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Scale Manipulation (Uneven Intervals)

Also Known As: dual axis trick uneven intervals logarithmic scale abuse axis manipulation
Statistical Error ID: scale_manipulation

Definition

Scale manipulation involves using uneven intervals, non-linear scales, dual axes, or inconsistent unit sizes to distort the visual impression of data. Unlike simple axis truncation, scale manipulation may use logarithmic scales without disclosure, change interval sizes partway through an axis, or employ dual y-axes with different scales to make two unrelated trends appear correlated. These techniques can make flat trends look dramatic or dramatic changes look gradual.

Examples

A graph shows tax revenue and crime rate on dual y-axes. The left axis for tax revenue runs from $0 to $100 billion; the right axis for crime runs from 400 to 410 incidents per 100,000. The two lines appear to track each other perfectly, implying causation, but the crime axis covers a trivial range while the revenue axis spans the full range.

An energy drink advertisement plots its product's caffeine content alongside competitors using a bar chart where the y-axis jumps from 0 to 140mg and then has an unannounced break before continuing to 160mg. The brand's bar, sitting just above the break, appears dramatically taller than rivals with nearly identical caffeine levels.

A climate skeptic blog displays a temperature anomaly graph with the y-axis spanning –10°C to +10°C, compressing a consistent 1.2°C warming trend over a century into a nearly flat, visually imperceptible line, making the change appear trivial.

Verification Steps
Verification Steps
Binary yes/no questions that an AI must answer to detect a reasoning pattern in a text.
Each of the 452 aspects has verification steps — simple yes/no questions designed to systematically detect whether a pattern appears in a text. For ad hominem: "Does the argument attack a person rather than their claim?" For false dichotomy: "Are only two options presented when more exist?" This ensures consistent, reproducible analysis.

Binary (yes/no) questions an LLM must answer to identify this aspect:

  1. 1

    Are the intervals on the axes evenly spaced?

    Type: binary
  2. 2

    Is the scale type (linear, logarithmic) clearly labeled?

    Type: binary
  3. 3

    Does switching to an even scale change the visual impression of the trend?

    Type: binary
  4. 4

    Are different parts of the graph using different scales?

    Type: binary
Deep Dive
The expandable detail section on each aspect page with examples, psychology, and counter-strategies.
The Deep Dive section provides in-depth information about each aspect: a real-world example showing the pattern in action, an explanation of why it works psychologically, practical advice on how to counter it, alternative names, and links to related aspects.

Hierarchical Context