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Table 1 Cost Path for Scenarios 1 and 2 in the N-Person Model

From: Investment in online self-evaluation tests: A theoretical approach

 

Scenario 1

Scenario 2

t = 0

Potentially Traumatic Experience

n individuals take the online self-evaluation test.

Costs: n·IDC 0(A 1)

Potentially Traumatic Experience

No one takes the test.

Costs = 0

t = 1

Proportion π need therapy.

Costs: n·π·STC 1(A 1)

(1-Ï€) are not ill and do not need therapy.

Proportion π need therapy.

Costs: n·π·LTC 1(A 2)

(1-Ï€) are not ill and do not need therapy.

 

Resulting total costs:

n ⋅ I D C 0 ( A 1 ) + n ⋅ π ⋅ S T C 1 ( A 1 ) ( 1 + i ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemOBa4MaeyyXICTaemysaKKaemiraqKaem4qam0aaSbaaSqaaiabicdaWaqabaGccqGGOaakcqWGbbqqdaWgaaWcbaGaeGymaedabeaakiabcMcaPiabgUcaRKqbaoaalaaabaGaemOBa4MaeyyXICTaeqiWdaNaeyyXICTaem4uamLaemivaqLaem4qam0aaSbaaeaacqaIXaqmaeqaaiabcIcaOiabdgeabnaaBaaabaGaeGymaedabeaacqGGPaqkaeaacqGGOaakcqaIXaqmcqGHRaWkcqWGPbqAcqGGPaqkaaaaaa@4E29@

Resulting total costs:

n ⋅ π ⋅ L T C 1 ( A 2 ) ( 1 + i ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaqcfa4aaSaaaeaacqWGUbGBcqGHflY1cqaHapaCcqGHflY1cqWGmbatcqWGubavcqWGdbWqdaWgaaqaaiabigdaXaqabaGaeiikaGIaemyqae0aaSbaaeaacqaIYaGmaeqaaiabcMcaPaqaaiabcIcaOiabigdaXiabgUcaRiabdMgaPjabcMcaPaaaaaa@414A@