Youden's J statistic is defined as:

sens() + spec() - 1

A related metric is Informedness, see the Details section for the relationship.

j_index(data, ...)

# S3 method for data.frame
j_index(data, truth, estimate, estimator = NULL, na_rm = TRUE, ...)

j_index_vec(truth, estimate, estimator = NULL, na_rm = TRUE, ...)

Arguments

data

Either a data.frame containing the truth and estimate columns, or a table/matrix where the true class results should be in the columns of the table.

...

Not currently used.

truth

The column identifier for the true class results (that is a factor). This should be an unquoted column name although this argument is passed by expression and supports quasiquotation (you can unquote column names). For _vec() functions, a factor vector.

estimate

The column identifier for the predicted class results (that is also factor). As with truth this can be specified different ways but the primary method is to use an unquoted variable name. For _vec() functions, a factor vector.

estimator

One of: "binary", "macro", "macro_weighted", or "micro" to specify the type of averaging to be done. "binary" is only relevant for the two class case. The other three are general methods for calculating multiclass metrics. The default will automatically choose "binary" or "macro" based on estimate.

na_rm

A logical value indicating whether NA values should be stripped before the computation proceeds.

Value

A tibble with columns .metric, .estimator, and .estimate and 1 row of values.

For grouped data frames, the number of rows returned will be the same as the number of groups.

For j_index_vec(), a single numeric value (or NA).

Details

The value of the J-index ranges from [0, 1] and is 1 when there are no false positives and no false negatives.

The binary version of J-index is equivalent to the binary concept of Informedness. Macro-weighted J-index is equivalent to multiclass informedness as defined in Powers, David M W (2011), equation (42).

Relevant Level

There is no common convention on which factor level should automatically be considered the "event" or "positive" result. In yardstick, the default is to use the first level. To change this, a global option called yardstick.event_first is set to TRUE when the package is loaded. This can be changed to FALSE if the last level of the factor is considered the level of interest by running: options(yardstick.event_first = FALSE). For multiclass extensions involving one-vs-all comparisons (such as macro averaging), this option is ignored and the "one" level is always the relevant result.

Multiclass

Macro, micro, and macro-weighted averaging is available for this metric. The default is to select macro averaging if a truth factor with more than 2 levels is provided. Otherwise, a standard binary calculation is done. See vignette("multiclass", "yardstick") for more information.

References

Youden, W.J. (1950). "Index for rating diagnostic tests". Cancer. 3: 32-35.

Powers, David M W (2011). "Evaluation: From Precision, Recall and F-Score to ROC, Informedness, Markedness and Correlation". Journal of Machine Learning Technologies. 2 (1): 37-63.

See also

Other class metrics: accuracy(), bal_accuracy(), detection_prevalence(), f_meas(), kap(), mcc(), npv(), ppv(), precision(), recall(), sens(), spec()

Examples

# Two class data("two_class_example") j_index(two_class_example, truth, predicted)
#> # A tibble: 1 x 3 #> .metric .estimator .estimate #> <chr> <chr> <dbl> #> 1 j_index binary 0.673
# Multiclass library(dplyr) data(hpc_cv) hpc_cv %>% filter(Resample == "Fold01") %>% j_index(obs, pred)
#> # A tibble: 1 x 3 #> .metric .estimator .estimate #> <chr> <chr> <dbl> #> 1 j_index macro 0.434
# Groups are respected hpc_cv %>% group_by(Resample) %>% j_index(obs, pred)
#> # A tibble: 10 x 4 #> Resample .metric .estimator .estimate #> <chr> <chr> <chr> <dbl> #> 1 Fold01 j_index macro 0.434 #> 2 Fold02 j_index macro 0.422 #> 3 Fold03 j_index macro 0.533 #> 4 Fold04 j_index macro 0.449 #> 5 Fold05 j_index macro 0.431 #> 6 Fold06 j_index macro 0.413 #> 7 Fold07 j_index macro 0.398 #> 8 Fold08 j_index macro 0.468 #> 9 Fold09 j_index macro 0.435 #> 10 Fold10 j_index macro 0.412
# Weighted macro averaging hpc_cv %>% group_by(Resample) %>% j_index(obs, pred, estimator = "macro_weighted")
#> # A tibble: 10 x 4 #> Resample .metric .estimator .estimate #> <chr> <chr> <chr> <dbl> #> 1 Fold01 j_index macro_weighted 0.542 #> 2 Fold02 j_index macro_weighted 0.527 #> 3 Fold03 j_index macro_weighted 0.597 #> 4 Fold04 j_index macro_weighted 0.515 #> 5 Fold05 j_index macro_weighted 0.524 #> 6 Fold06 j_index macro_weighted 0.492 #> 7 Fold07 j_index macro_weighted 0.466 #> 8 Fold08 j_index macro_weighted 0.535 #> 9 Fold09 j_index macro_weighted 0.468 #> 10 Fold10 j_index macro_weighted 0.501
# Vector version j_index_vec(two_class_example$truth, two_class_example$predicted)
#> [1] 0.6732334
# Making Class2 the "relevant" level options(yardstick.event_first = FALSE) j_index_vec(two_class_example$truth, two_class_example$predicted)
#> [1] 0.6732334
options(yardstick.event_first = TRUE)