Coding typology rows and columns as 0 and 1 smuggles in an ordinal claim.

Evidence

Critical to these 2 × 2 typologies—to give them a name—is the extent to which row and column are ordinal. As always, terminology is important. These are typically coded as 0 or 1: this already suggests an ordinal ranking. While 0 and 1 might be arbitrary, one needs to specifically discuss this. Things would be clearer if rows and columns were designated by arbitrary symbols (or even emojis!). — Gary Goertz, Social Science Concepts and Measurement, 1285

Categorization

• SEED: Angle: the hidden ordinal assumptions in 0/1 dummy coding — how notation does conceptual work before any analysis happens.
• SHARE: Send to anyone who teaches methods — the emoji suggestion for arbitrary category labels is a genuinely fun teaching device.