Linganisha mbinu

	Utohozi wa Kitakwimu wa Kibayesi	Factor Analysis
Nyanja	Takwimu za Utafiti	Takwimu za Utafiti
Familia	Process / pipeline	Process / pipeline
Mwaka wa asili	1763	1931
Mwanzilishi	Thomas Bayes	Louis Leon Thurstone
Aina	Method	Method
Chanzo asilia	Bayes, T. (1763). An essay towards solving a problem in the doctrine of chances. Philosophical Transactions of the Royal Society, 53, 370–418.	Thurstone, L. L. (1947). Multiple Factor Analysis. University of Chicago Press.
Majina mbadala	Bayes theorem, Bayesian inference, posterior probability	EFA, CFA, latent variable modeling
Zinazohusiana	3	3
Muhtasari	Bayesian inference is a statistical framework using Bayes' theorem to update beliefs about parameters or hypotheses as data accumulate. Published posthumously in 1763, Thomas Bayes' work lay dormant until the 20th century, when computational advances (Gibbs sampling, Markov Chain Monte Carlo) made Bayesian methods practical. Unlike frequentist inference (which treats parameters as fixed unknowns), Bayesian analysis treats parameters as random variables with probability distributions, enabling direct probability statements about parameters, incorporation of prior knowledge, and sequential updating. Essential in precision medicine, adaptive trials, complex hierarchical models, and any context where prior information enriches inference.	Factor analysis is a statistical technique for identifying latent (unobserved) dimensions underlying observed variables, developed by Louis Leon Thurstone in the 1930s and formalized by Jöreskog (1969). Exploratory factor analysis (EFA) discovers unknown factor structure from data; confirmatory factor analysis (CFA) tests hypothesized relationships between observed and latent variables. Essential in psychometrics (test development), organizational research (measuring constructs like leadership style), and biomedicine (identifying disease subtypes), factor analysis reduces dimensionality while revealing conceptual organization in multivariate data.