4:42 AM
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Could anyone just tell me what does he, mean by at the point $2$, selecting a number according to the probabilities, $p(x_0)$? does he meant to chhose the largest one out of $p_i(x_0), i=1,2,\dots,N$?, let me write, $p_i$ are probability functions $X$, and $\sum_{i=1}^{N} p_i(x)=1\forall x\in X...
new-tag Two [new tags(math.stackexchange.com/tags?tab=new) two-way-anova and anova were created by Markov (formerly Wow) in the question Covariance of errors $\text{cov}(\hat{e_{ij}},\hat{e_{i\ell}})$ in Two-Way Anova model.
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Exercise : Consider the Two-Way Anova model $Y_{ij} = \mu + a_i + b_j + e_{ij}$ with $i = 1, \dots, p$ and $j=1,\dots,q$. Show that : $$\text{cov}(\hat{e_{ij}},\hat{e_{i\ell}}) = -\sigma^2\left(\frac{1}{q} - \frac{1}{pq}\right), \quad j \neq \ell$$ Attempt/Thoughts : So, this is part of ...
Analysis of variance (ANOVA) is a collection of statistical models and their associated estimation procedures (such as the "variation" among and between groups) used to analyze the differences among group means in a sample. ANOVA was developed by statistician and evolutionary biologist Ronald Fisher. In the ANOVA setting, the observed variance in a particular variable is partitioned into components attributable to different sources of variation. In its simplest form, ANOVA provides a statistical test of whether the population means of several groups are equal, and therefore generalizes the t-test...
In statistics, the two-way analysis of variance (ANOVA) is an extension of the one-way ANOVA that examines the influence of two different categorical independent variables on one continuous dependent variable. The two-way ANOVA not only aims at assessing the main effect of each independent variable but also if there is any interaction between them.
== History ==
In 1925, Ronald Fisher mentions the two-way ANOVA in his celebrated book from 1925, Statistical Methods for Research Workers (chapters 7 and 8). In 1934, Frank Yates published procedures for the unbalanced case. Since then, an extensive...
13 hours later…
5:38 PM
@MartinSleziak The tag two-way-anova was removed by Saad. By mistake I wrote taht it was created by Markov - it was actually Rebellos.
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