# Questions tagged [sums-of-squares]

sum of squares plays an important role in statistical models based on the normal distribution, like ANOVA.

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### Why sum of squares to calculate dispersion [duplicate]

The variance gives an idea of the dispersion of a distribution. To calculate the variance the sum of the difference of each value with the mean, each of these differences squared, is required. The ...
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### Sum of squares of xy bigger than sum of squares for x - how can that be?

I followed this tutorial to visualize R squared. First they define the formula to calculate sums of squares: Then they apply the formula to get sums of squares of ...
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### How does type II vs type III ANOVA work when there are more than two categorical predictors?

For a model with two categorical factors in the form: X = A + B Type I (used if the factors are balanced) calculates SS for each term in the model sequentially as follows: SS(A) then SS(B|A) = SS(A ...
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### How to derive the Sum of Square for Latin Square with repetition

I am studying the Latin Square Design with n repetitions from https://online.stat.psu.edu/stat503/lesson/4/4.4 Let say we talk about the repetitions case 3 i.e. we ...
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### Partial eta square values summing to greater than 1

I am trying to run a factorial ANOVA analysis with partial effects, but it seems that my partial eta square values are totalling above 1, particularly when I specify my contrast with Type II or Type ...
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### How to resolve confusing ANOVA results using type II sums of squares?

Suppose we have the following data from the R package afex: ...
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### Do I calculate the loss of a regression on the normalized or denormalized data?

I worked on implementing a simple MLP network, which should guess a numerical value based on different values. Basically it's a regression task. This was a few months ago. Everything worked fine, the ...
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### What is "explained" by the explained/regression sum of squares?

We are in a regression setting. Let's start by defining some notation and terminology. $y_i$ is observation $i$ of some (response) variable $Y$. $\hat{y}_i$ is the value of $y_i$ predicted by a ...
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### How can you convert sum of squares deviation to an r-squared value?

I would like to calculate the r-squared value for some regressions. The model (its in a GUI) I am using gives me "goodness of fit" in terms of the sum of squares deviation. I am using ...
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### Computing sum squared distances without computing center

Given an even number of sample points in a plane, I want to compute the sum of squared distances from the sample center as part of estimating the Rayleigh parameter. One way of doing it is to compute ...
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### Cannot understand why total SS＝explained SS+unexplained SS

I cannot understand why total SS＝explained SS+unexplained SS because geometrically the sum of two small squares is not equal to a big square. I wish someone could explain that to me. Thank you.
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### Different results for type I and type II ANOVA

I am performing an ANOVA for a research question. I want to to test whether "Grade", "Nim" and "Tim" has a significant influence on "value". My question is ...
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