155 Supplementary files Probability distributions of differences within one person The probability that k1 C M Y CM MY CY CMY K k1.pdf 1 07-03-2024 22:24 SDM vignettes and k2 C M Y CM MY CY CMY K k2.pdf 1 07-03-2024 22:24 TECH vignettes are drawn, is a multivariate hypergeometric distribution, given by P(SDML =k1, TECHL =k2) = (3 k1)( 4 k2)( 3 3−k1 −k2) (10 3) C M Y CM MY CY CMY K equation-50.pdf 1 07-03-2024 22:25 This probability distribution is shown in table A2. Table A2: Joint probabilities P(SDML =k1, TECHL =k2) C M Y CM MY CY CMY K P(SDM-L=k1, TECH-L=k2).pdf 1 07-03-2024 22:22 within a person. k2 C M Y CM MY CY CMY K k2.pdf 1 07-03-2024 22:24 0 1 2 3 k1 C M Y CM MY CY CMY K k1.pdf 1 07-03-2024 22:24 0 0.0083 0.1000 0.1500 0.0333 1 0.0750 0.3000 0.1500 2 0.0750 0.1000 3 0.0083 Table A3 shows the values of d = k1 −k2 C M Y CM MY CY CMY K d=k1-k2.pdf 1 07-03-2024 22:26 . Non-white cells with the same colour have the same value of d = k1 −k2 C M Y CM MY CY CMY K d=k1-k2.pdf 1 07-03-2024 22:26 , and then the corresponding probabilities in table A2 should be added. Table A3: Values of d = k1 −k2 C M Y CM MY CY CMY K d=k1-k2.pdf 1 07-03-2024 22:26 . k2 C M Y CM MY CY CMY K k2.pdf 1 07-03-2024 22:24 0 1 2 3 k1 C M Y CM MY CY CMY K k1.pdf 1 07-03-2024 22:24 0 0 1 2 3 1 -1 0 1 2 -2 -1 3 -3 From table A2 we can thus compute the probability distribution of TECHL−SDML C M Y CM MY CY CMY K TECH-L-SDM-L.pdf 1 07-03-2024 22:26 . This is given in the last column of table A4. The distribution for the high tier (TECHL−SDML C M Y CM MY CY CMY K TECH-L-SDM-L.pdf 1 07-03-2024 22:26 ) is the same. A
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