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		<title>User: Created page with &quot;'''Confirmatory Factor Analysis (CFA)''' is a statistical technique used in the field of psychometrics to verify the factor structure of a set of observed variables. Unlike ex...&quot;</title>
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		<updated>2023-09-01T18:10:54Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;#039;&amp;#039;&amp;#039;Confirmatory Factor Analysis (CFA)&amp;#039;&amp;#039;&amp;#039; is a statistical technique used in the field of psychometrics to verify the factor structure of a set of observed variables. Unlike ex...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;'''Confirmatory Factor Analysis (CFA)''' is a statistical technique used in the field of psychometrics to verify the factor structure of a set of observed variables. Unlike exploratory factor analysis, which allows the data itself to reveal the underlying structure, CFA tests a pre-specified factor model to see how well it fits the observed data.&lt;br /&gt;
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== History ==&lt;br /&gt;
The development of Confirmatory Factor Analysis is closely tied to the evolution of Structural Equation Modeling (SEM). Jöreskog was a seminal figure in formalizing the method as a way to validate factor structures suggested by exploratory factor analysis or theoretical constructs.&lt;br /&gt;
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== Key Concepts ==&lt;br /&gt;
Factors: Factors are latent variables that explain the correlations or covariances among observed variables.&lt;br /&gt;
*Factor Loadings: Factor loadings are the coefficients that indicate the relationship between each observed variable and the underlying factor.&lt;br /&gt;
*Error Terms: Error terms account for the variability in observed variables not explained by the factors.&lt;br /&gt;
*Model Specification: In CFA, researchers must a priori specify which observed variables are related to which factors. This is typically based on theoretical considerations or previous research.&lt;br /&gt;
*Model Estimation: Various methods can be used for estimating the model parameters, such as maximum likelihood, generalized least squares, or weighted least squares.&lt;br /&gt;
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== Model Evaluation ==&lt;br /&gt;
*Goodness-of-Fit: Several goodness-of-fit indices exist to evaluate how well the model fits the data, including Chi-square, Root Mean Square Error of Approximation (RMSEA), Comparative Fit Index (CFI), and Tucker-Lewis Index (TLI).&lt;br /&gt;
*Modification Indices: Modification indices can be inspected to identify paths or constraints that, if changed, would improve the model fit.&lt;br /&gt;
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== Applications ==&lt;br /&gt;
*Psychology: CFA is widely used in psychology to confirm the validity of constructs like intelligence, self-esteem, and many others.&lt;br /&gt;
*Business: In business, CFA can be used to validate the structure of customer satisfaction surveys, organizational climate scales, and more.&lt;br /&gt;
*Healthcare: In healthcare, it is often employed to validate measurement instruments such as health-related quality of life scales.&lt;br /&gt;
*Software Tools: Several statistical software packages can perform CFA, including SPSS Amos, Mplus, and R packages like lavaan.&lt;br /&gt;
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== Limitations ==&lt;br /&gt;
*Requires large sample sizes for stable and reliable estimates.&lt;br /&gt;
*It is confirmatory in nature, meaning it doesn't allow for the discovery of unexpected or novel structures in the data.&lt;br /&gt;
*Assumes linear relationships between factors and observed variables.&lt;br /&gt;
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== See Also ==&lt;br /&gt;
*[[Exploratory Factor Analysis (EFA)]]&lt;br /&gt;
*[[Structural Equation Modeling (SEM)]]&lt;br /&gt;
*[[Psychometrics]]&lt;br /&gt;
*[[Path Analysis]]&lt;br /&gt;
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		<author><name>User</name></author>
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