Regressão Simplex aplicada a delineamentos de mistura e utilização do Algoritmo Boosting

In the composition of this work are present two parts. The first part contains the theory used. The second part contains the two articles. The first article examines two models of the class of generalized linear models for analyzing a mixture experiment, which studied the effect of different diets consist of fat, carbohydrate, and fiber on tumor expression in mammary glands of female rats, given by the ratio mice that had tumor expression in a particular diet. Mixture experiments are characterized by having the effect of collinearity and smaller sample size. In this sense, assuming normality for the answer to be maximized or minimized may be inadequate. Given this fact, the main characteristics of logistic regression and simplex models are addressed. The models were compared by the criteria of selection of models AIC, BIC and ICOMP, simulated envelope charts for residuals of adjusted models, odds ratios graphics and their respective confidence intervals for each mixture component. It was concluded that first article that the simplex regression model showed better quality of fit and narrowest confidence intervals for odds ratio. The second article presents the model Boosted Simplex Regression, the boosting version of the simplex regression model, as an alternative to increase the precision of confidence intervals for the odds ratio for each mixture component. For this, we used the Monte Carlo method for the construction of confidence intervals. Moreover, it is presented in an innovative way the envelope simulated chart for residuals of the adjusted model via boosting algorithm. It was concluded that the Boosted Simplex Regression model was adjusted successfully and confidence intervals for the odds ratio were accurate and lightly more precise than the its maximum likelihood version.

Solubilização de fontes alternativas de potássio pelos ácidos húmicos, cítrico e casca de café

This study was to evaluate the solubility of nepheline syenite rocks and glauconite as alternative sources of K by organic humic acid arrays, citrus and coffee pods at various times from 0 to 180 days of incubation. The experiment was conducted in the fertility laboratory in the Department of Soil Science at the Federal University of Lavras in a completely randomized design with 90 treatments and 3 replications. The treatments were arranged in a factorial arrangement (2 x 3 x 7 + 3), 2 nepheline syenite rocks and glauconite incubated with water and 3 matrix organic humic acid, citric acid and coffee husk in six different incubation times of 0, 7, 15, 30, 75, 120 and 180 days, incubation were performed with the three above-mentioned organic matrix in increasing doses of 0, 1, 2, 5 and 10% humic acids and citric 0, 5, 10 20 and 40% for coffee husk. We evaluated the K2O content by different extractants soluble in 2% citric acid and water all treatments at all incubation times quoted above. Incubation and the application of organic matrix rocks nepheline syenite and generally glauconite provided a significant increase in solubility of K of the rocks studied in this work. Among the organic matrix has been observed that the coffee husk which provided the greatest release of K2O in both rocks mainly into the extractor 2% citric acid showed that the most efficient extraction K2O in all treatments.