# Tagged Questions

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### Total Sum of Squares (TSS) - Exponential Regression

The total sum of squares is expressed as below [1][2], \begin{align} \rm{TSS} &= MSS + ESS \end{align} \begin{align} \sum_{i=1}^n (y_{i}-\overline{y})^2 &= \sum_{i=1}^n ...
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### Can I use pool.scalar in mice (R) to pool test statistics?

After obtaining multiply imputed datasets and performing the desired analysis (in my case a repeated measures ANOVA), I want to pool test statistics (such as sum of squares or F-statistics) in order ...
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### Why do we use a one-tailed test [F-test] in analysis of variance (ANOVA)?

Can you give the reason for using a one tailed test in the analysis of variance test? Why do we use a one-tail test - the F-test - in ANOVA?
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### ANOVA sum of squares between groups

I'm trying to get an intuitive understanding of why the sum of squares between groups needs to be multiplied by the number of observations within each group. Using the ...
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### Choice between Type-I, Type-II, or Type-III ANOVA

We have a dataset with three variables (dV: self-reported measure on scale 1-5, assumed to be metric; iV1: factor with 4 levels; iV2: factor with 8 levels). We are interested whether the dV differs in ...
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### Are the sequential sum of squares appropriate when treatments must be applied in sequence?

I'm working with some modeled future stream flow data that was created in two steps. First, future precipitation predictions (at certain points in a watershed) were created by running historical ...
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### How to Partition An Interaction SS in ANOVA

I'm a new user of R and I'm trying to replicate Table 6.18 on page 262 in Statistical Procedures in Agricultural Research, By K. A. Gomez and A. A. Gomez. New York, Chichester, etc.: Wiley (1984). ...
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### Type III sums of squares

I have a linear regression model with one categorical variable $A$ (male & female) and one continuous variable $B$. I set up contrasts codes in R with ...
648 views

### R, Differences between lm and aov

What does explain the differences in p.values in the following aov and lm ? Is the difference only due to different types of Sum of square calculations ? ...
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### Type I ANOVA tests not depending on the order of the factors

I have a dataset with two factors A and B and the following design (contigency table showing the number of individuals for each ...
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### Different Mean Square partitions in an unbalanced bifactorial ANOVA (with random factor) between R and Statistica

I am trying to extract variance components for selection and chance in a bifactorial design with Generation as a fixed factor and Replicate as a random term, for early fecundity. Since I am using ...
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### Missing cells with Type III SS

I have a linear model of the form y ~ x + z + x:z. I have unbalanced data and further have a few missing cells (data would be unbalanced even without those missing cells). My understanding of the ...
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### Proper order of variables in unbalanced ANOVA

If you have unequal sample sizes in cells, then the order in which you enter model terms changes your results for sequential or Type I SS. The first variable to enter the model is allocated its ...
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### Using and interpreting type I SOS in three-way ANOVA

My research question is from education: To test whether groups (university, department, gender) differ based on their scores in a test, and whether there are any interaction effects, I'll do 3-way ...
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### Analysis of variance table for 2x2 cross-over trials

I am trying to reproduce the anova table for a 2x2 cross-over design. I used the data listed in tables 2.1 and 2.2 of the "Design and Analysis of cross-over trials" book, by Jones and Kenward. I am ...
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### How to interpret type I (sequential) ANOVA and MANOVA?

My primary question is how to interpret the output (coefficients, F, P) when conducting a Type I (sequential) ANOVA? My specific research problem is a bit more complex, so I will break my example into ...
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### Collinearity between categorical variables

There's a lot about collinearity with respect to continuous predictors but not so much that I can find on categorical predictors. I have data of this type illustrated below. The first factor is a ...
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### How to specify specific contrasts for repeated measures ANOVA using car?

I am trying to run a repeated measures Anova in R followed by some specific contrasts on that dataset. I think the correct approach would be to use Anova() from the ...
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### How to implement a weighted 3-way ANOVA in unbalanced design?

I have implemented a three-way anova with type III sum of squares in c++. Since some of my experiments (observations) are more important (more informative), I want to give them a higher weight in my ...
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### The effect of the number of replicates in different cells on the results of ANOVA

I have written 3way-anova in c++. I have 3 factors, lets say a,b and c and my aim to check the strength of all possible interactions and main effects.The result of my code is the same as MATLAB when I ...