chapter 16-17 - correlation regression latest.ppt

7/25/2019 Chapter 16-17 - Correlation Regression latest.ppt

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MPU1034

Application of

Statistic in Educational Research

Dr. Norazrena Abu Samah

Office: M39 in! Anorazrena"utm.m#

$%9&'%$39$3
mailto:[email protected]:[email protected]


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Chapter 16: Correlation


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Correlations: Measuring an !es"ribing#elationships

( $ "orrelation is a statisti"al methouse to measure an es"ribe the

relationship between two variables.( $ relationship e%ists when "hanges in

one variable ten to be a""ompanie

by "onsistent an prei"table"hanges in the other variable.


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Correlations: Measuring an!es"ribing #elationships

( $ "orrelation typi"ally evaluatesthree aspe"ts o& the relationship:) the ire"tion) the &orm) the egree


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( 'he directiono& the relationship ismeasure by the sign o& the

"orrelation () or *+. $ positive"orrelation means that the twovariables ten to "hange in the sameire"tion, as one in"reases- the otheralso tens to in"rease.


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( 'he most "ommon formo&relationship is a straight line or linearrelationship whi"h is measure bythe Pearson "orrelation.




( 'he degreeo& relationship (thestrength or "onsisten"y o& therelationship+ is measure by thenumeri"al value o& the "orrelation. $value o& 1.00 ini"ates a per&e"t

relationship an a value o& eroini"ates no relationship.




( 'o "ompute a "orrelation you neetwo s"ores- / an - &or ea"h

iniviual in the sample.( 'he Pearson "orrelation reuires thatthe s"ores be numeri"al values &rom

an interval or ratio s"aleo&measurement.



'he Pearson Correlation



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#eporting

( $ "orrelation &or the ata revealethat s"ore sub7e"t / an s"oresub7e"t were not signi8"antly

relate- r90.6- n9; - < 9 0.0; twotails.



Chapter 1=: ntrou"tion to

#egression



ntrou"tion to >inear#egression

( 'he Pearson "orrelation measuresthe egree to whi"h a set o& atapoints &orm a straight line

relationship.( Regressionis a statisti"al

pro"eure that etermines the

euation &or the straight line thatbest 8ts a spe"i8" set o& ata.



ntrou"tion to >inear #egression("ont.+

( $ny straight line "an be representeby an euation o& the &orm 9 b/ )a- where b an a are "onstants.

( 'he value o& bis "alle the slope"onstant an etermines the ire"tionan egree to whi"h the line is tilte.

( 'he value o& ais "alle the*inter"eptan etermines the point where theline "rosses the *a%is.



ntrou"tion to >inear #egression("ont.+

'he euation &or the regression line is


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ntrou"tion to Multiple #egressionwith 'wo Prei"tor ?ariables ("ont.+

( @or two prei"tor variables- the general &ormo& the multiple regression euation is:

A9 b1/1 ) bB/B ) a

( 'he ability o& the multiple regressioneuation to a""urately prei"t the valuesis measure by 8rst "omputing theproportion o& the *s"ore variability that isprei"te by the regression euation anthe proportion that is not prei"te.


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chapter 16-17 - correlation regression latest.ppt

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