Testing Stationarity in Small‐ and Medium‐Sized Samples when Disturbances are Serially Correlated*

In this article, we study the size distortions of the KPSS test for stationarity when serial correlation is present and samples are small‐ and medium‐sized. It is argued that two distinct sources of the size distortions can be identified. The first source is the finite‐sample distribution of the long‐run variance estimator used in the KPSS test, while the second source of the size distortions is the serial correlation not captured by the long‐run variance estimator because of a too narrow choice of truncation lag parameter. When the relative importance of the two sources is studied, it is found that the size of the KPSS test can be reasonably well controlled if the finite‐sample distribution of the KPSS test statistic, conditional on the time‐series dimension and the truncation lag parameter, is used. Hence, finite‐sample critical values, which can be applied to reduce the size distortions of the KPSS test, are supplied. When the power of the test is studied, it is found that the price paid for the increased size control is a lower raw power against a non‐stationary alternative hypothesis.     

政府规模、政府支出增长与经济增长关系的非线性研究

本文运用面板平滑转换回归模型(PSTR),在非线性的框架下对政府规模与经济增长关系的渐进演变展开深入研究,并对可能引发两者关系结构性转变的警戒政府规模进行有效估算。研究结果表明,政府规模与经济增长之间存在着非线性关系,即随着政府规模的逐步增大,由于税负增加等因素的影响,使得政府支出增加所产生的负效应影响逐步凸显,而政府规模进一步扩大并超过警戒水平时,过度拥挤的政府支出对经济增长将由促进作用转变为阻碍作用。研究还发现,尽管我国政府支出增长与经济增长的关系参数值有所下降,但由于基础设施落后,公共物品与公共服务供给仍然相对不足,政府支出的增加仍有助于促进经济的进一步发展。     

FIRM SIZE AND STOCK RETURNS: A QUANTITATIVE SURVEY

Firm size is commonly used in numerous empirical asset pricing models as a determinant of expected stock returns. Yet there is little consensus over the magnitude and stability of the size premium. In fact, some researchers even question whether firm size should be used as a pricing factor. We collect 1746 estimates of the slope coefficients capturing the association between firm size and stock returns reported in 102 published studies and conduct the first meta‐analysis on the size premium. We find evidence of a strong bias toward publishing statistically significant negative slope coefficients. After correcting for the bias, we find that the literature implies a difference in annual stock returns on the smallest and the largest New York Stock Exchange (NYSE) market capitalization quintiles of 1.72%. For the time periods covered in the sampled articles, we find that the size premium was larger in earlier years and that the intensity of publication bias has been decreasing over time.     

Feasibility of national population growth targets in LDC's

This study employs a simulation model and data on desired family size to evaluate feasibility of national population growth targets. A basic claim is that neglect to consider desired family size in population planning has resulted in spurious target setting by a number of governments. It is proposed that if presently attainable family size is below desired family size in any society i, then low utilization of family planning services can be expected to continue as a function of absence of demand. Policy implications of this claim for allocation of scarce international family planning funds are discussed.     

Governance Role of Auditors and Legal Environment: Evidence from Corporate Disclosure Transparency

In a sample of firms originating from 20 countries, we examine whether and how auditor size (our proxy for audit quality) associates with corporate disclosure transparency. While prior studies examine the relation between auditor size and several aspects of financial reporting quality (e.g. discretionary accruals, restatements, etc.), there is limited evidence on how auditor size relates to disclosure transparency. There is also mixed evidence on how auditor size relates to reporting quality in different legal environments. We find that auditor size is positively associated with disclosure transparency around the world and that the association is stronger in code law regimes than in common law regimes. The latter finding supports the view that audits play a greater governing role in weaker legal environments.     

Historical family structure as a predictor of liberal voting: Evidence from a century of Russian history

Family structure is considered a particularly important predictor of social and political development; historical differences in family size and other family characteristics cast a long shadow over societal development. This paper explores the effect of differences in historical family size on political behavior based on within-country variations in this characteristic in Russia. Unlike most papers on historical legacies, we trace the effect of family size over a century of Russian history with a focus on the first competitive and free elections in Russia—to the Constituent Assembly—held in 1917 and on the presidential elections in post-Soviet Russia in 1996 and 2000. Mean family size is measured based on the census data for 1897. We find a robust and significant association between smaller family size and a voting preference for parties that are economically liberal, which holds despite differences in the political, economic, and social environment between the 1910s and 1990s     

CAUTIONARY NOTES ON THE RANK‐SIZE DISTRIBUTION

In the analysis of center populations at both the national and regional levels considerable use has been made of the rank‐size distribution. Within the extensive literature on this distribution, however, there are a number areas that are unclear, neglected, or misleading. Consideration is initially given to the form of the rank‐size distribution and to the manner in which it is related to other distributions, notably the Pareto and the lognormal. Attention is also focused on the application of the rank‐size distribution to data on center size and on the difficulties that arise in this connection, including the problem of establishing rank‐size regularity. The discussion concludes by taking issue with the contention that the rank‐size distribution is of relevance in the design and formulation of urban policy.     

An expected rank-size rule: A theoretical relationship between the rank size rule and city size distributions

This paper investigates a theoretical relationship between the rank-size rule and city size distributions. First, a method of relating a certain city size distribution to ranked city size is formulated by employing order statistics. Second, it is shown that there do not exist city size distributions which satisfy the rank-size rule. Third, an alternative rank-size rule is proposed as $\text{E(P}{}_{\mathrm{r}}\text{)?(r)}\text{?(r?y)}\text{=c}$, which is equivalent to the Pareto city size distribution. Last, an alternative statistical test for the rank-size rule is proposed to overcome a shortcoming of the conventional test. Along this line, the Hokkaido region data is analyzed.     

R＆D与企业规模关系模型再研究

关于R＆D活动与企业规模的关系之前已做过不少的研究。本文从新的视角重新检验两者之间的关系，通过一个非线性函数研究R＆D与企业规模的关系。企业规模变量不是作为一个独立的解释变量，而是作为调节变量。2001-2008年沪深两市上市的制造业公司数据为研究面板数据。研究结果表明，R＆D与企业规模呈现一个近似“U型”关系。     

Group size and collective action in a binary contribution game

We consider how group size affects the private provision of a public good with non-refundable binary contributions. A fixed amount of the good is provided if and only if the number of contributors reaches an exogenous threshold. The threshold, the group size, and the identical, non-refundable cost of contributing to the public good are common knowledge. Our focus is on the case in which the threshold is larger than one, so that teamwork is required to produce the public good. We show that both expected payoffs and the probability that the public good is obtained in the best symmetric equilibrium are decreasing in group size. We also characterize the limit outcome when group size converges to infinity and provide precise conditions under which the expected number of contributors is decreasing or increasing in group size for sufficiently large groups.     

Size of organisation,attitudes to work and job satisfaction

It is widely believed that large size creates problems for industrial relations and, conversely, that small size is beneficial. There has been little research relating size and workers' attitudes—this article reports the findings from a study in 24 factories in British manufacturing industry.     

城市规模与居民幸福感的关系

利用2002年中国家庭收入调查数据,实证检验了城市规模与居民主观幸福度的关系。结果显示,二者存在显著的倒U形关系,随着城市规模的扩大,居民主观幸福感先增加,当城市规模达到一定程度,居民主观幸福感将降低。     

Firm Organization and the Structure of Retail Markets

This paper analyzes the structure of retail markets by highlighting the differential pattern exhibited across local markets by two different types of firm organization: chain stores versus stand-alone stores. Data from retail alcoholic beverage industry in California suggest that the number of chain stores is proportional to city size. Further evidence on the sales of establishments indicates that average size of a stand-alone store virtually is invariant to city size, whereas chain stores appear to get larger as city size increases. Theories consistent with these findings are discussed .     

The combined inverse binomial sampling procedure

In the Combined Inverse Binomial Procedure (CIB), independent Bernoulli trials are performed one after another until for the first time either a fixed number of successes or a fixed number of failures are obtained. The sample size is the minimum of a pair of negative binomial variables. The distribution of the sample size and its expectation as well as the problems of estimation and testing of hypotheses in CIB are dealt with. It is seen that tests based on CIB procedures can lead to savings in sample size as compared to fixed sample size procedures in certain situations. It is also briefly indicated how the theory can be extended to the case of combined inverse multinomial procedures.     

Do optimal scale and efficiency matter in Taiwan's higher education reform? A stochastic cost frontier approach

A number of universities in Taiwan are currently confronting problems of low enrolment rates and financial distress mainly as a result of low birth rates and over-expansion of the higher education industry over the last few decades. These universities were requested by the Taiwan Ministry of Education to find a solution, including shutting down problematic departments and merging with other institutions. As such, information on cost efficiency and the optimal size of universities is important for making appropriate decisions. A stochastic cost frontier approach is adopted in the study to measure the cost efficiency and identify optimal size of Taiwanese universities by considering the heterogeneity of university quality. The results of the study indicate a positive correlation between the optimal size and the university quality. Approximately 47 percent of the selected universities are identified as either over- or under-sized. Moreover, the magnitude of cost saving from efficiency improvement is found to be no smaller than that of size adjustment. Therefore, it is suggested that universities should put more effort into efficiency improvement while considering size adjustment.     

Do business strategies vary across firms in the banking industry? New perspectives from the bank size–profitability nexus

This study examines the roles of interdependence and policy variations across firms in the causality between bank size and profitability in Nigeria, using second-generation estimators and the Dumitrescu–Hurlin panel Granger non-causality test. The findings support different business strategies and policy variances across banks. Causality is found non-existent in the cases of 11 banks. A unidirectional causality from size to profitability is established in two banks while evidence of a unidirectional causality is established from profitability to bank size in the other two banks. This study concludes that cross-sectional dependence and policy variations across firms matter in the bank size–profitability nexus.     

New Evidence on Class Size Effects: A Pupil Fixed Effects Approach*

The impact of class size on student achievement remains a thorny question for educational decision makers. Meta‐analyses of empirical studies emphasize the absence of class‐size effects but detractors have argued against such pessimistic conclusions because many of the underlying studies have not paid attention to the endogeneity of class size. This article uses a stringent method to address the endogeneity problem using Trends in International Mathematics and Science Study data on 47 countries. We measure the class size effect by relating the difference in a student's achievement across subjects to the difference in his/her class size across subjects. This (subject‐differenced) within‐pupil achievement production function avoids the problem of the non‐random matching of children to specific schools, and to classes within schools. The results show a statistically significant negative effect of class size in 14 countries, but the effect size is small in most cases. Several robustness tests are carried out, including control for students’ subject‐specific ability and subject‐specific teacher characteristics, and correction for possible measurement error. Thus, our approach to addressing the endogeneity problem confirms the findings of meta‐analyses that find little support for class size effects. Additionally, we find that class size effects are smaller in countries with higher teacher quality.     

Household Expenditure Patterns for Housing Attributes: A Linear Expenditure System with Hedonic Prices

The main objective of this research is to demonstrate a new approach to how income and own-price elasticities for housing attributes can be estimated. The methodology used is a combination of the hedonic technique and a complete system of household expenditures, which relies on an additive utility function. However, here we allow the utility parameters to vary with family size. The empirical results of a case study show that family size plays a significant role when estimating the elasticities. Furthermore, the housing attributes of living area and absence of traffic noise are more income elastic than those of lot size and indoor quality. All the income elasticities are positively correlated with income and family size but negatively with down payment.     

上海股票市场规模效应的实证研究

规模效应是指公司规模与收益率之间存在的反向关系,即小规模公司较大公司而言有着更高的收益率。本文从上海证券市场随机抽取60只股票作为数据样本,对其从2007年1月到2009年6月之间的公司数据进行实证研究,得出上海股市存在着规模效应这一结论。     

Size, technology, complexity, and structural differentiation: toward a theoretical synthesis.

This paper proposes a theoretical synthesis of the concepts of organizational size, technology, complexity, and structural differentiation. It suggests and finds that the most important determinant of differentiation in the division of labor is the scope of an organization's task, a technological dimension, and not organizational size. Neither horizontal nor vertical differentiation is thought to be determined by size while the scope of the task is proposed as a determinant of horizontal differentiation. The findings, however, support only the inference of a moderate causal connection between either size or task scope and either form of differentiation. Throughout the analysis and discussion the contrast between causal inference based on associations of levels and change rates is discussed. When dealing with the organizational processes addressed in this paper, both associations must be examined to adequately portray the complexity of the causal processes inferred.