Reliability

 

Measurement error

1.     Systematic error

2.     Random error

 

True score

X=T+E

where

T    True score

 

E    Random error

 

X    Observed score

 

Assumptions behind CTT

Repeated measurement design for 1 individual

Measuring more than 1 individual

X=T+E

X=T+E

Normal distribution of observed score for that individual

μX=T

μE=0 (Normal distribution)

μXT

 

 

Distribution of X and E are the same

 

 

 

 

   

 

 

 

 

 

Properties useful to develop the reliability coefficient

 


Estimating the reliability coefficient

1.

2.

 

Derive the correlation between the observed and true score

Derive the correlation between // test forms

 

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