ERIC ED323212: L scaling. Working Paper No pdf

ERIC ED323212: L scaling. Working Paper No

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Given “T” joint observations on “K” variables, it is frequently useful to consider the weighted average or scaled score. L-scaling is introduced as a technique for determining the weights. The technique is so named because of its resemblance to the Leontief matrix of mathematical economics. L-scaling is compared to two widely-used procedures for data reduction, but no attempt is made to survey the voluminous literature on scaling methods. These methods are the first principal component method and the best weight function method. A robust L-scaling technique is described for use when the data matrix is contaminated by outliers. The discussion proceeds in terms of descriptive statistics since the various techniques have sampling properties that are either unknown or intractable. The technique is illustrated with a hypothetical example of 100 observations on three variables drawn from a pseudorandom-number generator. L-scaling is one method a researcher may apply when a sensitivity analysis, which compares the outcomes of several scaling methods, is desired.

Four tables illustrate the study. (SLD

• Creator/s: ERIC
• Date: 1990
• Year: 1990
• Book Topics/Themes: ERIC Archive, Comparative Analysis, Data Analysis, Economics, Mathematical Models, Measurement Techniques, Observation, Research Methodology, Scaling, Statistical Analysis, Weighted Scores

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