# PRESS statistic

**PRESS**

In statistics, the predicted residual error sum of squares (PRESS) statistic is a form of cross-validation used in regression analysis to provide a summary measure of the fit of a model to a sample of observations that were not themselves used to estimate the model.wikipedia

8 Related Articles

### Cross-validation (statistics)

**cross-validationcross validationLeave-one-out cross-validation**

In statistics, the predicted residual error sum of squares (PRESS) statistic is a form of cross-validation used in regression analysis to provide a summary measure of the fit of a model to a sample of observations that were not themselves used to estimate the model.

An extreme example of accelerating cross-validation occurs in linear regression, where the results of cross-validation have a closed-form expression known as the prediction residual error sum of squares (PRESS).

### Statistics

**statisticalstatistical analysisstatistician**

In statistics, the predicted residual error sum of squares (PRESS) statistic is a form of cross-validation used in regression analysis to provide a summary measure of the fit of a model to a sample of observations that were not themselves used to estimate the model.

### Regression analysis

**regressionmultiple regressionregression model**

In statistics, the predicted residual error sum of squares (PRESS) statistic is a form of cross-validation used in regression analysis to provide a summary measure of the fit of a model to a sample of observations that were not themselves used to estimate the model.

### Overfitting

**overfitover-fittedover-fit**

Models that are over-parameterised (over-fitted) would tend to give small residuals for observations included in the model-fitting but large residuals for observations that are excluded.

### Model selection

**selectingchoose a modelcomparing statistical models**

* Model selection

### Stepwise regression

**forward selectionStepwisestepwise selection**

Usually, this takes the form of a sequence of F-tests or t-tests, but other techniques are possible, such as adjusted R 2, Akaike information criterion, Bayesian information criterion, Mallows's C p, PRESS, or false discovery rate.

### List of statistics articles

**list of statistical topicslist of statistics topics**

PRESS statistic