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OM t of c.iii - Vision Research Coordinating Center - Washington ...

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2/1/99 Chapter 2 Study Design page 2-18<br />

and can be applied under very general assumptions which do not require the<br />

specification <strong>of</strong> the distribution <strong>of</strong> the repeated measures. It permits missing data, the<br />

absence <strong>of</strong> between-subject comparability <strong>of</strong> measurement times, time-dependent as<br />

well as continuous and dichotomous covariates, and correlated outcome measures. The<br />

CLEK <strong>Coordinating</strong> <strong>Center</strong> has experience in implementing the Liang and Zeger model<br />

using a SAS macro prepared by Karim and Zeger (1988).<br />

2.9.5 Analyses Keyed to Specific Aims<br />

2.9.5a Specific Aim A<br />

The purpose <strong>of</strong> this Aim is largely descriptive in that the primary goals are to<br />

provide estimates <strong>of</strong> visual acuity, corneal curvature, whether keratoconus patients<br />

wear spectacles or contact lenses and the type <strong>of</strong> contact lens, the percent <strong>of</strong> patients<br />

with central corneal scarring and other biomicroscopic signs <strong>of</strong> keratoconus, and the<br />

percent <strong>of</strong> patients who require corneal surgery. We will also describe the rate at which<br />

the latter two dichotomous measures develop in patients who do not exhibit them at<br />

baseline. (Finally, with a particular focus on those patients who develop central corneal<br />

scarring and those patients who go to surgery during the study, we will quantify the<br />

before/after changes in Bailey-Lovie high and low contrast visual acuity.) Ninety-five<br />

percent confidence bounds will be placed around all parameters estimated for this<br />

Specific Aim. Because Specific Aims B through D are focused on a detailed analysis <strong>of</strong><br />

these parameters with an emphasis on accounting for the correlation between two eyes<br />

<strong>of</strong> the same patient, the descriptive Aim will simplify both the methodology and the<br />

description <strong>of</strong> results by focusing on a single eye. Specifically, baseline estimates will be<br />

generated with an eye <strong>of</strong> each subject chosen randomly. The rate <strong>of</strong> development <strong>of</strong> the<br />

dichotomous parameters will be described separately using: (1) the randomly selected<br />

eye when the condition is not present at baseline in either eye or (2) the fellow eye when<br />

the condition is present at baseline in one eye. With the development <strong>of</strong> each<br />

dichotomous condition between baseline and the final study measurement treated as a<br />

yes/no variable, chi square tests will compare the rate <strong>of</strong> development <strong>of</strong> each condition<br />

in patients who had the condition in neither eye at baseline versus patients who had the<br />

condition in one eye at baseline. Using this same dichotomy defined by the number <strong>of</strong><br />

eyes (0 or 1) in which a condition is present at baseline, the rate <strong>of</strong> change in best<br />

corrected high and low contrast visual acuity from baseline to final measurement will<br />

be described and compared in the two groups. Thus, we will compute the mean change<br />

in high and low contrast visual acuity in one randomly selected eye <strong>of</strong> patients with no<br />

central corneal scarring at baseline and in the fellow eye <strong>of</strong> subjects with central corneal<br />

scarring in only one eye at baseline. Confidence bounds will be placed around those<br />

changes. Before/after differences in high and low contrast visual acuity will be<br />

statistically compared using analysis <strong>of</strong> covariance with final visual acuity as the<br />

dependent variable and with baseline visual acuity and whether central corneal scarring<br />

was present in one eye as compared to no eyes at baseline as independent variables.<br />

2.9.5b Specific Aim B

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