Berry-Esseen bounds for nonlinear statistics, and asymptotic relative efficiency between correlation statistics

Four papers, written in collaboration with the author’s graduate school advisor, are presented. In the first paper, uniform and non-uniform Berry-Esseen (BE) bounds on the convergence to normality of a general class of nonlinear statistics are provided; novel applications to specific statistics, including the non-central Student’s, Pearson’s, and the non-central Hotelling’s, are also stated. In the second paper, a BE bound on the rate of convergence of the F-statistic used in testing hypotheses from a general linear model is given. The third paper considers the asymptotic relative efficiency (ARE) between the Pearson, Spearman, and Kendall correlation statistics; conditions sufficient to ensure that the Spearman and Kendall statistics are equally (asymptotically) efficient are provided, and several models are considered which illustrate the use of such conditions. Lastly, the fourth paper proves that, in the bivariate normal model, the ARE between any of these correlation statistics possesses certain monotonicity properties; quadratic lower and upper bounds on the ARE are stated as direct applications of such monotonicity patterns.

Descriptive Statistics and Linear Regression

This morning Dr. Battle will introduce descriptive statistics and linear regression and how to apply these concepts in mathematical modeling. You will also learn how to use a spreadsheet to help with statistical analysis and to create graphs.

Prevalence of halitosis in the population of the city of Bern, Switzerland: a study comparing self-reported and clinical data

Epidemiological data on halitosis are rare. In this study we evaluated the prevalence of halitosis in the population of the city of Bern, Switzerland, using a standardized questionnaire and clinical examination. First of all, a standardized questionnaire was filled out by all 419 participants. In the clinical examination, 'objective' values for halitosis were gathered through two different organoleptic assessments and by the measurement of volatile sulfur compounds (VSC). Additionally, tongue coating and the modified periodontal screening index (PSI) were evaluated for each participant. The questionnaire revealed that 32% of all subjects sometimes or often experienced halitosis. The organoleptic evaluation (grade 0-5) identified 48 persons with grade 3 and higher. Measurement of VSC identified 117 subjects (28%) with readings of >or= 75 parts per billion (ppb). Tongue coating, modified PSI, and smoking were significantly associated with higher organoleptic scores, and tongue coating and smoking were associated with higher VSC values. For about one-third of the Bernese city population, halitosis seems to pose an oral health problem. Only a weak correlation between self-reported halitosis and either organoleptic or VSC measurements could be detected.

Prevalence of halitosis in young male adults: a study in swiss army recruits comparing self-reported and clinical data

BACKGROUND: Sound epidemiologic data on halitosis are rare. We evaluated the prevalence of halitosis in a young male adult population in Switzerland using a standardized questionnaire and clinical examination. METHODS: Six hundred twenty-six Swiss Army recruits aged 18 to 25 years (mean: 20.3 years) were selected as study subjects. First, a standardized questionnaire focusing on dental hygiene, self-reported halitosis, smoking, and alcohol consumption was filled out by all participants. In the clinical examination, objective values for the presence of halitosis were gathered through an organoleptic assessment of the breath odor and the measurement of volatile sulfur compounds (VSCs). Additionally, tongue coating, plaque index, and probing depths were evaluated for each recruit. RESULTS: The questionnaire revealed that only 17% of all included recruits had never experienced halitosis. The organoleptic evaluation (grades 0 to 3) identified eight persons with grade 3, 148 persons with grade 2, and 424 persons with grade 1 or 0. The calculation of the Pearson correlation coefficient to evaluate the relationship among the three methods of assessing halitosis revealed little to no correlation. The organoleptic score showed high reproducibility (kappa = 0.79). Tongue coating was the only influencing factor found to contribute to higher organoleptic scores and higher VSC values. CONCLUSIONS: Oral malodor seemed to pose an oral health problem for about one-fifth of 20-year-old Swiss males questioned. No correlation between self-reported halitosis and organoleptic or VSC measurements could be detected. Although the organoleptic method described here offers a high reproducibility, the lack of correlation between VSC values and organoleptic scores has to be critically addressed. For further studies assessing new organoleptic scores, a validated index should always be included as a direct control.

Vascular risk factors and morphometric data in cervical artery dissection: a case-control study

BACKGROUND: Limited knowledge exists on vascular risk factors, body height and weight in patients with spontaneous cervical artery dissection (sCAD). PATIENTS AND METHODS: In this case-control study, major vascular risk factors, body weight, body height and body mass index (BMI) of 239 patients obtained from a prospective hospital-based sCAD registry were compared with 516 age- and sex-matched healthy controls undergoing systematic health examinations in the Clinical and Preventive Investigations Center, Paris. Gender-specific analyses were performed. RESULTS: The mean body height was higher in sCAD patients than in controls (171.3 cm (SD 8.6) vs 167.7 cm (8.9); p<0.0001) and sCAD patients had a significantly lower mean body weight (67.5 (12.2) kg vs 69.3 (14.6) kg; p<0.001) and mean BMI (22.9 (3.3) kg/m2 vs 24.5 (4.2) kg/m2; p<0.0001) than controls. The overall frequency of hypertension, diabetes, current smoking, past smoking and hypercholesterolaemia did not differ significantly between sCAD patients and controls. The mean total plasma cholesterol level was identical in both groups (5.5 mmol/l, SD 1.1). Gender specific subgroup analyses showed similar results for men and women. CONCLUSION: Patients with sCAD had a higher body height and a lower body weight and BMI than controls, while major vascular risk factors were similar in sCAD patients and controls.

Integrating structured and unstructured data in a business-intelligence-system

The recent liberalization of the German energy market has forced the energy industry to develop and install new information systems to support agents on the energy trading floors in their analytical tasks. Besides classical approaches of building a data warehouse giving insight into the time series to understand market and pricing mechanisms, it is crucial to provide a variety of external data from the web. Weather information as well as political news or market rumors are relevant to give the appropriate interpretation to the variables of a volatile energy market. Starting from a multidimensional data model and a collection of buy and sell transactions a data warehouse is built that gives analytical support to the agents. Following the idea of web farming we harvest the web, match the external information sources after a filtering and evaluation process to the data warehouse objects, and present this qualified information on a user interface where market values are correlated with those external sources over the time axis.

Impulses for an Effective and Modern Data Protection System

A substantial reform of data protection law is on the agenda of the European Commission as it is widely agreed that data protection law is faced by lots of challenges, due to fundamental technical and social changes or even revolutions. Therefore, the authors have issued draft new provisions on data protection law that would work in both Germany and Europe. The draft is intended to provide a new approach and deal with the consequences of such an approach. This article contains some key theses on the main legislatory changes that appear both necessary and adequate.

Combining follow-up and change data is valid in meta-analyses of continuous outcomes: a meta-epidemiological study

OBJECTIVE To investigate whether it is valid to combine follow-up and change data when conducting meta-analyses of continuous outcomes. STUDY DESIGN AND SETTING Meta-epidemiological study of randomized controlled trials in patients with osteoarthritis of the knee/hip, which assessed patient-reported pain. We calculated standardized mean differences (SMDs) based on follow-up and change data, and pooled within-trial differences in SMDs. We also derived pooled SMDs indicating the largest treatment effect within a trial (optimistic selection of SMDs) and derived pooled SMDs from the estimate indicating the smallest treatment effect within a trial (pessimistic selection of SMDs). RESULTS A total of 21 meta-analyses with 189 trials with 292 randomized comparisons in 41,256 patients were included. On average, SMDs were 0.04 standard deviation units more beneficial when follow-up values were used (difference in SMDs: -0.04; 95% confidence interval: -0.13, 0.06; P=0.44). In 13 meta-analyses (62%), there was a relevant difference in clinical and/or significance level between optimistic and pessimistic pooled SMDs. CONCLUSION On average, there is no relevant difference between follow-up and change data SMDs, and combining these estimates in meta-analysis is generally valid. Decision on which type of data to use when both follow-up and change data are available should be prespecified in the meta-analysis protocol.