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Activity Number:
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560
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Type:
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Contributed
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Date/Time:
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Thursday, August 6, 2009 : 8:30 AM to 10:20 AM
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Sponsor:
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Social Statistics Section
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| Abstract - #303951 |
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Title:
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Structural Equation Model Diagnosis Using Two Scatter Plots
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Author(s):
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Ke-Hai Yuan*+ and Kentaro Hayashi
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Companies:
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University of Notre Dame and University of Hawaii
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Address:
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Department of Psychology, Notre Dame, IN, 46556,
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Keywords:
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structural equation model ; leverage observations ; outliers ; factor scores ; M-distance ; robust estimation
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Abstract:
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We introduce two simple scatter plots for model diagnosis in structural equation modeling. One plot contrasts a residual-based M-distance of the structural model with the M-distance for the factor score. It contains the information on "outliers," good leverage observations, bad leverage observations, and "normal cases." The other plot contrasts the residual-based M-distance with the quantile of a chi-distribution. It allows the researcher to visually identify clusters of potential outliers. The effect of the potential outliers on the overall model evaluation is studied when removing them according to the order of the clusters exhibited in the plot. Suggestions are provided on determining the outlier status of outstanding cases in real data analysis. Recommendation on the choice of robust methods and maximum likelihood following outlier removal is also given.
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