Transcription of Factor Analysis Example - Harvard University
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Factor Analysis Example - Harvard University
Factor Analysis Example Qian-Li Xue Biostatistics Program Harvard Catalyst | The Harvard Clinical & Translational Science Center Short course, October 28, 2016 1 Example : Frailty Frailty is a biologic syndrome of decreased reserve and resistance to stressors, resulting from cumulative declines across multiple physiologic systems, and causing vulnerability to adverse outcomes (Fried et al. 2001) Common phenotypes of frailty in geriatrics include weakness, fatigue, weight loss, decreased balance, low levels of physical activity, slowed motor processing and performance, social withdrawal, mild cognitive changes, and increased vulnerability to stressors (Walston et al. 2006) 2 Example : Frailty Manifest Variables of Frailty: Body composition: Arm circumference Body mass index Tricep skinfold thickness Slowed motor processing and performance: Speed of fast walk Speed of Pegboard test Speed of usual walk Time to do chair stands Muscle Strength: Grip strength Knee extension Hip extension 3 Recap of Basic Characteristics of Exploratory Factor Analysis (EFA) Most EFA extract orthogonal factors, which may not be a reasonable assumption Distinction between common and unique variances EFA is underidentified ( no unique solution) Remember rotation?
Use Principal Components Analysis (PCA) to help decide ! Similar to “factor” analysis, but conceptually quite different! ! number of “factors” is equivalent to number of variables ! each “factor” or principal component is a weighted combination of the input variables Y 1 …. Y n: P 1 = a 11Y 1 + a 12Y 2 + …. a 1nY n
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