Exam 12: Factor Analysis, Path Analysis, and Structural Equation Modeling

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Latent variables are

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The hypothesis that variable C mediates the relationship between variables A and B can be tested using

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Name and define the three approaches to testing mediational hypotheses.

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The three approaches to testing mediational hypotheses are the Baron and Kenny approach, the Sobel test, and the bootstrapping method.

1. Baron and Kenny approach: This approach involves a series of regression analyses to test the mediational hypothesis. First, the independent variable is regressed on the mediator variable to establish a relationship. Then, the independent variable is regressed on the dependent variable to show a significant relationship. Finally, when both the independent variable and the mediator are included in the regression model, the mediator should significantly predict the dependent variable while the direct effect of the independent variable on the dependent variable should be reduced or become non-significant.

2. Sobel test: The Sobel test is a statistical test that assesses the significance of the indirect effect of the independent variable on the dependent variable through the mediator. It calculates a z-score to determine if the indirect effect is significantly different from zero. This approach is based on the assumption of normality and can be limited by its reliance on large sample sizes.

3. Bootstrapping method: Bootstrapping is a resampling technique that does not rely on the assumption of normality and can be used to test the significance of the indirect effect in a mediational model. This method involves repeatedly sampling from the data with replacement to create multiple samples, and then estimating the indirect effect in each sample. The distribution of these estimates is used to calculate confidence intervals and test the significance of the indirect effect.

Each of these approaches has its own strengths and limitations, and researchers should consider the specific requirements of their data and research question when choosing a method for testing mediational hypotheses.

An observed variable is

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A scree plot is used to

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Exploratory factor analysis can be used to

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Path analysis is a method for

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Describe a study that would be analyzed using confirmatory factor analysis. What would the goals of that analysis be?

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Describe the purposes of factor analysis, distinguishing between exploratory and confirmatory factor analysis.

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Describe the two ways factor scores can be created from the results of an exploratory factor analysis.

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In exploratory factor analysis, factor extraction

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List two ways alternative models can be ruled out in path analysis and structural equation modeling other than directly testing those models.

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Which of the following statements about path analysis and structural equation modeling is/are TRUE?

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Which of the following statements about oblique rotation in exploratory factor analysis is TRUE?

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What is the purpose of creating a scree plot in exploratory factor analysis?

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You hypothesize that gender of research participant MODERATES the relationship between peer pressure to conform and conformity to group norms. Of the following designs, which would be the most appropriate to use to test your hypothesis?

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Which of the following statements about exploratory factor analysis is TRUE?

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Factor analysis is a

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What is structural equation modeling? Why would a researcher use this type of statistical analysis?

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Define parallel analysis and explain why a researcher would conduct this type of analysis.

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