Table 2.
Quantity | Conditions required | Condition type | Result |
---|---|---|---|
reported connections to H (ŷF,H) | 1. probability sample from F | sampling | B.1 |
| |||
average personal network size of F ( ) | 1. probability sample from F | sampling | B.3 |
2. groups of known size total is accurate N𝒜 | survey construction | ||
3. probe alter condition (d̄𝒜,F = d̄F,F ) | survey construction | ||
4. accurate reporting condition (yF,𝒜 = dF,𝒜) | reporting behavior | ||
| |||
average visibility of H ( ) | 1. relative probability sample from H | sampling | C.2 |
2. groups of known size total is accurate N𝒜H∩F | survey construction | ||
3. probe alter condition ( ) | survey construction | ||
4. accurate aggregate reports about visibility (ṽH,𝒜H∩F = vH,𝒜H∩F ) |
reporting behavior | ||
| |||
generalized scale-up ( ) | 1. conditions needed for ŷF,H | sampling | C.8 |
2. conditions needed for | sampling, survey construction, reporting behavior | ||
3. no false positive reports about connections to H (ηF = 1) | reporting behavior | ||
| |||
modified basic scale-up ( ) | 1. conditions needed for ŷF,H | sampling | Sections 2–3 |
2. condition needed for | sampling, survey construction, reporting behavior | ||
3. no false positive reports about connections to H (ηF = 1) | reporting behavior | ||
4. members of H and members of F have same average personal network size (δF = 1) | network structure | ||
5. no false negative reports about connections to H (τF = 1) | reporting behavior |