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Examination of Sample Size Determination in Integration Studies Based on the Integration Coefficient of Variation (ICV)

机译:基于积分变异系数(ICV)的整合研究中样本量确定的检验

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摘要

Although there are various indices available for calculating morphological integration, the integration coefficient of variation (ICV) is most suited for assessing magnitudes of integration within and between morphological variance/covariance (V/CV) matrices. However, it is currently not known what the effects of varying sample sizes are on the reliable estimation of distributions of ICV scores. In this regard, the effects of varying sample size on ICV was examined by simulating parameter V/CV matrices with varying underlying magnitudes of average trait correlation (r(2)). ICV distributions were generated using a trait resampling protocol for various sample sizes (11 through 150) within various parameter r(2)values. Next, empirical r(2)values were calculated based on data from 22 skeletal elements of 40Macaca fascicularisspecimens to examine whether the results from the simulation corresponded to real biological data. Mean ICV scores of various sample sizes were compared using Mann-Whitney U tests to examine which minimum sample sizes are required to reliably calculate mean ICV. Mann-Whitney U test results based on the simulated data showed that a sample size of 51 may be sufficient even for relatively low r(2)values of 0.05. The empirical macaque data showed that 30-40 individuals may be sufficient to reliably calculate mean ICV scores across skeletal elements. Our results correspond closely with previous assessments by Cheverud and colleagues that argued that a sample size of 40 is necessary to accurately estimate the structure of V/CV matrices.
机译:尽管有多种指数可用于计算形态学整合,但积分变异系数 (ICV) 最适合评估形态变异/协方差 (V/CV) 矩阵内和之间的整合幅度。然而,目前尚不清楚不同样本量对 ICV 评分分布的可靠估计有何影响。在这方面,通过模拟具有不同平均性状相关性(r(2))的参数V/CV矩阵来检查不同样本量对ICV的影响。使用特征重采样协议在各种参数 r(2) 值内针对各种样本量(11 到 150)生成 ICV 分布。然后,根据40个猕猴标本的22个骨骼元素的数据计算经验r(2)值,以检查模拟结果是否与真实生物学数据相对应。使用 Mann-Whitney U 检验比较各种样本量的平均 ICV 分数,以检查可靠地计算平均 ICV 所需的最小样本量。基于模拟数据的 Mann-Whitney U 检验结果表明,即使相对较低的 r(2) 值为 0.05,样本量为 51 也足够。经验性猕猴数据显示,30-40 个个体可能足以可靠地计算出骨骼元素的平均 ICV 评分。我们的结果与Cheverud及其同事先前的评估非常吻合,他们认为40的样本量对于准确估计V / CV矩阵的结构是必要的。

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