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. 2016 Mar 30;40(5):346–360. doi: 10.1177/0146621616639305

Table 4.

Constraint Management Results for the Item Selection Methods.

Number of violations
Item selection methods 0 1 2 3 4 5 6 7 8 9 Averaged
Between-item pool
 Correlation = .8
  R 0.07 0.37 0.40 0.14 0.01 0.00 0.00 0.00 0.00 0.00 3.31
  MDFIM 0.17 0.40 0.35 0.08 0.00 0.00 0.00 0.00 0.00 0.00 2.68
  MPI 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
  MMPI 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
 Correlation = .4
  R 0.08 0.38 0.39 0.14 0.01 0.00 0.00 0.00 0.00 0.00 3.27
  MDFIM 0.16 0.43 0.34 0.07 0.00 0.00 0.00 0.00 0.00 0.00 2.64
  MPI 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
  MMPI 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Within-item pool
 Correlation = .8
  R 0.32 0.42 0.20 0.05 0.01 0.00 0.00 0.00 0.00 0.00 2.01
  MDFIM 0.29 0.47 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.00 1.96
  MPI 0.97 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06
  MMPI 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
 Correlation = .4
  R 0.31 0.42 0.20 0.06 0.01 0.00 0.00 0.00 0.00 0.00 2.06
  MDFIM 0.31 0.45 0.21 0.03 0.00 0.00 0.00 0.00 0.00 0.00 1.93
  MPI 0.94 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13
  MMPI 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Note. Four item selection methods in this study were (a) the randomized (R) item selection, (b) the MDFIM, (c) the MPI, and (d) the MMPI. MDFIM = maximum determinant of the Fisher information matrix; MPI = multidimensional priority index; MMPI = modified multidimensional priority index.