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Table 2 Expected values (i.e., losses)

From: Value of information analysis for assessing risks and benefits of nanotechnology innovation

Loss type

Enumeration

Normal approximation

Class.

Quadratic

Linear

Class.

Quadratic

Linear

Expected value (L′)

\( L_{c}^{{\prime }} \) 0.43210

\( L_{q}^{{\prime }} \) 0.07483

\( L_{q}^{{\prime }} \) 0.01057

\( L_{q}^{{\prime }} \) 0.42057

NA

\( L_{l}^{{\prime }} \) 0.00000

Expected perfect value (L*)

\( L_{c}^{*} \) 0.00000

\( L_{q}^{*} \) 0.00000

\( L_{q}^{*} \) 0.00000

\( L_{q}^{*} \) 0.00000

NA

\( L_{l}^{*} \) 0.00000

Expected value of perfect information (EVPI)

0.43210

0.07483

0.01057

0.42057

NA

0.00000

Expected value for the strategy “research on risks” (Lr)

\( L_{c}^{r} \) 0.03084

\( L_{q}^{r} \) 0.00105

\( L_{q}^{r} \) 0.00044

\( L_{q}^{r} \) 0.32076

NA

\( L_{l}^{r} \) 0.00000

Expected value for the strategy “research on benefits” (Lb)

\( L_{c}^{b} \) 0.09053

\( L_{q}^{b} \) 0.00686

\( L_{q}^{b} \) 0.00161

\( L_{q}^{b} \) 0.36242

NA

\( L_{l}^{b} \) 0.00000

  1. Losses related to the different expected values are reported above where expected perfect value is always zero. Expected values related to the strategies Research on risks and Research on benefits are both significantly lower (one order of magnitude in the enumeration case) than the initial expected value without any information