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Table 1 Sample size and lowest, highest, and average θ for each true score interval

From: ALICAT: a customized approach to item selection process in computerized adaptive testing

True θ intervalSample sizeLowest θHighest θAverage θ
[ − 2 ; − 1.5 ]12193− 1.716215− 1.500013− 1.58
[ − 1.5 ; − 1 ]121331− 1.499992− 1.000002− 1.19
[ − 1 ; − 0.5 ]211557− 0.999995− 0.500002− 0.75
[ − 0.5 ; 0 ]193117− 0.499994− 1e −06− 0.25
[ 0 ; 0.5 ]1631311.3e −050.4999950.24
[ 0.5 ; 1 ]1398040.5000060.9999970.74
[ 1 ; 1.5 ]953641.0000011.4999871.23
[ 1.5 ; 2 ]532751.5000011.9999891.71
[ 2 ; 2.5 ]94352.0000342.4996472.16
[ 2.5 ; 3.5 ]7932.5000073.0832162.66