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Journal of asia-pacific entomology v.7 no.3, 2004년, pp.289 - 295   피인용횟수: 2

Evaluation of Data Transformations and Validation of a Spatial Model for Spatial Dependency of Trialeurodes vaporariorum Populations in a Cherry Tomato Greenhouse

Park, Jung-Joon    (Division of Environmental Science and Ecological Engineering, Korea University   ); Shin, Key-Il    (Department of Statistics, Hankuk University of Foreign Studies   ); Cho, Kijong    (Division of Environmental Science and Ecological Engineering, Korea University  );
  • 초록  

    An evaluation of data transformations was made for constructing the reliable spatial models of the greenhouse whitefly (Trialeurodes vaporariorum Westwood) populations in a commercial cherry tomato greenhouse. A Box-Cox power transformation that is useful family of transformations was applied to original data sets. The ability of the transformations to correct for the heterogeneity of variance was tested with Shapiro-Wilk W statistics. After finding the appropriate transformations, empirical variograms were calculated and fitted to spherical model. In this study, the data transformations can stable variogram modeling by means of converting non-normal data to normal. The model was validated with new data set by comparing the deviation between observed and predicted values, using a leave-one-out method. Among the data transformations tested, log $\_$ e/ ( $\chi$ +0.5) and ( $\chi$ +0.5) $^1$4/ transformations were found to be appropriate at correcting for the heterogeneity of variance. According to the leave-one-out cross validation, the ( $\chi$ +0.5) $^1$4/ transformation was better than the log $\_$ e/ ( $\chi$ +0.5) transformation. However, both transformations produced a systemic deviation: the predicted mean was always smaller than the observed mean. No transformations were found to be appropriate, when a proportion of empty sample units (no individuals were observed) was higher than 0.2. Moreover, in this study, the abnormal high density of sample units made inappropriate spherical variogram modeling.


  • 주제어

    Box-Cox transformation .   cross validation .   leave-one-out method .   normality .   spherical variogram.  

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  • 이 논문을 인용한 문헌 (2)

    1. 2008. "" Journal of asia-pacific entomology, 11(2): 65~68     
    2. Park, Jung-Joon ; Park, Kuen-Woo ; Shin, Key-Il ; Cho, Ki-Jong 2011. "Evaluation and Comparison of Effects of Air and Tomato Leaf Temperatures on the Population Dynamics of Greenhouse Whitefly (Trialeurodes vaporariorum) in Cherry Tomato Grown in Greenhouses" 원예과학기술지 = Korean journal of horticultural science & technology, 29(5): 420~432     

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