Skip to main content

Table 3 Bias on the v parameter 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

-0.04/-0.08

-0.04/-0.08

-0.03/-0.07

-0.04/-0.13

-0.04/-0.13

-0.05/-0.14

-0.05/-0.15

-0.08/-0.18

-0.11/-0.22

PMS-R

0.00/-0.03

-0.00/-0.03

-0.00/-0.03

0.00/-0.06

-0.00/-0.07

-0.03/-0.09

-0.00/-0.09

-0.03/-0.12

-0.07/-0.16

IMS

0.00/0.04

-0.03/0.02

-0.05/-0.00

0.00/0.08

-0.05/0.04

-0.12/-0.03

-0.00/0.13

-0.09/0.04

-0.19/-0.06

IMS-R

0.00/0.00

-0.02/-0.02

-0.04/-0.04

0.00/-0.00

-0.03/-0.03

-0.08/-0.08

-0.00/0.00

-0.06/-0.05

-0.13/-0.13

CIM

0.04/0.04

0.03/0.03

0.04/0.04

0.06/0.06

0.06/0.06

0.04/0.04

0.07/0.09

0.03/0.05

-0.00/0.00

CIM-R

0.02/0.04

0.01/0.03

0.01/0.04

0.03/0.01

0.01/0.00

0.01/-0.02

0.03/0.02

-0.01/-0.02

-0.05/-0.07

ICS

0.00/-0.02

-0.00/-0.03

-0.00/-0.03

0.00/-0.06

-0.01/-0.05

-0.03/-0.07

-0.00/-0.06

-0.03/-0.10

-0.07/-0.14

LOG

0.00/0.03

-0.02/0.01

-0.03/-0.01

0.00/0.05

-0.04/0.01

-0.11/-0.05

-0.00/0.09

-0.08/0.01

-0.19/-0.10

LOG-R

0.00/-0.00

-0.02/-0.01

-0.03/-0.03

0.00/-0.00

-0.03/-0.03

-0.08/-0.08

-0.00/0.00

-0.06/-0.06

-0.14/-0.13

MOK

-0.01/0.01

-0.02/0.00

-0.03/-0.00

-0.02/0.02

-0.04/0.01

-0.08/-0.02

-0.03/0.05

-0.08/0.00

-0.13/-0.05

RAS

0.00/-0.06

-0.00/-0.06

0.01/-0.06

0.00/-0.12

-0.00/-0.11

-0.00/-0.12

-0.00/-0.17

-0.01/-0.18

-0.02/-0.20

RAS-R

0.00/-0.04

-0.01/-0.05

-0.01/-0.05

0.00/-0.08

0.01/-0.09

-0.03/-0.11

-0.00/-0.12

-0.03/-0.14

-0.06/-0.17

RAI

0.00/-0.06

-0.00/-0.06

0.00/-0.06

0.00/-0.06

0.00/-0.06

-0.00/-0.07

-0.00/-0.08

-0.02/-0.11

-0.05/-0.15

WORST

0.23/0.23

0.22/0.20

0.21/0.19

0.38/0.36

0.36/0.34

0.33/0.31

0.45/0.44

0.41/0.40

0.36/0.35

NOIMP

0.00/0.00

-0.01/-0.01

-0.02/-0.02

0.00/-0.00

-0.02/-0.02

-0.06/-0.06

-0.00/0.00

-0.05/-0.04

-0.11/-0.11

LD

0.00/-0.00

-0.10/-0.08

-0.21/-0.19

0.00/-0.00

-0.20/-0.19

-0.45/-0.42

-0.00/-0.00

-0.31/-0.29

-0.70/-0.67

FC

0.00/-0.00

0.00/-0.00

-0.00/0.00

-0.00/-0.00

-0.00/0.00

0.00/0.00

-0.00/0.00

-0.00/0.00

0.00/0.00