Factor Analysis
Factor analysis is a vital tool in data research for evaluating the psychometric quality of measures, reducing data, and understanding latent constructs. This method simplifies the assessment of underlying dimensions and facilitates a deeper understanding of complex variables, enhancing research outcomes.
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Factor Analysis Prof. (Dr.) Risil Chhatrala Department of Electronics and Telecommunication International Institute of Information Technology, I IT www.isquareit.edu.in 1
Factor Analysis Factor analysis is commonly used in: Data reduction Scale development The evaluation of the psychometric quality of a measure, and The assessment of the dimensionality of a set of variables. International Institute of Information Technology, I IT, P-14, Rajiv Gandhi Infotech Park, Hinjawadi Phase 1, Pune - 411 057 Phone - +91 20 22933441/2/3 | Website - www.isquareit.edu.in | Email - info@isquareit.edu.in 2
Constructs : unobservable latent variables Teaching Effectiveness. product quality Physical aptitude Motivation democracy Love reliability/power. Hate care Altruism Anxiety Worry Stress International Institute of Information Technology, I IT, P-14, Rajiv Gandhi Infotech Park, Hinjawadi Phase 1, Pune - 411 057 Phone - +91 20 22933441/2/3 | Website - www.isquareit.edu.in | Email - info@isquareit.edu.in 3
construct may include several dimensions Factor analysis measures not directly observable constructs by measuring several of its underlying dimensions. The identification of such underlying dimensions (factors) simplifies the understanding and description of complex constructs. International Institute of Information Technology, I IT, P-14, Rajiv Gandhi Infotech Park, Hinjawadi Phase 1, Pune - 411 057 Phone - +91 20 22933441/2/3 | Website - www.isquareit.edu.in | Email - info@isquareit.edu.in 4
Factor Analysis: The Measurement Model D1 D2 D3 D5 D7 D4 D6 D8 F1 F2
Factor Analysis Find a small number of factors z, which when combined generate x : xi i= vi1z1+ vi2z2+ ... + vikzk+ i where zj, j =1,...,k are the latent factors with E[ zj ]=0, Var(zj)=1, Cov(zi ,, zj)=0, i j , iare the noise sources E[ i]= i, Cov( i, j) =0, i j, Cov( i, zj) =0 , and vijare the factor loadings 6
Thank you!! International Institute of Information Technology, I IT, P-14, Rajiv Gandhi Infotech Park, Hinjawadi Phase 1, Pune - 411 057 Phone - +91 20 22933441/2/3 | Website - www.isquareit.edu.in | Email - info@isquareit.edu.in 7
Prof. (Dr.) Risil Chhatrala Associate Professor in Department of Electronics and Telecommunication International Institute of Information Technology (I IT), Pune risilc@isquareit.edu.in International Institute of Information Technology, I IT, P-14, Rajiv Gandhi Infotech Park, Hinjawadi Phase 1, Pune - 411 057 Phone - +91 20 22933441/2/3 | Website - www.isquareit.edu.in | Email - info@isquareit.edu.in 8
