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CORRELATION AND
DECISION TREE INDUCTION
B. SOUNDARYA M.SC (CS),
NADAR SARASWATHI
COLLEGE OF ARTS AND
SCIENCE, THENI.
CORRELATION
• Correlation is the degree of inter-relatedness
among the two or more variables.
• Correlation analysis is a process to find out
the degree of relationship between two or
more variables by applying various statistical
tools and tecniques.
THREE STAGES TO SOLVE
CORRELATION PROBLEM
•Determination of relationship,
if yes, measure it.
•Significance of correlation.
•Establishing the cause and
effect relationship , if any
USES OF CORRELATION
ANALYSIS
• It is used in deriving the degree and direction
of relationship within the variables.
• It is used in reducing the range of
uncertainty in matter of prediction.
• It I used in presenting the average
relationship between any two variables
through a single value of coefficient of
correlation.
IMPORTANCE OF CORRELATION
ANALYSIS
•Measures the degree of
relation.
•Estimating values of
variables.
•Helps in understanding
economic behavior.
DECISION TREE
• Classification is a most familiar and most
popular data mining technique.
• Classification applications includes images and
pattern recognition, loan approval, detecting
faults in industrial applications.
• All approaches to performing classification
assumes some knowledge of the data.
• Training set is used to develop specific
parameters required by the techniques.
DECISION TREE ALGORITHM
• INPUT
T
D
• OUTPUT
M
• DT Proc algorithm:
for each t € D do
Obtain answer to question on n applied t;
Identify are from I which contains correct answer;
N=node at end of this arc;
Make prediction for I based on labeling of n;
ALGORITHM DEFINITON
• The decision tree approach is most useful in
classification problems, with this technique, a
tree is constructed to model the
classification process.
• Once the tree is build, it is applied to each
tuple in the database and results in a
classification for that tuple.
• There are two basics step in this technique:
Building the tree and applying the tree to
the database.
ADVANTAGES OF DECISION
TREE
•Easy to understand
•Easy to generate
rules
DISADVANTAGES OF DECISION
TREE
• May suffer from over fitting.
• Classifies by rectangular
partitioning.
• Does not easily handle nonnumeric
data.
• Can be quite large– pruning in
necessary.
EXAMPLE
• The classification of an unknown input vector
is done by traversing the tree from the root
node of the leaf node.
• E.g : outlook=rain, temp=70,humanity=65, and
weather=true…. Then find the value of class
attribute???????
TREE CONSTRUCTION
PRINCIPLE
• Splitting Attribute
• Splitting Criterion
• 3 main phases:
• Construction phase
• Pruning phase
• Processing the pruned tree to improve the
understandability.
DECISION TREE CONSTRUCTION
ALGORITHM
• CART (CLASSIFICATION AND
REGRESSION TREE)
• ID 3(
ITERATIVEDICHOTOMIZWER 3)
• C 4.5
THANK YOU!!!

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Dm

  • 1. CORRELATION AND DECISION TREE INDUCTION B. SOUNDARYA M.SC (CS), NADAR SARASWATHI COLLEGE OF ARTS AND SCIENCE, THENI.
  • 2. CORRELATION • Correlation is the degree of inter-relatedness among the two or more variables. • Correlation analysis is a process to find out the degree of relationship between two or more variables by applying various statistical tools and tecniques.
  • 3. THREE STAGES TO SOLVE CORRELATION PROBLEM •Determination of relationship, if yes, measure it. •Significance of correlation. •Establishing the cause and effect relationship , if any
  • 4. USES OF CORRELATION ANALYSIS • It is used in deriving the degree and direction of relationship within the variables. • It is used in reducing the range of uncertainty in matter of prediction. • It I used in presenting the average relationship between any two variables through a single value of coefficient of correlation.
  • 5. IMPORTANCE OF CORRELATION ANALYSIS •Measures the degree of relation. •Estimating values of variables. •Helps in understanding economic behavior.
  • 6. DECISION TREE • Classification is a most familiar and most popular data mining technique. • Classification applications includes images and pattern recognition, loan approval, detecting faults in industrial applications. • All approaches to performing classification assumes some knowledge of the data. • Training set is used to develop specific parameters required by the techniques.
  • 7. DECISION TREE ALGORITHM • INPUT T D • OUTPUT M • DT Proc algorithm: for each t € D do Obtain answer to question on n applied t; Identify are from I which contains correct answer; N=node at end of this arc; Make prediction for I based on labeling of n;
  • 8. ALGORITHM DEFINITON • The decision tree approach is most useful in classification problems, with this technique, a tree is constructed to model the classification process. • Once the tree is build, it is applied to each tuple in the database and results in a classification for that tuple. • There are two basics step in this technique: Building the tree and applying the tree to the database.
  • 9. ADVANTAGES OF DECISION TREE •Easy to understand •Easy to generate rules
  • 10. DISADVANTAGES OF DECISION TREE • May suffer from over fitting. • Classifies by rectangular partitioning. • Does not easily handle nonnumeric data. • Can be quite large– pruning in necessary.
  • 11. EXAMPLE • The classification of an unknown input vector is done by traversing the tree from the root node of the leaf node. • E.g : outlook=rain, temp=70,humanity=65, and weather=true…. Then find the value of class attribute???????
  • 12. TREE CONSTRUCTION PRINCIPLE • Splitting Attribute • Splitting Criterion • 3 main phases: • Construction phase • Pruning phase • Processing the pruned tree to improve the understandability.
  • 13. DECISION TREE CONSTRUCTION ALGORITHM • CART (CLASSIFICATION AND REGRESSION TREE) • ID 3( ITERATIVEDICHOTOMIZWER 3) • C 4.5