2014
DOI: 10.1016/j.paid.2014.03.017
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Investigating invariant item ordering in the Mental Health Inventory: An illustration of the use of different methods

Abstract: Invariant item ordering is a property of scales whereby the items are scored in the same order across a wide range of the latent trait and across a wide range of respondents. In the package 'mokken' in the statistical software R, the ability to analyse Mokken scales for invariant item ordering has recently been available and techniques for inspecting visually the item response curves of item pairs, have also been included. While methods to assess invariant item ordering are available, there have been indicatio… Show more

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Cited by 8 publications
(7 citation statements)
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“…The present study used the non-parametric item response ( is judged using a "Crit" value, which is calculated from the number of violations of monotonicity; values should not exceed 80 (Molenaar & Sijtsma, 2000). The existence of IIO can be established by a combination of visually inspecting plots of ICCs and looking for significant violations of IIO; the strength of IIO can be estimated using Htrans (H T ) (Watson et al, 2014) which is analogous to Hs and the values for judging the strength of IIO are the same as those for Hs reported above. The probability of obtaining a Mokken scale and the reliability (rho) of Mokken scales can also be estimated.…”
Section: Mokken Scalingmentioning
confidence: 99%
“…The present study used the non-parametric item response ( is judged using a "Crit" value, which is calculated from the number of violations of monotonicity; values should not exceed 80 (Molenaar & Sijtsma, 2000). The existence of IIO can be established by a combination of visually inspecting plots of ICCs and looking for significant violations of IIO; the strength of IIO can be estimated using Htrans (H T ) (Watson et al, 2014) which is analogous to Hs and the values for judging the strength of IIO are the same as those for Hs reported above. The probability of obtaining a Mokken scale and the reliability (rho) of Mokken scales can also be estimated.…”
Section: Mokken Scalingmentioning
confidence: 99%
“…This scale shows weak IIO (H T >0.3) which indicates that all respondents at any level of attitude may respond to these items in the same way. However, inspection of the item pair plots Scale 2 shows that the IRF for item 19 is far from the remaining items and this could be exaggerating the measurement of IIO as shown recently [37] , [38] . Items 18, 19 and 21 in this scale had 95% CIs which included 0 with items which were not included in Scale 2.…”
Section: Resultsmentioning
confidence: 99%
“…We also compared the total proportion of older adults reporting at least one limitation across items using the same statistic. For the total summed scales, additional comparisons included: (a) internal consistency using Cronbach’s alpha (α), with standard thresholds [ 35 ], (b) invariant item ordering [ 36 ], using H trans (H T ) and previously published thresholds [ 37 , 38 ], and (c) correlations with other health-related variables as indicators of concurrent validity. All scale and item scores were log-transformed prior to assessing correlations given the skewed nature of response distributions.…”
Section: Methodsmentioning
confidence: 99%