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Statistical study of color-measurement instrumentation.

R T Marcus, F W Billmeyer

|February 4, 2010

Summary

This study quantifies the beneficial effects of averaging instrumental color-measurement data. Averaging reduces variability in tristimulus values and chromaticity coordinates for improved color difference measurements.

Area of Science:

Color Science
Metrology
Statistical Analysis

Background:

Instrumental color measurement is crucial for quality control.
Understanding measurement variability is essential for accurate color difference assessment.
Existing spectrophotometers have different measurement capabilities.

Purpose of the Study:

To statistically analyze the variability of colorimetric data from two different instruments.
To quantify the impact of averaging on measurement precision.
To evaluate error in color difference measurements.

Main Methods:

Utilized a Kollmorgen KCS-40 and a General Electric Recording Spectrophotometer.
Performed 48 measurements per sample across three modes for ten samples.

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Constructed frequency distributions for tristimulus values, chromaticity coordinates, and color differences.

Main Results:

Variability in colorimetric quantities was statistically analyzed.
The positive impact of data averaging on reducing measurement error was demonstrated.
Error in color difference measurements was studied using specific sample pairs.

Conclusions:

Averaging instrumental color-measurement data significantly enhances precision.
The findings provide a quantitative basis for improving color difference measurement accuracy.
This study contributes to the understanding of spectrophotometer performance and data analysis techniques.