July 2013
Volume 54, Issue 7
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Retina  |   July 2013
Effect of Optical Coherence Tomography Scan Decentration on Macular Center Subfield Thickness Measurements
Author Affiliations & Notes
  • Jeong W. Pak
    Fundus Photograph Reading Center, Department of Ophthalmology and Visual Sciences, University of Wisconsin–Madison, Madison, Wisconsin
  • Ashwini Narkar
    Fundus Photograph Reading Center, Department of Ophthalmology and Visual Sciences, University of Wisconsin–Madison, Madison, Wisconsin
  • Sapna Gangaputra
    Fundus Photograph Reading Center, Department of Ophthalmology and Visual Sciences, University of Wisconsin–Madison, Madison, Wisconsin
  • Ronald Klein
    Ophthalmic Epidemiology Reading Center, Department of Ophthalmology and Visual Sciences, University of Wisconsin–Madison, Madison, Wisconsin
  • Barbara Klein
    Ophthalmic Epidemiology Reading Center, Department of Ophthalmology and Visual Sciences, University of Wisconsin–Madison, Madison, Wisconsin
  • Stacy Meuer
    Ophthalmic Epidemiology Reading Center, Department of Ophthalmology and Visual Sciences, University of Wisconsin–Madison, Madison, Wisconsin
  • Yijun Huang
    Fundus Photograph Reading Center, Department of Ophthalmology and Visual Sciences, University of Wisconsin–Madison, Madison, Wisconsin
    McPherson Eye Research Institute, University of Wisconsin–Madison, Madison, Wisconsin
  • Ronald P. Danis
    Fundus Photograph Reading Center, Department of Ophthalmology and Visual Sciences, University of Wisconsin–Madison, Madison, Wisconsin
    McPherson Eye Research Institute, University of Wisconsin–Madison, Madison, Wisconsin
  • Correspondence: Yijun Huang, Fundus Photograph Reading Center, Department of Ophthalmology and Visual Sciences, University of Wisconsin–Madison, 8010 Excelsior Drive, Suite 100, Madison, WI 53717; yhuang@rc.ophth.wisc.edu
Investigative Ophthalmology & Visual Science July 2013, Vol.54, 4512-4518. doi:10.1167/iovs.13-12265
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      Jeong W. Pak, Ashwini Narkar, Sapna Gangaputra, Ronald Klein, Barbara Klein, Stacy Meuer, Yijun Huang, Ronald P. Danis; Effect of Optical Coherence Tomography Scan Decentration on Macular Center Subfield Thickness Measurements. Invest. Ophthalmol. Vis. Sci. 2013;54(7):4512-4518. doi: 10.1167/iovs.13-12265.

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      © ARVO (1962-2015); The Authors (2016-present)

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Abstract

Purpose.: To investigate the effect of optical coherence tomography macular grid displacement on retinal thickness measurements.

Methods.: SD-OCT macular scans of 66 eyes with various retinal thicknesses were selected. Decentration of the 1-, 3-, 6-mm-diameter macular grid was simulated by manually adjusting the distance between center of the fovea (cFovea) and center of the grid (cGrid). Center subfield thickness (CSF) between the internal limiting membrane and the top of the retinal pigment epithelium was measured along the displacement distance where the grid was displaced in eight cardinal directions from the cFovea in steps of 100 μm within the central 1-mm subfield and then by 200 μm within the inner subfields. One-way/mixed-effects repeated-measures ANOVA models were used to determine changes of CSF (ΔCSF) as a function of displacement distance (for α = 0.05, power = 0.80 and effect size = 0.1). The interactions between the displacement distance and direction, center point thickness (CPT), and foveal contour were also analyzed.

Results.: The CSF measurement showed statistically significant error when the displacement distance between cFovea and cGrid exceeded 200 μm. The direction of displacement did not affect the ΔCSF-distance relationship, while the CPT and foveal contour significantly affected the relationship, in that some subgroups showed slightly larger tolerance in the displacement distance up to 300 μm before reaching significant ΔCSF.

Conclusions.: Small displacement distances of the macular grid from the cFovea affect CSF measurements throughout a broad range of thicknesses and retinal contour alterations from disease. Accurate registration of OCT scans or post hoc repositioning of the grid is essential to optimize CSF accuracy.

Introduction
Optical coherence tomography (OCT)-measured retinal thickness of the central 1-mm zone of the fovea (center subfield thickness [CSF]) is an important outcome in clinical trials of diseases that affect the macula. CSF has been used in determining patient eligibility and for monitoring disease progression and treatment effects. 110 The CSF is measured using OCT instruments with scanning patterns centered on the fovea: in time-domain OCT (TD-OCT), a radial pattern consisting of six intersecting scans is used; in spectral-domain OCT (SD-OCT) with faster scanning speed, usually a cube scan consisting of 128 or 200 horizontal raster lines is obtained. Retinal thickness is measured based on the segmented inner and outer boundaries of the retina, and averaged in each subfield of a 1-, 3-, 6-mm-diameter macular grid modified from the Early Treatment Diabetic Retinopathy Study (ETDRS) grid, 11 in which the averaged retinal thickness in the center subfield is reported as CSF. 
The accuracy of the calculated CSF is dependent on the precise registration of the center of the macular grid (cGrid) to the center of the anatomical fovea (cFovea). In practice, imprecise registration, or “decentration,” of the cFovea and cGrid locations may be introduced during data acquisition if the cGrid is not centered on the cFovea. Decentration occurs even among healthy subjects, 12,13 and can become a large contributing factor for error, particularly when a patient has eccentric or unstable fixation. In TD-OCT, as the OCT data sampling sparsely covers the foveal region, rescanning may be necessary when the scanning pattern is displaced from the cFovea location. In SD-OCT, the foveal region is usually covered by the densely spaced cube scan, which allows post hoc examination of the serial B-scans and identification of the “true” cFovea location based on retinal morphological structure and recalculation of the CSF in corrected grid positioning. 
In this study, we took advantage of the ability to position the cGrid location independently to the cFovea location in SD-OCT using custom image analysis software, and simulated decentration of the cGrid in a selected group of SD-OCT cube scans to study the absolute difference in CSF values (ΔCSF) as a function of the displacement distance. The data were further stratified by parameters such as direction of displacement, retinal thickness, and foveal morphologic shape. The purpose of the study was to determine the statistical and clinical relevance of the decentration effects on ΔCSF in normal and diseased eyes. 
Methods
This was a retrospective study using post hoc volumetric OCT macular scans (covering 6 × 6-mm area with 512 × 128 sampling) obtained from two source datasets that both used Topcon 3D OCT 1000 (Topcon Corporation, Tokyo, Japan), the Beaver Dam Eye Study, 14,15 and a study evaluating differences between TD- and SD-OCT. 16 Both studies were approved by the institutional review boards and compliant with the tenets of the Declaration of Helsinki and the Health Insurance Portability and Accountability Act. 
We were interested in determining the minimum decentration at which ΔCSF becomes statistically significantly greater than zero. First, we examined the ΔCSF-distance relationship over the entire data samples, the overall ΔCSF, independent of the other contributing factors. Then, we examined the interactive effects between the distance and the following independent parameters. We hypothesized that the ΔCSF-distance relationship was influenced by these parameters: 
  1.  
    Direction of decentration: We examined the ΔCSF-distance relationship by ΔCSF along each of the eight cardinal directions from cFovea (Fig. 1) versus distance.
  2.  
    Center point thickness (CPT) measured at cFovea: Using the CPT, data were stratified into six groups of 100-μm steps of retinal thicknesses, ranging from less than 100 μm to greater than 500 μm of CPT (Table 1).
  3.  
    Foveal contour: We stratified the data into three foveal contours: flat, dome-shaped, and trough-shaped. The foveal contour was defined by the difference between the CPT and the perifoveal average thickness at 1100 μm away from cFovea: if the difference was none or minimal (±50 μm) the contour was considered flat; if the center was thicker than the perifoveal region (>50 μm) it was considered dome-shaped; and if the center was less than −50 μm from the perifoveal thickness, it was deemed trough-shaped (Fig. 2).
Figure 1
 
Simulation of the decentration in spectral domain OCT cube scans by manually adjusting the distance between cFovea and cGrid. (A) Identification of cFovea on OCT scan. The location corresponding to the cFovea was determined by reviewing consecutive B-scans for evidence of the foveal depression and thinning of the nerve fiber layers. (B) cGrid was placed at the cFovea location and was artificially displaced from the cFovea in eight cardinal directions in steps of 100 μm within the center subfield and then in steps of 200 μm within the inner subfields. The CSF values were collected at cGrid of each displacement.
Figure 1
 
Simulation of the decentration in spectral domain OCT cube scans by manually adjusting the distance between cFovea and cGrid. (A) Identification of cFovea on OCT scan. The location corresponding to the cFovea was determined by reviewing consecutive B-scans for evidence of the foveal depression and thinning of the nerve fiber layers. (B) cGrid was placed at the cFovea location and was artificially displaced from the cFovea in eight cardinal directions in steps of 100 μm within the center subfield and then in steps of 200 μm within the inner subfields. The CSF values were collected at cGrid of each displacement.
Table 1
 
Sample Size Calculation and Distribution
Table 1
 
Sample Size Calculation and Distribution
Parameter Calculated Minimum Sample Size Group Sample Distribution
Overall 35 66
CPT 11 0–100 μm 11
11 101–200 μm 11
11 201–300 μm 11
11 301–400 μm 11
11 401–500 μm 11
11 >500 μm 11
Shape 15 Trough 29
15 Flat 16
15 Dome 21
Figure 2. 
 
Representative examples of foveal contour. (A) Normal fovea and (B) flat fovea were categorized to the difference of within ±50 μm between the CPT and the average thickness at 1100 μm away from cFovea. (C) Dome-shaped fovea to the difference greater than +50 μm and (D) trough-shaped fovea to the difference less than −50 μm.
Figure 2. 
 
Representative examples of foveal contour. (A) Normal fovea and (B) flat fovea were categorized to the difference of within ±50 μm between the CPT and the average thickness at 1100 μm away from cFovea. (C) Dome-shaped fovea to the difference greater than +50 μm and (D) trough-shaped fovea to the difference less than −50 μm.
Statistical Models and Sample Size Calculation
We used a one-way repeated-measures ANOVA to examine the absolute ΔCSF-distance relationship overall and in each of the eight cardinal directions, in which the distance step was the categorical variable and the ΔCSF was the continuous variable. For CPT and foveal contour parameters, we used a mixed model repeated-measures ANOVA. 
We performed an a priori power analysis to determine the sample size for α = 0.05, power = 0.80, and effect size = 0.1 (calculated using G*Power, Version 3.1.3; program written by Franz Faul, Universität Kiel, Kiel, Germany). The requirements for the minimum sample sizes were calculated for each analysis (Table 1). Based on the minimum sample requirements, the data collection was designed to accommodate the CPT parameter that has the largest sample size requirement. OCT scans were selected randomly from the source datasets to fill the six CPT groups. A maximum of 11 images per group was selected, yielding the total number of 66 images of 66 subjects in the final dataset (Table 1). An additional selection criterion was image quality: only images with adequate signal quality to enable clear visualization of retinal layers and absence of artifacts were chosen. 
Data Processing
The decentration analysis was performed in a custom OCT viewer (MATLAB R2011b; The MathWorks, Natick, MA). OCT scans were segmented by the segmentation algorithms incorporated in the Topcon 3D OCT 1000 software (Topcon Corporation), which are reported in the manufacturer's documentation to demarcate the internal limiting membrane (ILM) and the retinal pigment epithelium (RPE). The OCT raw data and the segmented lines were exported from the Topcon 3D OCT 1000 software (Topcon Corporation), converted into DICOM format, and read into the custom OCT viewer. A trained ocular disease evaluator (JWP) reviewed each scan for quality, and corrected any segmentation errors if present. The evaluator further reviewed all B scans to identify the A-scan location corresponding to the cFovea, as evidenced by the foveal depression and thinning of the nerve fiber layers. The ETDRS grid was adjusted to be centered at cFovea. The CPT and CSF values at cFovea were collected. Next, CSF was measured as the center of the ETDRS grid was displaced in eight cardinal directions from the cFovea in steps of 100 μm within the central 1-mm zone and then in steps of 200 μm within the central 3-mm zone (Fig. 1). ΔCSF, the absolute difference of the CSF values between the cFovea location and the displaced cGrid locations, were calculated for each direction. In addition, overall ΔCSF was determined by averaging ΔCSFs among the locations of equal distance to cFovea from eight directions. 
Results
Data from 66 eyes were collected and analyzed. The sample distribution is summarized in Table 1; the requirements for minimum sample size were met for each grouping. There were 7 eyes with normal appearance and 59 eyes with various retinal lesions. Although lesion appearance was not investigated in this study, the following retinal abnormalities were observed in the dataset: epiretinal membrane (13 eyes), cysts (35), subretinal fluid (9), drusen (12), choroidal neovascularization (16), and geographic atrophy (8). 
Overall ΔCSF Versus Distance
Figure 3 shows the relationship between overall ΔCSF and decentration distance. As the decentration distance increased, ΔCSF was also increased. At the displacement distance of 1100 μm, the overall ΔCSF was as large as 73.41 μm. One-way repeated-measures ANOVA shows when the displacement distance is greater than 200 μm, the overall ΔCSF becomes statistically greater than zero (P < 0.0001). 
Figure 3. 
 
Overall ΔCSF-distance relationship for all 66 scans. The mean absolute ΔCSF was plotted as connected black dots, and the dotted lines indicate the 95% confidence interval. The displacement distance that exhibited statistically significant CSF measurement error is indicated by the asterisk.
Figure 3. 
 
Overall ΔCSF-distance relationship for all 66 scans. The mean absolute ΔCSF was plotted as connected black dots, and the dotted lines indicate the 95% confidence interval. The displacement distance that exhibited statistically significant CSF measurement error is indicated by the asterisk.
Directionality
Figure 4A examined the decentration effect of the ΔCSF in the eight cardinal directions independently. Similar to the overall ΔCSF-distance relationship, ΔCSF increased as the decentration increased, and became statistically greater than zero when the displacement distance reached 200 μm. However, the decentration effects were the same among the eight directions; the directional parameter did not influence the ΔCSF-distance relationship. Based on this finding, we used the overall ΔCSF for further analysis of decentration effect by CPT and foveal contour. 
Figure 4. 
 
Interactive relationships between ΔCSF and three parameters. (A) ΔCSF-distance relationship stratified by direction. IN, inner nasal; T, temporal; the rest of the directions are in between. (B) ΔCSF-distance relationship stratified by CPT. Groups with CPT greater than 300 μm showed the statistically significant decentration distance at 200 μm (light gray area), and all groups showed significance at 300 μm (dark gray area). (C) ΔCSF-distance relationship stratified by foveal contour. Flat and dome-shaped showed the statistically significant decentration distance at 200 μm (light gray area) and all groups at 300 μm (dark gray area).
Figure 4. 
 
Interactive relationships between ΔCSF and three parameters. (A) ΔCSF-distance relationship stratified by direction. IN, inner nasal; T, temporal; the rest of the directions are in between. (B) ΔCSF-distance relationship stratified by CPT. Groups with CPT greater than 300 μm showed the statistically significant decentration distance at 200 μm (light gray area), and all groups showed significance at 300 μm (dark gray area). (C) ΔCSF-distance relationship stratified by foveal contour. Flat and dome-shaped showed the statistically significant decentration distance at 200 μm (light gray area) and all groups at 300 μm (dark gray area).
CPT
The data sample was stratified by CPT into six groups. In all groups, the ΔCSF became significantly greater than zero with large displacement distances. Among the groups, there were subtle differences. Eyes in the CPT groups of less than 100 μm, 101 to 200 μm, and 201 to 300 μm demonstrated slightly more tolerance to displacement distance of 300 μm, whereas eyes with CPT greater than 300 μm showed significant effects of displacement with a threshold at 200 μm (Fig. 4B; Table 2). Mixed model ANOVA indicated that an interactive relationship between CPT and ΔCSF-distance was statistically significant (P < 0.0001) (Table 3). 
Table 2
 
ΔCSF at the Threshold of Statistically Significant Decentration Distance
Table 2
 
ΔCSF at the Threshold of Statistically Significant Decentration Distance
Parameter Group Displacement Distance, μm ΔCSF at the Given Distance
Overall Mean of all 66 200 9.39
Direction* Superior-temporal 200 9.44
Temporal 200 8.52
Nasal 200 9.17
Superior 200 8.68
Superior-nasal 200 8.52
Inferior 200 10.36
Inferior-nasal 200 11.03
Inferior-temporal 200 9.39
CPT 0–100 300 16.00
101–200 300 16.40
201–300 300 9.81
301–400 200 10.84
401–500 200 12.96
>500 200 11.90
Foveal contour Trough 300 14.59
Flat 200 11.84
Dome 200 11.11
Table 3
 
Statistical Significance of Individual Parameters on Decentration
Table 3
 
Statistical Significance of Individual Parameters on Decentration
Parameter Effect P Value
Overall Distance <0.0001
Direction Direction <0.0001
Distance <0.0001
Direction-distance interaction 0.9992*
CPT CPT <0.0001
Distance <0.0001
CPT-distance interaction <0.0001†
Foveal contour Foveal contour <0.0001
Distance <0.0001
Foveal contour-distance interaction <0.0001†
Foveal Contour
Similarly, we stratified the data sample by foveal contour (Fig. 4C). The eyes that were classified as the trough and flat shapes showed slightly more tolerance to decentration with a threshold at 300 μm, whereas eyes with the dome shape showed a decentration threshold at 200 μm (Table 3). The interactive relationship between foveal contour and ΔCSF-distance was analyzed to be statistically significant via mixed model ANOVA (P < 0.0001). 
Magnitude of Decentration Error in CSF
The magnitude of CSF measurement error due to decentration is shown on Table 2. The overall ΔCSF for all 66 scans was 9.39 μm at 200-μm displacement from the true fovea to exhibit statistical significance. For all subgroups, ΔCSF ranged from 8.5 to 16.4 μm. The minimum of the range, 8.5 μm, approximates the lowest CSF measurement error that is statistically significant. 
Discussion
Errors caused by decentering the OCT scan with respect to the anatomical fovea have been considered as one of the major sources of imaging artifacts in OCT data acquisition. In SD-OCT, the decentration error can be corrected after acquisition by the image acquirer, but this is time-consuming and not routinely performed in busy clinical practices. In this report, we investigated the following questions: what is the minimum displacement distance between anatomical fovea and grid center where the CSF measurement exhibits statistical difference, and how large is the variation in CSF given the allowable decentration? We used one-way and mixed-effect repeated measures ANOVA models to quantify the effects of decentration. Our data showed that the effect of decentration of the grid on the measurement of CSF becomes statistically significant beyond 200 μm from the true fovea (cFovea), where the average ΔCSF values were 9.39 ± 6.05 μm. 
Our study was similar to findings in several other publications. Campbell et al. 17 examined how the center subfield thickness measurement was affected by intentionally shifting the center fixation in TD-OCT scans in healthy subjects. Their findings indicated scan decentration of 0.5 mm resulted in statistically significant difference in foveal thickness measurements. Odell et al. 18 demonstrated a correlative relationship between the decentration distance and the accumulative retinal error in both healthy and pathological subjects. Although in agreement with these findings, we used smaller decentration steps and statistical modeling, and determined the statistical threshold of decentration is approximately 200 μm. Furthermore, we categorized the normal and diseased retinas in subgroups based on direction of decentration, CPT value, and foveal contour. We confirmed that the magnitude of CSF measurement error was not affected by direction of decentration as reported by Campbell et al. 17 Similar to the directionality parameter, we also found that the decentration effect was unaffected by retinal disease type, such as AMD and diabetic retinopathy (data not shown). However, the CPT and foveal contour parameters exhibited significant interactive effect on the ΔCSF-distance relationship. Nonetheless, all eyes showed statistically significant decentration error beyond 300 μm regardless of the subgrouping scheme. 
Several publications addressed the error tolerance level that is considered to be clinically significant, which may vary with disease type and application of the OCT data. Han and Jaffe 19 defined clinically significant artifacts as greater than 50 μm of the automated and corrected CSF or change of more than 10% of the true CSF. Ho et al. 20 defined decentration as eccentric fixation greater than 0.25 mm from the true fovea and clinically significant change as greater than 11 μm. We determined in this report that at the threshold of statistically significant decentration, the minimum measurement error of CSF is approximately 8.5 μm, regardless of retinal thickness or foveal contour. This information is useful in the discussion of the clinical tolerance of error because it defines the statistical threshold at which the methodology used for determining CSF begins to fail and add measureable variability to thickness measurements. 
Additionally, our findings augment several repeatability and reproducibility studies of OCT devices in patients with retinal diseases. 18,2024 It is suspected that the repeatability and reproducibility variance is chiefly due to decentration error and/or segmentation error generated during image acquisition. 17,22,2529 The statistically significant threshold for decentration error in our result is approximately 8.5 μm of the CSF change in both healthy and various retinal pathological eyes, supporting that decentration error indeed accounts for a large portion of CSF measurement variability. Subsequently, correcting the decentration errors using new software features like Cirrus' FoveaFinder (Carl Zeiss Meditec, Inc., Dublin, CA) and Heidelberg's TruTrack Active Eye Tracking (Heidelberg Engineering Inc., Heidelberg, Germany) will reduce the decentration errors and thus improve the measurement reproducibility. 
Acknowledgments
Supported by an unrestricted fund provided by Research to Prevent Blindness Foundation to the Department of Ophthalmology, University of Wisconsin–Madison. Additional support was provided by National Institutes of Health Grant EY06594, and Senior Scientific Investigator Awards from Research to Prevent Blindness (BK, RK). The authors alone are responsible for the content and writing of the paper. 
Disclosure: J.W. Pak, None; A. Narkar, None; S. Gangaputra, None; R. Klein, None; B. Klein, None; S. Meuer, None; Y. Huang, Eyekor, LLC (I); R.P. Danis, Eyekor, LLC (I), Topcon Corporation (C) 
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Figure 1
 
Simulation of the decentration in spectral domain OCT cube scans by manually adjusting the distance between cFovea and cGrid. (A) Identification of cFovea on OCT scan. The location corresponding to the cFovea was determined by reviewing consecutive B-scans for evidence of the foveal depression and thinning of the nerve fiber layers. (B) cGrid was placed at the cFovea location and was artificially displaced from the cFovea in eight cardinal directions in steps of 100 μm within the center subfield and then in steps of 200 μm within the inner subfields. The CSF values were collected at cGrid of each displacement.
Figure 1
 
Simulation of the decentration in spectral domain OCT cube scans by manually adjusting the distance between cFovea and cGrid. (A) Identification of cFovea on OCT scan. The location corresponding to the cFovea was determined by reviewing consecutive B-scans for evidence of the foveal depression and thinning of the nerve fiber layers. (B) cGrid was placed at the cFovea location and was artificially displaced from the cFovea in eight cardinal directions in steps of 100 μm within the center subfield and then in steps of 200 μm within the inner subfields. The CSF values were collected at cGrid of each displacement.
Figure 2. 
 
Representative examples of foveal contour. (A) Normal fovea and (B) flat fovea were categorized to the difference of within ±50 μm between the CPT and the average thickness at 1100 μm away from cFovea. (C) Dome-shaped fovea to the difference greater than +50 μm and (D) trough-shaped fovea to the difference less than −50 μm.
Figure 2. 
 
Representative examples of foveal contour. (A) Normal fovea and (B) flat fovea were categorized to the difference of within ±50 μm between the CPT and the average thickness at 1100 μm away from cFovea. (C) Dome-shaped fovea to the difference greater than +50 μm and (D) trough-shaped fovea to the difference less than −50 μm.
Figure 3. 
 
Overall ΔCSF-distance relationship for all 66 scans. The mean absolute ΔCSF was plotted as connected black dots, and the dotted lines indicate the 95% confidence interval. The displacement distance that exhibited statistically significant CSF measurement error is indicated by the asterisk.
Figure 3. 
 
Overall ΔCSF-distance relationship for all 66 scans. The mean absolute ΔCSF was plotted as connected black dots, and the dotted lines indicate the 95% confidence interval. The displacement distance that exhibited statistically significant CSF measurement error is indicated by the asterisk.
Figure 4. 
 
Interactive relationships between ΔCSF and three parameters. (A) ΔCSF-distance relationship stratified by direction. IN, inner nasal; T, temporal; the rest of the directions are in between. (B) ΔCSF-distance relationship stratified by CPT. Groups with CPT greater than 300 μm showed the statistically significant decentration distance at 200 μm (light gray area), and all groups showed significance at 300 μm (dark gray area). (C) ΔCSF-distance relationship stratified by foveal contour. Flat and dome-shaped showed the statistically significant decentration distance at 200 μm (light gray area) and all groups at 300 μm (dark gray area).
Figure 4. 
 
Interactive relationships between ΔCSF and three parameters. (A) ΔCSF-distance relationship stratified by direction. IN, inner nasal; T, temporal; the rest of the directions are in between. (B) ΔCSF-distance relationship stratified by CPT. Groups with CPT greater than 300 μm showed the statistically significant decentration distance at 200 μm (light gray area), and all groups showed significance at 300 μm (dark gray area). (C) ΔCSF-distance relationship stratified by foveal contour. Flat and dome-shaped showed the statistically significant decentration distance at 200 μm (light gray area) and all groups at 300 μm (dark gray area).
Table 1
 
Sample Size Calculation and Distribution
Table 1
 
Sample Size Calculation and Distribution
Parameter Calculated Minimum Sample Size Group Sample Distribution
Overall 35 66
CPT 11 0–100 μm 11
11 101–200 μm 11
11 201–300 μm 11
11 301–400 μm 11
11 401–500 μm 11
11 >500 μm 11
Shape 15 Trough 29
15 Flat 16
15 Dome 21
Table 2
 
ΔCSF at the Threshold of Statistically Significant Decentration Distance
Table 2
 
ΔCSF at the Threshold of Statistically Significant Decentration Distance
Parameter Group Displacement Distance, μm ΔCSF at the Given Distance
Overall Mean of all 66 200 9.39
Direction* Superior-temporal 200 9.44
Temporal 200 8.52
Nasal 200 9.17
Superior 200 8.68
Superior-nasal 200 8.52
Inferior 200 10.36
Inferior-nasal 200 11.03
Inferior-temporal 200 9.39
CPT 0–100 300 16.00
101–200 300 16.40
201–300 300 9.81
301–400 200 10.84
401–500 200 12.96
>500 200 11.90
Foveal contour Trough 300 14.59
Flat 200 11.84
Dome 200 11.11
Table 3
 
Statistical Significance of Individual Parameters on Decentration
Table 3
 
Statistical Significance of Individual Parameters on Decentration
Parameter Effect P Value
Overall Distance <0.0001
Direction Direction <0.0001
Distance <0.0001
Direction-distance interaction 0.9992*
CPT CPT <0.0001
Distance <0.0001
CPT-distance interaction <0.0001†
Foveal contour Foveal contour <0.0001
Distance <0.0001
Foveal contour-distance interaction <0.0001†
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