Modification of Malinowski's F‐test for abstract factor analysis applied to the Quail Roost II data sets
Modification of Malinowski's F‐test for abstract factor analysis applied to the Quail Roost II data sets
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DOI：
10.1002/(sici)1099-128x(199701)11:1
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发表时间：
1997-01
影响因子：
2.4
通讯作者：
K. Faber;B. Kowalski
中科院分区：
文献类型：
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作者：
K. Faber;B. Kowalski
Malinowski的F检验是抽象因子分析中选择因子数量的一种流行方法。最近，我们引入了一种基于可选自由度数的F检验的修改。本文将这种修正方法应用于鹌鹑窝II数据集。这些人工数据集最近被纳入化学计量学方法测试的参考数据集数据库。由于原始数据中的噪声违反了恒定方差的要求，因此采用平衡缩放作为预处理步骤。与原始检验相比，改进后的伪秩估计得到了很大的改进。这些结果证明了改进的F检验对实际数据分析的潜在有用性，因为例如，Quail Roost II数据集的噪声结构与从连线仪器收集的数据的假设噪声结构非常相似。©1997 John Wiley & Sons, Ltd
Malinowski's F‐test is a popular method for selecting the number of factors in abstract factor analysis. Very recently we introduced a modification of this F‐test that is based on an alternative number of degrees of freedom. In this paper the modification is applied to the Quail Roost II data sets. These artificial data sets have recently been included in a data base of reference data sets for chemometrical method testing. Balanced scaling is applied as a preprocessing step, since the noise in the raw data violates the requirement of a constant variance. In comparison with the original test, highly improved pseudorank estimates are obtained by using the modification. These results demonstrate the potential usefulness of the modified F‐test for the analysis of real data, since the noise structure of the Quail Roost II data sets is, for example, very similar to the hypothesized noise structure of data collected from hyphenated instruments. © 1997 John Wiley & Sons, Ltd.