In: Statistics and Probability
A hospital is interested in evaluating inter-rater reliability in nurse assessment of dementia. A random selection of four nurses evaluated six patients (randomly assigned) and recorded a dementia score. The data is available in “Nurse ICC data”. Use a one-way, random-effects model (software of your choice) to find estimates of
Note that you won’t be including “patient” in your model. Patient-to-patient variability and nurse*patient interaction will be included in the error (“within”) term.
| patient | nurse | rating | 
| 1 | 1 | 9 | 
| 1 | 2 | 2 | 
| 1 | 3 | 5 | 
| 1 | 4 | 8 | 
| 2 | 1 | 6 | 
| 2 | 2 | 1 | 
| 2 | 3 | 3 | 
| 2 | 4 | 2 | 
| 3 | 1 | 8 | 
| 3 | 2 | 4 | 
| 3 | 3 | 6 | 
| 3 | 4 | 8 | 
| 4 | 1 | 7 | 
| 4 | 2 | 1 | 
| 4 | 3 | 2 | 
| 4 | 4 | 6 | 
| 5 | 1 | 10 | 
| 5 | 2 | 5 | 
| 5 | 3 | 6 | 
| 5 | 4 | 9 | 
| 6 | 1 | 6 | 
| 6 | 2 | 2 | 
| 6 | 3 | 4 | 
| 6 | 4 | 7 | 
Software : Excel
Output :-

A . Variance componets :
Since ,
                                       
So,
                       
B. Intraclass correlation :-