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192    CHAPTER 10  Statistics in ophthalmology




                         7  Biomarkers

                         A term that has become very common within ophthalmic and vision research is bio-
                         marker. This is quite a broad term however as is true of disease it means different
                         things to different people. While there are precise definitions within the literature,
                         they overlap considerably and it is probable that many who use the term have not
                         applied its strict definition. Perhaps the most commonly adopted definition is “any
                         substance or biological structure that can be measured in the human body and may
                         influence, explain or predict the incidence of outcome of a disease” [42]. Other defi-
                         nitions require that a biomarker must be able to be measured with certain accuracy
                         and reproducibility but that measurement may be made using molecular, biochemi-
                         cal and cytogenic techniques but also by modern imaging methods such as corneal
                         topography and optical coherence [43]. One of the reasons that biomarkers have
                         become so prevalent in medical research is the potential they offer to accelerate the
                         research process from bench to bedside and back to the bench.
                            Historically  clinical trials  have  relied upon  clinical  endpoints—endpoints that
                         capture the patient’s clinical state. Initially these were largely determined by the
                           clinician—for example, intraocular pressure measurement in glaucoma studies but
                         over time the importance of relating the outcome to the patient was emphasized so that
                         outcomes which truly reflected a patient experience (for example loss of sight) were
                         used. Conditions may take a long time however to lead to such outcomes and if trials
                         have to rely upon these they may be very costly and time consuming. Technology and
                         biomarkers offer the potential to reduce this considerably. An example in ophthalmol-
                         ogy is seen with the UKGTS study—repeat measurement of visual field led to more
                         precision in estimates and statistical significance was observed with fewer patients
                         [44]. Biomarkers used in this fashion are termed surrogate endpoints, however, there
                         are strict criteria which must be considered if a biomarker is being considered for this
                         purpose. To be used as a surrogate endpoint there must be solid scientific evidence that
                         a biomarker consistently and accurately predicts a clinical outcome. Obtaining such
                         evidence is, however, itself time consuming. If such evidence is obtained it is still im-
                         portant not to take this beyond what has been shown—for example by assuming that
                         other measures of pathology in a particular condition will show the same relationship
                         with the surrogate as that between surrogate and clinical endpoint [45].



                         8  Ophthalmic imaging data challenges on intersection
                         of statistics and machine learning

                         In the above text, we focussed on the statistical analysis of data as well as designs
                         in ophthalmology. Here we try and indicate a link between statistics, retinal image
                         analysis and machine learning (ML): for instance, is it worth discussing ML tech-
                         niques for retinal data analysis, from the point of view of statisticians? What is the
                         difference between ML and statistics especially in relation to retinal imaging and
                         where does data science fit?
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