The yield was measured after the harvest. Because the 3 rd method was not tested on the 4 th type of field (because of a lack of seeds), and the 2 nd method on the 4 th type of field (because of a hail storm), the experiment is a typical example of an unbalanced ANOVA. We have performed an ANOVA with interactions in order to determine the interactions between the types of methods used and the t...

The one-way random-effect ANOVA model is presented, and two simulated datasets are analyzed. and discussed from three points of view: (1) The standard ANOVA table, F test, and method-of-moments estimates of variance components, which can lead to negative estimates. (2) Maximum likelihood estimates of variance components. (3) Bayesian probability intervals for variance components based on flat p...

BACKGROUND Statistical tables are an important component of data analysis and reports in biological sciences. However, the traditional manual processes for computation and presentation of statistically significant results using a letter-based algorithm are tedious and prone to errors. RESULTS Based on the R language, we present two web-based software for individual and summary data, freely av...

We consider inferences in a one-way ANOVA model with equicorrelation error structures. Hypotheses of the equality of the means are discussed. A generalized F-test has been proposed by in the literature to compare the means of all populations. However, they did not discuss the performance of that test. We propose two methods, a generalized pivotal quantities-based method and a parametric bootstr...

Consider the one-way ANOVA problem of comparing the means m1; m2; . . . ; mc of c distributions F1…x† ˆ F…x ÿ m1†; . . . ; Fc…x† ˆ F…x ÿ mc†. Solutions are available based on (i) normal-theory procedures, (ii) linear rank statistics and (iii) M-estimators. The above model presupposes that F1; F2; . . . ; Fc have equal variances (ˆ homoscedasticity). However practising statisticans content that ...

Several permutation strategies are often possible for tests of individual terms in analysis-of-variance (ANOVA) designs. These include restricted permutations, permutation of whole groups of units, permutation of some form of residuals or some combination of these. It is unclear, especially for complex designs involving random factors, mixed models or nested hierarchies, just which permutation ...

• Although relatively robust to the following, ANOVA assumes • Normal distribution of residuals • Variation in each group is similar • ANOVA is sensitive to outliers, and transforms of the data may be necessary • ANOVA is a test of group differences: do at least two of the means differ from each other? • Two-way ANOVA tests a number of sources of variability • It is important to know which sour...