Unit ibp801 t l multiple correlation a24022022

Unit 1 BP801T Multiple correlation

1. Multiple correlation
coefficient
Dr. Ashish Suttee, M.Pharm., MBAHCS., PGD Stat., Ph.D. 1

2. 1.Themultiplecorrelationcoefficientdenotingacorrelationofonevariablewithmultiple
othervariables.
2.ThemultiplecorrelationcoefficientisdenotedasR
1.234...kwhichdenotesthat1is
correlatedwith2,3,4,uptokvariables.Forexample,wewanttocomputemultiple
correlationbetween1with2and3thenitisexpressedasR
1.23.Inthiscasewecreatea
linearcombinationofthe2and3whichiscorrelatedwith1.
Dr. Ashish Suttee, M.Pharm., MBAHCS., PGD Stat., Ph.D. 2

3. 3.Wecontinuewiththesameexamplewhichwehavediscussedforpartialand
semipartialcorrelations.
4.Thisexamplehasacademicachievement,anxietyandintelligenceasthree
variables.
5.Thecorrelationbetweenacademicachievementwiththelinearcombinationof
anxietyandintelligenceismultiplecorrelation.
Dr. Ashish Suttee, M.Pharm., MBAHCS., PGD Stat., Ph.D. 3

4. Whatdoesmultiplecorrelationtellus?
Amultiplecorrelationcoefficient(R)yieldsthemaximumdegreeofliner
relationshipthatcanbeobtainedbetweentwoormoreindependentvariablesanda
singledependentvariable.
Dr. Ashish Suttee, M.Pharm., MBAHCS., PGD Stat., Ph.D. 4

5. Whatisthedifferencebetweensimpleandmultiplecorrelation?
Thedistinctionbetweensimple,partialandmultiplecorrelationisbaseduponthe
numberofvariablesstudied.Whenonlytwovariablesarestudieditisaproblemof
simplecorrelation.Inmultiplecorrelationthreeormorevariablesarestudied
simultaneously.
Dr. Ashish Suttee, M.Pharm., MBAHCS., PGD Stat., Ph.D. 5

6. Howdoyoucorrelatemultiplevariables?
OnewaytoquantifytherelationshipbetweentwovariablesistousethePearson
correlationcoefficient,whichisameasureofthelinearassociationbetweentwo
variables.Italwaystakesonavaluebetween-1and1where:-1indicatesaperfectly
negativelinearcorrelationbetweentwovariables
Dr. Ashish Suttee, M.Pharm., MBAHCS., PGD Stat., Ph.D. 6

7. Whataretheusesofmultiplecorrelation?
Amultiplecorrelationcoefficient(R)yieldsthemaximumdegreeofliner
relationshipthatcanbeobtainedbetweentwoormoreindependentvariablesanda
singledependentvariable.
Dr. Ashish Suttee, M.Pharm., MBAHCS., PGD Stat., Ph.D. 7

8. Dr. Ashish Suttee, M.Pharm., MBAHCS., PGD Stat., Ph.D. 8