Testing non-nested semiparametric models: an application to Engel curves specification
提出一种J检验统计量，用于区分参数部分非嵌套的两类半非线性回归模型，并通过蒙特卡洛实验和1980年西班牙支出调查数据验证了其在恩格尔曲线设定检验中的效果。
This paper proposes a test statistic for discriminating between two partly non-linear regression models whose parametric components are non-nested. The statistic has the form of a J-test based on a parameter which artificially nests the null and alternative hypotheses. We study in detail the realistic case where all regressors in the non-linear part are discrete and then no smoothing is required on estimating the non-parametric components. We also consider the general case where continuous and discrete regressors are present. The performance of the test in finite samples is discussed in the context of some Monte Carlo experiments. The test is well motivated for specification testing of Engel curves. We provide an application using data from the 1980 Spanish Expenditure Survey. © 1998 John Wiley & Sons, Ltd.