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Questions tagged [anova]

ANOVA (Analysis of variance) 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.

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How to reproduce this influence statistic found in this Taguchi method example?

Objective: to recreate the influence values given in this online tutorial. The context for this question is from [Design of Experiments][1] from Taguchi. Thank ...
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Monte Carlo scenario analysis on ranked data

I’m currently trying to perform a sensitivity analysis on various possible outcomes of a commercial competition. The competition will involve bidders providing a tender which will have a price in ...
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How to run a repeated measures ANOVA for randomized groups?

I have read this article in here that talks about RANOVA. As I understand there are two types of study design that can use RANOVA. Studies that investigate either (1) changes in mean scores over ...
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Intercept and dummy variables regression significance

I am trying to find the joint significance of the alpha (the intercept) and the dummy variables, $\gamma_1$ and $\gamma_2$. I know the significance of $\alpha$ from the regression intercept t-stat ...
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Is it the right way to use bootstrap on ANOVA test?

I've seen a model arguing that it is a bootstrap ANOVA test. The model is not what I knew. I tried to find if the model is a valid or not, but failed. The procedure is as follows: sample given data ...
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How to calculate $\text{cov}(\hat{Y}_{ij}, \hat{Y}_{kj})$ if $Y_{ij} = \mu + a_i + b_j + e_{ij}$?

Let's assume we have the model following Two-Factor model without replications : $$Y_{ij} = \mu + a_i + b_j + e_{ij}, \; i=1,\dots,p \; \text{and} \; j=1,\dots, q $$ I am interested in calculating ...
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Covariance of errors $\text{cov}(\hat{e_{ij}},\hat{e_{i\ell}})$ in Two-Way Anova model

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(\...