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| Definitions |
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| ‘All-or-none’
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- where ALL patients die/ fail without the intervention, and
some survive/ succeed with it (e.g. antibiotics for menigococcal
meninigitis); or where many patients die/ fail without the
intervention and NONE die/ fail with it.
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Case-control study
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- a study which involves identifying patients who have the
outcome of interest (cases) and control patients without the
same outcome, and looking back to see if they had the exposure
of interest.
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Case series
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- a report on a series of patients with an outcome of interest.
No control group is involved.
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Clinical practice guideline
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– a systematically developed statement designed to assist
clinician and patient decisions about appropriate health care
for specific clinical circumstances
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Cohort study
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- involves identification of two groups (cohorts) of patients,
one which did receive the exposure of interest, and one which
did not, and following these cohorts forward for the outcome of
interest.
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Confidence
interval (CI)
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- the range within
which we would expect the true value of a statistical measure to
lie. The CI is usually accompanied by a percentage value which
shows the level of confidence that the true value lies within
this range. For example, for an NNT of 10 with a 95% CI of 5 to
15, we would have a 95% confidence that the true NNT value was
between 5 and 15
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Event rate
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– the
proportion of patients in a group in whom the event is observed.
Thus, if out of 100 patients the event is observed in 27, the
event rate is 0.27. Control event rate (CER) and experimental
event rate (EER) are used to refer to this in control and
experimental groups of patients, respectively. The patient
expected event rate (PEER) refers to the rate of events we’d
expect in a patient who received no treatment or conventional
treatment. See treatment effects.
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Evidence-based health care
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– extends the
application of the principles of evidence-based medicine (see
below) to all professions associated with health care, including
purchasing and management.
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Evidence-based medicine
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- the conscientious, explicit and judicious use of current best
evidence in making decisions about the care of individual
patients. The practice of evidence-based medicine means
integrating individual clinical expertise and our patients' own
values and expectations with the best available external
clinical evidence from systematic research. See also Sackett DS
et al : EBM : What it is and what it isn’t. BMJ: (1996) 312:
71-2
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Incidence
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– the proportion of new cases of the target disorder in the
population at risk during a specified time interval
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Inception cohort
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– a group of
patients who are assembled near the onset of a target disorder
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Intention-to-treat
analysis
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– a method of analysis for randomized trials in which all
patients randomly assigned to one of the treatment are analyzed together,
regardless of whether or not they completed or received that treatment
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Likelihood
ratios (LR)
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– the likelihood that a given test result would be
expected in a patient with the target disorder compared with the likelihood
that the same result would be expected in a patient without the target
diorder
·
positive likelihood
ratio (LR +) - a measure of how much a positive test pushes you towards
making the diagnosis. The
greater the positive LR, the better the test is at diagnosing the target
disorder. Likelihood ratios of 10 or more indicate a very useful test - when
applied to pre-test probabilities of 33% or more, such tests will generate
post-test probabilities of 83% or more.
·
negative likelihood
ratio (LR +) - a measure of how much a negative test pushes you away
from making the diagnosis. The
lower the negative LR, the better the test is at excluding the target
disorder. Likelihood ratios of 0.1 or less indicate a very useful test -when
applied to pre-test probabilities of 33% or less, such tests will generate
post-test probabilities of 5% or less.
Calculation of sensitivity/specificity/LR
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Disease positive
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Disease negative
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Test positive
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a
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b
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Test negative
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c
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d
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·
Senstivity = a/(a + c)
·
LR+ = [senstivity/(1 – specificity)] = [a/(a + c)] ¸
[b/(b+d)]
·
Specificity = d/(b+d)
·
LR- = (1-sensitivity)/specificity = [c/(a +c)] ¸
[d/(b+d)]
·
pre-test probability = (a + c)/(a + b + c + d)
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Number needed to
follow (NNF)
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- the number of
patients that need to be followed to see one bad outcome: the lower the NNF,
the more common the outcome. NNF = 1/(event rate)
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Number extra
needed to follow (NNF+)
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- the
number of patients with a certain risk factor (compared to without that risk
factor) that need to be followed to see one extra bad outcome: the lower the
NNF+, the worse the risk factor.
Calculation
of number extra needed to follow
·
using odds
ratios
NNF+
= { PEER (OR - 1) +
1}/
{PEER (OR - 1) x
(1 – PEER)}
·
using
relative risks
NNF+ =
1 / { PEER (1 –
RR)}
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Number needed to
treat (NNT)
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–- the number of
patients that need to be treated to prevent one bad outcome: the lower the
NNT, the better the treatment. See treatment
effects.
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Odds ratios
(OR)
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– the ratio of the odds of having the target disorder in
the experimental group relative to the odds in favour of having the target
disorder in the control group (in cohort or systematic reviews) or the odds
in favour of being exposed in subjects with the target disorder divided by
the odds in favour of being exposed in the control subjects (without the
target disorder).
Calculations or OR/RR for
trimethoprim-sulfamethoxazole prophylaxis in cirrhosis
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adverse outcome occurs
(infectious complication)
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adverse outcome does not occur
(no infectious complication)
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totals
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exposed to treatment
(experimental)
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1
a
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29
b
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30
a+b
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not exposed to treatment
(control)
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c
9
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d
21
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c+d
30
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totals
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10
a+c
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b+d
50
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a+b+c+d
60
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·
CER = c/(c + d) = 30%
·
EER = a/(a + b) = 3.3%
·
control event odds
= c/d = 0.43
·
experimental event odds = a/b = 0.034
·
relative risk
= EER/CER = 0.11
·
relative odds = odds ratio = (a/b)/(c/d) = ad/bc =
0.08
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"Outcomes"
study
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- the observation of a defined population at a single point in
time or time interval. Exposure and outcome are determined simultaneously.
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Post-test
probability
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- the proportion of patients with a particular test result
who have the target disorder. Patients with suspected pulmonary embolism
with a high probability ventilation-perfusion scan have a post-test
probability of 82% i.e. most,
but not all having a PE. Alternatively consider any patient with a high
probability v/q scan as having a 82% chance of having a PE.
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Pre-test
probability (prevalence)
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– the proportion of people with the target
disorder in the population at risk at a specific time (point prevalence) or
time interval (period prevalence). For example for patients referred to
hospital with suspected pulmonary embolism, the pre-test probability is 30%;
that is only a third actually have a PE confirmed on subsequent
investigations. Alternatively consider any patient with a suspected PE as
having a 30% chance of actually having one.
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Randomised
controlled trial (RCT)
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- a group of patients is randomised into an
experimental group (which receives the intervention under study) and a
control group (which receives standard therapy or placebo). These groups are
followed up for the variables/ outcomes of interest.
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Relative risk
(RR)
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– the incidence (or risk)
of an adverse outcome in patients with a prognostic factor relative to the
risk in patients without that factor (equivalent to risk ratio)
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Risk ratio
(RR)
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the ratio of risk in the treated group (EER) to the risk in the
control group (CER) – used in randomized trials and cohort studies
(equivalent to relative risk). RR = EER/CER
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Systematic
review
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- a summary of the medical literature that uses explicit methods
to perform a thorough literature search and critical appraisal of individual
studies and that uses appropriate statistical techniques to combine these
valid studies.
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Treatment
effects
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– the evidence-based medicine journals (Evidence-based
Medicine and ACP Journal Club)
have achieved consensus on some terms they use to describe both the good and
bad effects of therapy. We will bring them to life with a synthesis of three
randomized trials in diabetes which individually showed that several years
of intensive insulin therapy reduced the proportion of patients with
worsening retinopathy to 13% from 38%, raised the proportion of patients
with satisfactory haemoglobin A1c levels to 60% from 30%, and increased the
proportion of patients with at least one episode of symptomatic
hypoglycaemia to 47% to 23%. Note that in each case the first number
constitutes the ‘experimental event rate’ (EER) and the second number
the ‘control event rate’ (CER). We will use the following terms and
calculation to describe these effects of treatment:
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When the experimental treatment reduces the
probability of a bad outcome (worsening diabetic retinopathy)
RRR (relative
risk reduction) – , calculated as ˝EER
– CER˝/CER,
and accompanied by a 95% confidence interval (CI). In the case of worsening
diabetic retinopathy, ˝
EER – CER˝/CER
= ˝13%
- 38%˝/
38% = 66%
ARR (absolute
risk reduction) – the absolute arithmetic difference in rates of bad
outcomes between experimental and control participants in a trial,
calculated as ˝EER
– CER˝,
and accompanied by a 95% CI. In this case,˝EER
– CER˝
= ˝13%
NNT (number
needed to treat) – the number of patients who need to be treated to
achieve one additional favorable outcome, calculated as 1/ARR and
accompanied by a 95% CI. In this case, 1/ARR = 1/25% = 4
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Calculations
for the occurrence of diabetic retinopathy in IDDMs
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occurrence of diabetic retinopathy at 5
years among insulin-dependent diabetics in the DCCT trial
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relative risk reduction
(RRR)
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absolute risk reduction
(ARR)
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number needed to treat
(NNT)
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usual insulin regimen
(CER)
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intensive insulin regimen
(EER)
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˝EER
– CER˝
CER
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˝EER
– CER˝
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1/ARR
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13%
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38%
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˝13%
– 38%˝
38%
=
66%
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˝13%
– 28%˝
=
25%
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1/25%
= 4 pts for 6 years with intensive insulin Rx
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When the experimental treatment increases the
probability of a good outcome (satisfactory haemoglobin A1c levels)
RBI (relative
benefit increase) – the proportional increase in rates of good
outcomes between experimental and control patients in a trial, calculated as
˝EER
– CER˝/CER,
and accompanied by a 95% confidence interval (CI). In the case of
satisfactory haemoglobin A1c levels, ˝
EER – CER˝/CER
= ˝60%
- 30%˝/
30% = 100%
ABI (absolute
benefit increase) – the
absolute arithmetic difference in rates of good outcomes between
experimental and control patients in a trial, calculated as˝EER
– CER˝,
and accompanied by a 95% CI. In this case,˝EER
– CER˝
= ˝60%
– 30%˝
= 30%
NNT (number
needed to treat) – the number of patients who need to be treated to
achieve one additional good outcome, calculated as 1/ARR and accompanied by
a 95% CI. In this case, 1/ARR = 1/30% = 3
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When the experimental treatment increases the
probability of a bad outcome (episodes of hypoglycaemia)
RRI (relative
risk increase) - the proportional increase in rates of bad outcomes
between experimental and control patients in a trial, calculated as ˝EER
– CER˝/CER,
and accompanied by a 95% confidence interval (CI). In the case of
hypoglycaemic episodes, ˝
EER – CER˝/CER
= ˝57%
- 23%˝/
57% = 60%. (RRI is also used in assessing the ‘impact of ‘risk
factors’ for disease).
ARI (absolute
risk increase) – the absolute arithmetic difference in rates of bad
outcomes between experimental and control patients in a trial, calculated as
˝EER
– CER˝,
and accompanied by a 95% CI. In this case,˝EER
– CER˝
= ˝57%
– 23%˝
= 34% (ARI is also used in assessing the impact of ‘risk factors’ for
disease.)
NNH (number
needed to harm) – the number of patients who, if they received the
experimental treatment, would lead to one additional patient being harmed,
compared with patients who received the control treatment, calculated as 1/ARR,
and accompanied by a 95% CI. In this case, 1/ARR = 1/34% = 3.
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