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Distribution of types of skinfold thicknesses : on the test of normal distribution from k-statistics

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Abstract In this paper, the distribution types of skinfold thickness of university male students from the age of 18 to 20 years. A table of 164 male of Kyushu University students was included in this study. Th...e skinfold thicknesses of mid-triceps and subscaplar of each subject were measured by a single observer using the pinch caliper method within the second weeks of new college life. K-statistics of each skinfold were obtained from raw data and the frequency table by the third and fourth order moments and percentile scores. The g l, SKQ. , and SKD. statistics show skewness of the distribution, and g 2 and kappa show kurtosis. The results obtained were as follows: 1) Comparing cumulative frequency curve of mid-triceps and subscaplar skinfold thicknesses with each other, the subscaplar were up to 50% ile greater than the mid-triceps. Thereafter, the difference gradually decreased. 2) The skewness of skinfolds obtained by both raw data and frequency table was positive. The subscaplar was more skewed than the mid-triceps. The distribution in the moment system was leptokurtic. 3) The skewness and kurtosis of the percentile score was smaller than in the moment system . In one cases, a negative value was observed. 4) These analyses showed that skinfold thickness have positive skewness and leptokurtic types except in the skewness of triceps indicated in the frequency table. 5) The normal distribution was not shown in the test of normality. Its distribution was considered to have a log normal distribution as with other attributes of human beings. The asymmetry of all skinfold thicknesses was shown in nearly all statistical procedures; that is, the distribution types skewed to the left and they have the long tail.
18才から20才までの大学新入学生を対象に腕部,背部の皮下脂肪厚をpinch caliper法によって測定し,基本統計量を求めるとともに,正規性検定を中心とした解析を行なった。結果は以下のように要約できる。1)累積度数曲線は最少値から5%ile値までは,3mm前後の差をもって二部位間で平行であったが,それ以後は二部位間の差が減少する傾向にあった。2)二部位の皮脂厚についてモーメント系の尖度,歪度をraw dataおよび度数分布表から求め,分位数系の尖度,歪度を%ile値から求めた。モーメント系の尖度とも,背部>腕榔の順となり,いずれもleptokuric, positive skewnessの様態を示すことがわかった。3)分位数系の尖度,歪度はモーメン系に比して尖度,歪度とも数値は相当に異なり,負の値を示す場合もあった。4)尖度,歪度ともその標準誤差との比をt検定で検定した。正規性は度数分布表を用いた上腕部で正規性を認めることができたが,背部およびraw dataでは正規性は棄却された。5)二部位の皮脂厚は通常の正規分布よりもむしろ対数正規分布というべきタイプのものであることがわかった。
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Created Date 2009.09.08
Modified Date 2022.05.19

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