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References

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  1. D. B. Judd, Color in Business, Science, and Industry (John Wiley & Sons, Inc., New York, 1952).
  2. J. Berkson, J. Am. Statist. Assoc. 48, 565 (1953).
  3. C. I. Bliss and D. W. Calhoun, An Outline of Biometry (Yale Co-Operative Corporation, New Haven, Connecticut, 1954).
  4. Codex Book Company, Inc., Norwood, Massachusetts.

1953 (1)

J. Berkson, J. Am. Statist. Assoc. 48, 565 (1953).

Berkson, J.

J. Berkson, J. Am. Statist. Assoc. 48, 565 (1953).

Bliss, C. I.

C. I. Bliss and D. W. Calhoun, An Outline of Biometry (Yale Co-Operative Corporation, New Haven, Connecticut, 1954).

Calhoun, D. W.

C. I. Bliss and D. W. Calhoun, An Outline of Biometry (Yale Co-Operative Corporation, New Haven, Connecticut, 1954).

Judd, D. B.

D. B. Judd, Color in Business, Science, and Industry (John Wiley & Sons, Inc., New York, 1952).

J. Am. Statist. Assoc. (1)

J. Berkson, J. Am. Statist. Assoc. 48, 565 (1953).

Other (3)

C. I. Bliss and D. W. Calhoun, An Outline of Biometry (Yale Co-Operative Corporation, New Haven, Connecticut, 1954).

Codex Book Company, Inc., Norwood, Massachusetts.

D. B. Judd, Color in Business, Science, and Industry (John Wiley & Sons, Inc., New York, 1952).

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Figures (1)

Fig. 1
Fig. 1

Plots of log(K/S), corresponding to reflectivity, against log[fb/(1−fb)], where fb is the proportion of a nonlight-scattering black component of a mixture containing also a nonlight-absorbing white colorant. The straight parallel lines represent theoretical values conforming to the Kubelka-Munk analysis at four different ratios of Kb/Sw. The dashed curves are the theoretical values for a purely additive mixture and the values for a textile mixture of Stearns, an empirical formulation.

Equations (8)

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K / S = K b f b / S w f w ,
K / S = K b / S w · f b / ( 1 - f b ) .
ln ( K / S ) = ln ( K b / S w ) + ln [ f b / ( 1 - f b ) ] .
log ( K / S ) = log ( K b / S w ) + log [ f b / ( 1 - f b ) ] .
f b = 1 - R 1 + 17.65 R ,
log [ f b / ( 1 - f b ) ] = log [ ( 1 - R ) / R ] ,
log [ f b / ( 1 - f b ) ] = log [ ( 1 - R ) / 18.65 R ] .
log [ f b / ( 1 - f b ) ] - log [ f b / ( 1 - f b ) ] = log [ ( 1 - R ) / R ] - log [ ( 1 - R ) / 18.65 R ] = log 18.65 = 1.27.