Questions tagged [mse]

MSE stands for Mean Squared Error. It is a measure of the performance of an estimate or prediction, equal to the mean squared difference between the observed values and the estimated / predicted values.

MSE stands for Mean Squared Error. It is a measure of the performance of an estimate or prediction, equal to the mean squared difference between the observed values and the estimated / predicted values. For predictions $\hat{y}_1, \dots, \hat{y}_N$ and corresponding actuals $y_1, \dots, y_N$, the MSE is defined as

$$\text{MSE} := \frac{1}{N}\sum_{i=1}^N(\hat{y}_i-y_i)^2.$$

Alternatives to the MSE as a point forecast accuracy measure include the , the and the .

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Multiple interpretations of MSE

I recently discovered that MSE can mean multiple things: MSE for predictor (mean of squared errors) MSE for estimator (variance+ bias^2) MSE in regression analysis (residual sum of squares divided by degrees of freedom) My questions are, 1. Why…
Bach
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Relationship among MSE of three regression models

Suppose that we fit three regression models (OLS linear regression) with training mean squared error MSE_1, MSE_2, and MSE_3. We know that the first model 1 has first 7 predictors, the second model 2 has additional two more predictors, and the last…
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models with very similar MSE - how to select the best model?

I am trying to model the P300 complex of event-related potentials across conditions. For that, I randomly sample parameters, fit a model with these parameters and keep record of parameters vectors that give a reasonable mean squared error (MSE).…
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Mean Squared Error Question

So I am struggling with the following question. It asks to show that the MSE($\hat{p}_1$)=$\frac{4-16p+16p^2+np-np^2}{(n+4)^2}$ Where $\hat{p}_1$= $\frac{X+2}{n+4}$, $E(X)=np$ and $Var(X)=np(1-p)$ i.e. Binomial Distribution I am aware of the…
user158031
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Is it a valid metric to divide mean squared error (MSE) by the range of the values in the original vector?

Say I have a vector of values v, and I have an estimate of those values, say I call this vector e. In order to compute the goodness of the estimate, I compute mean([v-e]^2), which is MSE, and to get a reasonable error between 0 and 1, I divide this…
user5054
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