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ANOVA stands for ANalysis Of VAriance, a statistical model and set of procedures for comparing multiple group means. The independent variables in an ANOVA model are categorical, but an ANOVA table can be used to test continuous variables as well.

1 vote

One Way ANOVA, 3 groups with unequal sample sizes

2 3.9 2 7.94 2 7.38 2 16.82 2 11.67 2 13.31 2 9 2 12.79 2 14.1 3 14.6 3 22.9 3 16.38 3 6.77 3 2.75 3 13 3 25.5 With data in this format, you will be able to run the ANOVA
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1 vote

how to interpret insignificant 3-way interaction with two significant 2-way interaction?

The interpretation here is that the slopes for the equation where $C$ predicts $Y$, the dependent variable, are different for group $A=0$ compared to group $A=1$.  And, the same is true for the slope …
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6 votes
Accepted

Peculiarities and semantics of ANOVA

) are built on the ANOVA. … Thus, comparing group means results in an ANOVA table, running a regression produces an ANOVA table, running an ANCOVA produces an ANOVA table, even mixed effects analyses produces an ANOVA table. …
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0 votes

ANOVA with binary dependent variable

No, ANOVA is not the appropriate test. You will want to conduct a chi-square test-of-independence test. …
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1 vote
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Survey analysis trouble, looking for references

My answer is going to direct you down a less conventional path (though I am drawing from other survey research domains...so there may be some value).  Survey research is used a lot in studying motivat …
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3 votes
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Error Term $\epsilon_{ij}$ in $ Y_{ij} = \mu + \alpha_i + \beta_j + \epsilon_{ij} $ Same as ...

I will demonstrate with a 2x2 ANOVA example (with dichotomous groupings and no interaction). … The ANOVA model proposes that there is some group difference based on the row (which we can relate to $\alpha$) and based on the column (which we can relate to $\beta$). …
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8 votes
3 answers
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What is the worst that can happen when the homoscedasticity assumption is violated in ANOVA?

The (omnibus) ANOVA gives $p<\alpha$, and the pairwise $t$-tests suggest $M_2$ is statistically significantly different from the other two groups...but $M_1$ and $M_3$ are not statistically significantly … A quick review of my reference texts suggest ANOVA is rather robust to mild to moderate violations of the homoscedasticity assumption, and even more so with large sample sizes. …
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1 vote

Is a 2-way ANOVA immune to Simpson's Paradox?

The advantage to the 2-way ANOVA is that you have the interaction term. …
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1 vote
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Is it still a factorial ANOVA when one independent variable is a continuous or ordinal variable

The first scenario described could be analyzed as a one between-factor repeated-measures ANOVA (where the pre and post is the repeated measure and the motivation classification is the between factor). … The second scenario would be two-way ANOVA where motivation and treatment are the factors. In the first scenario, the dependent variable is the score (observed at pre and post). …
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2 votes
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Interpretting Interaction plots and significance

As there does not appear to be a difference in the "slope" of the lines for levels 1 and 2 (across either of the categorical variables), the next step is to look at a post hoc 2x3 ANOVA to see if there …
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1 vote

Can I use ANOVA after clustering?

The key is to clearly distinguish between your indicator variables (the variables used in the clustering protocol) and the auxiliary variables (the dependent variables for the post hoc ANOVA and such). … It can be run as an ANOVA or as a multiple regression (where you use the probability assignments for each class as the predictor variables). Hope this helps...happy to elaborate if needed. …
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1 vote

Cooks Distance Confusion

In the 1-way ANOVA case, Cook's distance may be a bit of overkill. Essentially, the question is whether or not any values are "outliers" within each separate group.  … (The regression model for the ANOVA is just estimating the group means, and in turn, the residuals are just the distance of each individual from their group means.)  …
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1 vote

How to compute confidence interval in ANOVA with repeated measures?

If you had run the anova(·) with the lm() or aov() output, you do indeed have one degree of freedom listed in that row. But that degree of freedom is for the estimate of the variance. … The appropriate degrees of freedom for the confidence interval for the effect (i.e., the partial slope of the MR version of the ANOVA) would be the overall model d.f. …
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1 vote

Why is ANOVA non significant when 95% confidence interval of coefficient is for glm model in R?

However, with the anova(·) function, the order does matter (as the output indicates). …
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1 vote
0 answers
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Why is an alpha adjustment not required for factorial ANOVA?

When conducting a 2-way fixed effects ANOVA, there are essentially four null hypothesis statistical tests (NHSTs) that can reasonably conducted with just the ANOVA tables. … As an addition to this, I have the same question for general multiple regression models as well...but I thought it would be easier to present in the 2-way ANOVA context as a question on this forum. …
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