Numerical solutions of elliptic inverse problems via the equation error method

To estimate a parameter in an elliptic boundary value problem, the method of equation error chooses the value that minimizes the error in the PDE and boundary condition (the solution of the BVP having been replaced by a measurement). The estimated parameter converges to the exact value as the measured data converge to the exact value, provided Tikhonov regularization is used to control the instability inherent in the problem. The error in the estimated solution can be bounded in an appropriate quotient norm; estimates can be derived for both the underlying (infinite-dimensional) problem and a finite-element discretization that can be implemented in a practical algorithm. Numerical experiments demonstrate the efficacy and limitations of the method.

Disagreements in meta-analyses using outcomes measured on continuous or rating scales: observer agreement study

OBJECTIVE: To study the inter-observer variation related to extraction of continuous and numerical rating scale data from trial reports for use in meta-analyses. DESIGN: Observer agreement study. DATA SOURCES: A random sample of 10 Cochrane reviews that presented a result as a standardised mean difference (SMD), the protocols for the reviews and the trial reports (n=45) were retrieved. DATA EXTRACTION: Five experienced methodologists and five PhD students independently extracted data from the trial reports for calculation of the first SMD result in each review. The observers did not have access to the reviews but to the protocols, where the relevant outcome was highlighted. The agreement was analysed at both trial and meta-analysis level, pairing the observers in all possible ways (45 pairs, yielding 2025 pairs of trials and 450 pairs of meta-analyses). Agreement was defined as SMDs that differed less than 0.1 in their point estimates or confidence intervals. RESULTS: The agreement was 53% at trial level and 31% at meta-analysis level. Including all pairs, the median disagreement was SMD=0.22 (interquartile range 0.07-0.61). The experts agreed somewhat more than the PhD students at trial level (61% v 46%), but not at meta-analysis level. Important reasons for disagreement were differences in selection of time points, scales, control groups, and type of calculations; whether to include a trial in the meta-analysis; and data extraction errors made by the observers. In 14 out of the 100 SMDs calculated at the meta-analysis level, individual observers reached different conclusions than the originally published review. CONCLUSIONS: Disagreements were common and often larger than the effect of commonly used treatments. Meta-analyses using SMDs are prone to observer variation and should be interpreted with caution. The reliability of meta-analyses might be improved by having more detailed review protocols, more than one observer, and statistical expertise.

Earnings Management and Measurement Error

In this paper I consider the impact of a noisy indicator regarding a manager’s manipulative behavior on optimal effort incentives and the extent of earnings management. The analysis in this paper extends a twotask, single performance measure LEN model by including a binary random variable. I show that contracting on the noisy indicator variable is not always useful. More specifically, the principal uses the indicator variable to prevent earnings management only under conditions where manipulative behavior is not excessive. Thus, under conditions of excessive earnings management, accounting adjustments that yield a more congruent overall performance measure can be more effective than an appraisal of the existence of earnings management to mitigate the earnings management problem.

A Primer on ACTA What Europeans Should Fear about the Anti-Counterfeiting Trade Agreement

The European Commission recently published the first official draft of the Anti-Counterfeiting Trade Agreement (ACTA). The article describes the institutional background of the negotiations on ACTA and its relationship to the existing legal framework. The civil enforcement provisions and the Internet chapter are compared with the international and European instruments in the field. For the most part, ACTA will not oblige EU member states to enact rules that go beyond the already established European standards. But stricter rules could be implemented regarding injunctions against non-infringing intermediaries, strict liability rules for damages, and ex parte measures in preliminary proceedings. According to the published draft, the termination of user accounts in the case of repeated intellectual property infringement will not be mandatory for member ACTA states.

EU Commission: Comments on the “Opinion of European Academics on Anti-Counterfeiting Trade Agreement”

The “Opinion of European Academics on Anti-Counterfeiting Trade Agreement” (ACTA) of February 11, 2011, was published in 2 JIPITEC 65 (2011). Signed by more than 25 law professors and academics from across Europe who specialize in the field, this opinion addressed the following concern: Although it is uncontested that the infringement of intellectual property rights, especially in the Internet, prejudices the legitimate interests of right holders, it is still very controversial in Europe and abroad whether the enforcement standards of ACTA are balanced. The European Commission, DG Trade, has now published a document with detailed comments on the Opinion. The comments, which are also available on the website of the European Commission [http://trade.ec.europa.eu/doclib/ html/147853.htm], are republished here with the kind permission of the European Commission.

Implementation status of error disclosure standards reported by Swiss hospitals

QUESTION UNDER STUDY To establish at what stage Swiss hospitals are in implementing an internal standard concerning communication with patients and families after an error that resulted in harm. METHODS Hospitals were identified via the Swiss Hospital Association's website. An anonymous questionnaire was sent during September and October 2011 to 379 hospitals in German, French or Italian. Hospitals were asked to specify their hospital type and the implementation status of an internal hospital standard that decrees that patients or their relatives are to be promptly informed about medical errors that result in harm. RESULTS Responses from a total of 205 hospitals were received, a response rate of 54%. Most responding hospitals (62%) had an error disclosure standard or planned to implement one within 12 months. The majority of responding university and acute care (75%) hospitals had introduced a disclosure standard or were planning to do so. In contrast, the majority of responding psychiatric, rehabilitation and specialty (53%) clinics had not introduced a standard. CONCLUSION It appears that Swiss hospitals are in a promising state in providing institutional support for practitioners disclosing medical errors to patients. This has been shown internationally to be one important factor in encouraging the disclosure of medical errors. However, many hospitals, in particular psychiatric, rehabilitation and specialty clinics, have not implemented an error disclosure policy. Further research is needed to explore the underlying reasons.

Accounting for baseline differences and measurement error in the analysis of change over time

If change over time is compared in several groups, it is important to take into account baseline values so that the comparison is carried out under the same preconditions. As the observed baseline measurements are distorted by measurement error, it may not be sufficient to include them as covariate. By fitting a longitudinal mixed-effects model to all data including the baseline observations and subsequently calculating the expected change conditional on the underlying baseline value, a solution to this problem has been provided recently so that groups with the same baseline characteristics can be compared. In this article, we present an extended approach where a broader set of models can be used. Specifically, it is possible to include any desired set of interactions between the time variable and the other covariates, and also, time-dependent covariates can be included. Additionally, we extend the method to adjust for baseline measurement error of other time-varying covariates. We apply the methodology to data from the Swiss HIV Cohort Study to address the question if a joint infection with HIV-1 and hepatitis C virus leads to a slower increase of CD4 lymphocyte counts over time after the start of antiretroviral therapy.

Biactantial agreement in the Gongduk transitive verb in the broader Tibeto-Burman context

The Gongduk language is spoken in an enclave in south central Bhutan comprising several villages and hamlets in the mountains west of the Kurichu. The language occupies a distinct phylogenetic position within the Tibeto-Burman language family. The intransitive verb agrees for person and number with the subject, and the transitive shows biactantial agreement for person and number with both agent and patient. A morphological analysis has identified the individual agreement morphemes, their precise grammatical meaning and their patterns of allomorphy. The cognacy of the greater part of the desinences of the Gongduk verb with morphemes identifiable in the biactantial agreement systems of other Tibeto-Burman languages supports the view that at least a portion of such conjugational morphology must be reconstructed to the common ancestral language.