Experimental Planning and Data Analysis

Code:

CMRM112

Acronym:

CMRM112

Keywords
Classification	Keyword
OFICIAL	Marine Sciences

Instance: 2010/2011 - 1S

Active?	Yes
Responsible unit:	Instituto Português do Mar e da Atmosfera
Course/CS Responsible:	Master Degree in Marine Sciences - Marine Resources

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MCMRM	28	Specialisation in Marine Biology and Ecology 2008	1	-	2,5	25	67,5
		Specialisation in Aquaculture and Fisheries 2008	1	-	2,5	25	67,5

Teaching language

Portuguese

Objectives

They are fitted in the realization of the global objectives of the Master's degree, i.e., to form professionals who could secure the management of the sea and of the coastal zones and the supported development of the industries of aquaculture and fisheries.

Program

INTRODUCTORY STATISTICS AND PROBABILITY

Conditional probability and independence. Bayes´ theorem. Random variables. Density and mass functions. Expected value, variance and covariance. Probability distributions: binomial, poisson, normal, chi-square, exponential, Student´s t and Snedecor´s F. Exercises.


STATISTICAL INFERENCE: POPULATION, SAMPLE AND SAMPLING

Introduction to point estimation, interval estimation and hypothesis testing. Maximum likelihood and least squares methods. Sampling distribution of estimators and their properties. Error probabilities and power functions, p-values. Exercises.


SAMPLING DESIGN

Sampling from finite populations. Simple random sampling, stratified random sampling. Determination of optimum sample size. Properties of various estimators including ratio and difference estimators. Reference to cluster, systematic and multi-stage sampling designs. Exercises.


TESTS FOR ONE AND TWO SAMPLES

Notion of independent and paired samples. Testing independence, homogeneity and differences between means. Exercises.


ANALYSIS OF VARIANCE

Definition of fixed, random, additive and multiplicative effects. Models for one-way and two-way ANOVA for fixed effects. Underlying assumptions, partition of variance and ANOVA F test. Transformation of variables. Multiple comparisons and estimation of contrasts. Exercises.

REGRESSION ANALYSIS

Simple linear regression: review of matrix theory, estimation and inference, prediction, analysis of residuals, detection of outliers, use of transformations. Multiple linear regression: influence diagnostics, partial correlation, selection of variables including step-wise procedures. Non-linear regression: introduction and estimation of the model parameters by the Newton-Raphson method.

Mandatory literature

Zar, J.H.; Biostatistical Analysis, 3rd.edition. , Prentice Hall International, Inc., 662 pp., 1996
Cochran, W.G. ; Sampling Techniques, 3rd.edition, John Wiley & Sons, New York, 428 pp., 1977
Conover, W.J.; Practical Nonparametric Statistics, 2nd.edition. , John Wiley & Sons, New York, 493 pp., 1980
Lindman, H.R.; Analysis of Variance in Experimental Design, Springer-Verlag, New York, 529 pp., 1992
Rawlings, J.O.; Apllied Regression Analysis: a research tool, The Wadsworth & Brooks, Pacific Grove, California., 1988
Cohen, J.; Statistical Power Analysis for the Behavioral Sciences, 2nd.edition. , Lawrence Erlbaum Associates, Inc., Publishers Hillsdale, N.J., 567 pp., 1988

Software

R: www.r-project.org (instalar a versão R-2.7.0 para Windows a partir do site www.stats.bris.ac.uk/R/)

Evaluation Type

Evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	25,00
	Total:	-	0,00