Permuting incomplete paired data: a novel exact and asymptotic correct randomization test

Various statistical tests have been developed for testing the equality of means in matched pairs with missing values. However, most existing methods are commonly based on certain distributional assumptions such as normality, 0-symmetry or homoscedasticity of the data. The aim of this paper is to develop a statistical test that is robust against deviations from such assumptions and also leads to valid inference in case of heteroscedasticity or skewed distributions. This is achieved by applying a clever randomization approach to handle missing data. The resulting test procedure is not only shown to be asymptotically correct but is also finitely exact if the distribution of the data is invariant with respect to the considered randomization group. Its small sample performance is further studied in an extensive simulation study and compared to existing methods. Finally, an illustrative data example is analysed.     

Differences and similarities in monetary benefits for informal care in old and new EU member states

This article presents an overview of the monetary benefits available in the context of long‐term care provided by family or other informal carers in 11 old and 10 new EU member states. All but one country in our sample offer at least some monetary benefits that can be used to help finance informal care. Old EU member states tend to direct benefits to individuals in need of care, whereas new EU member states place more emphasis on benefits for carers. Among new EU member states, monetary benefits are less often means‐tested and tend to be lower compared with benefits in old EU member states. Because social policies in many countries increasingly rely on monetary benefits rather than on benefits in kind and because the share of informal care in the overall provision of elderly care will scarcely decline, monetary benefit incentives for labour market participation need to be carefully monitored.     

In Vino Pecunia? The Association Between Beverage-Specific Drinking Behavior and Wages

The positive association between moderate alcohol consumption and wages is well documented in the economic literature. Positive health effects as well as networking mechanisms serve as explanations for the “alcohol–income puzzle.” Using individual-based microdata from the SOEP for 2006, we confirm that this relationship exists for Germany as well. More importantly, we shed light on the alcohol–income puzzle by analyzing, for the first time, the association between beverage-specific drinking behavior and wages. In our analysis, we disentangle the general wage effect of drinking into diverse effects for different types of drinkers. Mincerian estimates reveal significant and positive relationships between wine drinkers and wages as well as between multiple beverage drinkers and wages. When splitting the sample into age groups, the “drinking gain” disappears for employees under the age of 35 and increases in size and significance for higher age groups. We also find a “beer gain” for the oldest age group and male residents of rural areas as well as a “cocktail gain” for residents of urban areas. Several explanations for our empirical results are discussed in view of the likelihood that the alcohol–income puzzle is a multicausal phenomenon.

Typen religiöser Sozialformen und ihre Bedeutung für die Analyse religiösen Wandels in Deutschland

The article examines different forms of institutionalization of religion in Germany since the 1950s. Going beyond the classical church-sect dichotomy, we discuss in a theoretical part communities, organizations, market relations, movements and events as possible candidates for the structuring of religious communication. In an empirical part, we outline recent changes of social forms in Germany. By addressing divergent trajectories in the major German churches, smaller Christian denominations, immigrant religions and the evolving spectrum of new religiosity, we show that a general trend is not observable. The developments do not prove the often claimed ‘end of religious communities’. It rather seems that modernity produces a variety of religious social forms that seem to balance the tension between communalization (Vergemeinschaftung) and socialization (Vergesellschaftung).     

Optimal stock option schemes for managers

This paper analyzes which stock option scheme best aligns the interests of a firm’s manager and shareholders when both are risk-averse. We consider granting to the manager a basic fixed salary and one of the following four options: European, Parisian, Asian and American options. Choosing the strike of the options optimally, the shareholders can mostly implement a first best solution with all payoff schemes. The American option scheme best aligns the interests of the manager and the shareholders in the most common case in which the strike price equals the grant-date fair market value.     

Determinants of sexual arousal and accuracy of its self-estimation in sexually functional males

Men with and without sexual dysfunction present with varying patterns of agreement between subjective estimates of sexual arousal and more objective psychophysiological measures of the same construct. This relative accuracy seems to be associated with sexual function, with men who have sexual dysfunction presenting less accurate estimations (mostly reporting below measured arousal levels). The purpose of this study is to clarify the processes underlying sexual arousal and the accuracy of its self-estimation. We looked at potential predictors of sexual arousal (subjective and physiological) and accuracy in estimating objective sexual arousal in a sample of 60 sexually functional males. Predictors included pre-existing sexual attitudes (erotophobia), both trait and state positive and negative affect, self-focused attention, and interoceptive awareness. Results indicate that this sexually functional sample generally reported below their own erection level. Interestingly, trait negative affect was associated with somewhat lower levels of subjective arousal and higher levels of physiological arousal. On the other hand, state positive affect facilitated both subjective and objective arousal and increased somewhat the accuracy of estimates of erectile responding. Pre-existing sexual attitudes as well as variations in self-focused attention and interoceptive awareness evidenced little effect on sexual arousal or the accuracy of its estimation.     

Global and multiple test procedures using ordered p-values—a review

This paper reviews global and multiple tests for the combination ofn hypotheses using the orderedp-values of then individual tests. In 1987, Röhmel and Streitberg presented a general method to construct global level α tests based on orderedp-values when there exists no prior knowledge regarding the joint distribution of the corresponding test statistics. In the case of independent test statistics, construction of global tests is available by means of recursive formulae presented by Bicher (1989), Kornatz (1994) and Finner and Roters (1994). Multiple test procedures can be developed by applying the closed test principle using these global tests as building blocks. Liu (1996) proposed representing closed tests by means of “critical matrices” which contain the critical values of the global tests. Within the framework of these theoretical concepts, well-known global tests and multiple test procedures are classified and the relationships between the different tests are characterised.     

Science,measurement, and validity: Is completion of Samuel Messick's synthesis possible?

Messick's (1989) theory of test validity is profoundly influential (Hubley and Zumbo, 1996; Angoff, 1988) in part because it brings together disparate contributions into a unified framework for building validity arguments. At the heart of Messick's theory lies a synthesis of realism and constructivism with respect to both scientific facts and measurement. Within this synthesis there remains a tension between the evidential basis and the consequential basis for test interpretation and use. This cannot be sidestepped simply by limiting the evidential basis to test interpretation and the consequential basis to test use: Interpretation and use are not so easily held separate. The roles of constructivism and context in Messick's theory underline the inherent link between facts and values, but the assumption that facts are objective and values are subjective goes unquestioned in Messick's theory. The inherent link between facts and values combines with this assumption to produce the unresolved tension in Messick's theory. This suggests that a unified theory of test validity requires a theory of value justification.