Visser W J, Roelofs J M, Duursma S A
Metab Bone Dis Relat Res. 1981;3(3):187-90. doi: 10.1016/0221-8747(81)90007-2.
An analysis of variance of the volumetric density of trabecular bone (Vv), expressed in percentage of the total bone volume was carried out to determine the quantitative degree to which inter-individual and intra-individual differences in bone composition contribute to sampling variation of Vv values. Samples were obtained from the iliac crest of ten deceased males (aged 46 to 73) without clinical signs of bone disease. A total of 800 separate duplicate values for Vv were obtained. The average values for Vv within the area of interest ranged from 13.9 to 28.2 with a mean of 21.4. The analysis of variance, based on 160 values, showed that inter- and intra- individual differences in bone composition contributed in about equal parts to the total variance. The standard deviation for intra-individual differences(si) was 4.4 and the standard deviation for inter-individual differences (sp) 4.2. Total standard deviation (s) for all measurements was 5.9 and the standard deviation for duplicate measurements (sd) was 0.7. These data indicate that Vv is subject to much variation in a single individual because of inadequate sampling and not the measuring procedure. At present the procedure is most valuable in large groups of individuals. Consideration of the relative contributions of various factors to sampling variation is essential to proper planning and interpretation of bone histomorphometry.
对以总骨体积百分比表示的小梁骨体积密度(Vv)进行方差分析,以确定个体间和个体内骨成分差异对Vv值抽样变异的定量贡献程度。样本取自10名已故男性(年龄46至73岁)的髂嵴,这些男性无骨病临床症状。共获得800个单独的Vv重复值。感兴趣区域内Vv的平均值在13.9至28.2之间,平均为21.4。基于160个值的方差分析表明,个体间和个体内骨成分差异对总方差的贡献大致相等。个体内差异的标准差(si)为4.4,个体间差异的标准差(sp)为4.2。所有测量的总标准差(s)为5.9,重复测量的标准差(sd)为0.7。这些数据表明,由于抽样不足而非测量程序,Vv在个体内存在很大变异。目前,该程序在大量个体中最有价值。考虑各种因素对抽样变异的相对贡献对于骨组织形态计量学的正确规划和解释至关重要。