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# COEFFICIENT OF CORRELATION.pptx   ×

# COEFFICIENT OF CORRELATION.pptx

Coefficient of correlation meaning, definition, types of correlation, methods for calculating coefficient of correlation, Karl Pearson coefficient formula, spearman rank correlation, correlation coefficient properties

Coefficient of correlation meaning, definition, types of correlation, methods for calculating coefficient of correlation, Karl Pearson coefficient formula, spearman rank correlation, correlation coefficient properties

### COEFFICIENT OF CORRELATION.pptx

1. 1. S U B M IT T E D B Y C .H E N A J O IC E 7 2 0 8 2 2 2 0 8 0 2 4 I M B A
2. 2. DEFINITION  A C O R R E L AT I O N C O E F F I C I E N T I S A S TAT I S T I C A L M E A S U R E O F T H E D E G R E E TO W H I C H C H A N G E S TO T H E VA L U E O F O N E VA R I A B L E P R E D I C T C H A N G E TO T H E VA L U E O F A N O T H E R  A C O R R E L AT I O N C A N O N LY I N D I C AT E T H E P R E S E N C E O R A B S E N C E O F A R E L AT I O N S H I P, N O T T H E N AT U R E O F T H E R E L AT I O N S H I P. C O R R E L AT I O N
3. 3. TYPES OF CORRELATION POSITIVE AND NEGATIVE CORRELATION LINEAR AND NON -LINEAR CORRELATION SIMPLE, MULTIPLE AND PARTIAL CORRELATION
4. 4. POSITIVE CORRELATION W H E N T H E VA L U E S O F T W O VA R I A B L E S M O V E S A M E D I R E C T I O N , C O R R E L AT I O N I S S A I D TO B E P O S I T I V E . E G . T E M P E R AT U R E A N D V O L U M E NEGATIVE CORRELATION W H E N T H E VA L U E S O F T W O VA R I A B L E S M O V E S O P P O S I T E D I R E C T I O N , C O R R E L AT I O N I S S A I D TO B E N E G AT I V E . E G . P R E S S U R E A N D V O L U M E
5. 5. LINEAR CORRELATION W H E N T H E A M O U N T O F C H A N G E I N O N E VA R I A B L E L E A D S TO A C O N S TA N T R AT I O O F C H A N G E I N T H E O T H E R VA R I A B L E , C O R R E L AT I O N I S S A I D TO B E L I N E A R . NON LINEAR CORRELATION C O R R E L AT I O N I S S A I D TO B E N O N L I N E A R ( C U RV E L I N E A R ) W H E N T H E A M O U N T O F C H A N G E I N O N E VA R I A B L E I S N O T I N C O N S TA N T R AT I O TO T H E C H A N G E I N T H E O T H E R VA R I A B L E .
6. 6. SIMPLE CORRELATION I N T H E S T U D Y O F R E L AT I O N S H I P B E T W E E N T H E VA R I A B L E S , I F T H E R E A R E O N LY T W O VA R I A B L E S , T H E C O R R E L AT I O N I S S A I D TO B E S I M P L E . MULTIPLE CORRELATION I N T H E S T U D Y O F M U LT I P L E C O R R E L AT I O N W E M E A S U R E T H E D E G R E E O F A S S O C I AT I O N B E T W E E N O N E VA R I A B L E O N O N E S I D E A N D A L L T H E O T H E R VA R I A B L E TO G E T H E R O N T H E O T H E R S I D E .
7. 7. PARTIAL CORRELATION I N PA RT I A L C O R R E L AT I O N W E S T U D Y T H E R E L AT I O N S H I P O F O N E VA R I A B L E W I T H O N E O F T H E O T H E R VA R I A B L E S P R E S U M I N G T H AT T H E O T H E R VA R I A B L E R E M A I N S C O N S TA N T.
8. 8. METHODS FOR CALCULATING COEFFICIENT OF CORRELATION KARL PEARSON’S METHOD SPEARMAN’S METHOD CONCURRENT DEVIATION METHOD
9. 9. KARL PEARSON’S CORRELATION COEFFICIENT FORMULA: T H E C O E F F I C I E N T C O R R E L AT I O N B E T W E E N X A N D Y I S D E F I N E D A S : W H E N A C T U A L D ATA I S G I V E N C O R R E L AT I O N A N D R E G R E S S I O N :
10. 10. SPEARMAN’S RANK CORRELATION R = R A N K C O R R E L AT I O N C O E F F I C I E N T N = N U M B E R O F O B S E RVAT I O N S D = D I F F E R E N C E B E T W E E N 2 R A N K S ( R 1 - R 2 )
11. 11. Correlation Coefficient properties 1) Correlation coefficient remains in the same measurement as in which the two variables are. 2) The sign which correlations of coefficient have will always be the same as the variance. 3) The numerical value of correlation of coefficient will be in between -1 to + 1. It is known as real number value. 4) The negative value of coefficient suggests that the correlation is strong and negative. And if ‘r’ goes on approaching toward -1 then it means that the relationship is going towards the negative side. When ‘r’ approaches to the side of + 1 then it means the relationship is strong and positive. By this we can say that if +1 is the result of the correlation then the relationship is in a positive state. 5) The weak correlation is signaled when the coefficient of correlation approaches to zero. When ‘r’ is near about zero then we can deduce that the relationship is weak. 6) Correlation coefficient can be very dicey because we cannot say that the participants are truthful or not
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