Gutierrez R G, Carroll R J, Wang N, Lee G H, Taylor B H
Department of Statistics, Texas A&M University, College Station 77843, USA.
Biometrics. 1995 Dec;51(4):1461-8.
We attempt to identify the number of underlying physical phenomena behind tomato lateral root initiation by using a normal mixture distribution coupled with the Box-Cox power transformation. An initial analysis of the data suggested the possibility of two (possibly more) subpopulations, but upon taking reciprocals, the data appear to be very nearly Gaussian. A simulation study explores the possibility of erroneously detecting a second subpopulation by fitting data which are improperly scaled. A power calculation suggests that only unrealistically large sample sizes can detect the unbalanced mixtures one might expect with data of this type.
我们试图通过使用正态混合分布结合Box-Cox幂变换来确定番茄侧根起始背后潜在物理现象的数量。对数据的初步分析表明可能存在两个（可能更多）亚群，但取倒数后，数据似乎非常接近高斯分布。一项模拟研究探讨了通过拟合缩放不当的数据错误检测第二个亚群的可能性。功效计算表明，只有不切实际的大样本量才能检测到这种类型数据可能出现的不平衡混合。
