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Table 1 Simulation conditions. The conditions of the full cross classified design for the simulation study. The numbers of items, number of participants, as well as the skewness from a normal distribution of the latent variable were varied

From: Why item response theory should be used for longitudinal questionnaire data analysis in medical research

Modela

Itemsb

Nc

Skewness

IRT

3

100

0

CTT

5

500

+/− 0.4

 

7

1000

+/− 0.8

 

10

 

+/− 1.3

 

15

 

+/− 1.9

 

20

 

+/− 2.6

 

50

 

+/− 3.6

  1. aMeasurement model that was used for drawing the plausible values for the latent variable
  2. bNumber of items
  3. cNumber of participants