# dec.err: Number of individuals for which the decision is erroneous. In riskyr: Rendering Risk Literacy more Transparent

## Description

`dec.err` is a frequency that describes the number of individuals in the current population `N` for which the decision is incorrect or erroneous (i.e., cases in which the decision does not correspond to the condition).

## Usage

 `1` ```dec.err ```

## Format

An object of class `numeric` of length 1.

## Details

Key relationships:

1. to probabilities: The frequency of `dec.err` individuals depends on the population size `N` and is equal to the sum of false negatives `mi` and false positives `fa`.

2. to other frequencies: In a population of size `N` the following relationships hold:

• `N = cond.true + cond.false` (by condition)

• `N = dec.pos + dec.neg` (by decision)

• `N = dec.cor + dec.err` (by correspondence of decision to condition)

• `dec.cor = hi + cr`

• `dec.err = mi + fa`

• `N = hi + mi + fa + cr` (by condition x decision)

Current frequency information is computed by `comp_freq` and contained in a list `freq`.

## References

Consult Wikipedia: Confusion matrix for additional information.

`is_freq` verifies frequencies; `num` contains basic numeric parameters; `init_num` initializes basic numeric parameters; `freq` contains current frequency information; `comp_freq` computes current frequency information; `prob` contains current probability information; `comp_prob` computes current probability information.
Other frequencies: `N`, `cond.false`, `cond.true`, `cr`, `dec.cor`, `dec.neg`, `dec.pos`, `fa`, `hi`, `mi`
 ```1 2 3``` ```dec.err <- 1000 * .50 # => sets dec.err to 50% of 1000 = 500 cases. is_freq(dec.err) # => TRUE is_prob(dec.err) # => FALSE, as dec.err is no probability (but acc, bacc/wacc ARE) ```