資料轉換對穩定性動態模式之影響研究. I. 時空介量之探討
Other Title
Studies on effect of data transformation on stabile dynamic model. II. Time and space parameters
Journal
中華農學會報
Journal Issue
新152
Pages
21-33
Date Issued
1990
Date
1990
Author(s)
呂秀英
鄔宏潘
Lu, H.Y.
H.P. Wu.
Abstract
考慮當原始資料之穩定性迴歸分析結果未符合剩餘均方互為均質的提前時，尋求最適變數轉換的方法，進而檢討轉換資料對動態模式下各種穩定性分析的影響。根據Schlesselman (1973)之考慮log｛樣本均方｝對log｛樣品平均值｝的直線迴歸估式，大致可求得一最適指數轉換值範圍。Arabidopsis thaliana之24個自交系鮮重資料經logY或Y□轉換，兩種資料轉換型態進行穩定性分析的結果極為相近：資料轉換與否，對於品系穩定性之評估與鑑別上大體相同。不過，轉換資料後由於變方均質化，常造成穩定性系數與表型平均質之間相關程度減低，此反有利於育種家達成選拔高產且穩定之基因型的目標；但是轉換結果，往往也減低了交感效應及各迴歸係數間之差異性，表是各基因型對生長或環境之變化所表現的反應差異變小。
Considering the case of the residual mean squares of deviation from the linear regression, if they are not homogeneous across all genotypes, thus a power transformation of data was proposed. To test the adequacy and necessity of transformation, the effects of transformation of data on stability analysis of dynamic model were discussed. The method of Schlesselman (1973) can be adapted to provide as a means of estimating approximate confidence intervals of a power tansformation for reducing error heterogeneity. The method involves the regression o log {sample variance} on log {sample mean}. Log Y and Y□ transformations were considered in analyzing the fresh data of 24 inbreds of Arabidopsis thaliana, no difference was found between these two transformation scales in the rank order of genotypic stability. However, the use of any data transformation may reduce the correlation between stability index and phenotypic mean because of the removal of heterogeneity of variance. This may help breeders select genotypes having above mean performance and high stability. On the other hand, the magnitudes of interactions and heterogeneity among regressions are also reduced by using data transformation.
Subjects
穩定性動態模式
時空介量
介量
時空
資料
轉換
穩定性動態模式
Publisher
中華農學會
Type
journal article