Interpreting Evaluation Metrics: The Challenge

Understanding metrics like accuracy is key to evaluating AI performance. However, raw numbers can be deceptive without proper context. This page explores common pitfalls and introduces Plexus's approach to clearer, more reliable evaluation.

The Big Question: Is This Classifier Good?

When developing an AI system, we need gauges to tell if our model is performing well. Let's consider an "Article Topic Labeler" that classifies articles into five categories: News, Sports, Business, Technology, and Lifestyle. Evaluated on 100 articles, it achieves 62% accuracy.

Article Topic Labeler (Initial View)

Classifies articles into 5 categories. Accuracy: 62%.

Labels: 5 classes
Imbalanced distribution
News
Sports
Business
Technology
Lifestyle
Confusion matrix
News
28
3
3
3
3
Sports
3
9
1
1
1
Business
3
1
8
2
1
Technology
3
1
2
8
1
News
Lifestyle
3
Sports
1
Business
1
Technology
1
Lifestyle
9
Predicted
Actual
Predicted classes
News
Sports
Business
Technology
Lifestyle

You achieved 62% accuracy:

010062%
Accuracy

Is 62% accuracy good?

This number seems mediocre. The uncontextualized gauge suggests it's just 'converging'. But is this poor performance, or is there more to the story?

Intuitively, 62% seems somewhat weak—nearly 4 out of 10 articles are wrong. But to judge this, we need a baseline: what accuracy would random guessing achieve?

Pitfall 1: Ignoring the Baseline (Chance Agreement)

Raw accuracy is meaningless without knowing the chance agreement rate. Consider predicting 100 coin flips:

Randomly Guessing Coin Flips

100 fair coin flips (50/50). Random guesses.

Labels: Binary
Balanced distribution
Heads
Tails
Confusion matrix
Heads
24
26
Heads
Tails
26
Tails
24
Predicted
Actual
Predicted classes
Heads
Tails

You achieved 48% accuracy:

010048%
Accuracy

~50% accuracy achieved.

But is this good guessing without knowing the chance baseline?

Always Guessing "Heads"

100 coin flips (e.g., 51 Heads, 49 Tails). Always predict "Heads".

Labels: Binary
Balanced distribution
Heads
Tails
Confusion matrix
Heads
51
0
Heads
Tails
49
Tails
0
Predicted
Actual
Predicted classes
Heads

You achieved 51% accuracy:

010051%
Accuracy

~51% accuracy achieved.

Slightly better, but still hovering around the 50% chance rate.

Key Insight: The Baseline Problem

Both strategies hover around 50% accuracy. This is the base random-chance agreement rate for a binary task. Without understanding this baseline, raw accuracy numbers are uninterpretable. Any reported accuracy must be compared against what random chance would yield for that specific problem.

Pitfall 2: The Moving Target of Multiple Classes

The chance agreement rate isn't fixed; it changes with the number of classes. For example, consider guessing the suit of a randomly drawn card from a standard 4-suit deck:

Guessing Card Suits (4 Classes)

Standard deck, four equally likely suits. Random guesses might yield ~23-25% accuracy.

Labels: 4 classes
Balanced distribution
♥️
♦️
♣️
♠️
Confusion matrix
♥️
12
13
13
14
♦️
13
12
14
13
♣️
13
14
12
13
♥️
♠️
14
♦️
13
♣️
13
♠️
12
Predicted
Actual
Predicted classes
♥️
♦️
♣️
♠️

You achieved 23% accuracy:

010023%
Accuracy

~23% accuracy in this run.

The fixed gauge makes this look terrible. Is it?

Misleading Raw View

For a 4-class problem, 25% is the actual random chance baseline. The raw gauge is deceptive here.

Key Insight: Number of Classes Shifts the Baseline

The baseline random-chance agreement rate dropped from 50% (for 2 classes like coin flips) to 25% (for 4 classes like card suits). This is a critical concept: as the number of equally likely options increases, the accuracy you'd expect from random guessing decreases. Therefore, a 30% accuracy is much better for a 10-class problem (10% chance) than for a 2-class problem (50% chance).

Pitfall 3: The Illusion of Class Imbalance

The distribution of classes in your data (class balance) adds another layer of complexity. If a dataset is imbalanced, a classifier can achieve high accuracy by simply always predicting the majority class, even if it has no real skill.

Stacked Deck (75% Red): Random 50/50 Guess

Deck: 75% Red, 25% Black. Guess strategy: 50/50 Red/Black (ignores imbalance).

Labels: Binary
Imbalanced distribution
Red
Black

You achieved 52% accuracy:

010052%
Accuracy

~52% accuracy.

Strategy doesn't exploit the deck's known 75/25 imbalance.

Stacked Deck (75% Red): Always Guess Red

Deck: 75% Red, 25% Black. Guess strategy: Always predict Red.

Labels: Binary
Imbalanced distribution
Red
Black

You achieved 75% accuracy:

010075%
Accuracy

75% accuracy!

Deceptively High!

This 75% is achieved by exploiting the imbalance (always guessing majority), not by skill.

A more extreme example: an email filter claims 97% accuracy at detecting prohibited content. However, if only 3% of emails actually contain such content, a filter that labels *every single email* as "safe" (catching zero violations) will achieve 97% accuracy.

The "Always Safe" Email Filter (97/3 Imbalance)

Labels all emails as 'safe'. Actual: 97% Safe, 3% Prohibited.

Labels: Binary
Imbalanced distribution
Safe

You achieved 97% accuracy:

010097%
Accuracy

97% accuracy! Sounds great?

CRITICAL FLAW!

This model detects ZERO prohibited content. It's worse than useless, providing a false sense of security.

Key Insight: Imbalance Inflates Naive Accuracy

Raw accuracy scores are deeply misleading without considering class imbalance. A high accuracy might simply reflect the majority class proportion, not actual predictive power. A 97% accuracy could be excellent for a balanced problem, mediocre for a moderately imbalanced one, or indicative of complete failure in rare event detection.

Plexus's Solution: A Unified Approach to Clarity

To overcome these common pitfalls and provide a true understanding of classifier performance, Plexus employs a two-pronged strategy that combines contextualized raw metrics with inherently context-aware agreement scores:

  1. Contextualized Accuracy Gauges: We don't just show raw accuracy; we show it on a dynamic visual scale. The colored segments of our Accuracy gauges adapt based on the number of classes *and* their distribution in your specific data. This immediately helps you interpret if an accuracy score is good, bad, or indifferent *for that particular problem context*.
  2. Inherently Context-Aware Agreement Gauges: Alongside accuracy, we prominently feature an Agreement gauge (typically using Gwet's AC1). This metric is specifically designed to calculate a chance-corrected measure of agreement. It *internally* accounts for the number of classes and their distribution, providing a standardized score (0 = chance, 1 = perfect) that reflects skill beyond random guessing. This score is directly comparable across different problems and datasets.

Let's see how this unified approach clarifies the performance of our Article Topic Labeler (which had 62% raw accuracy, 5 classes, and an imbalanced distribution with 40% "News"):

Article Topic Labeler - The Plexus View

5-class, imbalanced (40% News). Accuracy: 62%, Gwet's AC1: 0.512

Labels: 5 classes
Imbalanced distribution
News
Sports
Business
Technology
Lifestyle
Confusion matrix
News
28
3
3
3
3
Sports
3
9
1
1
1
Business
3
1
8
2
1
Technology
3
1
2
8
1
News
Lifestyle
3
Sports
1
Business
1
Technology
1
Lifestyle
9
Predicted
Actual
Predicted classes
News
Sports
Business
Technology
Lifestyle
-10.20.50.801.51
Agreement
0254555.06510062%
Accuracy

Key Insight:

The contextualized Accuracy gauge (right) shows 62% as 'good' for this specific 5-class imbalanced problem—better than just guessing 'News' (40%) or random 5-class (20%). The Agreement gauge (left, AC1=0.512) confirms moderate skill beyond chance, consistently accounting for all contextual factors. Both gauges together provide a clear, reliable picture.

The Power of Two Gauges

This combined approach offers robust and intuitive understanding:

  • The Contextualized Accuracy Gauge clarifies what the raw 62% accuracy means for *this specific task's complexities* (5 classes, imbalanced).
  • The Agreement Gauge provides a single, standardized score (AC1 of 0.512) measuring performance *above chance*, directly comparable across different problems.

Together, they prevent misinterpretations of raw accuracy and offer true insight into a classifier's performance.

Dive Deeper into the Solutions

To understand the detailed mechanics of how Plexus contextualizes Accuracy gauges and how the Agreement gauge works across various scenarios, explore our dedicated guide:

Next Steps

Explore further documentation to enhance your understanding: