Social Sampling & Comparative Paradoxes

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Abstractions about sampling networks, population comparison, ecological inference, perceived superiority, civic selection, and paradoxes arising from social structure.

8 abstractions in this family — domain-specific abstractions that sit near one another in structural-signature space (k-means over structural-signature embeddings). Each is shown with its short description.

• Atomistic Fallacy — The inferential error of reading a within-individual relationship directly onto a group or population, ignoring the contextual variance operating only at the group level — the mirror image of the ecological fallacy.
• Civic lottery — A sortition procedure that randomly selects citizens for public office, deliberative bodies, or civic duties from an eligible population.
• Flynn Effect — Track the sustained cohort-to-cohort rise in raw intelligence-test scores — strongest on abstract fluid-reasoning tasks and largely hidden by periodic renorming — together with its later plateau or reversal in some populations.
• Friendship Paradox — Explain why your friends have more friends than you as the exact consequence of edge-sampling — reaching a node by following a tie over-represents high-degree nodes by exactly the degree variance divided by the mean.
• Illusory Superiority — The aggregate finding that a clear majority of people place themselves above their reference group's median on desirable traits — mathematically impossible — because unconstrained self-rating shifts each person slightly upward until the summed biases overflow the distributional ceiling.
• Influence Diagram — A typed directed acyclic graph that joins uncertain variables, choices, available information, and value functions so a decision problem can be evaluated for an expected-utility-maximizing policy.
• Polykay — Estimate a specified product of population cumulants without finite-sample bias by evaluating its partition-indexed symmetric polynomial on an i.i.d. sample.
• Snowball Sampling — Recruit an unenumerable population by seeding a few participants and having each nominate others along their social ties, substituting relational proximity for random selection and buying access at the cost of representativeness.