From 9f7ff54b853751798edd925af0f6ecdc436086f0 Mon Sep 17 00:00:00 2001 From: "Isaac T. Petersen" Date: Sun, 3 Nov 2024 08:59:15 -0600 Subject: [PATCH] 20241103 - many decisions in factor analysis --- 15-Factor-Analysis-PCA.Rmd | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/15-Factor-Analysis-PCA.Rmd b/15-Factor-Analysis-PCA.Rmd index dc48a9a96..05b9711d8 100644 --- a/15-Factor-Analysis-PCA.Rmd +++ b/15-Factor-Analysis-PCA.Rmd @@ -10,7 +10,7 @@ It aims to identify the optimal latent structure for a group of variables.\index [*Confirmatory factor analysis*](#cfa) (CFA) is a latent variable modeling approach that is used when a researcher wants to evaluate how well a hypothesized model fits, and the model can be examined in comparison to alternative models.\index{factor analysis!confirmatory}\index{latent variable} Using a [CFA](#cfa) approach, the researcher can pit models representing two theoretical frameworks against each other to see which better accounts for the observed data.\index{factor analysis!confirmatory} -[Factor analysis](#factorAnalysis) is considered to be a "pure" data-driven method for identifying the structure of the data, but the "truth" that we get depends heavily on the decisions we make regarding the parameters of our [factor analysis](#factorAnalysis).\index{factor analysis!confirmatory} +[Factor analysis](#factorAnalysis) is considered to be a "pure" data-driven method for identifying the structure of the data, but the "truth" that we get depends heavily on the decisions we make regarding the parameters of our [factor analysis](#factorAnalysis) [@Floyd1995; @Sarstedt2024].\index{factor analysis!confirmatory} The goal of [factor analysis](#factorAnalysis) is to identify simple, parsimonious factors that underlie the "junk" (i.e., scores filled with measurement error) that we observe.\index{parsimony}\index{factor analysis!confirmatory} It used to take a long time to calculate a [factor analysis](#factorAnalysis) because it was computed by hand.\index{factor analysis!confirmatory} @@ -53,7 +53,7 @@ Another class of [factor analysis](#factorAnalysis) models are [higher-order](#h Guidelines in using [higher-order factor](#higherOrderModel) and [bifactor](#bifactorModel) models are discussed by @Markon2019.\index{factor analysis}\index{factor analysis!higher-order}\index{factor analysis!bifactor} [Factor analysis](#factorAnalysis) is a powerful technique to help identify the factor structure that underlies a measure or construct.\index{factor analysis} -As discussed in Section \@ref(factorAnalysisDecisions), however, there are many decisions to make in [factor analysis](#factorAnalysis), in addition to questions about which variables to use, how to scale the variables, etc.\index{factor analysis} +As discussed in Section \@ref(factorAnalysisDecisions), however, there are many decisions to make in [factor analysis](#factorAnalysis), in addition to questions about which variables to use, how to scale the variables, etc. [@Floyd1995; @Sarstedt2024].\index{factor analysis} If the variables going into a [factor analysis](#factorAnalysis) are not well assessed, [factor analysis](#factorAnalysis) will not rescue the factor structure.\index{factor analysis} In such situations, there is likely to be the problem of garbage in, garbage out.\index{factor analysis} Factor analysis depends on the covariation among variables.\index{factor analysis} @@ -230,7 +230,7 @@ Recommendations for [factor analysis](#factorAnalysis) are described by @Sellbom ### Decisions to Make in Factor Analysis {#factorAnalysisDecisions} -There are many decisions to make in [factor analysis](#factorAnalysis).\index{factor analysis!decisions} +There are many decisions to make in [factor analysis](#factorAnalysis) [@Floyd1995; @Sarstedt2024].\index{factor analysis!decisions} These decisions can have important impacts on the resulting solution.\index{factor analysis!decisions} Decisions include things such as:\index{factor analysis!decisions}