Reading and Writing Data for Confirmatory Factor Analysis

Confirmatory Factor Analysis

Confirmatory factor analysis (CFA) is a multivariate statistical procedure that is used to exam how well the measured variables represent the number of constructs.  Confirmatory factor analysis (CFA) and exploratory factor analysis (EFA) are similar techniques, but in exploratory factor analysis (EFA), data is simply explored and provides information about the numbers of factors required to represent the data. In exploratory factor assay, all measured variables are related to every latent variable.  Simply in confirmatory factor analysis (CFA), researchers tin specify the number of factors required in the data and which measured variable is related to which latent variable.  Confirmatory factor assay (CFA) is a tool that is used to confirm or reject the measurement theory.

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General Purpose – Process

1. Defining individual construct: First, we accept to define the individual constructs. The first footstep involves the procedure that defines constructs theoretically. This involves a pretest to evaluate the construct items, and a confirmatory test of the measurement model that is conducted using confirmatory factor analysis (CFA), etc.
2. Developing the overall measurement model theory: In confirmatory cistron analysis (CFA), we should consider the concept of unidimensionality between construct error variance and inside construct error variance.  At least iv constructs and 3 items per constructs should exist nowadays in the research.
3. Designing a written report to produce the empirical results: The measurement model must exist specified.  Nearly usually, the value of one loading guess should be one per construct.  Two methods are available for identification; the first is rank status, and the second is lodge status.
4. Assessing the measurement model validity: Assessing the measurement model validity occurs when the theoretical measurement model is compared with the reality model to see how well the data fits. To check the measurement model validity, the number of the indicator helps the states.  For example, the factor loading latent variable should be greater than 0.7.  Chi-square examination and other goodness of fit statistics like RMR, GFI, NFI, RMSEA, SIC, BIC, etc., are some key indicators that help in measuring the model validity.

Questions a CFA answers

From my 20 question instrument, are the five factors clearly identifiable constructs as measured past the 4 questions that they are comprised of?

Exercise my 4 survey questions accurately mensurate one factor?

Assumptions

The assumptions of a CFA include multivariate normality, a sufficient sample size (n >200), the correct a priori model specification, and data must come from a random sample.

Key Terms:

• Theory: A systematic ready of causal relationships that provide the comprehensive explanation of a phenomenon.
• Model: A specified set up of dependent relationships that can be used to test the theory.
• Path assay: Used to test structural equations.
• Path diagram: Shows the graphical representation of crusade and effect relationships of the theory.
• Endogenous variable: The resulting variables that are a causal human relationship.
• Exogenous variable: The predictor variables.
• Confirmatory analysis: Used to test the pre-specified relationship.
• Cronbach'due south blastoff: Used to mensurate the reliability of two or more construct indicators.
• Identification: Used to examination whether or not there are a sufficient number of equations to solve the unknown coefficient.  Identifications are of three types: (ane) under-identified, (two) exact identified, and (three) over-identified.
• Goodness of fit: The degree to which the observed input matrix is predicted by the estimated model.
• Latent variables: Variables that are inferred, non direct observed, from other variables that are observed.

Confirmatory factor analysis (CFA) and statistical software:

Usually, statistical software like AMOS, LISREL, EQS and SAS are used for confirmatory factor assay.  In AMOS, visual paths are manually fatigued on the graphic window and analysis is performed. In LISREL, confirmatory factor analysis can exist performed graphically likewise as from the menu.  In SAS, confirmatory cistron assay can exist performed by using the programming languages.

Related Pages:

• Exploratory Cistron Analysis
• Sample Size
• SPSS Manual

To Reference This Folio:

Statistics Solutions. (2013). Confirmatory Factor Analysis . Retrieved from https://www.statisticssolutions.com/academic-solutions/resource/directory-of-statistical-analyses/confirmatory-cistron-assay/

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