Farnsworth-Munsell 100-Hue Test Calculator

Enter cap ranks and compare expected order. See total score, quadrant load, and severity level. Download clean reports for deeper color vision review today.

Calculator Inputs

Example Data Table

Tray Expected Order Sample Entered Order Typical Result
Tray 1 1 through 21 1,2,3,5,4,6 through 21 Small local error near caps 4 and 5
Tray 2 22 through 42 22,23,25,24,26 through 42 Small local error near caps 24 and 25
Tray 3 43 through 63 43,44,45,46 through 63 No local error if order is exact
Tray 4 64 through 85 64,66,65,67 through 85 Small local error near caps 65 and 66

Formula Used

Cap Error Score: |Current Cap - Left Neighbor| + |Current Cap - Right Neighbor| - 2

Total Error Score: Sum of all cap error scores across all four trays.

Error Percent: Total Error Score ÷ Reference Maximum Error × 100

Accuracy Index: 100 - Error Percent

Cap Completeness: Unique entered caps ÷ 85 × 100

The calculator also reports the strongest tray zone and broad axis trend. These trend notes are descriptive only.

How to Use This Calculator

  1. Enter observer details, test date, lighting, and viewing distance.
  2. Type each tray cap order as comma separated cap numbers.
  3. Use the default expected ranges unless your worksheet uses another system.
  4. Adjust severity thresholds when your clinic or class uses custom bands.
  5. Press Calculate Result to view the score above the form.
  6. Use CSV or PDF download buttons to save the report.

Understanding the Farnsworth-Munsell 100-Hue Score

Purpose

The Farnsworth-Munsell 100-Hue test reviews hue discrimination. A person arranges colored caps in a smooth order. The score reflects how far each cap sits from its correct neighbors. Lower values usually show better ordering skill. Higher values show more hue confusion.

Scoring Logic

This calculator uses neighbor based scoring. Each cap is compared with the cap placed before it and after it. Perfect neighboring gives zero error. Swaps create local error around the moved caps. Large jumps create larger scores. The total error score adds every cap score.

Tray Review

The four trays divide the hue circle into practical sections. Tray totals help locate where most mistakes occur. One tray may carry most of the load. Another tray may be almost perfect. This pattern can guide retesting and lighting checks.

Advanced Interpretation

The accuracy index normalizes the total error score against a reference maximum. It is not an official medical grade. It is useful for comparison between practice runs, students, workers, or quality checks. Use the same reference value each time.

Quality Checks

Valid data is important. Missing caps, repeated caps, or caps in the wrong tray can distort the result. The calculator lists these warnings after submission. Correct the sequence first, then score again. Consistent lighting and viewing distance also matter.

Practical Use

This page is useful for classrooms, screening notes, occupational checks, and research logs. It can store observer details, cap order, tray totals, severity bands, and export reports. The CSV file helps spreadsheet analysis. The PDF file gives a simple record for review.

Important Note

Color vision results need professional context. Age, eye health, fatigue, glare, lighting, and monitor conditions may affect performance. This tool supports calculation only. It does not diagnose color vision deficiency. For clinical decisions, use a qualified examiner and controlled test materials.

FAQs

What does the total error score mean?

It is the sum of all local cap ordering errors. A lower score means the entered cap order is closer to the expected hue sequence.

Can this calculator diagnose color vision deficiency?

No. It supports calculation and review only. A qualified examiner should interpret clinical results using controlled materials and proper test conditions.

How should I enter cap numbers?

Enter numbers in the exact order selected by the observer. Use commas, spaces, or line breaks. The calculator reads all numbers from the text box.

Why do duplicates matter?

A repeated cap means one position may be missing or copied incorrectly. This can inflate or distort the total error score.

What is the accuracy index?

It is a normalized percentage based on the reference maximum error. It helps compare repeated trials, but it is not an official clinical score.

Can I change severity bands?

Yes. Edit the low, moderate, and high limits before scoring. This helps match classroom, workplace, or study rules.

What is the dominant error tray?

It is the tray with the largest error total. It helps identify where the strongest hue ordering difficulty appears.

Why should lighting be recorded?

Lighting affects color appearance. Recording it makes repeated tests easier to compare and helps explain unusual score changes.

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