Application of student's t-test, analysis of variance, and covariance

Student's t test (t test), analysis of variance (ANOVA), and analysis of covariance (ANCOVA) are statistical methods used in the testing of hypothesis for comparison of means between the groups. The Student's t test is used to compare the means between two groups, whereas ANOVA is used to compare the means among three or more groups. In ANOVA, first gets a common P value. A significant P value of the ANOVA test indicates for at least one pair, between which the mean difference was statistically significant. To identify that significant pair(s), we use multiple comparisons. In ANOVA, when using one categorical independent variable, it is called one-way ANOVA, whereas for two categorical independent variables, it is called two-way ANOVA. When using at least one covariate to adjust with dependent variable, ANOVA becomes ANCOVA. When the size of the sample is small, mean is very much affected by the outliers, so it is necessary to keep sufficient sample size while using these methods.

Screening and agronomic benefits of the stay-green trait in common bean genotypes / Screening e contribuições agronômicas do caráter stay-green em genótipos de feijão

Selecting a trait linked to metabolic pathways that enhance resistance and tolerance to biotic and abiotic stresses may be an excellent alternative. A practical approach to increase the productivity of annual crops is to maximize the photosynthetic efficiency in plant breeding. The purpose of this study was to discriminate common bean genotypes during physiological senescence with regard to the stay-green trait and analyze its effects on other traits of agronomic interest. Ten common bean genotypes were analyzed in a randomized complete block design with three replications. The stay-green trait was assessed by visual scores at harvest. The chlorophyll a content, chlorophyll b and green pod color were also evaluated during senescence (75, 80, 85, 90, and 95 days after sowing). Pod maturation of all evaluated genotypes was standard when they reached 95 days after sowing. The stay - green feature was detected only in the genotypes BRS Expedito, FT - Tarumã and BAF071. Genetic variability in the mechanisms related to late senescence is indicated by: i) a high initial chlorophyll a content; and ii) reduced chlorophyll degradation throughout senescence. Plants with stay-green properties were significantly correlated with a lower incidence and severity of plant pathology, greater stem diameter, and higher grain yield.

Selecionar uma característica relacionada às vias metabólicas responsáveis pelo aumento da resistência e/ou tolerância a estresses bióticos e abióticos pode ser uma excelente alternativa no melhoramento de plantas. Uma abordagem prática para aumentar a produtividade das culturas anuais é maximizar a eficiência fotossintética. O objetivo do trabalho foi discriminar genótipos de feijão durante a senescência fisiológica quanto ao caráter stay-green e correlacionar os efeitos sobre outros caracteres de interesse agronômico. Foram avaliados dez genótipos de feijão submetidos ao delineamento de blocos casualizados com três repetições. O caráter stay-green foi mensurado por escores de notas visuais na colheita. Também foram avaliados o teor de clorofila a, teor de clorofila b e coloração verde do legume no decorrer da senescência (75, 80, 85, 90, 95 dias após semeadura). A maturação dos legumes foi padrão para todos osgenótipos avaliados. Os genótipos BRS Expedito, FT - Tarumã e BAF071 apresentaram stay-green, diferentemente dos demais. A variabilidade genética nos mecanismos relacionados a senescência tardia, são detectadas pela: i) elevado teor de clorofila a inicial; e ii) reduzida degradação de clorofila ao longo da senescência. As plantas com stay-green apresentaram correlações significativas com menor incidência e severidade de fitopatologias, maior diâmetro do caule e rendimento de grãos.

Análise de covariância: uma aplicação a dados de função pulmonar, ajustados por idade / Analysis of covariance: application to pulmonary function data, adjusted for age

Introdução: Em diversas situações estamos interessados em comparar médias entre dois ou mais grupos. A relação entre estas variáveis pode ser influenciada por uma terceira variável. Esta última é conhecida como covariável e deve ser incluída na análise estatística. Quando essa variável é quantitativa utiliza-se Análise de Covariância (ANCOVA). No contexto da fibrose cística (FC), o volume expiratório forçado no primeiro segundo (VEF1) é uma medida de função pulmonar conhecida por desempenhar importante papel na monitorização de pacientes. Estudos mostram que mulheres com FC apresentaram valores mais baixos de VEF1. Entretanto, a influência da idade também deve ser considerada. Objetivo: Apresentar a aplicabilidade da ANCOVA, suas suposições e a interpretação de seus resultados, através de um exemplo envolvendo a relação entre VEF1 e gênero, considerando a idade dos pacientes como covariável. Métodos: Foram utilizados dados obtidos por simulação, considerando VEF1 com distribuição normal (média=86; DP=21). ANCOVA foi utilizada para avaliar diferença média de VEF1 entre homens e mulheres, ajustada por idade.Resultados: Foram analisados dados de 64 pacientes, idade média de 12 anos (DP=2,5) e VEF1 médio de 85,9 (DP=20,73). Na avaliação inicial do VEF1, as mulheres apresentaram, em média, valores significativamente maiores do que os homens (P=0,021). Entretanto, após o ajuste por idade, esta relação deixou de ser significativa (P=0,100). Conclusão: Esses dados ilustram a influência de uma covariável na relação entre um fator em estudo e o desfecho. Verificou-se a partir da ANCOVA, que o efeito aparente de gênero no VEF1 desaparece com o ajuste para idade do paciente.

Background: In several situations there is an interest in comparing means between two or more groups. The relationship between these variables may be influenced by a third variable, known as covariate, which should be included in the statistical analysis. When the covariate is a quantitative variable, analysis of covariance (ANCOVA) should be used. In the context of cystic fibrosis (CF), forced expiratory volume in 1 second (FEV1) is a measure of pulmonary function known to play an important role in patient monitoring. Studies have shown that women with CF have lower FEV1. However, the influence of age should also be considered. Aim: To demonstrate the applicability of ANCOVA, with assumptions and interpretation of results, using an example involving the relationship between FEV1 and gender, considering patient age as a covariate. Methods: Data were obtained by simulation, considering FEV1 as normally distributed (mean=86; SD=21). ANCOVA was used to assess mean differences in FEV1 between men and women, adjusted for age. Results: Data from 64 patients [mean age: 12 years (SD=2.5)] were analyzed, and mean FEV1 was 85.9 (SD=20.73). At baseline, women had average FEV1 values significantly higher than men (P=0.021). However, after adjusting for age, this relationship was no longer significant (P=0.100). Conclusion: These data illustrate the influence that a covariate may have on the relationship between factors under study and the outcome of interest. ANCOVA revealed that the apparent effect of gender on FEV1 disappears after adjustment for patient age.

Inter-rater Reliability in a Clinical Performance Examination Using Multiple Standardized Patients for the Same Case / 한국의학교육

PURPOSE: The "standardization" of standardized patients (SP) is one of the most crucial factors for a successful clinical performance examination (CPX). This study aimed to examine the inter-rater reliability among SPs who portrayed the same case during a CPX. METHODS: The context was a CPX conducted under the supervision of CPX Seoul-Gyeonggi Consortium in K medical school in August 2007. K medical school ran 12 stations consisting of duplicated sets of 6 cases. In total, thirty SPs participated with 5 SPs acting each of the 6 cases. The SPs evaluated the student's performances in addition to portraying the cases. ANCOVA (analysis of covariance) was used to compare scores rated by the different SPs. The dependent variables were the case scores and the 4 subcomponent (history taking, physical examination, Clinical courtesy, and Patient-physician interaction) scores for each case; the independent variable was the SPs; and the covariate was the CPX total score. RESULTS: The Headache and Cough stations showed an acceptable level of reliability. Otherwise, Weight Loss and Facial Flushing failed to show consistent scores in all 4 subcomponents. Diarrhea and Lt. hemiparesis showed partial consistency. In terms of the subcomponents, the physical exam scores were most consistent and the patient-physician interaction scores were most inconsistent. CONCLUSION: This study tested the level of "standardization" of one set of CPX cases with mixed results. The authors hope that our results will contribute to quality assurance of CPX.

Association of abdominal circumference with serum nitric oxide concentration in healthy population

<p><b>OBJECTIVES</b>We determined the relationship between abdominal circumference and the concentration of nitric oxide (NO), an endothelial cell product known to play an important role in the regulation of vascular tone and thrombocyte activations.</p><p><b>METHODS</b>Subjects were 177 men and 339 women aged 40 or over who were free from a history of diabetes or malignancy. Analysis of covariance was applied to examine the gender-specific and smoking-status-specific associations of abdominal fat volume measured as waist circumference, waist-hip ratio, and waist-to-stature ratio, with serum NO level represented by the concentration of NO metabolites (NOx; nitrate plus nitrite).</p><p><b>RESULTS</b>Although men showed no statistical association between abdominal fat accumulation and NOx concentration, abdominal adiposity seemed to inversely affect the serum NOx concentration of never- and current-smoking women.</p><p><b>CONCLUSION</b>Our results suggest that a reduction in NO bioactivity occurs with abdominal fat accumulation in women. The underlying biological mechanism might involve adipocytokines secreted from visceral fat, but is yet to be elucidated.</p>

Association of Abdominal Circumference with Serum Nitric Oxide Concentration in Healthy Population

Objectives: We determined the relationship between abdominal circumference and the concentration of nitric oxide (NO), an endothelial cell product known to play an important role in the regulation of vascular tone and thrombocyte activations. Methods: Subjects were 177 men and 339 women aged 40 or over who were free from a history of diabetes or malignancy. Analysis of covariance was applied to examine the gender-specific and smoking-status-specific associations of abdominal fat volume measured as waist circumference, waist-hip ratio, and waist-to-stature ratio, with serum NO level represented by the concentration of NO metabolites (NOx; nitrate plus nitrite). Results: Although men showed no statistical association between abdominal fat accumulation and NOx concentration, abdominal adiposity seemed to inversely affect the serum NOx concentration of never- and current-smoking women. Conclusion: Our results suggest that a reduction in NO bioactivity occurs with abdominal fat accumulation in women. The underlying biological mechanism might involve adipocytokines secreted from visceral fat, but is yet to be elucidated.