Table 4. Open in new tab Limits that the...

Table 4.

Limits that the ratio of losses $ℓ_{1} / ℓ_{2}$ must not exceed in order for expert output E₁ (i.e. asserted support for H₁ over H₂), in the form of a likelihood ratio m/n of 10³, combined with exemplary prior odds (PO, for H₁ over H₂), to make decision D₁ (reliance on expert output E₁) preferable to decision D₂ (not relying on expert output E₁).

m/n; ${log}_{10} (m / n)$	PO	${log}_{10} (PO)$	Limiting value $ℓ_{1} / ℓ_{2}$	${log}_{10} (ℓ_{1} / ℓ_{2})$
1000; 3	1:100	–2	10	1
	1:10	–1	100	2
	1:1	0	1,000	3
	10:1	1	10,000	4
	100:1	2	100,000	5

m/n; ${log}_{10} (m / n)$	PO	${log}_{10} (PO)$	Limiting value $ℓ_{1} / ℓ_{2}$	${log}_{10} (ℓ_{1} / ℓ_{2})$
1000; 3	1:100	–2	10	1
	1:10	–1	100	2
	1:1	0	1,000	3
	10:1	1	10,000	4
	100:1	2	100,000	5

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