{
  "creator": [
    "Lorenzo-Seva, Urbano",
    "Ferrando, Pere J."
  ],
  "date": [
    "2023-06-30"
  ],
  "description": [
    "A shortcoming of least-squares unrestricted factor analysis (UFA) procedures, which are widely used in psychometric applications is that a test statistic for assessing model-data fit cannot be easily derived from the minimum fit function value. This paper proposes a chi-square type goodness-of-fit test statistic intended for the principal-axis, MINRES, and minimum-rank UFA procedures. The statistic is empirically obtained via intensive simulation based on a two-stage approach. First, a distribution of minimum fit function values is obtained from a scenario in which the null hypothesis of perfect model-data fit holds. Second, the obtained statistic is non-linearly transformed so that it has its first four moments equal to those of the theoretical reference chi-square distribution with the appropriate degrees of freedom. Extensions of the basic statistic are next proposed that include comparative and relative indexes based on it. Tests of close-fit and power assessment derived from the basic statistic are also proposed."
  ],
  "format": [
    "application/pdf",
    "text/html",
    "text/xml"
  ],
  "identifier": [
    "https://meth.psychopen.eu/index.php/meth/article/view/9839",
    "10.5964/meth.9839"
  ],
  "language": [
    "eng"
  ],
  "publisher": [
    "PsychOpen GOLD / Leibniz Institut for Psychology (ZPID)"
  ],
  "relation": [
    "https://meth.psychopen.eu/index.php/meth/article/view/9839/9839.pdf",
    "https://meth.psychopen.eu/index.php/meth/article/view/9839/9839.html",
    "https://meth.psychopen.eu/index.php/meth/article/view/9839/9839.xml"
  ],
  "rights": [
    "Copyright (c) 2023 Urbano Lorenzo-Seva, Pere J. Ferrando",
    "https://creativecommons.org/licenses/by/4.0"
  ],
  "source": [
    "Methodology; Vol. 19 No. 2 (2023); 96-115",
    "1614-2241",
    "1614-1881",
    "10.5964/meth.v19i2"
  ],
  "subject": [
    "chi square test of fit statistic",
    "goodness-of-fit indices",
    "principal axis factoring",
    "MINRES",
    "ULS",
    "minimum rank factor analysis",
    "unrestricted factor analysis",
    "power analysis"
  ],
  "title": [
    "A Simulation-Based Scaled Test Statistic for Assessing Model-Data Fit in Least-Squares Unrestricted Factor-Analysis Solutions"
  ],
  "type": [
    "info:eu-repo/semantics/article",
    "info:eu-repo/semantics/publishedVersion",
    "Peer-reviewed article"
  ]
}