University Rovira y Virgili 
Educational guide Faculty of Oenology 
english 
Bachelor's Degree in Oenology (2014) 
Subjects 
STATISTICS 
Contents 
IDENTIFYING DATA  2019_20 
Subject  STATISTICS  Code  19224005  
Study programme 

Cycle  1st  
Descriptors  Credits  Type  Year  Period  
6  Basic Course  First  1Q 
Competences  Learning outcomes  Contents 
Planning  Methodologies  Personalized attention 
Assessment  Sources of information  Recommendations 
Topic  Subtopic 
1. Introduction to data analysis.  1.1. Concept of Statistics. Contents of Statistics. 1.2. Concept of population, sample, individual and random variable. 1.3. Classification of the statistical variables. 1.4. Position parameters. 1.5. Dispersion parameters. 
2. Random variables.  2.1. Concept of probability and properties. 2.2. Concept of random variable. 2.3. Discrete random variables: probability function and distribution function. 2.4. Continuous random variables: density function and distribution function. 2.5. Expected value. 2.6. Variance. 
3. Models of probability distribution.  3.1. Discrete distributions: Bernoulli, binomial, Poisson, uniform. 3.2. Continuous distributions: uniform, exponential, normal. 3.3. General normal law. Reduced normal law: N(0,1). 3.4. Distributions deduced from the normal: khisquared, Studentâ€™s t and Snedecorâ€™s F. 3.5. Convergence to the normal law: central limit theorem. 3.6. Use of statistical tables. 
4. Theory of estimation.  4.1. Concept of estimator and parameter. Point estimation and interval estimation. 4.2. Properties of estimators: bias, efficiency and consistency. 4.3. Some methods of estimation: method of moments and method of maximum likelihood. 4.4. Notion of confidence interval. Confidence coefficient. 4.5. Determination of confidence intervals for: a mean, a difference between means, a variance, a ratio between variances, a proportion and a difference between proportions. 
5. Hypothesis testing.  5.1. Statistical hypotheses. Types of hypotheses. 5.2. Concept of critical region and acceptance region. 5.3. Types of errors. Power of a test. Significance level. 5.4. Applying hypothesis testing to: a mean, a difference between means, a variance, a ratio between variances, a proportion and a difference between proportions. 
6. Analysis of variance.  6.1. General concepts about the analysis of variance. 6.2. Oneway design. 6.3. Twoway design without interaction. Random blocks. 6.4. Twoway design with interaction. 
7. Linear regression.  7.1. Simple linear regression model. 7.2. Estimation of the regression line by the least squares method. 7.3. Goodnessoffit measures. 7.4. Significance testing. 7.5. Prediction intervals. 7.6. Non linear regression. 7.7. Multiple linear regression. 
8. Numerical methods.  8.1. Error analysis. 8.2. Zeros of functions. 8.3. Solving systems of linear equations. 8.4. Numerical integration. 8.5. Numerical solution of differential equations. 