens adultos, heterogêneos em termos de idade e composição corporal; 2) As equações que usam a soma e o quadrado da soma de quatro dobras cutâneas (subescapular, tricipital, supra-ilíaca e panturrilha medial), equação equação nº F9 para as mulheres e equação nº M7 para os homens, têm as vantagens de praticabilidade e simplicidade para estudo de grandes grupos populacionais; 3)
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viii
soma de sete dobras cutâneas (DCs) e as circunferências do antebraço e do abdômen, e a de três DCs, de JACKSON e POLLOCK (1978), bem como as específicas (equações de nº 24 à 28) de GUEDES (1985) e a de SLOAN (1967). E, finalmente, foram as equações generalizadas, generalizadas, que se mostraram mais acuradas que as específicas, na estimativa de valores da D, na amostra do presente estudo. UNIVERSIDADE FEDERAL DE SANTA MARIA PROGRAMA DE PÓS-GRADUAÇÃO EM CIÊNCIA DO MOVIMENTO HUMANO Tese de Doutorado Santa Maria, 30 de junho de 1995.
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ix
ABSTRACT
DEVELOPMENT AND VALIDATION OF EQUATIONS TO ESTIMATE BODY DENSITY IN ADULTS
Author: Edio Luiz Petroski Adviser: Prof. Dr. Cândido Simões Pires-Neto
This study had two main objectives: a) to develop and validate generalized equations to estimate body density (D) in men and women between ages 18 and 66 years, from the central region of Rio Grande do Sul State, RS, and the coastal region of Santa Catarina State, SC, using anthropometric measurements and
hydrostatic
generalized
and
weighing; specific
b)
to
verify
equations
the
developed
validity by
of
other
investigators to estimate D in the above sample. From the total of 672 subjects who participated in the study, 281 were women between 18 and 51 years old ( x = 27,46 ± 7,58 years), and 391 were men between ages 18 and 66 years ( x = 30,17 ± 9,78 years). The Multiple Regression Stepwise technique was
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x
(CE), total error (TE), standard error of estimatate (SEE). Paired
t-test
was
used
to
compare
differences
between
estimated and measured means. Sixteen generalized predictive equations of D were proposed for each sex. The Multiple Correlations ( R ) of the equations for women varied from 0.827 to 0.864 with a SEE of 0.0064 to 0.0070 g/ml; and for men 0.871 to 0.896 with a SEE of 0.0070 to 0.0076 g/ml. To validate the equations, a sample of 68 women and 87 men were used. The correlations ( r ) between the measured body density (Dm) and the estimated body density (De) for the developed equations for women, ranged from 0.0705 to 0.779, the mean ET and SEE found were equal or smaller than 0.0074 and 0.0072 g/ml, respectively. The results of this study suport the following conclusions: 1) the developed equations are
valid
to
estimate
D
in
women
and
men
who
are
heterogeneous in terms of age and body composition; 2) the equations that use the sum and the square sum of the four skinfolds (mm) measures (subscapular, triceps, suprailiac oblique and calf), for women, equation No. F9, and for men, equation No. M7 have the advantage of practicability and
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xi
those with the sum and the square sum of seven skinfolds and the forearm and waist girths, and equation No. 7 with use three skinfolds of JACKSON & POLLOCK (1978), as wel as the specific equations (No. 24 to 28) of GUEDES (1985) and the equation of SLOAN (1967). Finally, the generalized equations were more precise than the specific equations to estimate body density of subjects of this study.
FEDERAL UNIVERSITY OF SANTA MARIA GRADUATION PROGRAM IN SCIENCE OF HUMAN MOVEMENT Doctoral Thesis Santa Maria, june 30, 1995.
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xii
Í N D I C E Páginas LISTA
DE
ANEXOS
........................................
DE
SIGLAS
........................................
DE
TABELAS
.......................................
xiii LISTA xv LISTA xvii
Capítulo I.
O
PROBLEMA
E
SUA
IMPORTÂNCIA
....................
1 1 6 9 9
Introdução....................................... Relevância Objetivos Questões
do do
Estudo............................. estudo..............................
Investigadas............................
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xiii
dade
34
Medidas Antropométricas mais Utilizadas em Equações Estimativas da Densidade corporal........
44 46
III.
PROCEDIMENTOS Modelo
46
do
Seleção
46
METODOLÓGICOS
.....................
Estudo.................................
dos
sujeitos.............................
População.....................................
46
Amostra.......................................
47
Protocolo
48
de
mensuração..........................
Mensuração
48
Antropométrica.....................
Mensuração
55 59 60 60
Corporal.................................
Peso
Hidrostático...............
Composição
Corporal..............................
Fidedignidade
das
Análise IV.
do
dos
RESULTADOS
E
Mensurações....................
Dados................................ DISCUSSÃO
..........................
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xiv
91 95 96
Sumário.......................................... Conclusões....................................... Recomendações....................................
REFERÊNCIAS 97
BIBLIOGRÁFICAS...............................
ANEXOS................................................... 105
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xv
LISTA DE ANEXOS Páginas I. 106 II. 107
Equações de KACTH & McARDLE (1973) para estimar a Densidade Corporal em Universitários de Ambos os Sexos.............................................. Equações de POLLOCK et al (1975) para Estimar a Densidade Corporal de Mulheres Jovens (n = 83) e de Meia-Idade (n = 60) ...............................
III. Equações de POLLOCK et al (1976) para Estimar a Densidade Corporal em Homens Jovens (n = 95) e de Meia-Idade (n = 84)................................ 108 IV. 109 V. 110 VI.
Equações de DURNIN & RAHMAN (1967) para Estimar a Densidade Corporal em Jovens e Adultos de Ambos os Sexos.............................................. Equações de GUEDES (1985) para Estimar a Densidade Corporal em Universitários de 17-27 anos (n = 110). Equações de GUEDES (1985) para Estimar a Densidade Corporal em Universitárias de 17-29 anos (n = 96)..
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xvi
XII. 116
Estudos de Validação Aplicados à Equação de SLOAN (1967)............................................
XIII. Equações de FORSYTH & SINNING (1973) para Estimar a Densidade Corporal em Atletas Jovens do Sexo Masculino......................................... 117 XIV. 118 XV. 119 XVI.
Fidedignidade das Mensurações Antropométricas e do Peso Submerso (n = 20)............................ Características Antropométricas das Amostras do Sexo Feminino .................................... Páginas Características Antropométricas das Amostras do Sexo Masculino....................................
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xvii
LISTA DE SIGLAS C(s) = circunferência (s) CAT = C do antebraço CBR = C do braço CAB = C do abdômen CCX = C da coxa CPM = C da perna D(g/ml) = densidade corporal Da = densidade da água De (g/ml) = densidade estimada
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xviii
ET(s) = erro(s) total(ais) EPE(s) = erro(s) padrão (ões) de estimativa ID = idade em anos MC e/ou P = massa corporal e/ou peso corporal MCM = massa corporal magra MG = massa de gordura Pa = peso na água PH = pesagem hidrostática VR = volume residual %G = percentual de gordura
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xix
LISTA DE TABELAS Páginas 01. Valores de Referência Humana da Densidade e Composição Corporal Elaborados a Partir da Análise Química de Cadáveres.................. Cadáveres................................... ................. 02. Dobras Cutâneas mais Utilizadas em 74 Equações para Estimar a Densidade Corporal em Jovens e Adultos.... 44 03. Características Descritivas das Amostras do Sexo Feminino ........................................... 64 04. Equações Generalizadas para a Estimativa da Densidade Corporal em Mulheres com Idade entre 18 e 51 Anos................................................ 65
15
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CAPÍTULO I
O PROBLEMA E SUA IMPORTÂNCIA
Introdução A análise da composição corporal é a quantificação dos principais componentes estruturais do corpo humano. O tamanho e a forma corporais são determinados basicamente pela carga
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2
pessoas vivas foram desenvolvidos, utilizando o conceito de referência corporal derivado do método direto. Esses métodos indiretos podem ser realizados tanto em laboratório quanto em campo. Os métodos laboratoriais incluem: a
densitometria,
contagem
de
potássio-40,
impedância
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3
A antropometria envolve o uso dessas medidas isoladas e/ou a combinação de algumas, em equação de regressão para estimar a D, tendo como critério os métodos laboratoriais. O método de pesagem hidrostática (PH) para a estimativa da D tem sido
o
critério
laboratorial
mais
utilizado
(JACKSON
&
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4
utilizado
para
o
desenvolvimento
das
equações.
Diversos
pesquisadores têm mostrado que o relacionamento entre DC e D não é linear mas sim curvilinear (DURNIN & WOMERSLEY, 1974, CHIEN, PENG, CHEN, HUANG, CHANG & FANG, 1975; JACKSON, POLLOCK & WARD, 1980); b) a idade é um preditor independente da D,
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5
população, além de validação com equações similares baseadas em resultados de diferentes estudos. No entanto, observa-se, em nosso meio, que diversas equações, eventualmente, são utilizadas para estimar a D em vários
segmentos
da
população
brasileira,
sem
qualquer
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6
da soma de escores de dobras cutâneas para caracterizar a adiposidade em escolares, atletas e não atletas. O uso da soma de medidas de Dcs também é recomendada por
McARDLE, et al
(1992). Assim, o problema aparente é identificar quais equações
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7
FRANKEL,
1956;
YOUNG
&
BLONDIN,
1962;
SLOAN
et
al
1962;
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8
Diversas pesquisas têm mostrado que o envelhecimento
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9
generalizadas
para
a
determinação
desta
variável
tão
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10
2
A amostra utilizada foi constituída por sujeitos
voluntá-
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11
Composição
corporal
-
Refere-se
à
divisão
do
corpo
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42
27,8 anos de idade. Utilizaram as equações generalizadas de Jackson et al (1980), com sete DCs, e a de circunferência de Tran & Weltman (1989). Embora
nas duas equações o erro padrão
tenha sido relativamente baixo (< 5%), a equação de Jackson et al
subestima
superestima
o
o
%G,
%G
enquanto
das
que
atletas.
a
Quando
de
Tran
usaram
a
&
Weltman
média
dos
percentuais de gordura obtidos pelas duas equações, não foram encontradas diferenças significativas entre D e %G, e o erro padrão baixou para <3% de %G. Os autores concluíram que, combinando equações antropométricas de DCs e C, os resultados são superiores à utilização isolada, para estimar a composição corporal em atletas corredoras. Observa-se assim que, embora a aplicação das equações generalizadas
seja
reconhecida,
estas
não
dispensam
a
validação para amostras específicas. HOUSH,
JOHNSON,
KENNEY,
MCDOWEL,
HUGHES,
CISAR
&
THORLAND (1989), com o objetivo de determinar a validade de 23 equações antropométricas para estimar a composição corporal e o
peso
mínimo
de
lutadores
adolescentes,
sujeitos com idade média 16,42 anos.
mensuraram
409
A análise de validação
indicou que a equação quadrática de dobras cutâneas, adaptada e sugerida por Lohman (1981), resultou em ser a mais acurada para estimar a D. O erro total, erro constante, erro padrão de estimativa e r foram: 0,007, 0,0003, 0,0076 e 0,65 g/ml, respectivamente. O resultado desta investigação rejeitou a
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43
lutadores, pois a equação por eles desenvolvida resultava em altos valores de erro, não sendo recomendada para uso prático. Embora não existam motivos para serem usadas outras equações para estimar o peso mínimo de lutadores, HOUSH et al (1989) recomendam, alternativamente, a utilização das equações quadráticas de Thorland et al (1984) e Jackson et al (1978) e as lineares de Katch & McArdle (1973), Forsyth & Sinning (1973)
e
Behnke
&
Wilmore
(1974),
por
terem
aceitável
validade. A partir desses prévios estudos, pode-se inferir que: 1) Antes de utilizar uma equação para a estimativa da D ou %G, deve-se analisar se a mesma é compatível com a amostra a ser utilizada; 2) A seleção de equações deve ser feita com cautela, pois uma equação poderá ser válida para uma população e não ser para outra, particularmente para as lineares; 3) A equação de Sloan (1967) parece fornecer uma adequada esti-mativa da densidade corporal para estudantes universitários, atletas e não atletas. 4) A partir da metade da década de 80, a tendência com PH tem sido em validar as equações de JACKSON & POLLOCK (1987) e as de JACKSON et al (1980) em diferentes amostras de atletas e não atletas, e sugerir equações generalizadas para estimar a D e %G através da técnica antropométrica de
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44
5) Existe necessidade de uma equação precisa para estimar a D em mulheres com mais de 40 anos de idade; 6) Não foi, ainda, estabelecida validação de equações para amostras brasileiras.
Medidas Antropométricas mais Utilizadas em Equações Estimativas da Densidade Corporal Com o objetivo de orientar a coleta de dados, realizouse
um
levantamento
das
DCs
utilizadas
em
74
equações
reportadas na literatura para caracterizar a D em jovens e adultos de ambos os sexos. Como pode ser verificado na Tabela 2, as dobras cutâneas mais utilizadas em 42 equações preditivas da D para o sexo masculino foram: TR, SE e AB, seguidas de PT, SI e CX; e em 32 equações para o sexo feminino, nitidamente se destacam as dobras
cutâneas
na
CX,
SI,
e
TR,
seguidas
da
SE,
e
na
seqüência AB e AM.
Tabela 2 Dobras Cutâneas mais Utilizadas em 74 Equações para Estimar a Densidade Corporal em Jovens e Adultos *. DC MASCULINO % FEMININO % Abdominal
24
15,5
15
8,5
Axilar média
12
7,7
9
5,1
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45
Joelho
1
0,6
-
-
Panturrilha
4
2,6
2
1,2
Peitoral
19
12,3
6
3,4
Subescapular
25
16,1
24
13,6
Supra-ilíaca
18
11,6
37
21,0
Tricipital
26
16,8
36
20,5
* Foram consultadas 42 equações para o sexo masculino e 32 para o sexo feminino. As
equações
preditivas
da
D,
através
da
técnica
antropométrica de C, ou C + DC, ou C + DC + DO, apresentam entre elas uma larga variedade de medidas. Foram encontradas, além
da
inclusão
do
peso
e
estatura
corporais,
as
circunferências do braço, antebraço, abdômen, tórax, quadril, glúteo,
coxa
e
punho
e
os
diâmetros
ósseos
biacromial,
bitrocanteriano, biepicondiliano do úmero e biepicondiliano do fêmur.
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CAPÍTULO III
PROCEDIMENTOS METODOLÓGICOS
Modelo do Estudo Este
estudo
caracteriza-se
como
descritivo
do
tipo
correlacional, pois tem como objetivo desenvolver e validar equações generalizadas para a estimativa da densidade corporal em mulheres e homens de 18 a 66 anos de idade.
Seleção dos Sujeitos População - A população deste estudo abrange sujeitos adultos, das regiões central do Rio Grande do Sul e litorânea de Santa Catarina. A escolha dos locais da amostra deveu-se ao entendimento de que: a) a cidade de Santa Maria, RS, situada no centro do Estado, apresenta um dos maiores contingentes militares do Brasil, reunindo grande número de familiares de todas as regiões do país; bem como, a UFSM congrega estudantes da maioria das cidades do RS e, em número menor, dos estados de SC, PR, MS e SP; b) a cidade de Florianópolis, SC, situada no
litoral,
além
de
seus
residentes,
é
constituída
principalmente por catarinenses de outras regiões, bem como
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47
Amostra - A amostra foi constituída por 672 sujeitos, sendo dividida em dois grupos amostrais: um formado por 281 mulheres e outro por 391 homens. Com o objetivo de desenvolver equações
generalizadas,
os
dois
grupos
amostrais
foram
randomicamente subdivididos em amostras de regressão e de validação,
por
sexo,
de
modo
que
o
número
de
sujeitos
selecionados para comporem a amostra de validação fosse de, aproximadamente, 30% da amostra de Regressão. Amostra de regressão -
Formada por 213 mulheres e 304
homens, foi utilizada para o desenvolvimento das equações generalizadas, para cada sexo. Amostra de validação - Formada por 68 mulheres e 87 homens, foi utilizada para validar as equações femininas e masculinas, respectivamente. A
seleção
intencional. voluntários
da
amostra
Acidental, e
foi
porque
intencional,
de
foram
pela
maneira
acidental
mensurados
necessidade
de
e
sujeitos estarem
adaptados ao meio líquido, o que é exigido pela técnica da pesagem hidrostática.
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48
Protocolo de Mensuração Todos
os
sujeitos
que
voluntários
e
declararam
participaram
que
não
do
estudo
sofriam
de
foram
doenças
respiratórias e circulatórias e estavam gozando de boa saúde. Procedimentos: Os sujeitos foram mensurados descalços, usando calção ou maiô apropriados para a prática de natação. As mensurações foram feitas em duas estações: Mensurações
antropométricas:
Para
o
estudo,
foram
determinados, além da idade, os valores de massa e estatura corporais, quatro
nove
dobras
diâmetros,
de
cutâneas, acordo
com
cinco os
circunferências
procedimentos
e
e na
seqüência descrita a seguir: Massa corporal - O avaliado posicionou-se em pé, no centro da plataforma da balança, procurando não se movimentar. O
cursor
equilíbrio;
da a
escala massa
foi foi
movido
manualmente
registrada
em
até
quilogramas,
haver com
precisão de 100 gramas. Utilizou-se uma balança ARJA, com capacidade para 150 kg e divisões de 1/10 de kg. Estatura Corporal - É a distância compreendida entre a
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49
0,10
cm,
estando
o
indivíduo
em
apnéia,
após
inspiração
profunda. Dobras Cutâneas A
mensuração
das
nove
dobras
cutâneas
seguiu
os
procedimentos de HARRISON, BUSKIRK, CARTER, JOHNSTON, LOHMAN, POLLOCK, ROCHE
& WILMORE (1991). Foi utilizado um adipômetro
LANGE, com escala de 0,1 cm e pressão constante em todas as aberturas de 10 g/mm², fabricado por Cambridge Scientific Industries, Inc. Cambridge, Maryland, USA. As medidas de DCs utilizadas nas equações propostas neste estudo também podem ser mensuradas com o adipômetro CESCORF fabricado em Porto Alegre, Brasil. Recentemente, PETROSKI, VELHO e PIRES-NETO (1993, 1994) verificaram a validade do adipômetro CESCORF na mensuração de DCs e concluíram que o mesmo pode ser utilizado em estudos de campo e apresenta validade similar ao adipômetro Lange.
As
medidas
foram
realizadas
no
lado
direito
sujeitos e repetidas três vezes sucessivas em cada
dos
local
(FRANÇA & VÍVOLO, 1984). Foi utilizada a média como valor da medida ou dois valores coincidentes.
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50
sentido natural da dobra, obliquamente para baixo e lateralmente ao eixo longitudinal do corpo, em um ângulo de + 45 °. Dobra Cutânea Tricipital (TR) foi
determinado
através
da
medida
O local da mensuração da
distância
entre
a
projeção lateral do processo acromial da escápula e a borda inferior do olécrano da ulna, pelo uso de uma fita métrica, estando o cotovelo flexionado a 90 °. O ponto médio foi marcado na parte lateral do braço. A dobra foi mensurada na linha média do bordo posterior do braço, sobre o músculo tríceps, no ponto médio entre a projeção lateral do processo acromial da escápula e a margem inferior do olécrano. Dobra Cutânea Bicipital (BI) - Foi realizada no eixo longitudinal do braço, na sua face anterior, ao nível da linha utilizada para a mensuração da dobra cutânea do tríceps e da circunferência
do
braço.
O
sujeito
permaneceu
na
posição
ereta, com os membros superiores relaxados ao lado do corpo e com a palma da mão dirigida anteriormente. Dobra
Cutânea
Supra-ilíaca
(SI)
-
Foi
mensurada
imediatamente acima da crista-ilíaca superior, na linha imagi-
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51
mensurada também no sentido oblíquo a 4 cm da axila, estando os braços livres ao longo do corpo. Dobra Cutânea Axilar Média (AM) - Foi mensurada na altura da linha imaginária horizontal que passaria na altura do apên-dice xifóide. A dobra cutânea foi pinçada obliquamente (*), tendo como ponto de reparo a orientação dos espaços intercostais. Dobra Cutânea Abdominal (AB) - Foi mensurada estando o indivíduo na posição ortostática. A dobra foi determinada paralelamente ao eixo longitudinal do corpo (vertical) (*), a 3 cm da cicatriz umbilical e a 1 cm no sentido inferior. A Dobra Cutânea da Coxa (CX) - Foi mensurada no ponto médio entre a dobra inguinal, no ponto mais inferior da crista ilíaca anterior, e a borda proximal da patela. A dobra cutânea da CX é vertical, sendo mensurada com o sujeito sentado em uma cadeira, sem contração muscular, com os pés apoiados no solo. A Dobra Cutânea da Panturrilha (PM) - A medida foi realizada no local de maior circunferência da panturrilha. O sujeito ficou sentado com os pés apoiados no solo, estando
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52
modificações, AM (oblíqua) e AB (vertical) por serem os procedimentos mais utilizados no Brasil. Circunferências Corporais A
mensuração
das
cinco
circunferências
seguiu
os
procedimentos de CALLAWAY, CHUMLEA, BOUCHARD, HIMES, LOHMAN, MARTIN,
MITCHELL,
MUELLER,
ROCHE
&
SEEFELDT
(1991).
Foi
utilizada uma fita métrica MABIS, de fabricação japonesa, com precisão de 0,1 cm. O mensurador exerceu uma pressão firme com a fita sobre os seguimentos corporais, mas não comprimiu os tecidos moles. As medidas foram repetidas três vezes em cada local. Foi considerada a média como valor da medida ou dois valores coincidentes. Circunferência do Antebraço (CAT) - Para a mensuração da circunferência ortostática,
do com
antebraço, o
braço
o
sujeito
direito
ficou
na
posição
estendido
e
elevado
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53
Circunferência do Abdômen (CAB) - O sujeito ficou estar de pé, com o abdômen relaxado, os braços descontraídos ao lado do corpo. O avaliador colocou-se à frente do sujeito. A fita métrica foi colocada horizontalmente em volta do abdômen do sujeito, dois centímetros acima da cicatriz umbilical. Um avaliador auxiliar foi necessário para verificar a colocação da fita no plano horizontal. Circunferência da Coxa (CCX) - É a maior circunferência da coxa mensurada imediatamente abaixo da prega ou dobra do glúteo, estando a fita paralela ao solo. O indivíduo usou roupas que permitiram fácil visualização dos pontos de reparo. A
medida
foi
realizada
estando
o
indivíduo
em
pé,
com
afastamento lateral dos pés em torno de 10 cm, e o peso do corpo distribuído igualmente em ambas as pernas. Circunferência
da
Perna
(CPM)
-
Mede
a
maior
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54
MARTORELL & SEEFELD (1991). Utilizou-se um paquímetro SOMET, com precisão de 0,1 cm. O mensurador exerceu uma pressão firme com o paquímetro sobre os locais medidos para diminuir a influência dos tecidos moles. As medidas foram realizadas no lado direito dos sujeitos e repetidas três vezes em cada local. É considerada a média para o resultado final, ou dois valores coincidentes. Diâmetro Biestilóide (DBE) - É a distância entre as apófises estilóides do rádio e da ulna.
O avaliador localizou
as bordas medial do estilóide ulnar e lateral do estilóide do rádio para a mensuração do diâmetro. A borda mais lateral do estilóide da ulna foi localizada com o dedo médio ou com o indicador da mão esquerda e do rádio com o polegar. Diâmetro Biepicondiliano do Úmero (DBU) - Esta medida é a distância entre as bordas externas dos epicôndilos medial e
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55
apalpado com os dedos indicador e/ou médio da mão esquerda, enquanto os correspondentes dedos da mão direita apalparam o ponto aparente mais medial do côndilo femural. As hastes do paquímetro foram colocadas + 45 ° para baixo. Diâmetro Bimaleolar (DBM) - É a distância entre os maléolos medial e lateral no plano horizontal do pé. O sujeito foi mensurado quando sentado com os pés apoiados no chão. As hastes do paquímetro foram colocadas perpendicularmente ao eixo longitudinal em ângulo aproximado a 45 °.
Mensuração do Peso Hidrostático Materiais utilizados - O equipamento desenvolvido para a pesagem hidrostática consta de uma caixa pintada de branco, de formato quadrado, 130 X 130 cm, com 140 cm de altura, sem
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56
Um cinto de mergulhador com 1,8 kg foi colocado em volta da
cintura
para
garantir
a
submersão
e
facilitar
a
estabilização dos sujeitos durante as pesagens. O peso do cinto foi subtraído do peso submerso. Peso submerso - Para a mensuração do peso hidrostático foi utilizada uma balança Filizola, com capacidade para 6 kg, e diviões de 5 gramas. A pesagem submersa na posição grupada seguiu
a
descrição
de
PETROSKI
&
PIRES-NETO
(1992).
O
indivíduo posicionou-se com os braços cruzados e elevados à frente (como referência), formando um ângulo de ± 90 ° em relação esquerdo,
ao
tronco,
próximo
ao
tocando
a
cotovelo
mão e
direita
vice-versa.
no Em
antebraço seguida,
submergiu o corpo até ficar suspenso no trapézio pelos braços, apoiando lentamente o peso do corpo, seguido da elevação dos joelhos em direção ao peito, quando então as mãos seguraram os
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57
possibilita uma expiração máxima e com menor esforço durante a pesagem submersa.
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58
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59
Antes de efetuar a pesagem, foi permitida a prática da expiração submersa. O registro da pesagem foi realizado após o máximo
esforço
submerso.
A
aproximadamente
expiratório, respiração 5-10
estando foi
segundos,
o
sujeito
mantida para
a
totalmente
bloqueada
por
estabilização
da
balança, quando a leitura da pesagem foi, então, registrada. Após
cada
testagem,
aguardou-se
o
restabelecimento
da
respiração, tendo sido o mesmo procedimento repetido por 7-10 vezes. Os movimentos excessivos na escala durante a pesagem foram controlados pelos avaliadores, o que permitiu
fazer
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60
Composição corporal Cálculo da Densidade Corporal (D) - Partindo da fórmula convencional
peso/volume,
a
D
foi
determinada
seguinte equação:
D( g / ml) =
P
[(
P− Pa) / Da] − ( VR− 0,1)
Onde: D = Densidade corporal, P = Peso corporal em kg, Pa = Peso na água em kg,
através
da
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61
Massa
de
multiplicando a de
Gordura massa
(MG,
corporal
kg) pela
-
A
fração
MG do
foi
obtida
percentual
gordura. MG = MC(%G/100). Fidedignidade das mensurações Um estudo piloto foi realizado antes do início da coleta
de dados, do qual participaram 20 sujeitos, nove mulheres e onze homens, entre 17 e 40 anos de idade. Os sujeitos foram mensurados duas vezes, com intervalo entre as medidas de 2 a 14 dias. A correlação linear de Pearson foi usada para determinar
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62
Regressão - A técnica de regressão múltipla Stepwise com a seleção Forward, foi utilizada para estabelecer a equação para a D (PEDHAZUR, 1983). A variável dependente (critério) foi
a
D
determinada
hidrostaticamente.
As
variáveis
independentes (preditores) foram: a idade, massa e estatura
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63
Validação
das
equações
desenvolvidas
foi
amostra,
sexo,
por
realizada oriunda
-
A
validação
através da
da
mesma
das
aplicação população
equações a
uma
que
foi
randomicamente selecionada (Amostra de validação) e que não participou do desenvolvimento dos modelos.
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64
Os cálculos foram realizados em um pacote estatístico SAS,
1989,
(Statistical
Analysis
Processamento de Dados da UFSM.
System),
Centro
de
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CAPÍTULO
IV
RESULTADOS E DISCUSSÃO Os
resultados
da
análise
desta
investigação
são
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66
Tabela 3 Características Características Descritivas das Amostras do Sexo Feminino REGRESSÃO (n = 213)
VALIDAÇÃO (n = 68)
x
s
Variação
x
s
Variação
Idade (anos)
27,46
7,58
18-51
27,18
6,01
18-43
Massa (kg)
57,66
7,14
43,80-87,40
55,95
6,84
42,10-72,60
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68
A análise dos resultados da Tabela 4 mostra que as
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69
Tabela 5 Validação de Equações Generalizadas para a Estimativa
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102
ISRAEL, R.G.; STANDARD, C.L.; HORTOBAGYI; T.; O’BREIN, K.F.; McCAMMON, M.R. & DONNELLY, J.E. How many underwater weighing trials are necessary to estimate percent body fat in adult females ? Res. Q. Exerc. Sport. Suppl., 1994, march, A-27. JACKSON, A.S. Research design and analysis of data procedures for predicting body density. Med. Sci. Sport Exerc., 1984, 16(6), 616-620. JACKSON, A.S. & POLLOCK, M.L. Generalized equations for prediting body density of men. Br. J. Nutr. 1978, 40, 497504. JACKSON, A.S.; POLLOCK, M.L. & WARD, A. Generalized equations for predicting body density of women. Med. Sci. Sports Exerc., 1980, 12, 175-182. JACKSON, A.S. & POLLOCK, M.L. Steps toward the development of generalized equations for predicting body composition of adults. Can. J. Appl. Spt. Sci., 1982, 7(3), 189-196. KATCH, F.I. Apparent body density and variability during underwater weighing. Res. Quarterly, 1968, 39(4), 993-999. KATCH, F.I. & KATCH. V.L. Measurement and prediction erros in body composition assessment and the search for the perfect predition equation. Res. Q. Exerc. Sport., 1980, 51(1), 249-260. KATCH, F.I. & McARDLE, W.D. Prediction of body density from simple anthropometric measurementes in college-age men and women. Hum. Biol., 1973, 45(3), 445-454. KATCH, F.I. & McARDLE, W.D. Nutrição, controle de peso e exercício. Rio de Janeiro: Ed. Médica Científica Ltda, 1984 KATCH, F.I. & MICHAEL Jr, E.D. Prediction of body density from skin-fold and girth measurements of college females. J. Appl. Physiol., 1968, 25(1), 92-94. KATCH, F.I; MICHAEL Jr, E.D. & HORVATH, S.M. Estimation of body volume by underwater weighing description of a simple method. J. Appl. Physiol., 1967, 23(5), 811-813. KEYS, A.& BROZEK, J. Body fat in adult man. Physiological Review, 1953, 33, 245-325. KOHRT, W.M.; MALLEY, M.T.; DALSKY, G.P. & HOLLOSZY, J.O. Body composition of healthy sedentary and trained, young and
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103
LEWIS, S.; HASKELL, W.L.; KLEIN, H.; HALPERN, J. & WOOD, P.D. Prediction of body composition in habitually active middle aged men. J. Appl. Physiol., 1975, 39(2), 221-225. LOHMAN, T.G.. Skinfolds and body density and their relation of body fatness: A review. Hum. Biol,, 1981, 53(2), 181-225. LOHMAN, T.G. Advances in body composition assessment. Champaign, Il.: Human Kinetics Publishers, 1992. MADUREIRA, G.; FIGUEIREDO, P.R.C. & GUIMARÃES, J.N.F. As ciências do esporte sem incompatibilidades. Rev. Bras. Ed. Fís. Desportos 1983, 51(11), 18-24. ,
MALINA, R.M. Quantification of fat, muscle and bone in man. Clin. Orthopaedics Rel. Res., 1969, 65, 9-38. MALINA R.M. & BOUCHARD, C. Growth, maturation and physical activity. Champaign, Il.: Human Kinetics Books, 1991. MARTIN, A.D.; DRINKWATER, D.T.; CLARYS, J.P. & ROSS, W.D. The inconstancy of the fat-free mass: a reappraisal with implications for densitometry. In. T. REILLY; J. WATKINS & J. BORMS. (Eds.) Kinanthropometry III. London: E.& F.N.SPON, 1986. MARTINS Jr., J. Análise composição corporal de semestre do curso de Federal de Santa Maria.
comparativa do somatotipo e da acadêmicos de primeiro e quinto Educação Física da Universidade Rev. Ed. Fís., 1982, 3(5), 25-27.
McARDLE, W.D.; KATCH, F.I. & KATCH, F.L. Fisiologia do exercício - energia, nutrição e desempenho humano. Rio de Janeiro: Guanabara Koogan S.A., 1992. McKEOWN, B.C.; WOMACK, S.L.; HOLIDAY, D.B.; BRYARS,S.A.; HANLEY, D.J. & BALLARD, J.E. Cross validation of select skinfold equations (Jackson et al 1980) in 138 women aged 45-76 years. Res. Q. Exer. Sports.,(Abstract), 1993, 64, A-34. NAGAMINE, S. & SUZUKI, S. Anthropometry and body composition of japanese young men and women. Hum. Biol., 1964, 36(1),8-15. PASCALE, L.R.; GROSSMAN, M.I.; SLOANE, H.S. & FRANKEL, T. Correlation between thickness of skinfolds and body density in 88 soldiers. Hum. Biol., 1956, 28, 165-176. PASSOS, A.A & ROMBALDI, A.J. Estudo comparativo da composição
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Universidade Federal de Pelotas (Resumo). In. 13º Simpósio Nacional de Ginástica Pelotas, RS, 1992, p. 72. .
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PEREIRA, A.P.; MOURA, C.R.V. & MARQUES, J.M.B. Avaliação compa-rativa de composição corporal em universitários de educação física e indivíduos de nível competitivo. Rev. Bras. Ed. Fís. Deportos. 1978, 37(9), 4-14. PETROSKI, E.L. & PIRES-NETO,C.S. Análise do peso hidrostático nas posições sentada e grupada em homens e mulheres. Kinesis, 1992, 10, 49-62. PETROSKI, E.L. & PIRES-NETO,C.S. Alguns subsídios para elaboração de um protocolo alternativo de pesagem hidrostática (Resumo). In. Anais da III Jornada de Pesquisa da UFSM. Santa Maria, 1993, p. 518. PETROSKI, E.L.; VELHO, N.M. & PIRES-NETO,C.S. Comparação dos adipômetros Lange e Cescorf na mensuração de dobras cutâneas (Resumo). In. Anais VIII CONBRACE. Belém, PA, 1993, p.85. PETROSKI, E.L.; PIRES-NETO,C.S.; VELHO, N.M. & RODRIGUEZ-AÑES, C.R. Comparação da densidade corporal em mulheres através de dois procedimentos de pesegem hidrostática. In. III Bienal de Ciências do Esporte. Poços de Caldas, MG, 1993, p. 23/Sala C. PETROSKI, E.L.; VELHO, N.M. & PIRES-NETO,C.S. Validação do adipômetro Cescorf para estimar a composição corporal (Resumo). In. Anais da I Jornada Integrada de Pesquisa Extensão e Ensino. UFSM, Santa Maria, 1994, p. 678. PIRES-NETO, C.S. Skinfold profiles of black and whithe male and female chidren 7 to 14 years of age in southern Brasil. (Doctoral Dissertation). New Mexico: Univ. of New Mexico, 1991. POLLOCK, M. L.; LOUGHRIDGE, E.E.; COLEMAN, B.; LINNERUD, A.C & JACKSON, A. Predition of body density in young and middleaged women. J. Appl. Physiol. 1975, 38(4), 745-749. ,
POLLOCK, M.L.; HICKMAN, T.; KENDRICK, Z.; JACKSON, A.S.; LINNERUD, A.C. & DAWSON, G. Prediction of body density in young and middle-aged men. J. Appl. Physiol., 1976, 40(3),
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POLLOCK, M.L.; SCHMIDT, D.H. & JACKSON, A.S. Measurement of cardiorespiratory fitness and body composition in the clinical setting. Comprehensive Therapy, 1980, 6(9), 1227. RATHBURN, E. & PACE, N. Studies on body composition. I. The determination of total body fat by means of the body specific gravity. J. Appl. Physiol., 1945, 158, 667-676.
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1988,46, 45-
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predict body composition in women runners (Abstract) Med. Sci. Sports Exerc., 1990, 22(2), s122. THORLAND, W.G.; JOHNSON,G.O.; THARP, G.D., HOUSH, T.J. & CISAR, C.J.. Estimation of body density in adolescent athletes. Hum. Biol., 1984a, 56, 439-448. THORLAND, W.G.; JOHHSON, G.O.; THARP,G.D.; FAGOT, T.G. & HAMMER, G.D.. Validity of anthropometric equations for the estimation of body density in adolescent athletes. Med. Sci. Sports and Exerc., 1984b, 16(1), 77-81. YOUNG, C.M. & BLONDIN, J. Estimation body weight and fatness of young women. J. Am. Diet. Association, 1962, 41, 452455. YUHASZ, M.S. The effects of sports training on body fat in man with prediction of optimal body weight. (Doctoral Dissertation). Urbana, Il.: Univ. of Illinois, 1962. WEISEL, S.L.; GRIFFITHS, M.A.; STILLMAN. R.J.; SLAUGHTER,M.H.; CHRIST, C.B. & BOILEAU, R.A. Age-related changes in the relationship of skinfolds to body density in adults aged 20-79 years (Abstract). Med. Sci. Sports Exerc., 1992, 24(5), 34. WILMORE, J.H. & BEHNKE, A. R. An anthropometric estimation of body density and lean body weight in young men. J. Appl. Physiol., 1969a, 27(1), 25-31. WILMORE, J.H. & BEHNKE, A. R. Predictability of lean body weight through anthropometric assessment in college men. J. Appl. Physiol., 1969b, 27, 349-355. WILMORE, J.H. & BEHNKE, A.R. An anthropometric estimation of body ensity and lean body weight in young women. Am. J. Clin. Nutr., 1970, 23(2), 267-274. WILMORE, J.H.; GIRANDOLA, R.N. & MOODY, D.L. Validity of skinfold and girths assessment for predicting alterations in body composition. J. Appl. Physiol., 1970, 29(3), 313317 WILMORE, J.H.; FRISANCHO, R.A.; GORDON, C.C.; HIMES, J.H.; MARTIN, A.D.; MARTORELL, R. & SEEFELDT, V.D. - Body breadth equipment and measurement techniques. In. T.G. LOHMAN, A.F.; ROCHE & R. MARTORELL, (Eds.) Anthropometric standardization Reference manual. Abridged Edition. Champaign, Il.: Human Kinetics Books, 1991.
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A N E X O S
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108
ANEXO I Equações de KACTH & McARDLE (1973) para Estimar Densidade Corporal em universitários de ambos os sexos Equações de regressão R EPE Homens (n=53) DC, C
D = 1,10986 - 0,00083(X1) - 0,00087(X2) - 0,00098(X3) + 0,00210(X4)
0,89 0,0066
DC
D = 1,09665 - 0,00103(X1) - 0,00056(X2) - 0,00054(X8)
0,86 0,0072
C
D = 1,12691 - 0,00357(X9) - 0,00127(X3) + 0,00524(X4)
0,86 0,0072
Mulheres (n=69) DC,DO D = 1,09246 - 0,00049(X2) - 0,00075(X5) + 0,00710(X6) C -0,00121(X7)
0,84 0,0086
DC
D = 1,08347 + 0,00060(X1) - 0,00151(X2) - 0,00097(X10)
0,77 0,0100
C
D = 1,14465 - 0,00150(X9) - 0,00105(X3) + 0,00448(X4) -0,00168(X7)
0,80 0,0094
DC,C D = 1,14389 -0,00114(X2) -0,00149(X7) 0,78 0,0098 D = densidade corporal (g/ml); DC = dobra cutânea (mm); C = cir-cunferência (cm); DO = diâmetro ósseo (cm); X1 = DC, tríceps; X2 = DC, sub-escapular; X3 = C, abdominal; X4 = C, antebraço; X5 = DC, supra-ilíaca; X6 = DO, úmero; X7 = C, coxa; X8 = DC, abdominal; X9 = C, braço estendido; X10 = DC, coxa; EPE = erro padrão de estimativa.
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109
ANEXO II Equações de POLLOCK et al (1975) para Estimar a Densidade Corporal de Mulheres Jovens (n=83) e de Meia-Idade (n = 60). Medidas Antropométricas
Equação de Regressão
R
EPE
MULHERES JOVENS (Idade média = 20 anos) DC
D = 1,0852 - 0,0008(X2) - 0,0011(X3).
0,775 0,0091
DC, DO
D= 1,1295 - 0,0007(X2) - 0,0008(X3) - 0,0059(X9)
0,806 0,0085
DC, DO, C
D = 1,0863 - 0,0008(X2) - 0,0007(X3) - 0,0010(X5) + 0,0048(X7) + 0,0025(X8) - 0,0087(X9).
0,843 0,0079
DC, DO, C
D = 1,0836 - 0,0007(X2) - 0,0007(X3) + 0,0048(X7) - 0,0088(X9).
0,826 0,0082
MULHERES DE MEIA IDADE (Idade media = 44 anos) S, C
D = 1,1283 - 0,0011(X6) - 0,0039(X10).
0,863 0,0075
DC
D = 1,0754 - 0,0012(X1) - 0,0007(X3).
0,856 0,0076
DC, C, S
D = 1,0990 - 0,0006(X2) - 0,0006(X6) - 0,0036(X10)
0,879 0,0071
DC, S, C
D = 1,1023 - 0,0005(X2) - 0,0003(X3) + 0,0005(X6) - 0,0033(X10).
0,889 0,0069
DC, S, DO, C D = 1,0885 - 0,0003(X1) -0,0003(X2) - 0,0004(X3) 0,908 0,0065 - 0,0007(X4) - 0,0004(X6) + 0,0026(X8) - 0,0024(X10). DC = dobra cutânea (mm), DO = diametro (cm), C = circunferência (cm), S = tamanho dos seios, X1 DC, axilar; X2 DC, supra-ilíaca; X3 DC, X4 C, peitoral media;
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110
ANEXO III Equações de POLLOCK et al (1976) para Estimar a Densidade Corporal de Homens Jovens (n=95) e de Meia-Idade (n=84). Medidas Antropométricas
Equação de Regressão
R
EPE
HOMENS JOVENS (média de idade = 20 anos) DC
D= 1,09478 - 0,00103(X1) - 0,00085(X7)
0,81
0,0082
DC
D= 1,09716 - 0,00065(X1) - 0,00055(X4) - 0,00080(X7)
0,82
0,0080
DC, DO, H
D= 1,12476 - 0,00109(X1) - 0,00087(X7) + 0,00133(X20) - 0,00046(X26)
0,85
0,0075
DC, DO, H
D= 1,12916 - 0,00060(X1) - 0,00072(X4) - 0,00080(X7) + 0,00144(X20) - 0,00050(X26)
0,86
0,0072
DC, DO, H
D= 1,10940 - 0,00026(X8) + 0,001623(X20) - 0,00044(H)
0,87
0,0070
DC, C, DO
D= 1,05599 - 0,00068(X3) - 0,00043(X5) - 0,00049(X11) + 0,00144(X14) - 0,00274(X15) + 0,00553(X18) + 0,00133(X20) - 0,00203(X23)
0,88
0,0069
HOMENS DE MEIA IDADE (média de idade = 44 anos) DC
D = 1,07660 - 0,00098(X1) - 0,00053(X2)
0,78 0,0082
DC, C
D = 1,12172 - 0,00112(X1) - 0,00056(X12)
0,78 0,0082
DC, C
D = 1,10973 - 0,00104(X1) - 0,00112(X12) + 0,00220(X17) 0,81 0,0077
DC, C
D 1,10185 0,00072(X1) 0,00046(X2)
0,83 0,0075
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111
ANEXO IV Equações de DURNIN & RAHMAN (1967) para Estimar a Densidade Corporal em Jovens e Adultos de Ambos os Sexos. Sujeitos
nº
Idade
Homens
60
22,7
Mulheres
45
Moços Moças Log10
Equações de Regressão
EPE
R
D = 1,1610 - 0,0632(Log 10 ∑4DC)
0,0069
0,835
21,7
D = 1,1581 - 0,0720(Log 10 ∑4DC)
0,0096
0,778
48
14,7
D = 1,1533 - 0,0643(Log 10 ∑4DC)
0,0083
0,760
38
14,9
D = 1,1369 - 0,0598(Log 10 ∑4DC)
0,0081
0,778
∑4DC = BI+TR+SE+SI; EPE = erro padrão de estimativa.
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112
ANEXO V Equações de GUEDES (1985) para Estimar a Densidade Corporal em Universitátios de 17-27 anos (n= 110). EQUAÇÃO DE REGRESSÃO
R
D = 1,13060 - 0,05437 Log 10(X1) D = 1,15929 - 0,06550 Log 10(X2) D = 1,17136 - 0,06706 Log 10(X3) D = 1,18282 - 0,07030 Log 10(X4) D = 1,20436 - 0,07848 Log 10(X5) D = 1,21546 - 0,08119 Log 10(X6) D = 1,22098 - 0,08214 Log 10(X7) D = 1,22627 - 0,08384 Log 10(X8)
0,864 0,880 0,894 0,894 0,894 0,899 0,904 0,901
EPE 0,0064 0,0061 0,0057 0,0057 0,0057 0,0056 0,0055 0,0055
Onde: X = dobras cutâneas; X1 = AB; X2 = AB + TR; X3 = AB + TR + SI; X4 = AB + TR + SI + AM; X5 = AB + TR + SI + AM + SE; X6 = AB + TR + SI + AM + SE + CX; X7 = AB + TR + SI + AM + SE + CX + PM; X8 = AB + TR + SI + AM + SE + CX + PM + BI. EPE = erro padrão de estimativa.
ANEXO VI Equações de GUEDES (1985) para Estimar a Densidade Corporal em Universitárias de 17-29 (n = 96)
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113
ANEXO VII Equações de DURNIN & WOMERSLEY (1974) para Estimar a Densidade Corporal em Adultos de Ambos os Sexos. Idade Sujeitos
Equações de Regressão
EPE
MASCULINO 17-19
24
D = 1,1620 - 0,0630(X1)
0,0073
20-29
92
D = 1,1631 - 0,0632(X1)
0,0084
30-39
34
D = 1,1422 - 0,0544(X1)
0,0087
40-49
35
D = 1,1620 - 0,0700(X1)
0,0082
50-72
24
D = 1,1715 - 0,0779(X1)
0,0092
17-72
209
D = 1,1765 - 0,0744(X1)
0,0103
FEMININO 16-19
29
D = 1,1549 - 0,0678(X1)
0,0089
20-29
100
D = 1,1599 - 0,0717(X1)
0,0109
30-39
58
D = 1,1423 0,0632(X1)
0,0125
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114
ANEXO VIII Equações Generalizadas de JACKSON & POLLOCK (1978) para Estimar da Densidade Corporal em Homens de 18-61 Anos de Idade (n=308). Variáveis Antropométricas Equações de Regressões R EPE SOMATÓRIO DE SETE DOBRAS CUTÂNEAS S, S2, I
D = 1,11200000 - 0,00043499 (X1) + 0,00000055(X1)2 - 0,00028826(X3)
0,902
0,0078
S, S2, I
D = 1,10100000 - 0,00041150(X1) + 0,00000069(X1)2 - 0,00022631(X3) - 0,0059239(X4) + 0,0190632(X5)
0,916
0,0073
LogN S, I
D = 1,21394 - 0,03101(LogN X1) - 0,00029(X3)
0,893
0,0082
LogN S,I,C
D = 1,17615 - 0,02394(LogN X1) - 0,00022(X3) - 0,0070(X4) + 0,02120(X5)
0,917
0,0073
SOMATÓRIO DE TRÊS DOBRAS CUTÂNEAS S, S2, I
D = 1,1093800 - 0,0008267 (X3) + 0,0000016(X2)2 - 0,0002574(X3)
0,905
0,0077
S, S2 , I, C
D = 1,0990750 - 0,0008209(X2) + 0,0000026(X2)2 - 0,0002017(X3)
0,918
0,0072
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115
ANEXO IX Equações Generalizadas de JACKSON, POLLOCK & WARD (1980) para Estimar a Densidade Corporal de Mulheres Adultas de 18-55 anos de Idade (n = 249). Variáveis Equações de Regressões R EPE Antropométricas SOMATÓRIO DE SETE DOBRAS CUTÂNEAS DC, DC2, I
D = 1,0970 - 0,00046971(X1) + 0,00000056(X1) 2 - 0,00012828(X4) 0,00012828(X4 ) 0,852
0,0083
LogN, DC, I
D = 1,23173 - 0,03841(LogN X1) - 0,00015(X4).
0,0084
DC, DC2, C
D = 1,1470 - 0,00042359(X1) 0,00042359(X 1) + 0,00000061(X1) 0,00000061(X1 ) 2 - 0,00065200(X5) 0,00065200(X 5) 0,865
0,850
0,0088
LogN, DC, C D = 1,25475 - 0,03100(LogN X1) - 0,00068(X5)
0,864
0,0080
DC, DC2 ,C, I D = 1,1470 - 0,00042930(X1) 0,00042930(X1 ) + 0,00000065(X1) 0,00000065(X1 ) 2
0,867
0,0079
0,867
0,0079
0,849
0,0084
- 0,00009975(X4) - 0,00062415(X5) Log DC,I,C
D= 1,25186 - 0,03048(LogN X1) - 0,00011(X4) - 0,00064(X5) SOMATÓRIO DE QUATRO DOBRAS CUTÂNES
DC, DC2, I
D = 1,0960950 - 0,0006952(X2) + 0,0000011(X2) 0,0000011(X2 ) 2 - 0,0000714(X4).
Log DC, I
D = 1,21993 - 0,03936(LogN X2) - 0,00011(X4)
0,845
0,0085
DC, DC2, C
D = 1,1443913 - 0,0006523(X2) + 0,0000014(X2) 2 - 0,0006053(X5) 0,0006053(X 5) 0,861
0,0081
LogN, DC, C
D = 1,24374 - 0,03162(LogN X2) - 0,00066(X5).
0,859 0,0081
DC, DC2, C, I
D = 1,1454464 - 0,0006558(X2) 0,0006558(X2 ) + 0,0000015(X2) 2
0,862 0,0081
- 0,0000604(X4) - 0,0005981(X5). 0,0005981(X5).
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116
ANEXO X Equações Generalizadas de POLLOCK, SCHMIDT & JACKSON (1980) para Estimar a Densidade Corporal em Adultos de Ambos os Sexos. Equações de Regressões
R
EPE
%G
Mulheres Adultas D = 1,0994921 - 0,0009929(X1) + 0,0000023(X1) 2 - 0,0001392(I)
0,84
0,009
3,9
D = 1,0902369 - 0,0009379(X2) + 0,0000026(X2) 2 - 0,0001087(I)
0,84
0,009
3,9
D = 1,1093800 - 0,0008267(X3) + 0,0000016(X3) 2 - 0,0002574(I)
0,91
0,008
3,4
D = 1,1125025 - 0,0013125(X4) + 0,0000055(X4) 2 - 0,0002440(I)
0,89
0,008
3,6
Homens Adultos
I = idade em anos; X1 = TR + SI + CX; X2 = TR + SI + AB; X3 = PT + AB + CX; X4 = PT + TR + SE; EPE = erro padrão de estimativa.
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117
ANEXO XI Equações de THORLAND et al (1984a) para Estimar a Densidade Corporal em Atletas Jovens de Ambos os Sexos. Equações de regressão
R
EPE
Masculino (n= 141) D = 1,1091 - 0,00052(X1) + 0,00000032(X1) 2
0,82
0,0055
D = 1,1136 - 0,00154(X2) + 0,00000516(X2) 2
0,81
0,0056
D = 1,1046 - 0,00059(X1) + 0,00000060(X1) 2
0,82
0,0060
D = 1,0987 - 0,00122(X3) + 0,00000263(X3) 2
0,82
0,0060
Feminino (n= 133)
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118
ANEXO XII Estudos de Validação Aplicados a Equação de Sloan (1967) * Estudo original Katch & Sloan McArdle (1967) (1973)
Nº
Idade
50(a) 18-26
Wilmore & Behnke (1969) 53(a)
19,3
22,0
Wilmore et. al. (1970)
133(a)
Lohman (1981)
55(b) 33,2
Forsyth & Sinning (1973)
61(a) d
50(c) 19-22
Dif. média s.d predito
d d
0,000 0,013
0,0003 0,018
0,004 0,011
0,004 0,011
0,001 0,0079
s.d atual
d
0,014
0,013
0,013
0,010
0,0102
0,81
0,73
0,70
0,80
0,74
r
0,84
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119
ANEXO XIII Equações de FORSYTH & SINNING (1973) para Estimar a Densidade Corporal em Atletas do Sexo Masculino. Equações de Regressão
R
EPE
D = 1,03523 - 0,00156(SE) + 0,00207(X1) - 0,00140(AB)
0,87
0,005
D = 1,02967 - 0,00131(SE) + 0,00196(X1) - 0,00126(AB) - 0,00096(TR) + 0,00260(X2) - 0,00114(X3)
0,90
0,005
D = 1,10300 - 0,00168(SE) - 0,00127(AB)
0,82
0,006
D = 1,10647 - 0,00162(SE) - 0,00144(AB) - 0,00077(TR) + 0,00071(PT)
0,84
0,006
D = 1,02415 - 0,00169(SE) + 0,00444(H) - 0,00130(AB)
0,86
0,005
D = 1,03316 - 0,00164(SE) + 0,00410(H) - 0,00144(AB)
0,87
0,005
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120
ANEXO XIV Fidedignidade das Mensurações Antropométricas e do Peso Submerso (n=20). Variáveis
teste x s
reteste x
65,98
r
t
p
s
Peso (kg)
65,85 9,99
9,86
0,998
-0,97 0,34
Peso submerso (kg) Subescapular
2,53 0,99 2,55 1,04 DOBRAS CUTÂNEAS (mm) 12,00 4,77 11,98 4,84
0,993
-1,18 0,25
0,980
0,12 0,91
Tricipital
14,77 8,01
14,50
8,00
0,984
0,87 0,40
Bicipital
5,00 2,61
5,05
2,89
0,963
-0,25 0,80
Peitoral
7,86 4,18
7,60
3,74
0,968
1,02 0,32
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121
ANEXO XV Características Características Antropométricas das Amostras do Sexo Feminino REGRESSÃO (n = 213) x
s
Variação
VALIDAÇÃO (n = 68) x
s
Variação
.UTÂNEAS (mm) Subescapular Subescapular
13,34
5,54
5,00-35,00
13,45
5,47
6,00-37,00
Tricipital
19,53
5,52
5,00-38,00
19,72
5,35
11,00-33,00
Bicipital
7,74
3,45
2,00-19,00
7,69
3,23
3,50-18,00
Peitoral
9,74
4,37
2,00-25,00
9,80
4,06
3,50-19,00
Axilar média
10,83
5,84
3,00-27,00
11,23
5,61
4,00-33,00
Supra-ilíaca
12,80
6,57
3,00-31,00
13,43
6,49
5,00-36,00
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122
ANEXO XVI Características Características Antropométricas das Amostras do Sexo Masculino REGRESSÃO (n = 304) x
s
Variação
VALIDAÇÃO (n = 87) x
s
Variação
13,31
5,31 5,31
6,00-34,50
Dobra cutânea (mm) Subescapular Subescapular
13,16
5,42
2,00-30,00
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123
ANEXO XVII
Equações Estimativas Estimativas da Densidade Corporal em Mulheres Utilizadas na Análise de Validação Validação Cruzada Cruzada EQUAÇÕES ESTIMATIVAS DA DENSIDADE CORPORAL
IDADE
R
EPE
18-55
0,852
0,0083
18-55 18-55 18-55 18-55
0,850 0,849 0,845 0,842
0,0084 0,0084 0,0085 0,0086
JACKSON et al (1980) JP&W(80) 1 D= 1,0970 - 0,0004671(∑X1,2,4,5,6,7,8) + 0,00000056(∑X1,2,4,5,6,7,8)2 - 0,00012828(ID) 2 D= 1,23173 - 0,03841 LgN(∑X1,2,4,5,6,7,8) - 0,00015(ID) 3 D= 1,0960950 - 0,0006952(∑X2,6,7,8) + 0,0000011(∑X2,6,7,8)2 - 0,0000714(ID) 4 D= 1,21993 - 0,03936 LgN(∑X2,6,7,8) - 0,00011(ID) 5 D= 1,0994921 0,0009929(∑X ) + 0,0000023(∑X )2 - 0,0001392(ID)
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30 D= 1,0764 -0,00081(X6) - 0,00088(X2)
0,71
124 0,0082
IDADE
R
EP
18-61
0,902
0,0078
18-27 ANEXO XVIII
Equações Estimativas da Densidade Corporal e/ou %G em Homens Utilizadas na Análise de Validação Cruzada EQUAÇÕES ESTIMATIVAS DA DENSIDADE CORPORAL E %G JACKSON & POLLOCK (1978) J&P(78) 01 D= 1.1120 - 0.00043499(∑X1,2,4,5,6,7,8) + 0,00000055(∑X1,2,4,5,6,7,8)2
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125
Continuação da ANEXO XVIII... EQUAÇÕES ESTIMATIVAS DA DENSIDADE CORPORAL E %G
IDADE
R
EP
17-27 17-27 17-27 17-27
0,864 0,880 0,894 0,894
0,0064 0,0061 0,0057 0,0057
GUEDES (1985) GUE(85) 24 25 26 27
D= 1,13060 - 0,05437 Log10(X7) D= 1,15929 - 0,06550 Log10(∑X2,7,) D= 1,17136 - 0,06706 Log10(∑X2,6,7,) D= 1,18282 - 0,07030 Log10(∑X2,5,6,7,)
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126
ANEXO XIX Informações Sobre a Equação de FAULKNER (1968) From: John.A.Faulkner @um .cc.umich.edu. Date: Tue, 25 Oct 94 13:35:28 EDT To: PIRESNET%
[email protected] Subject: same