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Correlation study
By Dr. Neha Deo
• Correlation study determines the extent of
relationship between variables.
• Such studies are used to obtain description
of existing phenomenon & enable
researcher to ascertain extent to which
variations in one variable are associated with
the variation in the other variable.
One can find correlation between
• Intelligence & achievement in mathematics
• Intelligence & achievement in Science
• Interest & achievement
• Interest & attitude
• Interest & aptitude
• Attitude & aptitude
Identifying & defining the problem
Formulating the Hypothesis
Selection of the sample
Selection of the design & collection of data
Analysis –finding the co-efficient of correlation &
Interpretation
Writing the research report
• Direction of the correlation may be positive or
negative.
• Multiple or partial correlation can also be found
out.
Interpretation of the correlation obtained between
two variables depends upon -
Degree of the magnitude (value)
Sign
Statistical significance of the magnitude.
• Coefficient of Correlation is just a
number & not percentage.
• Coefficient of correlation gives
quantitative determination of the degree
of relationship. It doesn't necessarily
indicates cause & effect relationship.
???
Increase in the first variable is associated with
the increase in the other variable-This is a
positive relation.
Increase in the first variable is associated
with the decrease in the other variable-
This is a negative relation.
Increase in the first variable
couldn't predict anything about the
other variable. This is zero relation.
Interpretation of the value of correlation.
• “ -1” complete negative
• “0 to -0.9” negative
• “0” No relation .
• “0 to +0.9” Positive
• “+1” complete positive
VALUE OF COEFFICIENT OF CORRELATION INTERPETATION
0 TO +0.19 0 TO -0.19 VERY LOW-
NEGLIGIBLE
+0.20 TO + 0.39 -0.20 TO - 0.39 LOW
+0.40 TO +0.59 -0.40 TO -0.59 MEDIUM
+0.60 TO + 0.89 -0.60 TO - 0.89 GOOD
+.0.90 & ABOVE -0.90 & ABOVE EXCELLENT
+1.00 -1.00 COMPLETE
From the correlation one can predict the following
1) One Attribute from another Attribute-
e.g. Morality from family background.
2)Attribute from measurement-
e.g. Morality from I.Q.
3)Measurement from Measurement-
e.g. Academic achievement from I.Q.
Non Parametric
method-Spearman
rank difference
method -Rho Parametric
method-Pearson
product moment
method-r
Correlation study-by Dr. Neha Deo

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Correlation study-by Dr. Neha Deo

  • 2. • Correlation study determines the extent of relationship between variables. • Such studies are used to obtain description of existing phenomenon & enable researcher to ascertain extent to which variations in one variable are associated with the variation in the other variable.
  • 3. One can find correlation between • Intelligence & achievement in mathematics • Intelligence & achievement in Science • Interest & achievement • Interest & attitude • Interest & aptitude • Attitude & aptitude
  • 4. Identifying & defining the problem Formulating the Hypothesis Selection of the sample Selection of the design & collection of data Analysis –finding the co-efficient of correlation & Interpretation Writing the research report
  • 5. • Direction of the correlation may be positive or negative. • Multiple or partial correlation can also be found out. Interpretation of the correlation obtained between two variables depends upon - Degree of the magnitude (value) Sign Statistical significance of the magnitude.
  • 6. • Coefficient of Correlation is just a number & not percentage. • Coefficient of correlation gives quantitative determination of the degree of relationship. It doesn't necessarily indicates cause & effect relationship.
  • 7. ??? Increase in the first variable is associated with the increase in the other variable-This is a positive relation. Increase in the first variable is associated with the decrease in the other variable- This is a negative relation. Increase in the first variable couldn't predict anything about the other variable. This is zero relation.
  • 8. Interpretation of the value of correlation. • “ -1” complete negative • “0 to -0.9” negative • “0” No relation . • “0 to +0.9” Positive • “+1” complete positive
  • 9. VALUE OF COEFFICIENT OF CORRELATION INTERPETATION 0 TO +0.19 0 TO -0.19 VERY LOW- NEGLIGIBLE +0.20 TO + 0.39 -0.20 TO - 0.39 LOW +0.40 TO +0.59 -0.40 TO -0.59 MEDIUM +0.60 TO + 0.89 -0.60 TO - 0.89 GOOD +.0.90 & ABOVE -0.90 & ABOVE EXCELLENT +1.00 -1.00 COMPLETE
  • 10. From the correlation one can predict the following 1) One Attribute from another Attribute- e.g. Morality from family background. 2)Attribute from measurement- e.g. Morality from I.Q. 3)Measurement from Measurement- e.g. Academic achievement from I.Q.
  • 11. Non Parametric method-Spearman rank difference method -Rho Parametric method-Pearson product moment method-r