A comparison of several goodness-of-fit statistics
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A comparison of several goodness-of-fit statistics
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1985
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Abstract
A study was conducted to evaluate four goodness-of-
fit procedures using data simulation techniques. The
procedures were evaluated using data generated according
to three different item response theory models
and a factor analytic model. Three different distributions
of ability were used, as were three different sample
sizes. It was concluded that the likelihood ratio
chi-square procedure yielded the fewest erroneous rejections
of the hypothesis of fit, whereas Bock’s chi-square
procedure yielded the fewest erroneous acceptances
of fit. It was found that sample sizes somewhere
between 500 and 1,000 were best. Shifts in the
mean of the ability distribution were found to cause
minor fluctuations, but they did not appear to be a
major issue.
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McKinley, Robert L & Mills, Craig N. (1985). A comparison of several goodness-of-fit statistics. Applied Psychological Measurement, 9, 49-57. doi:10.1177/014662168500900105
Suggested citation
McKinley, Robert L.; Mills, Craig N.. (1985). A comparison of several goodness-of-fit statistics. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/102021.
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