螨虫样本变异系数、均值及由此组建的幂函数关系和抽样模型

Coefficient of Variation and Mean of Mite Samples, and the Power Relation and Sampling Model Established Wherefrom

通过对椴始叶螨Eotetranychus tiliarium(Herm.)及其捕食性植绥螨样本数据的统计分析,作者建立和论证了样本变异系数与均值间的幂函数方程CV=axb。结果证明,这一方程是客观存在的,定量反映了变异性与均值间相互影响的统计规律性。当它与t分布概率值及相对精度D值组合时,就构成了抽样模型n=(t/D·axb)2;对于同类研究,这一模型具备理论意义与实用潜力。本文据此估算了椴始叶螨和植绥螨的最佳样本含量。

The samples of the linden spider mite, Eotetranychus tiliarium （Herm.）, and its predatory phytoseiids were statistically analyzed, and the power relation as well as corresponding equations between the coefficients of variation （CV） and the means （x）, CV=axb, were established and validated. The results indicated that the power equations existed objectively, and reflected quantitatively a statistical regularity of interactions between variability and mean. When combined with a t value from t-distribution and a D value for relative precision, a sampling model was formed, n=（t/D·axb）2, which possessed theoretical significance and actual application potentials for related studies. Based on it, the optimal sample units were estimated when taking the linden spider mite and phytoseiid samples.