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Original article 459
Time-weighted vs. convention
al quantification of 24-haverage systolic and diastolic ambulatory blood pressuresJose A. Octavioa,b, Jesus Contrerasb, Pablo Amairb, Bernardo Octavioa,Domenico Fabianoa, Federico Moleiroa, Stefano Ombonic,Antonella Groppellic, Grzegorz Biloc, Giuseppe Manciac,dand Gianfranco Paratic,d
Background Conventional calculation of mean 24-h
ambulatory blood pressure (BP), SBP and DBP based on
the average of all BP readings disregards the fact that a
larger number of measurements is usually scheduled
during the daytime than at night, an imbalance possibly
leading to an overestimation of 24-h average BP. The aim of
our study was to quantify this possible bias and to explore
its determinants.
Methods Four hundred and fifty untreated individuals were
subdivided into three groups (150 individuals each) with
three different ambulatory blood pressure measurement
schedules for day/night: group I, four (day)/two (night)
readings/h; group II, four (day)/three (night) readings/h;
and group III, with BP readings every 30 min throughout
24 h. Hourly and 24-h averages were computed. The
conventional 24-h averages of all SBP and DBP values were
compared with the averages of hourly SBP and DBP mean
values (time-weighted quantification). The difference
between 24-h conventional and 24-h time-weighted BP was
computed in each group and related to the degree of
nocturnal BP dip and to the ratio between the number of
readings of day and night.
Result In the three groups, 24-h conventional and 24-h
time-weighted BP values were highly correlated (r > 0.99),
24-h conventional SBP and DBP being significantly higher
(P < 0.01) than the corresponding 24-h time-weighted
values in groups I and II but not in group III (Bland–Altman
Copyright © Lippincott Williams & Wilkins. Unaut
0263-6352 � 2010 Wolters Kluwer Health | Lippincott Williams & Wilkins
analysis). The bias magnitude was related to the day/night
ratio in number of readings and to nocturnal BP dip in
groups I and II (P < 0.01) but not in group III.
Conclusion The higher number of readings/h during
daytime leads to an overestimation of conventional 24-h
average BP, particularly in individuals with preserved
nocturnal BP dipping. This can be avoided either by
scheduling the same number of readings/h throughout
24 h or by performing a time-weighted quantification
of 24-h BP. The clinical implications of these different
approaches deserve further investigation. J Hypertens
28:459–464 Q 2010 Wolters Kluwer Health | Lippincott
Williams & Wilkins.
Journal of Hypertension 2010, 28:459–464
Keywords: ambulatory blood pressure monitoring, average 24-h bloodpressure, nocturnal blood pressure fall, time-weighted analysis
Abbreviation: ABPM, ambulatory blood pressure monitoring
aExperimental Cardiology, Tropical Medicine Institute, Central University,bHospital de Clinicas Caracas, Caracas, Venezuela, cDepartment of Cardiology,IRCCS San Luca Hospital, Istituto Auxologico Italiano and dDepartment ofClinical Medicine and Prevention, University of Milano-Bicocca, Milan, Italy
Correspondence to Professor Gianfranco Parati, MD, IRCCS Ospedale SanLuca, Istituto Auxologico Italiano, via Spagnoletto 3, 20149 Milan, ItalyTel: +39 02 619112949/890; fax: +39 02 619112712/956;e-mail: [email protected]
Received 2 October 2009 Accepted 2 November 2009
IntroductionAmbulatory blood pressure (BP) monitoring (ABPM)
carries important information in the management of
hypertensive patients [1–12], 24-h average systolic
(SBP) and diastolic pressures (DBP) being among the
most important parameters considered. In the majority of
cases, these 24-h averages are computed as the mean of
the total number of readings obtained during the whole
24-h recording time. On the contrary, ABPM devices are
programmed with a variety of BP measurement schedules
in different centers. In some of them, ABPM devices are
programmed to obtain BP measurements evenly spaced
throughout the 24 h, with BP readings every 60, 30, 20 or
15 min [6,13,14]. In other centers, a different frequency of
measures is scheduled during the daytime and the night-
time, with BP measurements programmed every 15, 20
or 30 min during the day and every 20, 30, 40 or 60 min
during night [15–18]. When using more frequent
measurements per hour during the day than during the
night, the calculation of 24-h SBP and DBP based on the
average of all 24-h values introduces a bias related to
the greater relative weight of the higher daytime over the
lower night-time number of BP values. To our know-
ledge, the magnitude of this bias has not been specifically
addressed before and is not usually taken into account
when interpreting ABPM data. The aim of our study was
to investigate the practical relevance of this methodo-
logical problem by comparing the 24-h SBP and 24-h
DBP values obtained by averaging all readings (conven-
tional method) with those obtained by the average of
horized reproduction of this article is prohibited.
DOI:10.1097/HJH.0b013e328334f220
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460 Journal of Hypertension 2010, Vol 28 No 3
Table 1 Number of blood pressure readings for the daytime, thenight-time and the 24-h period, and the day/night ratio of suchnumbers
Daytime Night-time 24-h 24-h D/N ratio
Group I 61.5�5.2 13.9�0.5 75.4�5.3 4.4�0.4Range 49–71 12–17 63–85
Group II 63.2�4.0 21.8�2.2 85.0�4.8 2.9�0.3Range 40–73 15–28 56–95
Group III 34.7�2.6 13.9�0.6 48.5�2.5 2.5�0.2Range 29–39 13–16 42–54
Values are expressed as mean�SD, with the addition of the range betweenmaximum and minimum number of readings for each of the three groups con-sidered in our study. 24-h D/N ratio, ratio between 24-h daytime and night-timemeasurements.
hourly BP means, that is, by a method that takes the
different frequency of BP measures per hour during
daytime and night-time into account (time-weighted
method). This comparison was made by considering data
obtained from ABPMs performed with different BP
measurement schedules during the day and night.
MethodsFor our study, we considered good quality ABP recordings
consecutively performed in 450 patients who were referred
for the first time to our three centers (one in Milan, Italy,
and two in Caracas, Venezuela) for suspected arterial
hypertension and, thus, were not under treatment at the
time of the study. Because of the differences in the usual
procedures followed by the three different centers in
programming ABPM devices, we were able to obtain three
sets of recordings, including data from 150 individuals
each, characterized by three different BP measurements
scheduled over the 24 h: group I, with BP readings every
15 min during the daytime (0600–2300 h) and every
30 min during nighttime (2300–0600 h); group II, with
BP readings every 15 min during the daytime and every
20 min during night-time; and group III, with BP readings
scheduled every 30 min during the whole 24-h period.
Recordings with less than 75% of the total number of
readings programmed over the 24 h, the daytime and the
night-time, were excluded from further analysis. Record-
ings with 2 or more consecutive hours without successful
measurements were also excluded.
Data analysisFor each recording, we computed the number of readings
obtained over the 24 h, the daytime and the night-time.
The ratio between the number of BP readings obtained
during daytime and night-time was also computed. The
average 24-h SBP and DBP values were estimated with a
dedicated software in two different ways: by the conven-
tional method (average of all values) and by calculating the
mean of hourly averages during the 24 h (time-weighted
method). The degree of nocturnal dip of SBP and DBP was
also calculated as the percentage difference between day-
time (0600–2300 h) and nighttime (2300–0600 h) mean
values. In each group, we assessed the correlation between
the 24-h SBP and 24-h DBP values obtained by the two
methods (conventional vs. time-weighted). The differ-
ences in overestimation bias for SBP and DBP between
the three groups were calculated and compared by one-
way analysis of variance (ANOVA) with Bonferroni’s cor-
rection. The difference in 24-h BP values obtained by the
two methods was also assessed by the Bland–Altman
analysis. For each group, the correlation of the between-
method difference in 24-h SBP or DBP with the degree of
nocturnal dip of SBP and DBP was also explored. For each
group, Pearson correlation coefficients between the con-
ventional vs. time-weighted method difference in 24-h BP
and the day/night ratio in the number of readings during
the 24 h were also assessed. A P value of less than 0.05 was
opyright © Lippincott Williams & Wilkins. Unauth
taken as the minimum level of statistical significance
throughout the study. Values are expressed as mean�SD,
SD, unless otherwise indicated.
ResultsTable 1 shows the number of BP readings obtained in each
group during the daytime, the night-time and the entire
24-h period. The day/night ratio in reading number was
much higher in group I than in groups II and III. Although
24-h SBP or 24-h DBP obtained by the conventional
method and by the time-weighted method in each group
was closely correlated (r values always>0.99), the average
values obtained by the two methods were significantly
different. This is shown in Fig. 1 by Bland–Altman
analysis of the differences between conventional and
time-weighted 24-h SBP or 24-h DBP values obtained
in the three groups. In group I, in which the day/night ratio
in the number of measurements was 4.4þ 0.4 (Table 1),
the mean overestimation biases associated with the use of
conventional analysis were 1.95� 1.4 and 1.5� 1.0 mmHg
for 24-h SBP and DBP, respectively. In group II, in which
the day/night ratio in the number of measurements was
around 2.9þ 0.3 (Table 1), the corresponding mean over-
estimation biases carried by conventional analysis were
0.5� 0.7 and 0.4� 0.5 mmHg for 24-h SBP and DBP,
respectively, whereas in group III, in which the day/night
ratio in the number of measurements was around 2.5þ 0.2
(Table 1), they amounted to 0.3� 0.8 and 0.2� 0.5 mmHg
for 24-h SBP and DBP, respectively. The among-group
differences were all statistically significant (P< 0.05
ANOVA), except for the overestimation bias of SBP
between groups II and III. In Fig. 2, the overestimation
bias associated with conventional assessment of average
24-h SBP and DBP values is plotted vs. the nocturnal SBP
and DBP dips, separately for each group. In group I, the
correlation coefficient between the two sets of values was
very high (r¼ 0.88 and r¼ 0.86 for 24-h SBP and DBP,
respectively, P< 0.001), whereas in group II, it was lower
(r¼ 0.56 and r¼ 0.48 for 24-h SBP and DBP, respectively),
although still significant (P< 0.001). Conversely, in group
III, the estimation bias was unrelated to SBP and DBP
nocturnal dip. In Fig. 3, the magnitude of the 24-h average
SBP and DBP overestimation, associated with their
conventional assessment, is plotted as a function of the
orized reproduction of this article is prohibited.
Conventional vs. time-weighted BP analysis Octavio et al. 461
Fig. 1
6
4
2
0
80 100 120 140 160 180
80 100 120 140 160 180
(24hBP conventional - 24BP time weighted)/2 (mmHg)
Systolic blood pressure Diastolic blood pressure
(24-
h B
P c
onve
ntio
nal -
24-
h B
P t
ime
wei
ghte
d)/
2 (m
mH
g)
100 120 140 160 180 200
−2
6
4
2
0
0
1
2
3
806040 100 120
1008060 120 140
806040 100 120
−2
−2
−1
0
1
2
3
−2
−3
−1
0
1
2
3
−2
−3
−1
0
1
2
3
−2
−1
Bland–Altman analysis of the differences between 24-h blood pressures obtained by conventional and time-weighted analysis. Top panels: group I;intermediate panels: group II; bottom panels: group III. Left panels and black circles: 24-h SBP. Right panels and white circles: 24-h DBP. Solid linein each panel: mean value of overestimation bias. Dotted lines: 2 SD over and under mean. BP, blood pressure.
day/night ratio in BP readings number, separately for each
group. In group I, there was a weak correlation between the
two sets of values only for 24-h DBP, whereas in groups II
and III, the bias magnitude was always significantly and
consistently correlated with the day/night ratio in the
number of readings, both for SBP and DBP.
DiscussionOur study provides an important contribution to the
clinical interpretation of average 24-h ambulatory BP
data by demonstrating that the usual estimate of 24-h
SBP and DBP mean values obtained by averaging all BP
readings obtained during 24 h (conventional method)
leads to an overestimation of the 24-h BP mean levels
computed according to a time-weighted approach able to
account for the different number of values obtained
during daytime and nighttime, respectively. Our data
indeed suggest that the overestimation bias affecting
the conventional approach is at least, in part, due to
the higher number of readings per hour commonly sched-
uled during the day than at the night. Indeed, when the
ratio between the number of BP measurements per-
formed during the day and night was higher, as in our
group I, the overestimation bias associated with use of
Copyright © Lippincott Williams & Wilkins. Unaut
conventional assessment of 24-h average BP levels was
also significantly higher. Conversely, when the difference
in the number of BP readings scheduled to be performed
during the daytime and the night-time was minimal, the
24-h BP overestimation bias was negligible, as observed
in our study in groups II and III.
The size of the ratio between the number of BP measure-
ments performed during the day and night depends on
two parameters, that is, on the number of readings per
hour scheduled during day and night and on the differ-
ence in the number of hours included in the day and night
subperiods. It is interesting to note that the difference in
the average 24-h BP values computed by the conven-
tional and by the time-weighted methods disappears
when ABPM contains the same number of readings
per hour along the 24 h. We have to acknowledge that
our ‘time-weighted’ method accounts for a possible
difference in the number of readings per hour during
the day and night, but it does not account for the different
number of hours between daytime wakefulness and
night-time sleep. The latter difference is related to the
‘physiological’ longer duration of the awake as compared
with the asleep periods during 24 h in daily life. Indeed,
horized reproduction of this article is prohibited.
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462 Journal of Hypertension 2010, Vol 28 No 3
Fig. 2
6
4
2
0
−2−20 −10 0 10 20 30 40 −20 −10 0 10 20 30
−10 0 10 20 30−10 0 10 20 30
40
−20 −10 0 10 20 30 40 −20 −10 0
Nocturnal blood pressure fall (%)
Systolic blood pressure
r = 0.88P < 0.001
r = 0.86P < 0.001
r = 0.48P < 0.001
r = 0.56P < 0.001
r = 0.15ns
r = 0.12ns
Diastolic blood pressure
Ove
rest
imat
ion
bia
s (m
mH
g)
10 20 30 40
3
2
1
0
−2
−1
0
1
2
3
−1
6
4
2
0
−2
3
2
1
0
−2
−1
0
1
2
3
−1
Correlation between nocturnal dip and calculated ‘bias’. Superior panels: group I; intermediate panels: group II; lower panels: group III. Left panelsand black circles: 24-h SBP. Right panels and white circles: 24-h DBP. Inserts in each panel: correlation coefficients and their statistical significance.NS, not significant.
daytime values physiologically exert a greater influence
than night-time values on the 24-h BP average level, and
this imbalance has to be accepted simply because we
usually spend more time awake than asleep.
As a corollary of the above observations, another import-
ant result of our study that deserves to be discussed is
the observed relationship between the magnitude of
the overestimation bias and the degree of nocturnal BP
fall. This relationship appears to be largely a function of
the day–night difference in the number of BP readings.
In fact, when the BP measurements are significantly more
frequent during the day than during the night, as in
groups I and II of our study, the bias associated with
the conventional calculation of 24-h BP averages
increases with the increase in magnitude of the nocturnal
‘dip’ (Fig. 2), the overestimation bias being as high as
5 mmHg in individuals with a pronounced nocturnal
BP fall.
Twenty-four-hour ABPM is increasingly used in the
diagnosis of hypertension, in the stratification of BP-
related cardiovascular risk and in the assessment of the
24-h BP coverage by antihypertensive treatment [1]. Our
finding that a pronounced difference in the number of BP
opyright © Lippincott Williams & Wilkins. Unauth
readings per hour between day and night may lead to an
overestimation of 24-h average BP by conventional
analysis is thus clinically relevant and should be taken
into account when assessing the prognostic information
carried by this parameter. It also emphasizes the possib-
ility of a clinically relevant error both in the interpretation
of 24-h ABP recordings and in the definition of 24-h
average normal reference values [8,9]. Another practical
implication comes from the observation that, due to the
limited reproducibility of nocturnal BP dipping [19], also
the overestimation of 24-h average BP levels by the
conventional approach may vary between ABP recordings
as a function of the varying difference between day and
night BP levels. Our findings need to be considered both
in clinical and research applications of ABPM because to
the best of our knowledge, with only a few exceptions
[15,20], the software used by most ABPM devices for data
processing and calculation of 24-h average BP values does
not take into account the different frequency of BP
measures scheduled during the day and night.
In conclusion, our results may have implications for
analysis of ABPM data in clinical practice. In particular,
our data indicate that, in order to reliably quantify
24-h average ABP values, ABPM devices should be
orized reproduction of this article is prohibited.
Conventional vs. time-weighted BP analysis Octavio et al. 463
Fig. 3
6
4
2
0
3 3.5 4 4.5 5 5.5 6−2
0
2 2.5 3 3.5 4
2 2.2 2.4 2.6 2.8 3
Ratio of day/night readings
Ove
rest
imat
ion
bia
s (m
mH
g)
Systolic blood pressure
r = 0.18ns
r = 0.29P < 0.001
r = 0.52P < 0.001
r = 0.44P < 0.001
r = 0.62P < 0.001
r = 0.45P < 0.001
Diastolic blood pressure
1
2
3
4
−2
−1
0
1
2
3
−2
−1
6
4
2
0
3 3.5 4 4.5 5 5.5 6−2
0
2 2.5 3 3.5 4
2 2.2 2.4 2.6 2.8 3
1
2
3
4
−2
−1
0
1
2
3
−2
−1
Correlations between total day/night ratio in number of readings and calculated ‘bias’. Superior panels: group I; intermediate panels: group II; lowerpanels: group III. Left panels and black circles: 24-h SBP. Right panels and white circles: 24-h DBP. Insertions in each panel: correlation coefficientsand their statistical significance. NS, not significant.
F ¼ s2 bet
s2 wit¼MSbet
MSwit
¼ 121:6
1:03¼ 118:08 P ¼ 0:000
Multiple comparisons – Bonferroni t-test
Comparison Difference of means P Pcrit P<0.05
1 vs. 3: 1.95�0.3¼1.65 14.080 2.403 Yes1 vs. 2: 1.95�0.5¼1.45 12.373 2.403 Yes2 vs. 3: 0.5�0.3¼0.2 1.707 2.403 No
Degrees of freedom 447.
programmed to minimize the difference in number of
readings per hour between daytime and night-time
periods. Whenever this is not done, calculation of 24-h
SBP and DBP mean values should then be based on a
‘time-weighted’ approach, that is, on estimates of 24-h
mean BP value based on the average of hourly BP means
or on other ‘weighting’ methods [21].
AddendumOverestimation bias: SBP
Copyright © Lippincott Williams & Wilkins. Unaut
ANOVA
Group n Mean SD SEM
I 150 1.95 1.4 0.1143II 150 0.5 0.7 0.05715III 150 0.3 0.8 0.06532
ANOVA, analysis of variance.
Source of variation SS DF Variance estimated (MS)
Between groups 243.2 2 121.6Within groups 460.4 447 1.03Total 703.7 449
DF, degree of freedom; MS, Mean Square; SS, Sum of Squares.
Overestimation bias: DBP
horized reproduction of this article is prohibited.
ANOVA
Group n Mean SD SEM
1 150 1.5 1 0.081652 150 0.4 0.5 0.040823 150 0.2 0.5 0.04082
ANOVA, analysis of variance.
Source of variation SS DF Variance estimated (MS)
Between groups 147 2 73.5Within groups 223.5 447 0.5Total 370.5 449
DF, degree of freedom.
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464 Journal of Hypertension 2010, Vol 28 No 3
F ¼ s2 bet
s2 wit¼MSbet
MSwit
¼ 73:5
0:5¼ 147:00 P ¼ 0:000
Multiple comparisons – Bonferroni t-test
Comparison Difference of means P Pcrit P<0.05
1 vs. 3: 1.5�0.2¼1.3 15.922 2.403 Yes1 vs. 2: 1.5�0.4¼1.1 13.472 2.403 Yes2 vs. 3: 0.4�0.2¼0.2 2.449 2.403 Yes
AcknowledgementWe are in debt with Juan Perez-Gonzalez for his kind
revision of the manuscript.
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orized reproduction of this article is prohibited.