Data methods in optometry. Part 10: non-linear regression analysis

1. The techniques associated with regression, whether linear or non-linear, are some of the most useful statistical procedures that can be applied in clinical studies in optometry. 2. In some cases, there may be no scientific model of the relationship between X and Y that can be specified in advance and the objective may be to provide a ‘curve of best fit’ for predictive purposes. In such cases, the fitting of a general polynomial type curve may be the best approach. 3. An investigator may have a specific model in mind that relates Y to X and the data may provide a test of this hypothesis. Some of these curves can be reduced to a linear regression by transformation, e.g., the exponential and negative exponential decay curves. 4. In some circumstances, e.g., the asymptotic curve or logistic growth law, a more complex process of curve fitting involving non-linear estimation will be required.

Mathematical modelling of patient risks in a hospital environment, using multiple regression analysis

The aim of this research work was primarily to examine the relevance of patient parameters, ward structures, procedures and practices, in respect of the potential hazards of wound cross-infection and nasal colonisation with multiple resistant strains of Staphylococcus aureus, which it is thought might provide a useful indication of a patient's general susceptibility to wound infection. Information from a large cross-sectional survey involving 12,000 patients from some 41 hospitals and 375 wards was collected over a five-year period from 1967-72, and its validity checked before any subsequent analysis was carried out. Many environmental factors and procedures which had previously been thought (but never conclusively proved) to have an influence on wound infection or nasal colonisation rates, were assessed, and subsequently dismissed as not being significant, provided that the standard of the current range of practices and procedures is maintained and not allowed to deteriorate. Retrospective analysis revealed that the probability of wound infection was influenced by the patient's age, duration of pre-operative hospitalisation, sex, type of wound, presence and type of drain, number of patients in ward, and other special risk factors, whilst nasal colonisation was found to be influenced by the patient's age, total duration of hospitalisation, sex, antibiotics, proportion of occupied beds in the ward, average distance between bed centres and special risk factors. A multi-variate regression analysis technique was used to develop statistical models, consisting of variable patient and environmental factors which were found to have a significant influence on the risks pertaining to wound infection and nasal colonisation. A relationship between wound infection and nasal colonisation was then established and this led to the development of a more advanced model for predicting wound infections, taking advantage of the additional knowledge of the patient's state of nasal colonisation prior to operation.

Regression analysis of ranked segment parameters for optic nerve head classification:a pilot study

Purpose: To determine whether curve-fitting analysis of the ranked segment distributions of topographic optic nerve head (ONH) parameters, derived using the Heidelberg Retina Tomograph (HRT), provide a more effective statistical descriptor to differentiate the normal from the glaucomatous ONH. Methods: The sample comprised of 22 normal control subjects (mean age 66.9 years; S.D. 7.8) and 22 glaucoma patients (mean age 72.1 years; S.D. 6.9) confirmed by reproducible visual field defects on the Humphrey Field Analyser. Three 10°-images of the ONH were obtained using the HRT. The mean topography image was determined and the HRT software was used to calculate the rim volume, rim area to disc area ratio, normalised rim area to disc area ratio and retinal nerve fibre cross-sectional area for each patient at 10°-sectoral intervals. The values were ranked in descending order, and each ranked-segment curve of ordered values was fitted using the least squares method. Results: There was no difference in disc area between the groups. The group mean cup-disc area ratio was significantly lower in the normal group (0.204 ± 0.16) compared with the glaucoma group (0.533 ± 0.083) (p < 0.001). The visual field indices, mean deviation and corrected pattern S.D., were significantly greater (p < 0.001) in the glaucoma group (-9.09 dB ± 3.3 and 7.91 ± 3.4, respectively) compared with the normal group (-0.15 dB ± 0.9 and 0.95 dB ± 0.8, respectively). Univariate linear regression provided the best overall fit to the ranked segment data. The equation parameters of the regression line manually applied to the normalised rim area-disc area and the rim area-disc area ratio data, correctly classified 100% of normal subjects and glaucoma patients. In this study sample, the regression analysis of ranked segment parameters method was more effective than conventional ranked segment analysis, in which glaucoma patients were misclassified in approximately 50% of cases. Further investigation in larger samples will enable the calculation of confidence intervals for normality. These reference standards will then need to be investigated for an independent sample to fully validate the technique. Conclusions: Using a curve-fitting approach to fit ranked segment curves retains information relating to the topographic nature of neural loss. Such methodology appears to overcome some of the deficiencies of conventional ranked segment analysis, and subject to validation in larger scale studies, may potentially be of clinical utility for detecting and monitoring glaucomatous damage. © 2007 The College of Optometrists.

Structural brain connectivity and cognitive ability differences: A multivariate distance matrix regression analysis

Neuroimaging research involves analyses of huge amounts of biological data that might or might not be related with cognition. This relationship is usually approached using univariate methods, and, therefore, correction methods are mandatory for reducing false positives. Nevertheless, the probability of false negatives is also increased. Multivariate frameworks have been proposed for helping to alleviate this balance. Here we apply multivariate distance matrix regression for the simultaneous analysis of biological and cognitive data, namely, structural connections among 82 brain regions and several latent factors estimating cognitive performance. We tested whether cognitive differences predict distances among individuals regarding their connectivity pattern. Beginning with 3,321 connections among regions, the 36 edges better predicted by the individuals' cognitive scores were selected. Cognitive scores were related to connectivity distances in both the full (3,321) and reduced (36) connectivity patterns. The selected edges connect regions distributed across the entire brain and the network defined by these edges supports high-order cognitive processes such as (a) (fluid) executive control, (b) (crystallized) recognition, learning, and language processing, and (c) visuospatial processing. This multivariate study suggests that one widespread, but limited number, of regions in the human brain, supports high-level cognitive ability differences. Hum Brain Mapp, 2016. © 2016 Wiley Periodicals, Inc.

Re-visiting the health care luxury good hypothesis: Aggregation, precision, and publication biases?

[cat] Mentre que una creixent literatura que ha examinat la relació entre la renda i la despesa sanitària suggereix que els serveis sanitaris són un be de luxe (elasticitat renda superior a la unitat), aquesta conclusió es contínuament debatuda atesa l'heterogeneïtat dels resultats. Aquest article testa la hipòtesis dels serveis sanitaris com bens de luxe fent server anàlisi de meta- regressió, particularment analitzant l'existència de biaixos de selecció de publicació, precisió així com biaixos d'agregació. Els resultats apunten l'existència d'un biaix de publicació, robust independentment dels controls analitzats. Els biaixos de precisió i agregació semblen tenir un paper en la generació de les estimacions de l'elasticitat renda. Els nostres resultat suggereixen que l'elasticitat renda dels serveis sanitaris un cop corregir pels biaixos esmentat varien entre 0.26 i 0.84, però no podem rebutjar que la elasticitat renda es igual a la unitat en algunes estimacions de l'elasticitat corregides.

Re-visiting the health care luxury good hypothesis: Aggregation, precision, and publication biases?

[cat] Mentre que una creixent literatura que ha examinat la relació entre la renda i la despesa sanitària suggereix que els serveis sanitaris són un be de luxe (elasticitat renda superior a la unitat), aquesta conclusió es contínuament debatuda atesa l'heterogeneïtat dels resultats. Aquest article testa la hipòtesis dels serveis sanitaris com bens de luxe fent server anàlisi de meta- regressió, particularment analitzant l'existència de biaixos de selecció de publicació, precisió així com biaixos d'agregació. Els resultats apunten l'existència d'un biaix de publicació, robust independentment dels controls analitzats. Els biaixos de precisió i agregació semblen tenir un paper en la generació de les estimacions de l'elasticitat renda. Els nostres resultat suggereixen que l'elasticitat renda dels serveis sanitaris un cop corregir pels biaixos esmentat varien entre 0.26 i 0.84, però no podem rebutjar que la elasticitat renda es igual a la unitat en algunes estimacions de l'elasticitat corregides.

Presión arterial en preescolares de la localidad de Usaquén en Bogotá

Introducción: La hipertensión arterial es un problema de salud pública tanto en países industrializados como en vía de desarrollo. Su prevalencia en la infancia viene en aumento por lo que es relevante determinarla en niños preescolares a nivel local. Objetivo: Determinar la prevalencia de hipertensión arterial en niños de tres a cinco años de una cohorte de 14 hogares infantiles del ICBF de la localidad de Usaquén en Bogotá. Materiales y métodos: Se realizó un estudio de corte transversal analítico, utilizando la base de datos de un ensayo aleatorizado y controlado del año 200913, y se evaluaron las cifras de tensión arterial de acuerdo a sexo, edad, talla y su correlación con el IMC con un nivel de confianza del 95% y precisión del 1%. Se calcularon las medias, desviaciones estándar, percentiles y prevalencia. Resultados: Se obtuvo una muestra de 1035 casos, encontrándose una prevalencia de 4,5% de HTA sistólica, 10,4% de diastólica, ambas en estadio I; teniendo en cuenta tanto sistólica como diastólica, fue de 11,6% en estadio I. Se determinaron los valores de presión arterial sistólica y diastólica en cuartiles de acuerdo a edad, sexo y talla. El coeficiente de correlación entre el IMC y los niveles de presión arterial sistólica y diastólica fueron de 0.0992 y 0.0362 respectivamente. Conclusión: La prevalencia de HTA general fue de 11,6%, predominando la diastólica en estadio I en niños preescolares. No se encontró correlación entre el IMC y las cifras de tensión arterial sistólica y diastólica.

Capacidad aeróbica de bomberos aeronáuticos

Los bomberos aeronáuticos son los encargados de atender todas las emergencias en los aeropuertos y sus cercanías. Estas emergencias incluyen emergencias aéreas, en tierra, eventos con materiales peligros e incendios, entre otros. Su trabajo tiene como características la realización de actividades durante periodos largos de baja intensidad y periodos cortos de alta intensidad. De acuerdo con estas características, es necesario que los bomberos aeronáuticos tengan una buena condición física. El consumo máximo de oxígeno (VO2 máx) como indicador de capacidad aeróbica resulta indispensable para conocer el desempeño de los bomberos en su trabajo. El objetivo de este estudio es determinar la capacidad aeróbica de los bomberos aeronáuticos y sus factores determinantes. Por tanto se desarrolló un estudio transversal de tipo descriptivo en una muestra de 23 hombres bomberos aeronáuticos. Se obtuvo información acerca de sus variables socio-demográficas, se determinó el VO2 máx y umbral ventilatorio mediante análisis de gases espirados durante un protocolo de ejercicio máximo sobre tapiz rodante, se evaluó la composición corporal mediante adipometría y se determinó el nivel de actividad física mediante el cuestionario internacional de actividad física IPAQ. Se encontró que la muestra tenia una edad de 32,6 ± 4,8 años, peso de 78,4 ± 9,8 kg, porcentaje de grasa de 14,8 ± 3,8 %, índice de masa corporal de 25,7 ± 2,7 y VO2máx de 44,6 ± 6. No se encontraron cambios significativos del VO2máx con la edad, pero si con la actividad física, porcentaje de grasa e índice de masa corporal. Se sugiere que el entrenamiento de los bomberos aeronáuticos durante su jornada laboral sea de intervalos de alta intensidad y que se monitorice su nivel de actividad física y composición corporal.

Factores pronósticos al desarrollo de mutaciones relacionadas con resistencia antiretroviral secundaria en pacientes colombianos viviendo con VIH

Las mutaciones secundarias de resistencia al manejo antiretroviral es una realidad, y determina el éxito o fracaso del manejo del VIH. En Colombia, los casos de resistencia asociadas a mutaciones han aumentado. Para determinar esta condición en nuestra población, se realiza un estudio de tipo casos y controles, en pacientes VIH manejados en una IPS especializada en manejo y seguimiento de la enfermedad. Toman 71 pacientes con fracaso terapéutico por resistencia antiretroviral, y se documentaron las mutaciones confirmadas con Genotipo, pacientes que han manejado los diferentes esquemas antirretrovirales, y se comparan con pacientes controles que no desarrollaron resistencia a pesar de haber recibido un manejo antiretroviral similar e iniciado al mismo tiempo. Se busca evidenciar factores predictivos para controlar presencia de estas mutaciones a futuro. El estudio encontró que en ambos grupos, no existen diferencias significativas en cuanto a género, preferencia sexual, uso de psicoactivos, nivel social y las etapas de la enfermedad clasificadas según CDC. Observando que los pacientes con resistencia al tratamiento, eran más jóvenes que los controles (OR: 0,891; p> 0,001), y con una menor carga viral al momento del diagnóstico. La adecuada adherencia al tratamiento, se mostró como un factor protector al desarrollo de resistencia (OR: 0,030, p< 0,000). Se evidencia que existe mayor riesgo de generación de mutaciones en pacientes jóvenes. Respecto a los tipos de mutaciones evidenciadas por genotipos, se describen múltiples mutaciones, observando mutaciones para inhibidores de la transcriptasa reversa nucleosidos (33 mutaciones) y no nucleosidos (32 mutaciones), principalmente M184V en INTR (81%) y K103N en INNTR (40%), mutaciones para inhibidores de proteasa (57 mutaciones), principalmente L24I (40%); esta prevalencia de mutaciones son similares a estudios realizados y descritos en la literatura médica (1)

Diferencia entre tratamientos en pacientes con angioma cavernoso del tallo cerebral en el instituto nacional de neurología y neurocirugía Manuel Velasco Suárez

Introducción: la historia natural de la hemorragia en el tallo cerebral secundaria a un angioma cavernoso es benigna. Sin embargo, el riesgo de recurrencia y de mayor discapacidad parece incrementarse con el tiempo a pesar del tratamiento recibido; hecho que plantea dudas acerca de si el manejo quirúrgico de estas lesiones ofrece mayor beneficio sobre el manejo médico después del primer evento hemorrágico. El objetivo del estudio fue evaluar el riesgo de resangrado y el grado de discapacidad final en los angiomas cavernosos del tallo cerebral según el tratamiento recibido. Métodos: estudio observacional, analítico tipo cohorte. Se incluyeron pacientes con un primer sangrado en el tallo cerebral secundario a angioma cavernoso que fueron tratados en el Instituto Nacional de Neurología y Neurocirugía (INNN) de Ciudad de México. Resultados: noventa y nueve (99) pacientes fueron incluidos en un periodo de 25 años (1990-2015). Treinta y siete (37) recibieron tratamiento quirúrgico y sesenta y dos (62) recibieron tratamiento médico tras su primer sangrado. El promedio de edad fue de 38 años (DS: 14,17) para el grupo que recibió tratamiento médico y 36 años (DS: 12,82) para los que recibieron tratamiento quirúrgico. La incidencia acumulada de resangrado para el tratamiento médico fue de 5,1 por 100 años/persona y para el tratamiento quirúrgico de 3,9 por 100 años/persona (p = 0,016). Se realizó un análisis estratificado donde no se encontró ninguna asociación entre resangrado y edad o sexo del paciente. Se evaluó la discapacidad final con la escala de Rankin (mRs) sin encontrar diferencias significativas entre tratamientos (p=0.77). Por último, se realizó un modelo explicativo de regresión logística binaria donde se encontró que la edad superior a 55 años (OR: 2.19 IC 95%: 1.67-47,6), el tamaño mayor a 15 mm (OR: 2,5 IC 95%: 3,8-45,9) y la recurrencia del sangrado (OR: 1,7 IC 95%: 1,63-18,7) son factores asociados a un desenlace desfavorable en cuanto a discapacidad final. Discusión y Conclusiones: en los pacientes con angioma cavernoso del tallo cerebral que han presentado un primer evento de sangrado no se encontró una diferencia estadísticamente significativa entre el tratamiento médico o quirúrgico al evaluar la discapacidad funcional con la escala de Rankin modificada, a pesar de evidenciar una diferencia significativa en la incidencia acumulada de resangrado por grupos de tratamiento. El tamaño de la lesión, la recurrencia del sangrado y la edad superior a 55 años son factores asociados a un desenlace desfavorable en este grupo de pacientes.

Computer technology applications in surgical implant dentistry: a systematic review

PURPOSE: To assess the literature on accuracy and clinical performance of computer technology applications in surgical implant dentistry. MATERIALS AND METHODS: Electronic and manual literature searches were conducted to collect information about (1) the accuracy and (2) clinical performance of computer-assisted implant systems. Meta-regression analysis was performed for summarizing the accuracy studies. Failure/complication rates were analyzed using random-effects Poisson regression models to obtain summary estimates of 12-month proportions. RESULTS: Twenty-nine different image guidance systems were included. From 2,827 articles, 13 clinical and 19 accuracy studies were included in this systematic review. The meta-analysis of the accuracy (19 clinical and preclinical studies) revealed a total mean error of 0.74 mm (maximum of 4.5 mm) at the entry point in the bone and 0.85 mm at the apex (maximum of 7.1 mm). For the 5 included clinical studies (total of 506 implants) using computer-assisted implant dentistry, the mean failure rate was 3.36% (0% to 8.45%) after an observation period of at least 12 months. In 4.6% of the treated cases, intraoperative complications were reported; these included limited interocclusal distances to perform guided implant placement, limited primary implant stability, or need for additional grafting procedures. CONCLUSION: Differing levels and quantity of evidence were available for computer-assisted implant placement, revealing high implant survival rates after only 12 months of observation in different indications and a reasonable level of accuracy. However, future long-term clinical data are necessary to identify clinical indications and to justify additional radiation doses, effort, and costs associated with computer-assisted implant surgery.

A systematic review on the accuracy and the clinical outcome of computer-guided template-based implant dentistry

Introduction: The aim of this systematic review was to analyze the dental literature regarding accuracy and clinical application in computer-guided template-based implant dentistry. Materials and methods: An electronic literature search complemented by manual searching was performed to gather data on accuracy and surgical, biological and prosthetic complications in connection with computer-guided implant treatment. For the assessment of accuracy meta-regression analysis was performed. Complication rates are descriptively summarized. Results: From 3120 titles after the literature search, eight articles met the inclusion criteria regarding accuracy and 10 regarding the clinical performance. Meta-regression analysis revealed a mean deviation at the entry point of 1.07 mm (95% CI: 0.76-1.22 mm) and at the apex of 1.63 mm (95% CI: 1.26-2 mm). No significant differences between the studies were found regarding method of template production or template support and stabilization. Early surgical complications occurred in 9.1%, early prosthetic complications in 18.8% and late prosthetic complications in 12% of the cases. Implant survival rates of 91-100% after an observation time of 12-60 months are reported in six clinical studies with 537 implants mainly restored immediately after flapless implantation procedures. Conclusion: Computer-guided template-based implant placement showed high implant survival rates ranging from 91% to 100%. However, a considerable number of technique-related perioperative complications were observed. Preclinical and clinical studies indicated a reasonable mean accuracy with relatively high maximum deviations. Future research should be directed to increase the number of clinical studies with longer observation periods and to improve the systems in terms of perioperative handling, accuracy and prosthetic complications.

The Valuation of Agricultural Land and the Influence of Government Payments. Factor Markets Working Paper No. 10, December 2011

This study gives an overview of the theoretical foundations, empirical procedures and derived results of the literature identifying determinants of land prices. Special attention is given to the effects of different government support policies on land prices. Since almost all empirical studies on the determination of land prices refer either to the net present value method or the hedonic pricing approach as a theoretical basis, a short review of these models is provided. While the two approaches have different theoretical bases, their empirical implementation converges. Empirical studies use a broad range of variables to explain land values and we systematise those into six categories. In order to investigate the influence of different measures of government support on land prices, a meta-regression analysis is carried out. Our results reveal a significantly higher rate of capitalisation for decoupled direct payments and a significantly lower rate of capitalisation for agri-environmental payments, as compared to the rest of government support. Furthermore, the results show that taking theoretically consistent land rents (returns to land) and including non-agricultural variables like urban pressure in the regression implies lower elasticities of capitalisation. In addition, we find a significant influence of the land type, the data type and estimation techniques on the capitalisation rate.

LMS tables for waist circumference and waist-to-height ratio among Colombian children and adolescents: The FUPRECOL study

Background: Indices predictive of central obesity include waist circumference (WC) and waist-to-height ratio (WHtR). The aims of this study were 1) to establish a Colombian youth smoothed centile charts and LMS tables for WC and WHtR and 2) to evaluate the utility of these parameters as predictors of overweight and obesity. Method: A cross-sectional study whose sample population comprised 7954 healthy Colombian schoolchildren [boys n=3460 and girls n=4494, mean (standard deviation) age 12.8 (2.3) years old]. Weight, height, body mass index (BMI), WC and WHtR and its percentiles were calculated. Appropriate cut-offs point of WC and WHtR for overweight and obesity, as defined by the International Obesity Task Force (IOTF) definitions, were selected using receiver operating characteristic (ROC) analysis. The discriminating power of WC and WHtR was expressed as area under the curve (AUC). Results: Reference values for WC and WHtR are presented. Mean WC increased and WHtR decreased with age for both genders. We found a moderate positive correlation between WC and BMI (r= 0.756, P < 0.01) and WHtR and BMI (r= 0.604, P < 0.01). The ROC analysis showed a high discrimination power in the identification of overweight and obesity for both measures in our sample population. Overall, WHtR was slightly a better predictor for overweight/obesity (AUC 95% CI 0.868-0.916) than the WC (AUC 95% CI 0.862-0.904). Conclusion: This paper presents the first sex- and age-specific WC and WHtR percentiles for both measures among Colombian children and adolescents aged 9–17.9 years. By providing LMS tables for Latin-American people based on Colombian reference data, we hope to provide quantitative tools for the study of obesity and its comorbidities.