mlr3measures (version 1.0.0)

bias: Bias

Description

Measure to compare true observed response with predicted response in regression tasks.

Usage

bias(truth, response, sample_weights = NULL, ...)

Value

Performance value as numeric(1).

Arguments

truth

(numeric())
True (observed) values. Must have the same length as response.

response

(numeric())
Predicted response values. Must have the same length as truth.

sample_weights

(numeric())
Vector of non-negative and finite sample weights. Must have the same length as truth. The vector gets automatically normalized to sum to one. Defaults to equal sample weights.

...

(any)
Additional arguments. Currently ignored.

Meta Information

• Type: "regr"

• Range: \((-\infty, \infty)\)

• Minimize: NA

• Required prediction: response

Details

The Bias is defined as $$ \frac{1}{n} \sum_{i=1}^n w_i \left( t_i - r_i \right), $$ where \(w_i\) are normalized sample weights. Good predictions score close to 0.

See Also

Other Regression Measures: ae(), ape(), ktau(), linex(), mae(), mape(), maxae(), maxse(), medae(), medse(), mse(), msle(), pbias(), pinball(), rae(), rmse(), rmsle(), rrse(), rse(), rsq(), sae(), se(), sle(), smape(), srho(), sse()

Examples

set.seed(1)
truth = 1:10
response = truth + rnorm(10)
bias(truth, response)