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D. Cortez et al. /Journal of Electrocardiology 47(2014)12-19
for a recent myocardial infarction (MD); and 2)data from the entered into Microsoft Excel, as one might imagine a
first 50 subjects in the PtB database whose demographics clinician also eventually doing. Both inter-observer and
files characterized them as"healthy controls, beginning intra-observer variation in the visual measurements were
ith PTB subject 104 In the recent Mi group, the mean sd also studied
age was 58.8+11.3 years, and 72% were males. In the healthy
For comparison purposes the raw binary data files from
control group, the mean t SD age was 43.5+ 14.7 years, and the Ptb database were also processed in a fully automated
76%were males. A second analysis was performed excluding fashion (i. e, without any visual dependence) by using
those patients and subjects with bundle branch blocks(PTB software developed by the senior authors laboratory at
files 010, 025, 078, 083,,,,, 123,126, NASAS Johnson Space Center 3, 4, 18. Initial analyses
130,131)
revealed that all of the selected files except file 079(which
demonstrated a paced rhythm) had at a minimum 40 QRS
Data analyse
complexes that were acceptable for automated signal
averaging in all channels when using a minimum cross
For all visual analyses, the first 10 seconds of the raw correlation cutoff of 97% against the signal-averaged QrS
binary 12-lead ECG data files from the ptb database was templates formed for each channel in each file, as previously
first converted to standard communications protocol for described [3, 4, 18]. Thus, 40-beat signal averages were also
computer-assisted electrocardiography(SCP)format. The
ltimately constructed for each patient's file, the principal
SCP files were then visualized and manually quantified purpose of signal averaging being to help to eliminate any
independently by two authors in the standard 10-mm/mv
transient or non-reproducible effects that would more likel
and 25-mm/s format using a publicly available SCP ECG influence single beats than signal averages, such as the
viewer(Erasmus MC ECG Viewer software)as shown in precise location in the respiratory cycle when the data were
Fig. 1. For simplicity sake, the angles shown and subsequent obtained Fully automated results for the spatial peaks Qrs
statistical calculations are from the first observer's measure- T angle were then also calculated both directly, from the
ments, while those from the second observer were used for Frank XYZ-lead recordings themselves (which served as the
inter-observer variability. Visual estimates of the tallest " gold standard"), and from the simultaneous 12-lead ECG
wave or deepest s wave, respectively, whichever was recordings by using the regression-related method of Kors
absolutely greater, were specifically made, as were similar et al.[17
estimates for each relevant t wave. each to the nearest
0. 05 mV. while blindness was maintained to the true frank
Statistics
lead-related and other automated results. When beat-to-beat
Statistical evaluations were performed using PSPP
variation was found in any given amplitude, the tallest peak
statistics program(Free Software Foundation INC) as well
(or deepest trough) was used while also seeking out the
as IBMs SPSS Statistics software, separately for the 100
flattest possible baselines. Those R or S and T voltage values
post-myocardial infarction patients and the 50 healthy
with the greatest deviations from the baseline were then the
subjects, both before and after all patients with bundle
inputs used in the respective visual transformation methods, branch bl
clocks (five post-MI patients and eight control
specifically in: 1) the regression-related and also quasi
subjects) were excluded. Analysis of variance (ANOVA)
orthogonal-related methods described by Kors et al.[17]; 2)
was used to study differences in results from the true Frank
the quasi-orthogonal method described by bjerle and
leads versus those from each of the visually estimated
Arvedson [22]; 3) the inverse Dower method as described
methods. Pearson correlation coefficients were used to test
by Edenbrandt and Pahlm 23]; 4) the method of Hyttinen et
correlation of the visually estimated methods against the
aL. [24; 5)both the post-myocardial infarction(MI)and
gold-standard values from the true Frank leads as well as to
healthy control-specific methods described by dawson et al
test correlation of the visually estimated Kors'regression-
1251, and 6) the QRS-optimized method described by related spatial peaks ORS-T angle values against those
Guillem et al. [26]. All of the above methods generally de
derived from the fully software-automated Kors'regression-
require advanced computerized techniques to obtain the
related procedure. For the two visual methods that ultimately
waveform amplitudes. However for this study, purely visual
performed with the greatest precision, namely the Kors
estimates of amplitudes from the scalar ECG from within the
regression-related and Kors quasi-orthogonal methods, lines
Erasmus mc ecg viewer software were used as the basis
of concordance were also graphed comparing values of the
for evaluating all of the above methods (with the online
spatial peaks qrs-t angles derived from each against those
appendix addendum, Table 1, summarizing the specific
derived from the true frank lead gold standard. bland
coefficients called for by cach individual visual method)
Altman plots were also used to assess limits of agreement
Calipers were not used but rather purely visual estimations to between angles derived from each aforementioned method
within 0.05 mV, to best approximate results when calipers
and the true Frank lead values [27]
would not be available. A standard gain of 10 mm/mv was
generally used, but when further clarity was necessary, the
gain was adjusted as needed in the Erasmus MC ECO
Results
Viewer software, for example when the voltages from two
different leads impinged upon one another at the 10-mm/mV
Pearson correlation coefficients for the variability of the
gain setting. These visually estimated amplitudes were visual estimates of the spatial peaks Qrs-t angle for the
D. Cortez et al. /Journal of Electrocardiology 47(2014)12-19
Table 1
Spatial Pcaks QRS-T angle valucs, all cascs includcd
Spatial peakS QRS-T
Pearson correlation
Bland-Altman 95%
angle(), mean+ SD
coefficient
2-tailed
limits of agreement
Control group(N= 50)
Frank lead
41.7±27.1
1.00
Kors regression-related
40.7±23.5
0.78
0.01
isual Kors'regression-related
45.4±24.5
0.
0.01
38.9t031.8
Visual Kors quasi-orthogonal
46.4±23.0
0.76
39.0to30.1
Visual guillen
54.7±27.9
0.70
51.1to36.0
Visual Bjerle quasi-orthogonal
49.2±26.3
0.66
0.01
51.1to36.0
Visual hytinnen
41.6±219
0.61
0.01
43.1to43.8
Visual Dawson (for control)
77.7士37.4
0.62
0.01
94.8to22.5
Visual inverse dower
52.8±32.9
0.59
<0.01
70.1to43.3
Post-MI(N= 100)
rat
68.9±40.9
00
Kors' regression-related
76.4±42.1
<0.01
Visual Kors’ regression-related中
756±39.4
0.82
<0.01
54.7to38.5
Visual Kors quasi-orthogonal
79.7±43.0
0.73
0.01
70.8to47.4
Visual guillem
80.2±42.2
0.74
0.01
72.5to462
Visual Bjerle quasi-orthogonal
5⊥4
0.51
<0.01
93.9to68.8
Hytinnen
69.3±38.2
0.70
0.01
60to57.5
Visual Dawson(for post-MD)
81.8±49.7
0.61
97.6to67.6
Visual Inverse Dower
73.5±42.3
0.71
0.01
70.2to57.2
Total group(N= 150)
Frank lead
598±389
Kors regression -related
64.5±40.6
0.85
<0.01
Visual Kors regression-related
65.5士37.9
0.84
<0.01
498to36.7
Visual Kors quasi-orthogonal
68.6±40.6
0.7
0.01
6l.8to43.4
Visual guillem
71.7±40.2
0.76
0.01
67.1to40.8
Visual Bjerle quasi-orthogonal
70.8±40.1
0.60
0.01
Visual llytinnen
60.0⊥36.1
0.73
<0.01
56.3to53.4
Visual Dawson (post-MI I control)
80.4⊥459
0.59
<0.01
998to55.8
Visual invcrsc dower
66.6±40.5
0.71
0.01
69.0to52.7
Denotes fully automated method through specialized software
b Denotes visual method with Pearson correlation coefficient closest to I
Kors'regression-related and Kors quasi-orthogonal methods
agreement, and with the smallest correlation coefficient
were98 and 0.97(intra-observer variability ), and 0.95 and (0.59), was the visual Inverse Dower method
0.98(inter-observer variability ), respectively. Associated
The Pearson correlation coefficients for the same
Bland-Altman 95% confidence intervals were relatively control group but excluding those with bundle branch blocks
narrow with lower to upper limits of-15.6 to+13.7(intra
(Table 2) showed a similar order of corrclation and 95% limit
observer) and-209 to +24. 1 (inter-observer), respectively. of agreement by method, but with mildly improved precision
Table I shows the mean sD results for the spatial peal
for the Kors' regression-related and quasi-orthogonal
QRS T angle as well as the two-tailed p-values and pearson
methods( correlation coefficients of0.80
correlation coefficients, against the gold-standard results for
For the post-MI group again all methods produced results
each transform in the control, post-MI and overall groups. for the spatial peaks Qrs-T angle that were not significantl
Table 2 shows similar information but excluding all cases different from those produced by the true Frank leads. The
with bundle branch blocks. Tables 1 and 2 also show the visual Kors'regression-related and Guillem et al. methods
Bland-Altman limits of agreement for each visual method yielded the highest Pearson correlation coefficients at 0.82
compared to the true frank lead-related results for the spatial
and 0.74, respectively while the least correlated method for
QRS-T angle
the post-MI patients was Bjerle and Arvedson's quasi
Surprisingly, for the control group, all visually derived orthogonal method(correlation coefficient of 0.51). The
spatial peaks QRS-T angles were not statistically signifi- narrowest Bland-Altman 95% limits of agreement were from
cantly different than those automatically derived from the the Kors' regression-related followed by the Kors'quasi-
true Frank leads. The visual estimation methods with largest orthogonal methods. The Pearson correlation coefficients fo
Pearson correlation coeffi
for the control group were the same post-MI group but excluding those with bundle
Kors'regression-related and quasi-orthogonal methods, with
branch blocks showed a similar order by visual method, again
correlation coefficients of0. 76. The visual Kors' regression
with improved correlation for the Kors'regression-related
related and visual Kors quasi-orthogonal methods also and Guillem et al. methods(coefficient values of 0.88 and
yielded the narrowest and second narrowest Bland-Altman 0.79, respectively), while the visual Kors quasi-orthogonal
95% limits of agreement, respectively The visual estimation
(0.76)and Bland-Altman 95% limits of agreement Efficient
method also produced a respectable correlation co
method with the widest Bland-Altman 95% limits of
D. Cortez et al. Journal of Electrocardiology 47(2014)12-19
Table 2
Spatial pcaks QRS-T angle valucs, excluding cascs with bundle branch blocks
Spatial peakS QRS-T
Pearson correlation
p-Value
Bland-Altman 95%
angle(),mean±SD
coefficient
2-tailed
limits of agreement
Control group(N=42)
Frank lead
42.6±24.8
1.00
<0.01
-35.3to27.8
Kors'regression-related
42.1±24.7
0.90
<0.01
-51.1to36.20
Visual Kors'regression-related
46.6±25.4
0.80
0.01
-32.5to26.5
Ⅴ isual guillen
45.7±22.0
0.75
0.01
50.6to26.3
Visual Bjcrlc quasi-orthogonal
47,8±24.0
0.61
0.01
48.2to37.1
Visual hytinnen
43.6±22.4
<0.01
67.1to36.7
Ⅴ isual dawson control
76.7±39.7
0.69
0.01
-91.6to229
Ⅴ isual inverse dower
53.7±35.0
0.01
64.3to42.0
Post-MI (N=95)
Frank lead
693±41.0
100
Kors regression-related
744士414
0.90
0.0)1
Ⅴ isual Kors’ regression- related
736±38.3
0.88
-44.3to32.5
Visual Kors quasi-orthogonal
78.3±42.0
0.76
64.4to444
Visual guillem
78.5±42.1
0.79
0.01
64.5to41.9
Visual berle quasi-orthogonal
80.4±40.3
0.54
0.01
88.7to644
Visual llytinnen
68.4⊥38.0
0.75
57.1to53.9
Visual dawson mi
79.9±48.9
0.64
<0.01
91.0to65.3
Visual inverse dower
72.0±41.7
0.75
<0.01
-63.3to54.0
Total
(N=137)
Frank lead a
61.1±38.7
1.00
Kors'regression-related
64.5±399
0.9
<0.01
Visual Kors'regression-related
65.3±36.9
0.88
41.7to31.2
Visual Kors quasi-orthogona
68.3±39.9
0.80
<0.01
56.3to40.6
Visual guillem
71.2±40.1
0.80
0.01
60.6to375
Visual Berle quasi-orthogonal
70.4±39.0
78.2to579
Visual Hytime
60.8±35.8
0.77
0.01
51.6to4192
Visual Dawson(controls I post-MD)
789⊥46.2
94.2to554
Visual inverse dower
664⊥40.5
0.74
0.01
63.8to504
Denotes fully automated method through specialized software
b Denotes visual method with Pearson Correlation Coefficient closest to 1
For the total group(combined post-MI and controls), the control patients. This cutoff was chosen only for conve
visual Kors regression-related and quasi-orthogonal nience, specifically as one other way of evaluating the
methods again yielded the most correlated results, with
relative methodological performance of the various visual
correlation coefficients against the gold standard of 0. 84 and methods, in this case for distinguishing between the control
0.77, respectively, and with commensurate results for the and post-MI patients as determined by the true Frank leads
Bland-Altman limits of agreement. As applied visually, the within the study data set itself. (It is not meant to provide
methods described by Dawson et al.(combined control- any suggested cutoff value for clinical usage at large.)
specific and post-MI-specific) yielded the lowest overall
Pearson correlation coefficient (0.59) for the total group as
Table 3
well as widest Bland-Altman 95%u limits of agreement. The
Sensitivities and specificities for each vi
method for detecting
Pearson correlation coefficients for the total group without a spatial QRS-T angle value 2 standard deviations above the mean in
bundle branch blocks showed a similar order of correlation by
controls
method, with improved coefficient values for the visual Kors
Group
Sensitivily(95%
Specilicity(95%
regression-related, Kors quasi-orthogonal, and Guillen et al
confidence intervals
confidence intervals)
methods of 0.88, 0.80, and 0.80 respectively. As with the
Frank lead
1.00(0.841.00)
1.00(0.961.0)
individual groups more narrow limits of agreement were also
Kors'regression-related 0.81(0.60-0.93)
0.93(0.86-0.96)
noted when bundle branch blocks were excluded
Visual Kors
0.89(069-0.97)
09400.87-0.97)
Results from the overall most precise and accurate
regression-related
Visual Kors'
0.81(0.60-0.93)
visual method(the visual Kors' regression-related method)
0.87(0.80-0.92)
also showed good correlations with those from the Kor
Visual guillem
0.81(0.60-0.9
0.90(0.82-0.94)
regression- related method as derived fully automatically in
Visual bjerke
0.77(0.56-0.90)
0.82(0.74-0.88
software (Pearson correlation coefficients between 0.92
quasi-othogonial
and 0.93, exact values depending on the specifically
Visual hytinnen
0.73(0.52-0.88)
0.94(0.87-0.97)
Visual dawson
studied group)
0.8100.60-0.93)
0.69(0.60-0.76)
(MI+ control)
Table 3 shows the methodological sensitivity and
Visual inverse Dower
0.81(0.60-0.93)
0.86(0.78-0.91)
specificity of each visual estimation method for detecting
a true Frank lead-derived spatial peaks qrs-t angle value
Mean t SD spatial peaks QRS-T angle from the true Frank leads in
controls =41.7+27. 1 degrees
>2 standard deviations above the mean value for the
Two SD above that mean=95.8 degrees
D. Cortez et al. /Journal of Electrocardiology 47(2014)12-19
17
r=076
Ba0
0.76
120
120
a100
a100
而,∽∝0
80
k80
的品O兰
120
140
100
120
Kors'regression-related spatial QRS-Tangle(degrees)
Kors' quasi-orthogonal spatial QRS-Tangle(degrees
200
200
r=0.73
180
180
r=082
160
160
d140
140
120
120
100
旨
曰80
60
3
2、
40·"32
20
020406080100120140160180200
020406080100120140160180200
Kors'regression-related spatial QRS-Tangle(degrees)
Kors'quasi-orthogonal spatial QRS-Tangle( degrees
Fig. 2. Lines of concordance for spatial peaks QRS-T angle results from the true Frank leads against those from the: (A)visually applied Kors' regression-related
transform in controls; (B) visually applied Kors'quasi-orthogonal transform in controls; (C)visually applied Kors regression- related transform in post-MI
patients; and(D) visually applied Kors' quasi-orthogonal transform in post-MI patients
When methodological performance against the Frank lead
rammed to apply Korset al 's transforms. Of the two
related gold-standard results was quantified in this fashion visual-based estimates, the results from Kors'quasi-
(Table 3), the visual Kors regression-related method again
orthogonal method clearly showed more undesirable scatter
had the best methodological performance of all visual around the line of best fit for both the controls and even
methods tested
more so for the post-MI patients
Fig. 2A-D depicts concordance correlation plots. The
values of the spatial peaks QRS-T angles from the true
Frank leads are plotted with a line of best fit for each graph
Discussion
For each particular group of patients, control or post-MI
the values for the gold-standard spatial peakS QRs-l
The most important finding from this study is that spatial
angles are shown against those derived from the two most peak QRS-T angle results derived from a purely visual
overall precise visual methods, specifically from the visual application of Kors' regression-related transform can, with
Kors regression-related and the visual Kors' quasi- reasonable accuracy and precision, estimate simultaneous,
orthogonal methods, respectively. For all of the depicted automatically derived results from the true Frank leads
plots, the spatial peaks QRS-T angles from the Kors- Correlation coefficients are typically the 0.78-0.90 range
related procedures were visually estimated by first quickly but with exact values depending on the specific clinical group
calculating the appropriate peak and/or trough r or S and being studied. Not unexpectedly, correlation coefficients
T-wave voltages from the scalar ECG, and then inputting against the gold standard are slightly lower with purely visual
those values into a simple Excel spreadsheet pre-pro- estimates than with estimates obtained by a fully automated
D. Cortez et al. /Journal of Electrocardiology 47(2014)12-19
Kors'regression-related transform(0.90-0.91). Moreover would seem that when one utilizes a quasi-orthogonal
these coefficients deteriorate slightly further whenever method in order to save time and maximize convenience, that
bundle branch block cases are included in the analyses
for now Kors et al. 's method would be the quasi-orthogonal
The purely visually based implementations of other method of choice. Improvements to all transforms will likely
transforms-specifically of Kors' simpler quasi-orthogonal require further studies that are iterative in nature, possibly
method, Guillem et al.'s method (the coefficients of which starting with the best transforms currently in hand (i.e
are advantaged by having been originally derived from the
Kors,)and adding further"tweaks, " but in any case ideal
same Physionet data set), Bjerle and Arvedson's quasi- employing both the standard and true Frank leads in
orthogonal method, the inverse Dower method, Hytinnen et increasingly large populations. For now an alternative is
al 's method and Dawson et al.'s methods performed that certain cell phone applications may eventually be able to
with lesser (and varying) degrees of accuracy for both calculate the angle with even greater precision and accuracy
healthy control subjects and post-MI patients, regardless of from a simple photo of the eCG, for example by using Kors
whether patients with bundle branch blocks are included
full eight-channel regression transform in conjunction with
Bland-Altman 95% limits of agreement also followed a an image processing technique
Simiar order
Potentially the finding of greatest interest in relation to
these other transforms was the fact that Kors quasi- Conclusion
orthogonal method, which is arguably very simple (i.e, not
is possible to visually estimate, with reasonable
time consuming) to visually perform, gave the second
highest Pearson's correlation coefficient for the control and
precision and accuracy, the spatial peaks Qrs-T angle
all groups, performing especially well when individuals
from any standard scalar 12-lead eCg tracing. While
with bundle branch blocks were excluded. This particular
results from a visual application of Kors' full eight-channel
regression transform most closely estimate simultaneous
transform would only require that clinicians visually
estimate the amplitudes of the Qrs and t waveform peaks
results from the true frank leads (and even more closely
and/or troughs in conventional leads Il. v2 and V6. and then
estimate simultaneous results from a fully automated
enter those estimates into a phone-, tablet- or other computer.
implementation of Kors' regression transform), Kors'et
based calculator
al 's other transform--i.e, the quasi-orthogonal one--also
Not surprisingly, most methods yielded slightly lower
offers a potentially more convenient, albeit slightly less
correlation coefficients when studying the post-MI group
precise, method for visually accomplishing the same goal
compared to the control group. Excluding subjects with
Of note though is that especially with respect to purely
bundle branch blocks from the analyses also tended to
visual estimates, the precision of all methods improves
improve pearson correlation coefficients and tighten bland
when patients with bundle branch blocks are excluded. For
Altman 95% limits of agreement for all methods. Such
this reason when performing visual estimates of the spatial
improvement might be expected from any visual method
peaks QRS T angles on 12-lead ECGs, we would
that closely approximates the true spatial peaks Qrs-tangle
commend for now that patients with bundle branch
blocks be excluded
inasmuch as bundle branch blocks as well as the acuteness of
such blocks, typically affect the maximum amplitudes of the
An Excel spreadsheet application containing implementa-
QRS and T-wave complexes [28]. Both the presence and
tions of the Kors' regression-related and quasi-orthogonal
dynamics of bundle branch blocks therefore likely add
methods has been made available for free download at
variability to visually based estimates. but clearly either with
https://di.droPbox.com/u/45234083/spatial%20qrs-
or without bundle branch blocks. the Kors'regression-related
T%%20worksheet xIs
and Kors'quasi-orthogonal methods yielded overall the best
Supplementary data to this article can be found online at
results for visually estimating the true Frank-related spatial
http://dx.doi.org/10.1016/j-jelectrocard.2013.09.003
peaks QRs T angle from the scalar 12-lead ECG. However
more "scatter" was observed for the visual Kors' quasi
Acknowledgments
orthogonal transform than for the visual Kors regression-
The authors thank physionet and erasmus Mc for
related transform, especially at larger absolute angles
Also of note and not unexpectedly, the visually
provision, respectively, of the online database and the SCP
implemented Kors'regression-related transform had even
ECG viewer utilized in this study
higher Pearsons correlation coefficients(between 0.92 and
0.93 for controls, post-MI and total patients) when its results
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