Resolution, interpretation and comments of the exercises previously sent to the students

Esclarecimento de dúvidas sobre os trabalhos de avaliação de RSM.

Realização de um trabalho sobre Análise em componentes principais e Técnicas de clustering.

Esclarecimento de dúvidas sobre os trabalhos de avaliação de ANOVA e RSM.

 Tests for Contingency tables:  test of Independence and test of Homogeneity

Distribution-free tests: the Wilcoxon signed-rank test and the Mann-Whitney test

Examples and exercises in R

Resampling methods – introduction

The traditional approach in Statistics

The Bootstrap methodology

The Bootstrap methodology in R.

Principal component analysis and clustering analysis. Exercises.

Feriado

Introduction: bibliographic references.

Nonparametric methods in Statistics–introduction

Goodness of fit tests: the Shapiro-Wilk test, the Kolmogorov-Smirnov test, the chi-square goodness-of-fit test; other goodness-of-fit tests.

Tests for Contingency tables: introduction.

Examples in R.

Introduction to RSM. Two level Factorial Designs. Addition of center points to the 2^k design.
Central Composite Design.
Determination of optimum conditions: the steepest ascent method and the canonical analysis.
Examples in R using the package rsm.

(This class was taught on Friday, May 20)

Simple Linear Regression in a descriptive context. Linearising Transformations. Multiple Linear Regression in a descriptive context. Polynomial Regression.
Inference in Linear Regression. Model validation: diagnostics for residuals. Models and submodels.

ANOVA: single factor, randomized blocks, two factor factorial design. Assumptions and validation (residuals, Bartlett's test). Tukey HSD test. Interaction plots. Examples in R.

(This class was taught on Friday, May 13)

Statistical inference: hypotheses tests; confidence intervals and hypotheses tests for one population mean and for the difference of two means in independent and paired samples. Assumptions and validation. Examples in R. The problem of multi comparison.

Presentation of a case study concerning the aplication of Surface Response Methodology in optimization: "Effect of beeswax concentration and tripolyphosphate concentration on the solubility and water vapour permeability of composite beeswax/chitosan biodegradable films".

Clustering analysis (cont). Biclustering.

Clustering analysis (cont).

Clustering analysis.

Discussão de trabalhos de cinética enzimática.

Principal component analysis (cont).

Principal component analysis.

Revisions of statistical concepts.

Determinação dos parametros cinéticos Km e Vmax: Ajuste directo à equação de Michaelis; gráfico de Lineweaver-Burk; gráfico de Hanes; gráfico de Eadie-Hofstee; Método Linear Directo.

Exercicios de aplicação e utilização do Excel no cálculo dos parâmetros cinéticos.

Cinética enzimática. Reacções catalizadas por enzimas. Factores que afectam a velocidade de uma reacção enzimática. Cinética de Michaelis-Menten. Inibição enzimática (inibidores competitivos, não-competitivos e acompetitivos). Cinética das reacções com dois substratos. Enzimas alostéricas. 

Methods used to study gene expression in a few genes scale and high through put scale. Introduction to microarrays (gene Chip) and RNA-sequencing.

The gene ontology concept to make a first data analysis.

Revision and introduction to the most important molecular biology concepts used in computational biology

Presentation of the PhD working proposals by each student.

Brief description of the themes to be teach in the Biology module

Objects of type function (cont). Programming with R.

Introduction to software R. Objects of type function.

Introduction to software R. Objects of type list and dataframe.

Introduction to software R. Objects of type vector and matrix