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Table 7 Bias on the PSI 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)

From: Imputation by the mean score should be avoided when validating a Patient Reported Outcomes questionnaire by a Rasch model in presence of informative missing data

 

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

0.09/0.09

0.09/0.09

0.09/0.10

0.13/0.13

0.13/0.13

0.13/0.13

0.13/0.09

0.13/0.09

0.12/0.09

PMS-R

0.06/0.06

0.06/0.06

0.06/0.06

0.08/0.08

0.08/0.08

0.08/0.08

0.07/0.06

0.07/0.06

0.06/0.06

IMS

-0.05/-0.05

-0.05/-0.05

-0.05/-0.05

-0.09/-0.09

-0.10/-0.09

-0.10/-0.10

-0.14/-0.05

-0.14/-0.05

-0.16/-0.05

IMS-R

-0.06/-0.06

-0.06/-0.06

-0.06/-0.06

-0.12/-0.12

-0.12/-0.12

-0.12/-0.12

-0.17/-0.06

-0.17/-0.06

-0.18/-0.06

CIM

0.09/0.08

0.09/0.09

0.09/0.09

0.12/0.12

0.12/0.12

0.12/0.12

0.12/0.08

0.12/0.09

0.12/0.09

CIM-R

0.05/0.05

0.05/0.05

0.06/0.05

0.07/0.06

0.08/0.06

0.08/0.07

0.06/0.05

0.06/0.05

0.06/0.05

ICS

0.05/0.05

0.05/0.05

0.05/0.05

0.07/0.07

0.07/0.07

0.07/0.07

0.05/0.05

0.05/0.05

0.04/0.05

LOG

0.02/0.02

0.02/0.02

0.02/0.02

-0.00/0.00

-0.00/0.00

-0.01/-0.01

-0.05/0.02

-0.06/0.02

-0.08/0.02

LOG-R

-0.02/-0.02

-0.02/-0.02

-0.02/-0.02

-0.06/-0.06

-0.06/-0.06

-0.07/-0.05

-0.11/-0.02

-0.11/-0.02

-0.13/-0.02

MOK

0.05/0.05

0.05/0.05

0.04/0.04

0.06/0.07

0.06/0.06

0.06/0.06

0.05/0.05

0.05/0.05

0.04/0.04

RAS

0.05/0.05

0.05/0.05

0.05/0.05

0.07/0.07

0.07/0.07

0.07/0.07

0.05/0.06

0.05/0.06

0.04/0.06

RAS-R

0.01/0.01

0.01/0.01

0.01/0.01

-0.00/0.00

0.00/0.00

0.00/0.00

-0.03/0.01

-0.03/0.01

-0.03/0.01

RAI

0.05/0.01

0.05/0.06

0.05/0.06

0.12/0.12

0.12/0.12

0.12/0.12

0.13/0.06

0.12/0.06

0.12/0.06

WORST

-0.06/-0.06

-0.04/-0.04

-0.01/-0.01

-0.13/-0.12

-0.09/-0.09

-0.05/-0.05

-0.19/-0.06

-0.16/-0.04

-0.12/-0.01

NOIMP

-0.03/-0.03

-0.03/-0.03

-0.03/-0.03

-0.06/-0.06

-0.07/-0.06

-0.07/-0.06

-0.10/-0.03

-0.10/-0.03

-0.11/-0.03

LD

-0.00/-0.00

-0.00/-0.00

-0.01/-0.00

-0.00/-0.00

-0.01/-0.01

-0.03/-0.02

-0.01/-0.00

-0.02/-0.00

-0.07/-0.01