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用于描述牛脂肪细胞直径分布的对数正态分布方程的检验。

Examination of a lognormal distribution equation for describing distributions of diameters of bovine adipocytes.

作者信息

Whitehurst G B, Beitz D C, Cianzio D, Topel D G, Johnson D C

出版信息

J Anim Sci. 1981 Nov;53(5):1236-45. doi: 10.2527/jas1981.5351236x.

Abstract

Samples of subcutaneous, intermuscular and mesenteric adipose tissues from beef steers were fixed with osmium tetroxide, and freed adipocytes were counted with an automatic particle counter to determine whether a lognormal distribution function would describe adipocyte size distributions more accurately than a normal distribution function. Modes and medians of size distributions generally were larger than means for adipocyte size distributions modeled with a lognormal distribution function. Normalized third and fourth moments of predicted lognormal distributions often were close to 0 and 3, respectively, which are expected values for a normally distributed population. Considerable variation was observed in the skewness of adipocyte size distributions. Both normal and lognormal models for adipocyte size distribution yielded similar means. The lognormal model yielded a greater standard deviation than the normal model for adipocyte size distributions. Smaller chi-square values were found for size distributions modeled with a lognormal than with a normal distribution function. Results suggest that a lognormal distribution function more accurately models the size distributions of bovine adipocytes.

摘要

取自肉牛的皮下、肌肉间和肠系膜脂肪组织样本用四氧化锇固定,用自动粒子计数器对游离的脂肪细胞进行计数,以确定对数正态分布函数是否比正态分布函数更准确地描述脂肪细胞大小分布。对于用对数正态分布函数建模的脂肪细胞大小分布,其大小分布的众数和中位数通常大于均值。预测的对数正态分布的归一化三阶矩和四阶矩通常分别接近0和3,这是正态分布总体的预期值。观察到脂肪细胞大小分布的偏度存在相当大的差异。脂肪细胞大小分布的正态模型和对数正态模型产生的均值相似。对于脂肪细胞大小分布,对数正态模型产生的标准差比正态模型更大。用对数正态分布函数建模的大小分布比用正态分布函数建模的卡方值更小。结果表明,对数正态分布函数能更准确地模拟牛脂肪细胞的大小分布。

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