In this article we consider the Two-Way ANOVA model with unequal cell frequencies without the assumption of equal error variances. By taking the generalized approach to finding p-values, classical F-tests for no interaction effects and equal main effects are extended under heteroscedasticity. The generalized Ftests developed in this article can be utilized in significance testing or in fixed le...

د . يواھربلا دمحا باھش رابجلا دبع دعاسم ذاتسا ةیتامولعملاو ءاصحلاا مسق تایضایرلاو تابساحلا مولع ةیلك لملا خ ص ه ضرعتي باسـحل لمعتسـت يتلا تلادعملا ضعبل يئاوشعلا رارقتسلاا ىلإ ثحبلا اذ نيابتلا ليلحت يف تاعبرملا عومجم . ةبلاـس رـيغ تاردقم داجيلإ تلادعملا هذه تلمعتسا دقو أطخلا نيابت نوكمل ردقمك أطخلا تاعبرم لدعم ردقم لمعتسا نيابتلا نوكل . اردقم اضيأ يطعأ ثيروتلا لماعمل . خلاا قتشا امك رـظنب ةـلاق...

When evaluating the clinical performance of a medical imaging device, multi-reader multi-case (MRMC) analysis is usually applied to account for both case and reader variability. For task that equates quantitative measurement, an agreement such as limits (LOA) method can be used compare different measurement methods. In this work, we introduce four types comparisons; these differ depending on wh...

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...