空间面板数据模型设定问题分析

空间面板数据模型将空间计量经济学和面板数据方法相结合,不仅同时考虑时空特征,而且将空间效应纳入研究体系,成为当前计量经济学的热点研究领域,但其模型设定、参数估计及模型检验也更为复杂,实证研究中往往出现模型设定偏误等问题。因此,基于空间面板数据模型的前沿理论,重点探讨模型设定中的常见问题,包括空间滞后模型与空间误差模型的选择、随机效应与固定效应的选择以及模型拟合优度的选择与比较,为模型的应用和新模型的扩展提供理论依据和参考。     

面板数据模型的设定、统计检验和新进展

在介绍面板数据及其优势与局限的基础上,首先,从异质性、时变性和相关性的观点对静态面板数据计量模型的设定、动态面板数据模型的估计方法和Granger因果检验进行系统的讨论。其次,按照假设检验的零假设进行分类,系统阐述面板单位根检验和协整检验理论。最后,介绍面板数据计量经济学的一些新进展。     

面板数据模型的类型识别检验的EViews实现

面板模型的正确设定对模型估计精度有重大影响.文章根据效应特征先对面板数据模型的类型进行合理划分,再按照从一般到特殊的原则讨论了固定效应模型和随机效应模型的类型识别检验过程.以及利用操作简便的面板工作文件介绍了检验过程的EViews实现.     

面板数据模型设定的一般方法

在经典计量经济学模型中,作为样本观测值的要么是截面数据,要么是时间序列数据。随着计量经济学理论方法的发展和应用领域的拓展,经常需要同时分析截面数据与时间序列数据,面板数据模型正是针对这种需要应运而生的,所谓面板数据指的就是截面数据和时间序列数据的综合。面板数据模型已成为仅次于经典单方程模型和时间序列模型被广泛使用的模型。在实际分析中,要建立较好面板数据模型,最为关键的一步是模型的设定。若模型设定有误,则其后的估计必定存在较大的偏差,导致模型建立失败,或者得出错误的结论。本文拟详细介绍面板数据模型设定的一般过程,以期对应用型读者提供若干启示。     

面板数据模型中随机效应存在性检验的理论研究及其实证分析

 由于能体现异质性等一系列优良性质,面板数据模型正被广泛应用到经济学各个领域中。然而,在反映异质性的个体效应和时间效应的设定上,经常存在人为的主观性和随意性,因此容易导致错误指定事件的发生。本文提出了一个稳健的方法分别检验面板数据模型中随机个体效应和随机时间效应的存在性。具体而言,通过对残差进行正交化变换消去可能存在的时间效应,并建立人工自回归模型,然后基于该模型自回归系数的最小二乘估计构造检验统计量检验个体效应。构造的检验是单边的,零假设下渐近服从标准正态分布。在检验时间效应时,可类似得到统计量及其渐近性质。功效研究表明这些检验敏感性较强,能检测到以参数速度（最快的速度）收敛到零假设的备择假设。通过模拟试验研究了检验统计量的小样本性质,并进行了实际数据分析。     

混合Logit回归在感性设计中的应用

为了构建从设计元素到顾客感性的映射知识,引入混合Logit回归的方法到感性设计领域.在处理无序响应变量时,在较好地设置参数分布形式的前提下,相对于常规Logit和常规Probit模型,混合Logit模型具有一定的优越性.在实例部分,利用手机产品感性设计的调查数据,分别建立了常规Logit、常规Probit和混合Logit模型.结果表明,对于所收集的数据,混合Logit模型在拟合优度、灵活性方面最优.     

区域经济增长与能源消费关系的实证检验——基于中国八大经济区域的面板数据

文章将面板数据模型应用到我国八人经济区域经济增长与能源消费关系的研究中,利用面板单位根检验、面板协整检验对两经济变量的长期均衡关系进行经验检验,并在面板数据模型的类型、识别和估计问题拘分析基础上建立了八人经济区域经济增长与能源消费的变系数模型,得出不同地区能源消费特特对经济增长速度的’长期影响程度不同,从实汇角度说朋了在应用面板单位根检验与面板协整检验过程中应注意的几点问题。     

Logit模型在个体选择行为中的研究演进

本文从效用最大化的观点出发,给出了Logit模型的推导.然后基于Logit模型设定中过于严格的假设,陈述了Logit模型的主要局限,即Logit模型能够处理行为主体的系统偏好差异而不能够分析随机偏好差异,选择概率关于无关替代物的独立性以及随机效用的跨期误差项不具有相关性,以及为了克服这些局限和反映复杂选择行为的Logit模型的推广形式.     

面板数据模型的截面相关检验研究

 相关系数的绝对值形式可以很好的避免Pesaran（2004）的CD统计量中异向相关性相互抵消的情况,相应得到一个新的检验面板数据模型扰动项截面相关的统计量。蒙特卡洛模拟显示,无论是在因子模型下还是在空间移动平均模型下,新提出的统计量水平扭曲(size distortion)检验和功效(power)检验表现较好。通过模拟还发现当存在序列相关的扰动项时,先将扰动项进行去序列相关处理可以有效地避免序列相关导致的水平扭曲,并且不会降低统计量的功效。     

双效应面板ELES模型的构建与实证研究

本文在拓展ELES模型传统假设的基础上,将ELES模型推广到面板数据模型。构建同时包含时间效应和个体效应的双效应面板ELES模型,提出实证研究中模型形式的识别检验流程,并利用面板ELES模型实证研究了2002-2012年期间我国城镇居民消费结构的变动特征。     

Fixed Effects and Bias Due to the Incidental Parameters Problem in the Tobit Model

The maximum likelihood estimator (MLE) in nonlinear panel data models with fixed effects is widely understood (with a few exceptions) to be biased and inconsistent when T, the length of the panel, is small and fixed. However, there is surprisingly little theoretical or empirical evidence on the behavior of the estimator on which to base this conclusion. The received studies have focused almost exclusively on coefficient estimation in two binary choice models, the probit and logit models. In this note, we use Monte Carlo methods to examine the behavior of the MLE of the fixed effects tobit model. We find that the estimator's behavior is quite unlike that of the estimators of the binary choice models. Among our findings are that the location coefficients in the tobit model, unlike those in the probit and logit models, are unaffected by the “incidental parameters problem.” But, a surprising result related to the disturbance variance emerges instead - the finite sample bias appears here rather than in the slopes. This has implications for estimation of marginal effects and asymptotic standard errors, which are also examined in this paper. The effects are also examined for the probit and truncated regression models, extending the range of received results in the first of these beyond the widely cited biases in the coefficient estimators.     

Specification tests in ordered logit and probit models

In this paper, I study the application of various specification tests to ordered logit and probit models with heteroskedastic errors, with the primary focus on the ordered probit model. The tests are Lagrange multiplier tests, information matrix tests, and chi-squared goodness of fit tests. The alternatives are omitted variables in the regression equation, omitted varaibles in the equation describing the heteroskedasticity, and non-logistic/non-normal errors. The alternative error distributions include a generalized logistic distribution in the ordered logit model and the Pearson family in the ordered.     

Probit and Logit Model Selection

Monte Carlo experiments are conducted to compare the Bayesian and sample theory model selection criteria in choosing the univariate probit and logit models. We use five criteria: the deviance information criterion (DIC), predictive deviance information criterion (PDIC), Akaike information criterion (AIC), weighted, and unweighted sums of squared errors. The first two criteria are Bayesian while the others are sample theory criteria. The results show that if data are balanced none of the model selection criteria considered in this article can distinguish the probit and logit models. If data are unbalanced and the sample size is large the DIC and AIC choose the correct models better than the other criteria. We show that if unbalanced binary data are generated by a leptokurtic distribution the logit model is preferred over the probit model. The probit model is preferred if unbalanced data are generated by a platykurtic distribution. We apply the model selection criteria to the probit and logit models that link the ups and downs of the returns on S&P500 to the crude oil price.     

Estimation and specification testing in female labor participation models: parametric and semiparametric methods

Female labor participation models have been usually studied through probit and logit specifications. Little attention has been paid to verify the assumptions that are used in these sort of models, basically distributional assumptions and homoskedasticity. In this paper we apply semiparametirc methods in order to test the previous hypothesis. We also estimate a Spanish female labor participation model using both parametric and semiparametirc approaches. The parametirc model includes fixed and random coefficients probit specification. The estimation procedures are parametric maximum likelihood for both probit and logit models, and semiparametric quasi maximum likelihood following Klein and Spady (1993). The results depend cricially in the assumed model.     

Heterogeneous skewness in binary choice models: predicting outcomes in the men's NCAA basketball tournament

Several authors have recently explored the estimation of binary choice models based on asymmetric error structures. One such family of skewed models is based on the exponential generalized beta type 2 (EGB2). One model in this family is the skewed logit. Recently, McDonald (1996, 2000) extended the work on the EGB2 family of skewed models to permit heterogeneity in the scale parameter. The aim of this paper is to extend the skewed logit model to allow for heterogeneity in the skewness parameter. By this we mean that, in the model developed, here the skewness parameter is permitted to vary from observation to observation by making it a function of exogenous variables. To demonstrate the usefulness of our model, we examine the issue of the predictive ability of sports seedings. We find that we are able to obtain better probability predictions using the skewed logit model with heterogeneous skewness than can be obtained with logit, probit, or skewed logit.     

A Diagnostic Test for the Multinomial Logit Model

I propose a Lagrange multiplier test for the multinomial logit model against the dogit model (Gaudry and Dagenais 1979) as the alternative hypothesis. In view of the well-known drawback of the restrictive property of independence from irrelevant alternatives implied by the multinomial logit model, a specification test has much to recommend it. Finite sample properties of the test are studied using a Monte Carlo experiment, and the test's power against the nested multinomial logit model and the multinomial probit model is investigated. The test is found to be sensitive to the values of the regression parameters of the linear random utility function.     

The asymptotically efficient version of the information matrix test in binary choice models. A study of size and power

As Newey (1985) and Orme (1988) argue in the context of discrete binary choice models, the test of the information matrix (IM) is sensitive to heteroscedasticity and the incorrect distribution of the error term, with both these problems leading to inconsistency of the estimators obtained. This paper uses simulation experiments to analyse the size and power of the asymptotically efficient version of this test, with the aim of obtaining evidence on its capacity to detect such specification errors, considering different alternatives.     

Microeconometric models and anonymized micro data

Summary The paper first provides a short review of the most common microeconometric models including logit, probit, discrete choice, duration models, models for count data and Tobit-type models. In the second part we consider the situation that the micro data have undergone some anonymization procedure which has become an important issue since otherwise confidentiality would not be guaranteed. We shortly describe the most important approaches for data protection which also can be seen as creating errors of measurement by purpose. We also consider the possibility of correcting the estimation procedure while taking into account the anonymization procedure. We illustrate this for the case of binary data which are anonymized by ‘post-randomization’ and which are used in a probit model. We show the effect of ‘naive’ estimation, i. e. when disregarding the anonymization procedure. We also show that a ‘corrected’ estimate is available which is satisfactory in statistical terms. This is also true if parameters of the anonymization procedure have to be estimated, too. Research in this paper is related to the project “Faktische Anonymisierung wirtschaftsstatistischer Einzeldaten” financed by German Ministry of Research and Technology.     

Almost Consistent Estimation of Panel Probit Models with “Small” Fixed Effects

We propose four different GMM estimators that allow almost consistent estimation of the structural parameters of panel probit models with fixed effects for the case of small Tand large N. The moments used are derived for each period from a first order approximation of the mean of the dependent variable conditional on explanatory variables and on the fixed effect. The estimators differ w.r.t. the choice of instruments and whether they use trimming to reduce the bias or not. In a Monte Carlo study, we compare these estimators with pooled probit and conditional logit estimators for different data generating processes. The results show that the proposed estimators outperform these competitors in several situations.     

Multivariate regression analysis of panel data with binary outcomes applied to unemployment data

Summary  In panel studies binary outcome measures together with time stationary and time varying explanatory variables are collected over time on the same individual. Therefore, a regression analysis for this type of data must allow for the correlation among the outcomes of an individual. The multivariate probit model of Ashford and Sowden (1970) was the first regression model for multivariate binary responses. However, a likelihood analysis of the multivariate probit model with general correlation structure for higher dimensions is intractable due to the maximization over high dimensional integrals thus severely restricting ist applicability so far. Czado (1996) developed a Markov Chain Monte Carlo (MCMC) algorithm to overcome this difficulty. In this paper we present an application of this algorithm to unemployment data from the Panel Study of Income Dynamics involving 11 waves of the panel study. In addition we adapt Bayesian model checking techniques based on the posterior predictive distribution (see for example Gelman et al. (1996)) for the multivariate probit model. These help to identify mean and correlation specification which fit the data well. C. Czado was supported by research grant OGP0089858 of the Natural Sciences and Engineering Research Council of Canada.