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As regards the characteristic response curves, for the majority of the items the intermediate option curves ("some difficulty", "much difficulty") lacked a maximum over a unique interval of the scale.
The first solution was clearly better since the curves for all the items would then have a maximum over a unique interval of the scale, whilst in the second solution, the curves for the intermediate option would lack a maximum for the majority of the items.
DIF/DBF analysis was performed before calibrating the item pool to avoid confusing item DIF with item misfit TestGraf [ 36] was used to analyse whether the items had a monotonic relation with the construct and if each response category had a maximum probability of being selected over a unique interval of the scale.
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The list of clustering methods tested is the following one: 1) (M_{unique}): build a unique interval for all instances in the test set.
(M_{unique}): build a unique interval for all instances in the test set.
Moreover, [ λ 1 ( b ∞ ), λ 1 ( b ∞ ) ] is a unique bifurcation interval of positive solutions from infinity for (1.1), (1.2), and [ λ ˜ 1 ( a 0 ), λ ˜ 1 ( a 0 ) ] is a unique bifurcation interval of positive solutions from the trivial solutions for (1.1), (1.2).
In WSSD analyses, a total of 1,714 unique intervals (67.3 Mb) were predicted as listed in Additional file 1: Table S2.
It is worthy to note that the type-7 interneuron displays a unique distribution of inter-spike intervals, resulting in multiple peaks at multiples of 20 ms in both ISI histogram and autocorrelogram.
The existence of a unique solution on the interval of (3.1) will be assumed.
Each bell sounds a unique cloud of untempered frequencies, producing intervals unplayable on any twelve-tone keyboard.
It is sufficient to prove that there exists a unique solution of (1.11), (2.1) on the interval for any.
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