CORRELATION ANALYSIS CORRELATION ANALYSIS It is a statistical measure which It is a statistical measure which shows relationship between two or shows relationship between two or more variable moving in the same or more variable moving in the same or in opposite direction in opposite direction 04/21/22 04/21/22 1 anilmishra5555@rediffmail anilmishra5555@rediffmail .com .com
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CORRELATION CORRELATION ANALYSISANALYSIS
It is a statistical measure It is a statistical measure which shows relationship which shows relationship
between two or more variable between two or more variable moving in the same or in moving in the same or in
Visual Displays and Visual Displays and Correlation AnalysisCorrelation Analysis
• The The sample correlation coefficientsample correlation coefficient ( (rr) ) measures the degree of linearity in the measures the degree of linearity in the relationship between relationship between XX and and YY..
-1 -1 << rr << +1 +1
• rr = 0 indicates no linear relationship = 0 indicates no linear relationship
• In Excel, use =CORREL(array1,array2), In Excel, use =CORREL(array1,array2), where array1 is the range for where array1 is the range for XX and array2 is and array2 is the range for the range for YY..
methods A & B of teaching. He selected a random sample of 22 students. He grouped them into 11 pairs so that the students in a pair have approximately equal scores in an intelligence test. In each pair one student was taught by method A and the other by method B and examined after the course. The marks obtained by them as follows
series16 Bin and twicerepeated are 30& 19 items theseriesA in
2
R
Properties of correlation Properties of correlation coefficientcoefficient
• r always lies between +1 & -1r always lies between +1 & -1i.e. -1<r<+1 i.e. -1<r<+1 • Two independent variables are Two independent variables are
uncorrelated but converse is not true uncorrelated but converse is not true • r is independent of change in origin and r is independent of change in origin and
scalescale• r is the G.M. of two regression r is the G.M. of two regression
coefficientscoefficients• r is symmetricalr is symmetrical