**Other Uses of The Word "error" in Statistics**

The use of the term "error" as discussed in the sections above is in the sense of a deviation of a value from a hypothetical unobserved value. At least two other uses also occur in statistics, both referring to observable prediction errors:

Mean square error or **mean squared error** (abbreviated MSE) and **root mean square error** (RMSE) refer to the amount by which the values predicted by an estimator differ from the quantities being estimated (typically outside the sample from which the model was estimated).

**Sum of squared errors**, typically abbreviated SSE or SS_{e}, refers to the residual sum of squares (the sum of squared residuals) of a regression; this is the sum of the squares of the deviations of the actual values from the predicted values, within the sample used for estimation. Likewise, the **sum of absolute errors** (SAE) refers to the sum of the absolute values of the residuals, which is minimized in the least absolute deviations approach to regression.

Read more about this topic: Errors And Residuals In Statistics

### Famous quotes containing the words statistics, word and/or error:

“We already have the *statistics* for the future: the growth percentages of pollution, overpopulation, desertification. The future is already in place.”

—Günther Grass (b. 1927)

“I curse all negative purism that tells me not to use a *word* from another language that either expresses something that my own language cannot or does that in a more delicate manner.”

—Johann Wolfgang Von Goethe (1749–1832)

“*Error* is a supposition that pleasure and pain, that intelligence, substance, life, are existent in matter. *Error* is neither Mind nor one of Mind’s faculties. *Error* is the contradiction of Truth. *Error* is a belief without understanding. *Error* is unreal because untrue. It is that which seemeth to be and is not. If *error* were true, its truth would be *error*, and we should have a self-evident absurdity—namely, erroneous truth. Thus we should continue to lose the standard of Truth.”

—Mary Baker Eddy (1821–1910)