Transcription of Latent Class Analysis - Harvard University
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Latent Class Analysis Karen Bandeen-Roche October 27, 2016. Objectives For you to leave here knowing . When is Latent Class Analysis (LCA) model useful? What is the LCA model its underlying assumptions? How are LCA parameters interpreted? How are LCA parameters commonly estimated? How is LCA fit adjudicated? What are considerations for identifiability / estimability? Motivating Example Frailty of Older Adults the sixth age shifts into the lean and slipper'd pantaloon, with spectacles on nose and pouch on side, his youthful hose well sav'd, a world too wide, for his shrunk shank . -- Shakespeare, As You Like It . The Frailty Construct Fried et al., J Gerontol 2001; Bandeen-Roche et al.
Latent class (binary Y) •Latent class analysis (measurement only) • Parameter dimension: 2M-1 • Unconstrained J-class model: J-1 + J*M • Need 2M ≥ J(M+1) (necessary, not sufficient) •Local identifiability: evaluate the Jacobian of the likelihood function (Goodman, 1974) •Estimability: Avoid fewer than 10 allocation per “cell”
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