A unified approach for representing rows and columns in contingency tables

By using suitable parameters, we present a uni¯ed aproach for describing four methods for representing categorical data in a contingency table. These methods include:correspondence analysis (CA), the alternative approach using Hellinger distance (HD),the log-ratio (LR) alternative, which is appropriate for compositional data, and theso-called non-symmetrical correspondence analysis (NSCA). We then make an appropriate comparison among these four methods and some illustrative examples are given.Some approaches based on cumulative frequencies are also linked and studied usingmatrices.Key words: Correspondence analysis, Hellinger distance, Non-symmetrical correspondence analysis, log-ratio analysis, Taguchi inertia

Analyse des épisodes de bactériémies chez les patients nécessitant une prise en charge aux soins intensifs

Introduction : Bacteremia are among the leading forms of severe infections requiring ICU management, and have been reported to be associated with important morbidity and mortality. Bloodstream infection (BSI) can be classified as hospital-acquired (HA), healthcare-associated (HCA) and community-acquired (CA). Each type has its own characteristics and outcome. Methods : We analyzed all consecutive episodes of bacteremia occurring in patients hospitalized in our mixed 32-bed ICU over a 12 month period (01.10.2009-30.09.2010). HA BSI were prospectively included in a multicenter study (EUROBACT). We adapted the case report form to analyze retrospectively all other cases of BSI. Chi-square tests were used for the categorical variables and ANOVA tests for the continuous variables. Results : Bacteremia occurred in 103 patients (120 bacteria) for an incidence-density of 49.3 episodes/1000 admissions. Among HA episodes, about one quarter of episodes was related to vascular accesses, including two thirds acquired outside of the ICU. Concerning HCA BSI, two-thirds originated from the urinary tract. In contrast, a respiratory origin was found in one third of CA episodes. Multiresistant microorganisms were more frequent in HA and HCA BSI. The overall mortality was 32%, as compared to 7.9% and 13.6% for the overall ICU and hospital mortality of other ICU patients over the same period, respectively. In a multivariate model, age (1.06 [1.02-1.11]), septic shock (3.11 [1.16-8.33]) and renal remplacement (7.81 [1.50, 14.93]) were significantly associated with a fatal outcome. Conclusion : Two-thirds of bacteremia documented among ICU patients were nosocomial and in contrast to those community-acquired, Gram-negatives represented the majority of them. However, CA bacteremia were associated with a higher rate of septic shock and death. The microbiological characteristics of HCA episodes were more similar to those HA, that is why it is important to individualize this category in order to adapt the antibiotics.

Tea consumption and incidence of type 2 diabetes in Europe: the EPIC-InterAct case-cohort study.

BACKGROUND In previous meta-analyses, tea consumption has been associated with lower incidence of type 2 diabetes. It is unclear, however, if tea is associated inversely over the entire range of intake. Therefore, we investigated the association between tea consumption and incidence of type 2 diabetes in a European population. METHODOLOGY/PRINCIPAL FINDINGS The EPIC-InterAct case-cohort study was conducted in 26 centers in 8 European countries and consists of a total of 12,403 incident type 2 diabetes cases and a stratified subcohort of 16,835 individuals from a total cohort of 340,234 participants with 3.99 million person-years of follow-up. Country-specific Hazard Ratios (HR) for incidence of type 2 diabetes were obtained after adjustment for lifestyle and dietary factors using a Cox regression adapted for a case-cohort design. Subsequently, country-specific HR were combined using a random effects meta-analysis. Tea consumption was studied as categorical variable (0, >0-<1, 1-<4, ≥ 4 cups/day). The dose-response of the association was further explored by restricted cubic spline regression. Country specific medians of tea consumption ranged from 0 cups/day in Spain to 4 cups/day in United Kingdom. Tea consumption was associated inversely with incidence of type 2 diabetes; the HR was 0.84 [95%CI 0.71, 1.00] when participants who drank ≥ 4 cups of tea per day were compared with non-drinkers (p(linear trend) = 0.04). Incidence of type 2 diabetes already tended to be lower with tea consumption of 1-<4 cups/day (HR = 0.93 [95%CI 0.81, 1.05]). Spline regression did not suggest a non-linear association (p(non-linearity) = 0.20). CONCLUSIONS/SIGNIFICANCE A linear inverse association was observed between tea consumption and incidence of type 2 diabetes. People who drink at least 4 cups of tea per day may have a 16% lower risk of developing type 2 diabetes than non-tea drinkers.

Object-oriented Bayesian networks for evaluating DIP-STR profiling results from unbalanced DNA mixtures.

The genetic characterization of unbalanced mixed stains remains an important area where improvement is imperative. In fact, with current methods for DNA analysis (Polymerase Chain Reaction with the SGM Plus™ multiplex kit), it is generally not possible to obtain a conventional autosomal DNA profile of the minor contributor if the ratio between the two contributors in a mixture is smaller than 1:10. This is a consequence of the fact that the major contributor's profile 'masks' that of the minor contributor. Besides known remedies to this problem, such as Y-STR analysis, a new compound genetic marker that consists of a Deletion/Insertion Polymorphism (DIP), linked to a Short Tandem Repeat (STR) polymorphism, has recently been developed and proposed elsewhere in literature [1]. The present paper reports on the derivation of an approach for the probabilistic evaluation of DIP-STR profiling results obtained from unbalanced DNA mixtures. The procedure is based on object-oriented Bayesian networks (OOBNs) and uses the likelihood ratio as an expression of the probative value. OOBNs are retained in this paper because they allow one to provide a clear description of the genotypic configuration observed for the mixed stain as well as for the various potential contributors (e.g., victim and suspect). These models also allow one to depict the assumed relevance relationships and perform the necessary probabilistic computations.

Personality disorders and the Five-Factor Model among French speakers in Africa and Europe

Objective: Several authors have suggested that Personality Disorders (PDs) might be more accurately described using a dimensional model instead of a categorical one. The aim of this study was to describe the relationship between PDs and the Five-Factor Model (FFM)-a dimensional model describing normal personality traits known for its invariance across cultures-in two different cultural settings. Method: Subjects from nine French-speaking African countries (n = 2,014) and from Switzerland (n = 697) completed both the French-version of the IPDE screening questionnaire, assessing the ten DSM-IV PDs, and the French-version of the NEO-PI-R, assessing the five domains and thirty facets of the FFM. Results: Correlations between PDs and the five domains of the FFM were similar in both samples. For example, Neuroticism was highly correlated with Borderline, Avoidant, and Dependent PDs in both Africa and Switzerland. The total rank-order correlation (rho) between the two correlation matrices was very high (rho = 0.93) and significant (P < 0.001), as were the rhos for all domains of the FFM and all PDs, except Paranoid and Dependent PDs. However, the rhos for PDs across facet-scales were all highly significant (P < 0.001). Moreover, 80% of Widiger and colleagues' predictions and 70 % of Lynam and Widiger's prototypes, concerning the relationship between PDs and the FFM, were confirmed in both samples. Conclusions: The relationship between PDs and the FFM was stable in two samples separated by a great cultural distance. These results suggest that a dimensional approach and in particular the FFM might be useful for describing PDs in a variety of cultural settings.

Malaria in the state of Rio de Janeiro, Brazil, an Atlantic Forest area: an assessment using the health surveillance service

The lethality of malaria in the extra-Amazonian region is more than 70 times higher than in Amazonia itself. Recently, several studies have shown that autochthonous malaria is not a rare event in the Brazilian southeastern states in the Atlantic Forest biome. Information about autochthonous malaria in the state of Rio de Janeiro (RJ) is scarce. This study aims to assess malaria cases reported to the Health Surveillance System of the State of Rio de Janeiro between 2000-2010. An average of 90 cases per year had parasitological malaria confirmation by thick smear. The number of malaria notifications due to Plasmodium falciparum increased over time. Imported cases reported during the period studied were spread among 51% of the municipalities (counties) of the state. Only 35 cases (4.3%) were autochthonous, which represents an average of 3.8 new cases per year. Eleven municipalities reported autochthonous cases; within these, six could be characterised as areas of residual or new foci of malaria from the Atlantic Forest system. The other 28 municipalities could become receptive for transmission reintroduction. Cases occurred during all periods of the year, but 62.9% of cases were in the first semester of each year. Assessing vulnerability and receptivity conditions and vector ecology is imperative to establish the real risk of malaria reintroduction in RJ.

Lactate quartile concentration and prognosis in severe sepsis and septic shock.

Introduct ion The Surviving Sepsis Campaign (SSC) indicates that a lactate (LT) concentration greater than 4ımmol/l indicates early resuscitation bundles. However, several recent studies have suggested that LT values lower than 4ımmol/l may be a prognostic marker of adverse outcome. The aim of this study was to identify clinical and analytical prognostic parameters in severe sepsis (SS) or septic shock (ShS) according to quartiles of blood LT concentration. Methods A cohort study was designed in a polyvalent ICU. We studied demographic, clinical and analytical parameters in 148 critically ill adults, within 24ıhours from SS or ShS onset according to SSC criteria. We tested for diı erences in baseline characteristics by lactate interval using a KruskalıWallis test for continuous data or a chi-square test for categorical data and reported the median and interquartile ranges; SPSS version 15.0 (SPSS Inc., Chicago, IL, USA). Results We analyzed 148 consecutive episodes of SS (16%) or ShS (84%). The median age was 64 (interquartile range, 48.7 to 71)ıyears; male: 60%. The main sources of infection were respiratory tract 38% and intra-abdomen 45%; 70.7% had medical pathology. Mortality at 28ıdays was 22.7%. Quartiles of blood LT concentration were quartile 1 (Q1): 1.87ımmol/l or less, quartile 2 (Q2): 1.88 to 2.69ımmol/l, quartile 3 (Q3): 2.7 to 4.06ımmol/l, and quartile 4 (Q4): 4.07ımmol/l or greater (Tableı1). The median LT concentrations of each quartile were 1.43 (Q1), 2.2 (Q2), 3.34 (Q3), and 5.1 (Q4) mmol/l (Pı<0.001). The diı erences between these quartiles were that the patients in Q1 had signiı cantly lower APACHE II scores (Pı=ı0.04), SOFA score (Pı=ı0.024), number of organ failures (NOF) (Pı<0.001) and ICU mortality (Pı=ı0.028), compared with patients in Q2, Q3 and Q4. Patients in Q1 had signiı cantly higher cholesterol (Pı=ı0.06) and lower procalcitonin (Pı=ı0.05) at enrolment. At the extremes, patients in Q1 had decreased 28-day mortality (Pı=ı0.023) and, patients in Q4 had increased 28-day mortality, compared with the other quartiles of patients (Pı=ı0.009). Interestingly, patients in Q2 had signiı cant increased mortality compared with patients in Q1 (Pı=ı0.043), whereas the patients in Q2 had no signiı cant diı erence in 28-day mortality compared with patients in Q3. Conclusion Adverse outcomes and several potential risk factors, including organ failure, are signiı cantly associated with higher quartiles of LT concentrations. It may be useful to revise the cutoı value of lactate according to the SSC (4 mmol/l).

The subjectivist interpretation of probability and the problem of individualisation in forensic science

This paper presents and discusses further aspects of the subjectivist interpretation of probability (also known as the 'personalist' view of probabilities) as initiated in earlier forensic and legal literature. It shows that operational devices to elicit subjective probabilities - in particular the so-called scoring rules - provide additional arguments in support of the standpoint according to which categorical claims of forensic individualisation do not follow from a formal analysis under that view of probability theory.

Using petri nets to specify and execute missions for autonomous underwater vehicles

This paper presents the design and implementation of a mission control system (MCS) for an autonomous underwater vehicle (AUV) based on Petri nets. In the proposed approach the Petri nets are used to specify as well as to execute the desired autonomous vehicle mission. The mission is easily described using an imperative programming language called mission control language (MCL) that formally describes the mission execution thread. A mission control language compiler (MCL-C) able to automatically translate the MCL into a Petri net is described and a real-time Petri net player that allows to execute the resulting Petri net onboard an AUV are also presented

Fosfomycin versus meropenem in bacteraemic urinary tract infections caused by extended-spectrum β-lactamase-producing Escherichia coli (FOREST): study protocol for an investigator-driven randomised controlled trial.

INTRODUCTION Finding therapeutic alternatives to carbapenems in infections caused by extended-spectrum β-lactamase-producing Escherichia coli (ESBL-EC) is imperative. Although fosfomycin was discovered more than 40 years ago, it was not investigated in accordance with current standards and so is not used in clinical practice except in desperate situations. It is one of the so-called neglected antibiotics of high potential interest for the future. METHODS AND ANALYSIS The main objective of this project is to demonstrate the clinical non-inferiority of intravenous fosfomycin with regard to meropenem for treating bacteraemic urinary tract infections (UTI) caused by ESBL-EC. This is a 'real practice' multicentre, open-label, phase III randomised controlled trial, designed to compare the clinical and microbiological efficacy, and safety of intravenous fosfomycin (4 g/6 h) and meropenem (1 g/8 h) as targeted therapy for this infection; a change to oral therapy is permitted after 5 days in both arms, in accordance with predetermined options. The study design follows the latest recommendations for designing trials investigating new options for multidrug-resistant bacteria. Secondary objectives include the study of fosfomycin concentrations in plasma and the impact of both drugs on intestinal colonisation by multidrug-resistant Gram-negative bacilli. ETHICS AND DISSEMINATION Ethical approval was obtained from the Andalusian Coordinating Institutional Review Board (IRB) for Biomedical Research (Referral Ethics Committee), which obtained approval from the local ethics committees at all participating sites in Spain (22 sites). Data will be presented at international conferences and published in peer-reviewed journals. DISCUSSION This project is proposed as an initial step in the investigation of an orphan antimicrobial of low cost with high potential as a therapeutic alternative in common infections such as UTI in selected patients. These results may have a major impact on the use of antibiotics and the development of new projects with this drug, whether as monotherapy or combination therapy. TRIAL REGISTRATION NUMBER NCT02142751. EudraCT no: 2013-002922-21. Protocol V.1.1 dated 14 March 2014.

Diagnosing Patients Combining Principal Components Analysis and Case Based Reasoning

This paper addresses the application of a PCA analysis on categorical data prior to diagnose a patients data set using a Case-Based Reasoning (CBR) system. The particularity is that the standard PCA techniques are designed to deal with numerical attributes, but our medical data set contains many categorical data and alternative methods as RS-PCA are required. Thus, we propose to hybridize RS-PCA (Regular Simplex PCA) and a simple CBR. Results show how the hybrid system produces similar results when diagnosing a medical data set, that the ones obtained when using the original attributes. These results are quite promising since they allow to diagnose with less computation effort and memory storage

Validity of four short physical activity questionnaires in middle-aged persons.

PURPOSE: Self-administered questionnaires continue to be the most widely used type of physical activity assessment in epidemiological studies. However, test-retest reliability and validity of physical activity questionnaires have to be determined. In this study, three short physical activity questionnaires already used in Switzerland and the International Physical Activity Questionnaire (IPAQ) were validated. METHODS: Test-retest reliability was assessed by repeated administration of all questionnaires within 3 wk in 178 volunteers (77 women, 46.1+/-14.8 yr; 101 men 46.8+/-13.2 yr). Validity of categorical and continuous data was studied in a subsample of 35 persons in relation to 7-d accelerometer readings, percent body fat, and cardiorespiratory fitness. RESULTS: Reliability was fair to good with a Spearman correlation coefficient range of 0.43-0.68 for measures of continuous data and moderate to fair with Kappa values between 0.32 and 0.46 for dichotomous measures active/inactive. Total physical activity reported in the IPAQ and the Office in Motion Questionnaire (OIMQ) correlated with accelerometry readings (r=0.39 and 0.44, respectively). In contrast, correlations of self-reported physical data with percent body fat and cardiorespiratory fitness were low (r=-0.26-0.29). Participants categorized as active by the Swiss HEPA Survey 1999 instrument (HEPA99) accumulated significantly more days of the recommended physical activities than their inactive counterparts (4.4 and 2.7 d.wk, respectively, P<0.05). However, compared with accelerometer data, vigorous physical activities were overreported in investigated questionnaires. CONCLUSION: Collecting valid data on physical activity remains a challenging issue for questionnaire surveys. The IPAQ and the three other questionnaires are characterized to inform decisions about their appropriate use.

Neuroprotection in cerebral ischemia with XG-102, a new peptide inhibitor of JNK

Abstract Stroke or cerebrovascular accident, whose great majority is of ischemic nature, is the third leading cause of mortality and long lasting disability in industrialised countries. Resulting from the loss of blood supply to the brain depriving cerebral tissues of oxygen and glucose, it induces irreversible neuronal damages. Despite the large amount of research carried out into the causes and pathogenic features of cerebral ischemia the progress toward effective treatments has been poor. Apart the clot-busting drug tissue-type plasminogen activator (tPA) as effective therapy for acute stroke (reperfusion by thrombolysis) but limited to a low percentage of patients, there are currently no other approved medical treatments. The need for new therapy strategies is therefore imperative. Neuronal death in cerebral ischemia is among others due to excitotoxic mechanisms very early after stroke onset. One of the main involved molecular pathways leading to excitotoxic cell death is the c-Jun NH2-terminal kinase (JNK) pathway. Several studies have already shown the efficacy of a neuroprotective agent of a new type, a dextrogyre peptide synthesized in the retro inverso form (XG102, formerly D-JNKI1), which is protease-resistant and cell-penetrating and that selectively and strongly blocks the access of JNK to many of its targets. A powerful protection was observed with this compound in several models of ischemia (Borsello et al. 2003;Hirt et al. 2004). This chimeric compound, made up of a 10 amino acid TAT transporter sequence followed by a 20 amino acids JNK binding domain (JBD) sequence from JNK inhibitor protein (JIP) molecule, induced both a major reduction in lesion size and improved functional outcome. Moreover it presents a wide therapeutic window. XG-102 has proved its powerful efficacy in an occlusion model of middle cerebral artery in mice with intracérebroventricular (i.c.v.) injection but in order to be able to consider the development of this drug for human ischemic stroke it was therefore necessary to determine the feasibility of its systemic administration. The studies being the subject of this thesis made it possible to show a successful neuroprotection with XG-102 administered systemically after transient mouse middle cerebral artery occlusion (MCAo). Moreover our data. provided information about the feasibility to combine XG-102 with tPA without detrimental action on cell survival. By combining the benefits from a reperfusion treatment with the effects of a neuroprotective compound, it would represent the advantage of bringing better chances to protect the cerebral tissue. Résumé L'attaque cérébrale ou accident vasculaire cérébral, dont la grande majorité est de nature ischémique, constitue la troisième cause de mortalité et d'infirmité dans les pays industrialisés. Résultant de la perte d'approvisionnement de sang au cerveau privant les tissus cérébraux d'oxygène et de glucose, elle induit des dommages neuronaux irréversibles. En dépit du nombre élevé de recherches effectuées pour caractériser les mécanismes pathogènes de l'ischémie. cérébrale, les progrès vers des traitements efficaces restent pauvres. Excepté l'activateur tissulaire du plasminogène (tPA) dont le rôle est de désagréger les caillots sanguins et employé comme thérapie efficace contre l'attaque cérébrale aiguë (reperfusion par thrombolyse) mais limité à un faible pourcentage de patients, il n'y a actuellement aucun autre traitement médical approuvé. Le besoin de nouvelles stratégies thérapeutiques est par conséquent impératif. La mort neuronale dans l'ischémie cérébrale est entre autres due à des mécanismes excitotoxiques survenant rapidement après le début de l'attaque cérébrale. Une des principales voies moléculaires impliquée conduisant à la mort excitotoxique des cellules est la voie de la c-Jun NH2terminal kinase (JNK). Plusieurs études ont déjà montré l'efficacité d'un agent neuroprotecteur d'un nouveau type, un peptide dextrogyre synthétisé sous la forme retro inverso (XG-102, précédemment D-JNKI1) résistant aux protéases, capable de pénétrer dans les cellules et de bloquer sélectivement et fortement l'accès de JNK à plusieurs de ses cibles. Une puissante protection a été observée avec ce composé dans plusieurs modèles d'ischémie (Borsello et al. 2003;Hirt et al. 2004). Ce composé chimérique, construit à partir d'une séquence TAT de 10 acides aminés suivie par une séquence de 20 acides aminés d'un domaine liant JNK (JBD) issu de la molécule JNK protéine inhibitrice. (JIP), induit à la fois une réduction importante de la taille de lésion et un comportement fonctionnel amélioré. De plus il présente une fenêtre thérapeutique étendue. XG-102 a prouvé sa puissante efficacité dans un modèle d'occlusion de l'artère cérébrale moyenne chez la souris avec injection intracerebroventriculaire (i.c.v.) mais afin de pouvoir envisager le développement de ce composé pour l'attaque cérébrale chez l'homme, il était donc nécessaire de déterminer la faisabilité de son administration systémique. Les études faisant l'objet de cette thèse ont permis de montrer une neuroprotection importante avec XG-102 administré de façon systémique après l'occlusion transitoire de l'artère cérébrale moyenne chez la souris (MCAo). De plus nos données ont fourni des informations quant à la faisabilité de combiner XG-102 et tPA, démontrant une protection efficace par XG-102 malgré l'action nuisible du tPA sur la survie des cellules. En combinant les bénéfices de la reperfusion avec les effets d'un composé neurooprotecteur, cela représenterait l'avantage d'apporter des meilleures chances de protéger le tissu cérébral.

Early major worsening in ischemic stroke: predictors and outcome.

INTRODUCTION: We aimed to investigate the characteristics and outcome of patients suffering early major worsening (EMW) after acute ischemic stroke (AIS) and assess the parameters associated with it. METHODS: All consecutive patients with AIS in the ASTRAL registry until 10/2010 were included. EMW was defined as an NIHSS increase of ≥8 points within the first 24 h after admission. The Bootstrap version of the Kolmogorov-Smirnov test and the χ(2)-test were used for the comparison of continuous and categorical covariates, respectively, between patients with and without EMW. Multiple logistic regression analysis was performed to identify independent predictors of EMW. RESULTS: Among 2155 patients, 43 (2.0 %) had an EMW. EMW was independently associated with hemorrhagic transformation (OR 22.6, 95 % CI 9.4-54.2), cervical artery dissection (OR 9.5, 95 % CI 4.4-20.6), initial dysarthria (OR 3.7, 95 % CI 1.7-8.0), and intravenous thrombolysis (OR 2.1, 95 % CI 1.1-4.3), whereas a negative association was identified with initial eye deviation (OR 0.4, 95 % CI 0.2-0.9). Favorable outcome at 3 and 12 months was less frequent in patients with EMW compared to patients without (11.6 vs. 55.3 % and 16.3 vs. 50.7 %, respectively), and case fatality was higher (53.5 vs. 12.9 % and 55.8 vs. 16.8 %, respectively). Stroke recurrence within 3 months in surviving patients was similar between patients with and without EMW (9.3 vs. 9.0 %, respectively). CONCLUSIONS: Worsening of ≥8 points in the NIHSS score during the first 24 h in AIS patients is related to cervical artery dissection and hemorrhagic transformation. It justifies urgent repeat parenchymal and arterial imaging. Both conditions may be influenced by targeted interventions in the acute phase of stroke.

Determining the best population-level alcohol consumption model and its impact on estimates of alcohol-attributable harms.

BACKGROUND: The goals of our study are to determine the most appropriate model for alcohol consumption as an exposure for burden of disease, to analyze the effect of the chosen alcohol consumption distribution on the estimation of the alcohol Population- Attributable Fractions (PAFs), and to characterize the chosen alcohol consumption distribution by exploring if there is a global relationship within the distribution. METHODS: To identify the best model, the Log-Normal, Gamma, and Weibull prevalence distributions were examined using data from 41 surveys from Gender, Alcohol and Culture: An International Study (GENACIS) and from the European Comparative Alcohol Study. To assess the effect of these distributions on the estimated alcohol PAFs, we calculated the alcohol PAF for diabetes, breast cancer, and pancreatitis using the three above-named distributions and using the more traditional approach based on categories. The relationship between the mean and the standard deviation from the Gamma distribution was estimated using data from 851 datasets for 66 countries from GENACIS and from the STEPwise approach to Surveillance from the World Health Organization. RESULTS: The Log-Normal distribution provided a poor fit for the survey data, with Gamma and Weibull distributions providing better fits. Additionally, our analyses showed that there were no marked differences for the alcohol PAF estimates based on the Gamma or Weibull distributions compared to PAFs based on categorical alcohol consumption estimates. The standard deviation of the alcohol distribution was highly dependent on the mean, with a unit increase in alcohol consumption associated with a unit increase in the mean of 1.258 (95% CI: 1.223 to 1.293) (R2 = 0.9207) for women and 1.171 (95% CI: 1.144 to 1.197) (R2 = 0. 9474) for men. CONCLUSIONS: Although the Gamma distribution and the Weibull distribution provided similar results, the Gamma distribution is recommended to model alcohol consumption from population surveys due to its fit, flexibility, and the ease with which it can be modified. The results showed that a large degree of variance of the standard deviation of the alcohol consumption Gamma distribution was explained by the mean alcohol consumption, allowing for alcohol consumption to be modeled through a Gamma distribution using only average consumption.