# brierScore: Multinominal Brier Score In aqp: Algorithms for Quantitative Pedology

 brierScore R Documentation

## Multinominal Brier Score

### Description

Compute a multinominal Brier score from predicted class probabilities and observed class label. Lower values are associated with a more accurate classifier.

### Usage

```brierScore(x, classLabels, actual = "actual")
```

### Arguments

 `x` `data.frame` of class probabilities (numeric) and observed class label (character), see examples `classLabels` vector of predicted class labels (probabilities), corresponding to column names in `x` `actual` name of column containing the observed class, should be character vector not factor

### Value

a single Brier score, representative of data in `x`

D.E. Beaudette

### References

Brier, Glenn W. 1950. "Verification of Forecasts Expressed in Terms of Probability." Monthly Weather Review 78 (1): 1-3. doi:10.1175/1520-0493(1950)078<0001:VOFEIT>2.0.CO;2.

### Examples

```
# columns 'a', 'b', 'c' contain predicted probabilities
# column 'actual' contains observed class label

# a good classifier
d.good <- data.frame(
a = c(0.05, 0.05, 0.10),
b = c(0.90, 0.85, 0.75),
c = c(0.05, 0.10, 0.15),
actual = c('b', 'b', 'b'),
stringsAsFactors = FALSE
)

a = c(0.05, 0.05, 0.10),
b = c(0.90, 0.85, 0.75),
c = c(0.05, 0.10, 0.15),
actual = c('c', 'c', 'c'),
stringsAsFactors = FALSE
)

# class labels are factors
d.factors <- data.frame(
a = c(0.05, 0.05, 0.10),
b = c(0.90, 0.85, 0.75),
c = c(0.05, 0.10, 0.15),
actual = c('b', 'b', 'b'),
stringsAsFactors = TRUE
)

# relatively low value = accurate
brierScore(x = d.good, classLabels = c('a', 'b', 'c'), actual = 'actual')

# high values = not accuate
brierScore(x = d.bad, classLabels = c('a', 'b', 'c'), actual = 'actual')

# message related to conversion of factor -> character
brierScore(x = d.factors, classLabels = c('a', 'b', 'c'), actual = 'actual')

```

aqp documentation built on April 12, 2022, 1:05 a.m.