Discussion of Variance Analysis:the Single Factor Variance Analysis
Yang Xiao-yong
Abstract
Yang Xiao-yong
Abstract
In this paper,the principle and importance of variance analysis are discussed.The variance analysis includes decomposition of general variance into each component part and analyzing and making conclusions by the use of test of significance approach.The single factor variance analysis is explained in detail.Several questions raised by students are also answered including how to judge whether there is a difference among the average values using different methods and which average value is more reliable when a researcher determines the components or parameters of a specimen using different methods.
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In this paper,the principle and importance of variance analysis are discussed.The variance analysis includes decomposition of general variance into each component part and analyzing and making conclusions by the use of test of significance approach.The single factor variance analysis is explained in detail.Several questions raised by students are also answered including how to judge whether there is a difference among the average values using different methods and which average value is more reliable when a researcher determines the components or parameters of a specimen using different methods.
Key concepts: One-way analysis of variance, Variance (accounting), Analysis of variance, Variance decomposition of forecast errors, Statistics, Variance components, Variance-based sensitivity analysis, Value (mathematics)