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Risky business: factor analysis of survey data – assessing the probability of incorrect dimensionalisation

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Figure

Fig 1. Histograms of simulated respondent positions for four distributions. Histograms of distributionsof simulated respondents on the latent continuum used in this paper (n = 2000): bimodal (panel A), normal(panel B), uniform (panel C) and skewed normal (panel D).
Table 1. Specification of boundaries between categories of five-point ordered categorical items*.
Table 2. Range and average test-retest correlations (Pearson and polychoric) for the 27 simulated items, by population distribution and level ofrandom error.
Fig 2. Response distributions for Item 7 for each of the population distributions. Distribution ofsimulated responses on item 7 (see Table 1) under the large error condition (see Table 2) for four latentpopulation distributions: bimodal (A), normal (B), uniform (C) and skewed normal (D); (n = 2000).
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