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  • Convergence of Random Effects Model

    Dear Statalist users,

    250 moles (mole_id) of 200 patients (pat_id) were rated as benign/malign twice (one time without a special device (special_device==0) and after a period with an additional special device (special_device==1) by 5 different rater (1-5), two with a lot of experience (== 1) and three with less experience (== 0). Each mole was found to be benign or malign by biopsie (=reference standard).

    The outcome was correct_rating (0/1), i.e. physicians rating equals reference standard.

    The data is in long format (thus 250 x 2 x 5 = 2500 ratings).

    I tried to use a mulilevel logistic regression model with three random intercepts to take into account the nested/paired design of the ratings.
    Code:
    /// model no 1:
    melogit correct_rating i.special_device##i.experience ||pat_id: ||rater: ||mole_id:
    Do you have any recommendation if there is a possibility to make Stata converge model 1?

    Alternatively, other models that converges quite quickly are:
    Code:
    // model no 2: two random intercepts, ignoring the variable rating
    melogit correct_rating i.special_device##i.experience ||pat_id: ||mole_id:
    
    // model no 3: two random intercept and rater as covariable
    melogit correct_rating i.special_device##i.experience rater ||pat_id: ||mole_id:
    
    // model no 4: One random intercept for rater only
    melogit correct_rating i.special_device##i.experience rater ||rater:
    However, I do not know which alternative model is the best for the design. I would go with model no 3, as my favorite model no 1 does not converge.

    What would you recommend?

    Thanks for your opinion.
    Best wishes, Martin


    Code:
    * Example generated by -dataex-. For more info, type help dataex
    clear
    input int(mole_id pat_id) byte(correct_rating rater experience special_device)
    1 1 1 4 1 1
    1 1 0 5 1 1
    1 1 1 3 0 1
    1 1 1 1 0 1
    1 1 0 1 0 0
    1 1 1 4 1 0
    1 1 0 2 0 0
    1 1 1 2 0 1
    1 1 1 3 0 0
    1 1 1 5 1 0
    2 2 1 4 1 1
    2 2 0 1 0 0
    2 2 0 5 1 0
    2 2 1 2 0 0
    2 2 1 5 1 1
    2 2 0 2 0 1
    2 2 0 3 0 0
    2 2 1 3 0 1
    2 2 0 1 0 1
    2 2 1 4 1 0
    end
    label values correct_rating yes1no1_lab
    label def yes1no1_lab 0 "No", modify
    label def yes1no1_lab 1 "Yes", modify
    label values experience experience
    label def experience 0 "Inexperienced", modify
    label def experience 1 "Experienced", modify
    label values special_device software
    label def software 0 "Stand-alone", modify
    label def software 1 "AI assist", modify
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