5 · Data Preprocessing & Feature Engineering · Categorical Preprocessing

Ordinal encoding

Ordinal encoding changes how raw variables are represented for analysis or modelling. The transformation should preserve the information needed by the task while making assumptions explicit and reproducible.

Reference lessonPython exampleVisual explanation
Intuition first

What this concept means in practice

Ordinal encoding changes how raw variables are represented for analysis or modelling. The transformation should preserve the information needed by the task while making assumptions explicit and reproducible.

The practical value of Ordinal encoding comes from understanding both the transformation and the boundary around it: what information is allowed to enter, what assumption is being made, and how you know the result is still valid after the transformation.

A beginner-friendly way to reason about it is to start with a tiny case where the correct result can be checked independently. Once the mechanism is clear, scale the exact same reasoning to larger tables, pipelines or models.

PurposeUse when the estimator or analytical method benefits from a different numerical representation.
MechanismFit transformation parameters on training data, apply exactly the learned transformation to validation/test/new data, and preserve the fitted transformer with the model.
EvidenceInspect intermediate and final output; compare with an independent expectation.
Main cautionFitting transformations before the split leaks information and can inflate validation performance.
Mechanism

Trace the operation from input to decision

Fit transformation parameters on training data, apply exactly the learned transformation to validation/test/new data, and preserve the fitted transformer with the model.

1Input→
2Apply rule→
3Inspect state→
4Validate→
5Use result
Key rule
fit on training data → transform training and unseen data with the fitted object
Visual explanation

Make the structure visible

The interactive view uses a concept-specific plot when the topic maps naturally to one; otherwise it uses a workflow view instead of leaving a broken placeholder.

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Practical example

Where you would use it

Standardise continuous variables for a distance-based model while one-hot encoding nominal categories in the same pipeline.

Use when
Use when the estimator or analytical method benefits from a different numerical representation.
Pitfall

What can make the result misleading

Watch out
Fitting transformations before the split leaks information and can inflate validation performance.

A useful diagnostic question is: Could the same code still run successfully if the analytical assumption were wrong? If yes, add an explicit validation check rather than relying on execution success.

Implementation

Miniature Python example

Keep the example small enough that you can inspect each stage manually.

Python
# Step 1 — Import the module so its functions/classes are available to the rest of this example.
import numpy as np
# Step 2 — Import only the named objects needed by the following steps, keeping dependencies explicit.
from sklearn.preprocessing import OrdinalEncoder

# Step 3 — Construct `X` as an array so vectorised numerical operations can be applied consistently.
X = np.array([["low"],["medium"],["high"],["medium"]])
# Step 4 — Fit the model or transformer, learning its parameters from the supplied training data.
enc = OrdinalEncoder(categories=[["low","medium","high"]]).fit(X)
# Step 5 — Apply the already-fitted transformation without relearning its parameters from this data.
Z = enc.transform(X)
# Step 6 — Display the current value explicitly so the result/state can be inspected during execution.
print("STEP 1 · categories:", enc.categories_[0].tolist())
# Step 7 — Display the current value explicitly so the result/state can be inspected during execution.
print("STEP 2 · encoded shape:", Z.shape)
# Step 8 — Display the current value explicitly so the result/state can be inspected during execution.
print("STEP 3 · values:", Z.ravel().astype(int).tolist())
Expected / illustrative output
STEP 1 · categories: ['low', 'medium', 'high']
STEP 2 · encoded shape: (4, 1)
STEP 3 · values: [0, 1, 2, 1]
Implementation checklist

Before you move on

  • Can you state what data or object enters the operation?
  • Can you explain what changes and what must remain invariant?
  • Have you checked the result on a tiny case you can verify independently?
  • Have you considered the main failure mode described above?
  • Can the operation be reproduced from code/formulas and documented assumptions?