Table 6.
Rate of rejection of the Rasch model assumption with the Q1 test as a function of the rate of missing data per item (π), the value of the correlation coefficient ρ between the latent variable Θ and the propensity to have missing data ξ for each method for handling missing data (results for w = 0/w = 1) [*: values significantly different of 5%]
| π = 10% | π = 20% | π = 30% | |||||||
|---|---|---|---|---|---|---|---|---|---|
| Method | ρ = 0.0 | ρ = -0.4 | ρ = -0.9 | ρ = 0.0 | ρ = -0.4 | ρ = -0.9 | ρ = 0.0 | ρ = -0.4 | ρ = -0.9 |
| PMS | 5.2/6.5 | 5.2/6.6* | 4.9/6.3* | 5.7/9.2* | 5.9/9.7* | 6.2/8.1* | 4.6/22.3* | 6.3/17.6* | 6.2/18.5* |
| PMS-R | 5.6/5.2 | 6.0/5.6 | 4.0/4.7 | 3.9/8.0* | 4.3/6.4 | 6.2/6.0 | 5.2/8.5* | 5.9/8.3* | 6.7*/8.2* |
| IMS | 5.6/3.9 | 5.4/4.6 | 6.0/5.8 | 4.5/4.6 | 6.3/4.4 | 6.1/5.3 | 3.9/4.5 | 3.9/5.0 | 6.1/5.8 |
| IMS-R | 6.0/6.0 | 6.0/6.1 | 4.5/5.0 | 6.2/6.7* | 4.4/5.7 | 4.9/5.1 | 4.7/7.4* | 5.9/5.5 | 4.3/6.8 |
| CIM | 11.4*/9.7* | 8.5*/9.3* | 9.0*/8.2* | 19.6*/19.5* | 15.5*/18.5* | 14.2*/19.1* | 22.9*/29.0* | 22.2*/28.8* | 23.6*/32.7* |
| CIM-R | 5.9/3.7 | 4.9/4.4 | 5.2/4.4 | 6.9*/4.4 | 6.9*/5.6 | 6.6*/4.5 | 6.9*/5.5 | 6.8/4.9 | 8.0*/6.3 |
| ICS | 49.6*/54.8* | 51.5*/55.2* | 51.7*/54.0* | 85.0*/87.9* | 86.0*/88.6* | 85.0*/89.0* | 94.1*/97.6* | 93.7*/96.5* | 95.6*/97.7* |
| LOG | 33.0*/37.3* | 34.9*/34.6* | 35.8*/37.2* | 64.2*/63.6* | 63.2*/67.4* | 61.5*/65.9* | 65.5*/65.6* | 63.2*/68.1* | 60.4*/66.9* |
| LOG-R | 10.6*/12.6* | 13.1*/11.1* | 11.9*/11.6* | 19.1*/19.8* | 19.5*/18.7* | 17.7*/19.0* | 22.2*/26.4* | 24.5*/24.8* | 22.6*/24.0* |
| MOK | 16.1*/17.3* | 17.9*/18.6* | 19.2*/19.4* | 42.2*/51.3* | 44.3*/54.2* | 49.4*/56.9* | 58.5*/72.4* | 60.2*/75.0* | 67.8*/82.0* |
| RAS | 21.8*/23.8* | 22.8*/24.3* | 21.5*/26.1* | 61.2*/69.9* | 63.9*/67.6* | 64.2*/67.5* | 80.6*/87.7* | 83.3*/88.7* | 81.0*/86.3* |
| RAS-R | 4.7/4.9 | 5.9/5.3 | 6.2/6.2 | 6.0/6.2 | 6.9*/6.9* | 7.3*/6.0 | 6.6*/6.6* | 6.7*/16.9* | 6.8*/5.7 |
| RAI | 21.9*/24.3* | 22.9*/24.3* | 22.6*/27.5* | 17.8*/45.0* | 19.6*/40.2* | 18.3*/36.9* | 10.1*/61.0* | 14.1*/52.5* | 15.4*/45.0* |
| WORST | 6.8*/5.5 | 6.1/5.8* | 5.1/3.2* | 6.7*/6.9* | 6.2/4.4 | 5.0/4.8 | 10.0*/6.9* | 9.2*/5.8 | 8.0*/4.0 |
| NOIMP | 6.5/7.8* | 7.5*/8.2* | 6.9*/7.6* | 9.2*/9.7* | 11.0*/10.9* | 10.2*/9.4* | 13.3*/14.8* | 13.8*/14.0* | 9.6*/9.5* |
| LD | 4.9/5.1 | 4.0/5.2 | 5.1/4.9 | 4.8/5.2 | 5.1/5.0 | 4.3/4.4 | 3.4*/3.3* | 3.4*/4.5 | 3.3*/2.5* |
| FC | 5.2/5.5 | 4.8/4.4 | 5.1/5.0 | 5.4/4.6 | 4.1/3.9 | 4.9/4.9 | 4.0/4.8 | 4.7/4.5 | 4.9/3.8* |