Again, the F test is a test of R2, the percent variation explained. Why is the more complex F statistic traditionally used when R2, which is more directly meaningful, can be used instead? Perhaps the reason is
Test Statistic: F = explained variance / unexplained variance Decision rule: If F > F critical value then reject the null hypothesis. To determine the critical value of an ANOVA f test the degrees of freedom are given by df1df1 = K - 1 and df1df1 = N - K, where N is the overall ...
error value if: The number of data points inarray1orarray2is less than 2. The variance ofarray1orarray2is 0 (zero). The F.TEST value returned by theLINESTfunction differs from the F-test value returned by F.TEST. LINEST returns the F-statistic, whereas F.TEST returns the probability....
It is clear from its formula given in Equation (2) above that the value of F- statistic is determined by T, K, and R². More specifically,the F-statistic is an increasing function of T, given a fixed value of K, as long as the value of R² does not decrease with T; when ...
Ward and Dick went on to extend the model slightly, but Elston (1961) showed that, although this extended model gives a sum of squares that is more effective than Tukey's in accounting for non-additivity, Tukey's method is computationally simpler as well as having a test statistic known ...
To further investigate the differentiation of sub-populations at the chromosome region level, single locus-AMOVA analysis and FST statistic calculation was performed for all sub-population pairwise comparisons (ten in total). Highly significant (P ≤ 0.01) FST values were plotted on the durum ...
403 409 - When **population standard deviation is unknown and we have a sample greater than 30 samples**, we use t-statistic, we use sample standard deviation in the formula. 404 410 - When **population standard deviation is unknown and we have sample size less than 30 samples,** we ...
In linear regression, the coefficient of determination measures the percentage of the total variation in the dependent variable that is explained by the variation in the independent variables. This coefficient takes a value that is between...
3.2. Structural Equation Modeling (SEM) Based on Partial Least Squares (PLS) A popular approach to statistic modeling procedures, which is used in an enormous array of complex modeling areas, is path analysis developed by Wright [56]. Path analysis is one of the special cases of the SEM ...
基于R的群落学多元统计分析 基于 的群落多元统计分析 赖江山（janson)lai@ibcas.ac.cnwww.planta.cn中国科学院植物研究所2010.11.5 1 ——用vegan包进行排序分析 2 vegan软件包简介 vegan是Vegetationanalysis的缩写,是群落分析的package 作者：JariOksanen http://cran.r-project.org/web/packages/vegan/index....