00:00
One of the first concepts I want to talk about
though is rates versus ratios and commonly
we conflate these two ideas, that's okay that
we do, but I want you to get straight in your
mind that they are distinct ideas. A rate
is a measure of the frequency of something
divided by some measurement of time. For example,
a car moving along a highway moves at a rate
of speed which is measured as a function of
time. A ratio on the other hand, is what we
get when we divide one quantity by another;
we're getting a pure number. Sometimes expressed
as a percentage, sometimes as a fraction.
00:36
So let's talk about incidence. Incidence is
the number of new instances of a disease in
a fixed period of time expressed as a proportion
of people at risk. It's a genuine rate, because
we express it as a function of time, time
is an important characteristic here.
00:53
There are two kinds of incidence measurements, the
first is incidence density. Incidence density
is characterized by an appreciation that everyone
in our population may not be exposed to the
disease at the same amount of time, so people
are at risk for different amounts of time.
01:12
In cumulative incidence however, we're assuming
that everyone's at risk at the same amount
of time. Usually incidence density is done
in clinical populations, we compute it for
small numbers of people who are being observed
in the clinical context and cumulative incidence
typically, we use it for large populations
like cities or towns, though not exclusively.
01:34
Whereas prevalence which is our other measure
of morbidity is again, the number of people
who have the disease at a particular point
in time expressed as a proportion of the total
population. It's a ratio. It doesn't necessarily
have a function of time involved.
01:46
There are two kinds of prevalence as well.
The first is point prevalence. This is when
we care about the number of people that have
the disease right now or at a particular date
or time, whereas period prevalence is a number
of people who have the disease or proportion
that have the disease over a particular period
of time. Now let's talk about incidence density
some more. It's expressed as again a fraction,
the numerator is the number of new cases and
the denominator is the population at risk
multiplied by duration of time that we care
about. However the important consideration
with incidence density is that we're expressing
it as a rate per population time. What can
be a confusing concept, sometimes it's man
hours, woman years, population weeks, whatever
it might be, but there has to be a consideration
of population and time as a unit in the denominator.
Let's do an example. Consider that you have
a population of six clinical patients, A,
B, C, D, E and F and you're examining these
patients to see if disease X manifests incidentally,
you're going to observe them for about eight
years, again in their clinical context. Now
patient A develops disease X on the second
year and dies on the seventh year. Patient
B disappears on the second year, maybe they
get bored and move away. Patient C develops
the disease on the third year and then disappears
on the fifth year, we don't know if patient
C died or went away or survived. Patient D
we observe for seven years and again disappears.
Patient E, we observe for two years but we
don't know what happens after that and patient
F we observe for six years. So again we have
different patients being observed for different
lengths of time, only two of them develop
the disease and one of them died, so the incidence
of the disease, we know the numerator is going
to be two, because two of them developed the
disease. Now let's compute the incidence density.
03:45
To do so we have to consider how long each
individual was observed. So for patients A,
B, and E, we observed them a total of two
years each, now patient A at the two year
mark, developed the disease, so after that
no longer count, we only care about those
who are at risk. So after patient A developed
the disease, here she is no longer at risk,
so again patient A was observed for two years,
patient B for two years, patient E for two
years, patient C for three years and so forth.
We add up all those years at risk and that
gives us our denominator. So we had two incidence
cases over 22 years total at risk, so our
incidence density is 2 divided by 22 or 0.09
cases per person year. If we wanted to express
that as a rate per a hundred person-years,
I just multiply my number by a hundred, 0.09×100
gives me nine cases per 100 person-years,
it's straightforward like that. Cumulative
incidence rate on the other hand, doesn't
involve computing different exposure times
per population at risk. It's simply the number
of new cases divided by the total population
at risk over a time period that we've defined.
Let's say we have 50 new cases in a population
of a thousand people in one year, then my
cumulative incidence rate is quite straightforward,
it's just 50/1000, so 50 cases per 1000 person-years
over one year. Let's try a different example.
05:17
Cityville has 1000 people, over a two-year
period, 28 people in Cityville developed disease
X, so what's the incidence of disease X in
Cityville over this period? Well our numerator
is 28, our denominator is 1000, that's over
two years, so we divide 28 x 2 times a thousand
and we get 14 cases per 1000 persons per year
or 1000 person year, it's the same thing.