Propagation of Errors in Spectrophotometric Colorimetry

Effect of different solutions on color stability of acrylic resin-based dentures

“…The "L" axis is luminosity and ranges from 0 to 100, the "a" coordinate is the quantity of red and green, and the "b" coordinate is the quantity of yellow and blue. 26 The CIE Lab system calculates color variation between two points, based on the following formula: period, the solutions were changed, the samples were washed with water and dried with a paper towel, and new color evaluations were performed. A three-way repeated-measures analysis of variance was performed using SPSS 21.0 statistics software (IBM Corporation, New York, USA) to verify if there were significant differences among the studied factors (resins, dye solutions, and time).…”

Uncertainty analysis for reflectance colorimetry

“…[1][2][3][4][5][6][7][8][9] It has received additional attention with the publication of the ISO Guide to the Expression of Uncertainty in Measurement, 10 which describes methods for estimating uncertainties in a consistent manner. Recent publications have applied the principles of this guide to uncertainty analysis for colorimetry, emphasizing the treatment of correlation.…”

“…First, although sources of uncertainty can be caused by either random or systematic effects, most of the previous analyses were restricted to considering only uncertainties caused by random effects. 1,5,6,8,9 Where uncertainties caused by systematic effects were considered, modeling was performed to calculate 2,4 or minimize 7 the effects of these uncertainties. Second, the importance of correlations due to spectral overlap of the color-matching functions was recognized from the beginning 1,4,5 and has received renewed attention.…”

Precision measurement and calibration :

“…Propagation of error theory has also been applied [120] figure 30 compared with the perceptibility ellipses of MacAdam [91]. This error theory has been applied also to the problem of estimating the uncertainty ellipses resulting from imprecision in measuring spectral exitance of fluorescent lamps [122].…”