Endogenous Social Comparisons and the Internal Organization of Firms

Should workers of a firm be organizationally integrated to realize benefits from benchmarking? Or should they be separated to preclude horizontal social comparisons? This paper highlights a trade‐off that arises if social comparisons in firms are endogenous. We analyze a principal multi‐agent model in which the principal trades off the reduction of agents' risk exposures by use of relative performance evaluation and the thereby induced social comparisons for which agents must be compensated. Contrary to standard theoretical predictions, relative performance evaluation is optimal only if the performance measures are sufficiently correlated relative to the agents' regard for others. Copyright © 2011 John Wiley & Sons, Ltd.     

Multiple Comparisons with the Best: Bayesian Precision Measures of Efficiency Rankings

A large literature measures the allocative and technical efficiency of a set of firms using econometric techniques to estimate stochastic production frontiers or distance functions. Typically, researchers compute only the precision of individual efficiency rankings. Recently, Horrace and Schmidt (Journal of Applied Economics 15, 1–26, 2000) have applied sampling theoretic statistical techniques known as multiple comparisons with a control (MCC) and multiple comparisons with the best (MCB) to make statistical comparisons of efficiency rankings. As an alternative, this paper offers a Bayesian multiple comparison procedure that we argue is simpler to implement, gives the researcher increased flexibility over the type of comparison, and provides greater, and more intuitive, information content. For these methods and a parametric bootstrap technique, we carry out multiple comparisons of technical efficiency rankings for a set of U.S. electric generating firms, estimated using a distance function framework. We find that the Bayesian method provides substantially more precise inferences than obtained using the MCB and MCC methods.Jel Classification: C11, C32, D24.     

A general approach to intertemporal and interspatial productivity comparisons

The purpose of this paper is to introduce a general methodology for analysing the sources of intertemporal or interspatial differences in outputs and costs, general in the sense that our methodology allows the productivity analyst to ‘break out’ of the quadratic ‘straightjacket’ imposed by the class of superlative index number comparisons. Starting fromTaylor's series expansions about the two points to be compared, we develop a general growth accounting equation which can be approximated to any desired degree of accuracy, depending on the information available.The theoretical framework is applied to two recent examples of interspatial comparisons which use the Tornqvist superlative index. In the first example, we show that the biases in regional Canadian total manufacturing cost-efficiency comparisons which result from the use of this index are negligible. However, in the second example, it is shown that the Tornqvist index imparts a substantial bias in United States-Japan total domestic economy productivity comparisons. The index consistently overestimates the relative productivitylevel of the U.S. economy and misses the turning point, when the Japanese economy becomes more efficient, by two years.     

Wage Differentials and Workers’ Effort: Experimental Evidence from Uganda

We organize a real-effort field experiment with varying piece rates to assess the impact of wages and social comparisons on productivity. In addition to analyzing how piece rates and social comparisons affect productivity during the ‘paid stage’ of the experiment, we also consider how they affect effort supply during a voluntary and unpaid follow-up task. Our main results are that effort supply is relatively unresponsive to variation in own earnings, but responds strongly to pay inequality. While we obtain weak support for the hypothesis that positive social comparisons invite extra effort during paid stages of the experiment, our most important finding is that social comparisons matter for voluntary tasks when shirking is cheap. Specifically, positive social comparisons positively affect productivity during unpaid tasks, and negative comparisons have the opposite impact.     

Typology formation across socio-economic indicators

Some decisions in planning and policy formation require the comparison of one region or country with another. If the entities being compared are known and have been demonstrated to be either similar or different, then valid comparisons can be made. Unfortunately, many comparisons are made on an ad hoc and often improper basis. The paper describes a method of typology formation which requires the modification and the use of the Euclidean distance measure calculated between countries over a series of social indicators. The potential usefulness of the method is demonstrated by reference to an example using indicators of educational system provision.     

A probability inequality for ranges and its application to maximum range test procedures

Summary It is proved that for any fixed argument the sequence (P _k) of the distribution functions of the ranges ofk i.i.d. univariate random variables is log-concave if the random variables have a log-concave density. If the support of the distribution is an infinite interval and the density is monotonous then the theorem holds also with “log-convex” instead of “log-concave”. The resulting inequalities can be used by a quick algorithm for closed maximum range test procedures for all pairwise comparisons (Royen 1988, 1989a, 1989b). Under the above assumptions the application of this algorithm can be extended e.g. to pairwise comparisons of variances.     

Managing predecessors' shadows in executive transitions

New leaders inevitably face comparisons with predecessors. After a short time these comparisons usually give way to judgments about the leader's performance. Occasionally, however, the presence of the predecessor continues to be felt long after the new leader has taken charge. The metaphor of a “shadow” cast by a predecessor is used to describe the process whereby memories of a former leader play a dominant role in shaping current behavior in the organization. A case is analyzed in which a burdensome shadow impeded a new leader's efforts to take charge of a state agency. Counterprojective group techniques helped the new leader and his staff lift the shadow and form a more productive working relationship. © 1995 by John Wiley & Sons, Inc.     

Finding Sensitivity to Scope in Nonmarket Valuation

Data limitations frequently prevent using actual consumer behavior in determining natural resource values, so stated preference methods are used. Whether value estimates show sensitivity to the scope of resource valued is a key test for their validity, which several studies fail. Developing a correlated panel mixed logit model of households' water quality valuations in California, we show that false negatives in scope tests can result when individual preference variation and correlation are ignored and split‐sample comparisons are used. Monte Carlo simulations further demonstrate potentially prevalent false rejections of scope sensitivity even when within‐subject comparisons of willingness to pay portray strong scope sensitivity. Copyright © 2013 John Wiley & Sons, Ltd.     

On deriving priority vectors from matrices of pairwise comparisons

Amongst the mathematical questions related to the AHP's theory the one of how to derive priority vectors from matrices of pairwise comparisons has found an especially large interest. Following a general discussion of scales for priorities and their evaluation by pairwise comparisons several concrete proposals are reviewed. An axiomatic approach is shown for deciding which method is the “best” one. Invariance principles are motivated and formulated as axioms. The only method which fulfills all these axioms uses the geometric row means. It is often called Logarithmic Least Squares Method (LLSM). However, only one axiom would have to be replaced in order to get the widely used Right Eigenvector Method.     

DEA, DFA and SFA: A comparison

The nonparametric data envelopment analysis (DEA) model has become increasingly popular in the analysis of productive efficiency, and the number of empirical applications is now very large. Recent theoretical and mathematical research has also contributed to a deeper understanding of the seemingly simple but inherently complex DEA model. Less effort has, however, been directed toward comparisons between DEA and other competing efficiency analysis models. This paper undertakes a comparison of the DEA, the deterministic parametric (DFA), and the stochastic frontier (SFA) models. Efficiency comparisons across models in the above categories are done based on 15 Colombian cement plants observed during 1968–1988.     

A vertex-exchange-method in D-optimal design theory

Summary A vertex-exchange-method for findingD-optimal experimental designs is presented. Formulae for the optimal step-length and for the inversion of the information matrix are provided. Convergence of the procedure is established, and the convergence behavior investigated through example including comparisons to other known iteration procedures.     

Picking the Measuring Stick: The Role of Leaders in Social Comparisons

Organizational members frequently evaluate how their abilities and standing compare with those of their colleagues. Although these comparisons can have a negative impact on organizations, little attention has been paid to the role of leaders in these processes. Drawing on interviews with individuals in leadership positions in business schools, we develop a framework to explain what triggers leaders’ attention to social comparisons among faculty and how they become involved in them. Central to this framework are leaders’ self‐schemas, which encompass their preferences about the criteria members should use in making comparisons. Leaders’ self‐schemas are activated by discrepancies between their own comparative judgements and those they perceive members to be making and impel them to act in ways consistent with their preferred bases of comparison. Our framework repositions social comparisons as a multi‐perspectival, political phenomenon in which leaders see themselves as playing a role in shaping members’ evaluations and workplace interactions.     

HMOs and other health plans: coverage and employee premiums.

Ten years after the passage of the HMO Act, health maintenance organizations represent a small proportion of employee health plans; benefits are more comprehensive and worker premiums higher than for traditional insurance, but other variables make comparisons difficult.     

Acknowledgement

This paper examines the conditions under which it is possible to make comparisons between restricted least squares estimators under a generalized mean square error criterion. Our results demonstrate the rather extreme limitations on such comparisons — in many cases it is not possible to compare two restricted least squares estimators using the generalized mean square error criterion.     

Small‐scale Inference: Empirical Bayes and Confidence Methods for as Few as a Single Comparison

Empirical Bayes methods of estimating the local false discovery rate (LFDR) by maximum likelihood estimation (MLE), originally developed for large numbers of comparisons, are applied to a single comparison. Specifically, when assuming a lower bound on the mixing proportion of true null hypotheses, the LFDR MLE can yield reliable hypothesis tests and confidence intervals given as few as one comparison. Simulations indicate that constrained LFDR MLEs perform markedly better than conventional methods, both in testing and in confidence intervals, for high values of the mixing proportion, but not for low values. (A decision‐theoretic interpretation of the confidence distribution made those comparisons possible.) In conclusion, the constrained LFDR estimators and the resulting effect‐size interval estimates are not only effective multiple comparison procedures but also they might replace p‐values and confidence intervals more generally. The new methodology is illustrated with the analysis of proteomics data.     

A review of integrated QCA and statistical analyses

Systematically combining quantitative and qualitative research approaches offers the potential for a more comprehensive and nuanced understanding of social scientific phenomena. With their strong opportunities for building, qualifying, and testing social scientific theories, methodological integrations thus enable researchers to make substantive contributions that would not have been possible with one method alone. In this article we demonstrate how the integration of Qualitative Comparative Analysis (QCA) and conventional statistical analysis offers researchers new opportunities for contributing to the social sciences. Whereas statistical analysis is variable-oriented and relies on correlational analysis to make comparisons across cases, QCA is based on set theory, is case oriented, and relies on Boolean algebra to make comparisons between cases. Drawing on the literature on the interdependency between theoretical contribution and methodology, we review studies that integrate QCA and statistical analysis to explain how the specific combination of these two approaches allows researchers to strengthen the theoretical contribution of their research. From our review we identify common challenges and provide solutions for integrating QCA and statistical analysis.     

Incentives to move up: Effects of pay gaps between levels on employee performance

Employees of a certain rank are motivated by the pay gap between them and the levels above (upward comparison), and the pay gap between them and the levels below (downward comparison). In some cases, employees face multiple upward comparisons such as immediate and subsequent upward comparisons. We hypothesise that upward comparison matters more than downward comparison, and in the case of multiple upward comparisons, the immediate one matters more than the subsequent ones. We also hypothesise that the pay gap effect resulting from the upward/downward comparison ought to be non‐linear in that performance increases with pay gap size at a decreasing rate. The results from two empirical studies, namely, a longitudinal field study and a laboratory experiment, largely support our hypotheses.     

Income comparison,collectivism and life satisfaction in Turkey

The current research examines the impact of income comparisons on life satisfaction in Turkey which has a feature of “collectivism” or “low individualism”. This is done by analyzing the results of the “Life Satisfaction Survey” applied by the Turkish Statistical Institute (TUIK) for 2011. Using ordered logit estimations, this paper reveals that most of the income comparison, interaction variables and socio-economic variables have a significant explanatory power on life satisfaction levels in Turkey. The main emphasis of the paper is that reference group’s self-reported life satisfaction is related to income comparisons, along with other socioeconomic factors. The impact of comparisons is asymmetric, in that in most cases, under-performing one’s benchmark had a greater effect than out-performing it.     

Interaction effects in cross-national studies

One may analyse interaction effects either by adding a multiplicative term to an ordinary regression equation or by group comparisons. The effects of human capital formation and government revenues on economic growth in LDCs serve as an example. The proposition under discussion claims that high government revenues (as a share of GDP) cancel the otherwise positive effects of human capital formation on economic growth. This proposition cannot be supported in regression analyses with an interaction term, although it receives rather strong support from comparisons of linear-additive regressions of growth of rates on human capital formation separately done for high and low revenue countries. This result leads to the question which technique and thereby which finding should be adopted. Since regression analyses with interaction terms investigate, whether an interaction of a restricted, symmetrical type applies, group comparisons should often be preferred.     

Testing with many weak instruments

This paper establishes the asymptotic distributions of the likelihood ratio (LR), Anderson–Rubin (AR), and Lagrange multiplier (LM) test statistics under “many weak IV asymptotics.” These asymptotics are relevant when the number of IVs is large and the coefficients on the IVs are relatively small. The asymptotic results hold under the null and under suitable alternatives. Hence, power comparisons can be made.