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  • Interpreting covariate adjusted AUCs from ROC Curves

    Hi,

    I realise that questions on this topic are common but it is conceptually difficult.

    I’m trying to compare scan derived categorical (rmra rjs) and continuous (rgps rsas) classifications of optic discs against a gold standard (roag). Some of my covariates are potential quality metrics; rsd is a marker of scan quality, while rads is a predictor of misclassification.

    I’ve tried; rocreg roag rmra rjs rgps rsas , ctrlcov(rads examage gender rsd) cluster(Study) ctrlmodel(linear)

    Am I using the right model or should I be analysing categorical and continuous classifications as separate groups ? Can I treat my covariates not as an adjustment but as an additional clinical tool / quality metric in this way ? And if so what’s the best way of describing my result to a clinical audience. Could I say, for instance “rads was a significant predictor of test discrimination and where a scan has an ads score below x, automated scan derived classifications should be interpreted with caution, etc..” ? Presumably I should present adjusted and unadjusted AUCs in my results ?

    I've enclosed a sample dataset. In the full data set (classifier rmra, rads coef=0.94 (95% CI 0.86 – 1.01), NB in the sample dataset it’s not significant (p=0.792) for rmra.

    As ever, I'd be grateful for any advice / insight

    Many thanks

    Ali Poostchi
    Ophthalmology Registrar, Nottingham

    Code:
    * Example generated by -dataex-. To install: ssc install dataex
    clear
    input int StudyNumber float examage long gender float(roag rjs rmra) double(rgps rsas rads) int rsd
     32  74.10815 1 1 3 .   .                  .                    .   .
     33  77.39083 0 0 1 1 .09 .24694214986444324  .015187238254209744  33
     52  85.86995 1 1 1 2 .53  .5427921697288663    .6256634527293633  26
     92 68.019165 0 1 3 3 .89   .996143397435842    .1376716190840947  18
     93  81.48939 0 0 1 1 .31 .15170827301718864    .9841314631499114  19
    164  78.91033 1 1 . 2 .83  .9779318775180398    .8049106039784562  22
    165  85.74401 1 0 3 .   .                  .                    .   .
    175  69.98768 0 1 3 3 .57  .9601099662153239    .0654765051587221 100
    176  82.00684 1 0 1 1  .9   .005071101937208 .0016991062929211471  36
    205  73.42368 0 1 3 3 .72  .8232151831282817    .7009586263514439  16
    206  74.25051 1 0 1 1  .1 .05154141380797728   .23165543351847362  32
    214  77.23203 1 1 3 3   .  .9978677806787595   .22506746778670386  47
    215  79.27173 0 . . 3 .86  .2538690534890233    .9363795606599816  22
    219  81.90554 1 1 3 3 .91  .9963729831576595    .2660305967250509  27
    220  78.78439 1 0 3 1 .88  .8036976265174537    .5272711271103941  41
    236 70.858315 1 1 3 3 .29  .5387593643840156    .7648105039215902  13
    237  75.47707 1 0 1 1 .09  .8903348362387873   .06556848852313049  19
    308  80.95277 1 1 1 1 .86  .3183457093452107    .7546589569171274  24
    309 74.113625 0 0 3 3 .72  .3276659337258898    .3558178035810762  15
    end
    label values gender gender
    label def gender 1 "F", modify
    label values rmra norm
    label values rjs norm
    label def norm 1 "Normal", modify
    label def norm 2 "Borderline", modify
    label def norm 3 "Abnormal", modify
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