2025
   
    
    
    	
    				 			 			 			 			 			 	
    	
    	
	
	
   	        
	
			
		    	    	     		     	       		     		     	       		     		     	       		     		     	       		     		     			     
 	    	    	     		     	      			      	  				  			       		     		     	       		     		     	       		     		     	       		     		     			     
 	    	    	     		     	       		     		     	      			      	  				  			       		     		     	       		     		     	       		     		     			     
 	    	    	     		     	       		     		     	       		     		     	      			      	  				  			       		     		     	       		     		     			     
 	    	    	     		     	       		     		     	       		     		     	       		     		     	       		     		     			     
 	    	    	     		     	       		     		     	       		     		     	       		     		     	       		     		     			     
 	    		
	
	    		     
		     		     
		     	 		     	
 	    		     
		     	
 	    		     
		     	
 	    		     
		     	
 	    		     
		     		     
		     	 		     	
 	    		     
		     		     
		     	 		     	
 	    
	
	   	                
	    	
    
    
    
    	
   	   
	
   	   	   	   
	   	
   	   	       	    
       	           	    	           	    	    			    		       						       	    	    	       						       	       	
    
    
    
    Advanced Topics in Multivariate Statistic
	Name: Advanced Topics in Multivariate Statistic
      
      
	Code: MAT11707D
      
      
	6 ECTS
      
      
	Duration: 15 weeks/156 hours
      
      
	Scientific Area:
	
	      
	      
	      	      	  		  	      	  		  	   	      	  	   			   
		  		  Mathematics
	      	
      
      
	Teaching languages: Portuguese
      
            	        	  	   	        	  	   	        	  	   	        	  	   	              
      
	Languages of tutoring support: Portuguese
      
                  
	Regime de Frequência: Presencial
      
      
      
            
            Sustainable Development Goals
Learning Goals
		  		      In this course we study the most current models considered in Multivariate Statistics. These methods
attempt to give students a broad education and current methods of multivariate statistics to be used in
various scientific fields and various sets of data (categorical and continuous variables, statistical surveys,
large databases, optimization problems, financial problems, economic and management, among others).
The use of statistical software and analysis allow the treatment of databases.
	  attempt to give students a broad education and current methods of multivariate statistics to be used in
various scientific fields and various sets of data (categorical and continuous variables, statistical surveys,
large databases, optimization problems, financial problems, economic and management, among others).
The use of statistical software and analysis allow the treatment of databases.
Contents
		  		      1.Multivariate Distributions (multivariate normal distribution, Wishart distribution, Hotelling distribution,
the Wilks Lambda statistic).
2.Methods of Analysis Interdependence
3.Independent Conponente Analysis
4.Methods of Analysis Dependence
5.Multidimensional Scaling
6.Date Mining
	  the Wilks Lambda statistic).
2.Methods of Analysis Interdependence
3.Independent Conponente Analysis
4.Methods of Analysis Dependence
5.Multidimensional Scaling
6.Date Mining
Teaching Methods
		  		      Theoretical-practical lessons mainly lectured with a blackboard, with e-learning tools, and transparencies. Motivation of students attendance to the classroom and students continuous work. 
Introduction to theoretical concepts to illustrate the importance of course contents. Exercises with emphasis in the resolution of real problems, to motivate interest in the course and to demonstrate its utility.
To stimulate individual and group participation within the classroom and at home.
To emphasize the critical analysis and interpretation of data, appealing to software outputs as much as possible.
Evaluation:
To privilege continued evaluation carrying out one test plus individual/group homework projects. If continuous evaluation is not feasible for the student, a final examination is possible, but the individual / group project is still required although with lesser weight for final grade.
		  		
	  Introduction to theoretical concepts to illustrate the importance of course contents. Exercises with emphasis in the resolution of real problems, to motivate interest in the course and to demonstrate its utility.
To stimulate individual and group participation within the classroom and at home.
To emphasize the critical analysis and interpretation of data, appealing to software outputs as much as possible.
Evaluation:
To privilege continued evaluation carrying out one test plus individual/group homework projects. If continuous evaluation is not feasible for the student, a final examination is possible, but the individual / group project is still required although with lesser weight for final grade.
Teaching Staff
- Luís Miguel Lindinho da Cunha Mendes Grilo [responsible]
 
            
    
    
      
            
    
    
      
            
    
    
      
            
    
    
      
            
    
    
      
            
    
    
      
            
    
    
      
            
    
    
      
            
    
    
      
            
    
    
      
            
    
    
      