Testing Homogeneity in the Linearized Almost Ideal Demand System
通过蒙特卡洛模拟，比较了线性化AIDS模型中不同价格指数下同质性假设的精确检验与LR检验的表现，发现检验的尺寸扭曲受价格相关性、数据时间序列特性和价格指数选择的影响，但无法解释实证中同质性被过度拒绝的现象。
Abstract The behavior of exact tests for homogeneity ( F and Hotelling T 2 ) is compared with size‐adjusted LR tests in the linearized AIDS model with different approximating price indexes (Stone, Paasche, Laspeyres). The Monte Carlo evidence shows that test size distortions are sensitive to the correlation structure of prices, the time‐series properties of the data, and the choice of price index. None of the results explains the persistent over‐rejection of homogeneity in applied work.