Continuous data are expressed as mean ± standard error of the mean. Repeated-measure longitudinal regression, estimated by a generalized estimating equations, was used to estimate the mean rate of change for each outcome measure. Generalized estimating equations were adopted because this method could deal with the intereye correlation (i.e., between the two eyes of the same person at a given visit) and longitudinal correlation (i.e., between values of the same eye followed over time) by adopting an appropriate covariance structure, as previously described.
16–18 The method has been previously applied both to investigate treatment effect in ophthalmological studies
19,20 and to evaluate the natural history in inherited retinal diseases.
21–25 BCVA were converted to logMAR and all the other measures (i.e., GVF area, MS, MMT) were log transformed. Moreover, following evidence from previous studies,
6,8 for BCVA and GVF area, two-phase models with a different age cut-off (i.e., 20, 30, 40, or 50 years) were fitted to find eventual changes in the progression rate, and the model with the best goodness of fit (i.e., the minimum value of the corrected quasi likelihood under independence model criterion) was selected. A repeated-measure longitudinal regression model was fitted to explore the correlation between values of the right and the left eyes. A Kaplan-Meier survival analysis was performed to show the age distribution for blindness, based on BCVA and GVF, and the distributions were compared with a log rank (Mantel-Cox) test. We adopted the following failure criteria for blindness, as indicated by the
International Classification of Diseases (version 2016)
26: BCVA worse than 20/400 in the better eye and III4e GVF area in the better eye no greater than 314°
2 (i.e., corresponding to an equivalent radius of 10°). Finally, to explore any possible genotype–phenotype correlation, we fitted the regression models including as variables patients' age and effect of pathogenic sequence variants on the
CHM/REP1 transcript expression and their interaction. In these analyses, we included only one proband for each family (i.e., the first diagnosed patient, which has, in
Table 1, the lowest ID number among the family components), and we excluded the patients for whom RNA analysis was not available.