Subject: Statistics II

Scientific Area:



56 Hours

Number of ECTS:




Overall objectives:

1 - Understanding standard multivariate techniques.
2 - Selecting an appropriate statistical methodology to answer questions arising in psychology.
3 - Carrying out multivariate data analyses with statistical software, namely SPSS or R.
4 - Writing a statistical report in a clear and scientifically accurate language.
5 - Understanding the assumptions underlying statistical techniques and being able to verify them empirically.


1 - One-way analysis of variance. Multiple comparisons. Two-way analysis of variance; main effects and interaction. Repeated measures analysis of variance. Fixed vs. random effects. Nonparametric analysis of variance: Friedman and Kruskal-Wallis tests.
2 - Bivariate correlation; simple linear regression. Multipla regression; multiple and partial correlations. Interpretation and significance of the regression coefficients. Multivariate outliers and influential points.
3 - Relative risk and odds ratio. The logistic regression model. Model fitting. Interactions.
4 - An introduction to principal components analysis and factor analysis. Computing the principal components. Rotation and interpretation of the principal components. Stopping rules.


Zar, J.H. , 1999 , Biostatistical Analysis , Prentice Hall International Editions
Wackerly D. D., Mendenhall W., Scheaffer R. L. , 2002 , Mathematical Statistics with Applications , Duxbury
Pallant J. , 2013 , SPSS Survival Manual: A Step by Step Guide to Data Analysis Using IBM SPSS , McGraw-Hill
Pestana M. H., Gageiro J. N. , 2014 , Análise de Dados para as Ciências Sociais - A Complementaridade do SPSS , Edições Sílabo
Siegel S., Castellan N. J. , 1998 , Nonparametric Statistics for the Behavioral Sciences , McGraw-Hill
Armitage P., Berry G. , 1994 , Statistical Methods in Medical Research , Blackwell Science
Aron A., Aron E., Coups, E. , 2014 , Statistics for Psychology , Pearson Education
Cobb G. W. , 1998 , Introduction to Design and Analysis of Experiments , Springer
Dancey C. P., Reidy J. , 2014 , Statistics without Maths for Psychology , Pearson Education International
Draper N. R., Smith H. , 1998 , Applied Regression Analysis , Wiley
Field A. , 2011 , Discovering Statistics Using SPSS , Cengage Learning
Glantz S.A., Slinker B.K. , 2001 , Primer of Applied Regression and Analysis of Variance , McGraw-Hill
Heiman G. W. , 1996 , Basic Statistics for the Behavioral Sciences , Houghton Mifflin Company
Howell D. C. , 2010 , Statistical Methods for Psychology , Wadsworth Cengage Learning
Marôco J. , 2014 , Análise Estatística com o SPSS Statistics , Report Number
Mendenhall W., Sincich T. , 2003 , A Second Course in Statistics - Regression Analysis , Pearson Education
Montgomery D.C. , 2013 , Design and Analysis of Experiments , Wiley
Mosteller F., Rourke R. E. K. , 1993 , Estatísticas Firmes: Estatísticas Não Paramétricas e Estatísticas Ordinais , Edições Salamandra

Assesssment methods and criteria:

Classification Type: Quantitativa (0-20)

Evaluation Methodology:
Theoretical lectures and theoretico-practical classes with applied exercises, which the students are to solve using software and some input from the lecturer. Evaluation is based on two tests consisting of a theoretico-practical application of one or more multivariate statistical techniques. Each test contributes with 50% to the final grade.