OptimalBinningWoE (version 1.0.8)

ob_gains_table_feature: Compute Gains Table for a Binned Feature Vector

Description

Calculates a full gains table by aggregating a raw binned dataframe against a binary target. Unlike ob_gains_table which expects pre-aggregated counts, this function takes observation-level data, aggregates it by the specified group variable (bin, WoE, or ID), and then computes all statistical metrics.

Usage

ob_gains_table_feature(binned_df, target, group_var = "bin")

Value

A data.frame containing the same extensive set of metrics as

ob_gains_table, aggregated by group_var and sorted by idbin.

Arguments

binned_df

A data.frame resulting from a binning transformation (e.g., via obwoe_apply), containing at least the following columns:

feature

Original feature values (optional, for reference).

bin

Character vector of bin labels.

woe

Numeric vector of Weight of Evidence values.

idbin

Numeric vector of bin IDs (required for correct sorting).

target

A numeric vector of binary outcomes (0 for non-event, 1 for event). Must have the same length as binned_df. Missing values are not allowed.

group_var

Character string specifying the aggregation key. Options:

• "bin": Group by bin label (default).

• "woe": Group by WoE value.

• "idbin": Group by bin ID.

Details

Aggregation and Sorting

The function first aggregates the binary target by the specified group_var. Crucially, it uses the idbin column to sort the resulting groups. This ensures that cumulative metrics (like KS and Gini) are calculated based on the logical order of the bins (e.g., low score to high score), not alphabetical order.

Advanced Metrics

In addition to standard credit scoring metrics, this function computes:

• Jensen-Shannon Divergence: A symmetrized and smoothed version of KL divergence, useful for measuring stability between the bin distribution and the population distribution.

• F1-Score, Precision, Recall: Treating each bin as a potential classification threshold.

References

Siddiqi, N. (2006). Credit Risk Scorecards: Developing and Implementing Intelligent Credit Scoring. Wiley.

Kullback, S., & Leibler, R. A. (1951). On Information and Sufficiency. The Annals of Mathematical Statistics.

Examples

# \donttest{
# Mock data representing a binned feature
df_binned <- data.frame(
  feature = c(10, 20, 30, 10, 20, 50),
  bin = c("Low", "Mid", "High", "Low", "Mid", "High"),
  woe = c(-0.5, 0.2, 1.1, -0.5, 0.2, 1.1),
  idbin = c(1, 2, 3, 1, 2, 3)
)
target <- c(0, 0, 1, 1, 0, 1)

# Calculate gains table grouped by bin ID
gt <- ob_gains_table_feature(df_binned, target, group_var = "idbin")

# Inspect key metrics
print(gt[, c("id", "count", "pos_rate", "lift", "js_divergence")])
# }