Large Dataset of Generalization Patterns in the Number Game

272,700 two-alternative forced choice responses in a simple numerical task modeled after Tenenbaum (1999, 2000), collected from 606 Amazon Mechanical Turk workers. Subjects were shown sets of numbers length 1 to 4 from the range 1 to 100 (e.g. {12, 16}), and asked what other numbers were likely to belong to that set (e.g. 1, 5, 2, 98). Their generalization patterns reflect both rule-like (e.g. “even numbers,” “powers of two”) and distance-based (e.g. numbers near 50) generalization. This data set is available for further analysis of these simple and intuitive inferences, developing of hands-on modeling instruction, and attempts to understand how probability and rules interact in human cognition.

本数据集包含272,700条二择迫选任务（two-alternative forced choice）反应数据，其任务范式基于Tenenbaum（1999、2000）提出的简单数值推理任务设计，共招募606名亚马逊机械 Turk（Amazon Mechanical Turk）平台受试者完成实验。受试者将看到由1至4个数字构成的集合，数字取值范围为1至100（例如集合{12, 16}），并被要求判断哪些其他数字更可能属于该集合（例如1、5、2、98）。受试者的泛化推理模式同时体现了规则导向（如“偶数”“2的幂”）与距离依赖（如数值靠近50）两类特征。本数据集可用于进一步分析这类简单直观的推理过程、开发实操性建模教学内容，以及探索人类认知中概率与规则的相互作用机制。