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Statistics of Income Analysis
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| We start by graphing midrange incomes using the traditional percentile
method to discuss the economy that characterizes the majority of Americans
(the bottom 90%.) |
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We can see that over the last 33 years midrange incomes have increased
together, a fivefold increase regardless of percentile. We can see
that the distribution is rather flat on a logarithmic scale. If
we extrapolate this generally flat line we can see that, if this
trend that characterized most of us, applied to the wealthiest of
us, the highest income in America would be about $110,000 (in 2005.)
The flatness of the line may be interpreted this way: If I want
to increase my income by 10%, I must work to increase my status
by 4.1 percentile points. If I want to work to double my income,
I must increase my status by about 30 percentile points. Or, for
comparisons, a person who makes twice as much as me, or half as
much as me, differs in status by about 30 percentile points.
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The top 5% of Incomes
For higher incomes, percentile lacks clarity so we graph using
inverse frequency.
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Here, we see a different story. The higher the status of the earner,
the more his income has increased in the last 33 years. Here, we
notice that if we extrapolate the curve on the low end we get a
value of about $60,000. That means that if the economy that characterizes
the wealthiest applied to all of us, the lowest income in America
would have been about $60,000 in 2005.
Comparing the two graphs above we see two distinct patterns in
our economy. One pattern characterizes those making less than $100,000.
The other pattern characterizing those who make over $200,000. We
might examine this further using a chart to compare income growth
over the last 33 years.
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| Percentile |
Inv. Frequency |
1972 Income
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2005 Income
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Growth (ratio)
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| 30 |
1.4 |
$3,800
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$18,000
|
5
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| 50 (median) |
2 |
$8,000
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$41,000
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5
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| 90 |
10 |
$20,000
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$100,000
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5
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| 95 |
20 |
$24,000
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$120,000
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5
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| 99 |
100 |
$50,000
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$270,000
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5
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| 99.5 |
200 |
$71,000
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$440,000
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6
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| 99.8 |
500 |
$100,000
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$1,200,000
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12
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| 99.9 |
1000 |
$130,000
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$1,900,000
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15
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| 99.988 |
8000 |
$250,000
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$10,000,000
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40
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| X% are below |
Only 1 out of Y are above |
$ per year
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2005-income / 1972-income
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| We see the bottom 99.5% of us have shared a common economy over
the last 33 years, on the average we have experienced a fivefold growth
in incomes (not adjusted for inflation.) However, the top 1 in 500
(0.2%) have experienced a rapidly growing economy enjoying growth
over 12-fold and even over 40-fold, which is 2.4 to 8 times the growth
the rest of us have experienced. Our economy has split into two -
a slow growing economy which 99.5% of us experience, and a rapidly
growing economy that roughly 1 in 500 experience. |
| Share of Annual Income |
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The top-heavy growth in incomes resulted in the share going
to the bottom 50% being cut in about half, while the share
going to the top 1% increased roughly 3-fold. More income
is now concentrated at the top now than any time in the last
70 years. The last time the rich enjoyed this large a share
of the total income was just before the crash of 1929.
This represents share of annual income, not share of wealth.
The portion of wealth controlled by the top 1% is even larger.
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We might look at that top heavy growth another way. If the
total money going into incomes increased the same amount,
but growth was distributed equally throughout the economy
what growth would the average earner have seen? The growth
ratio would have been about 7.9, instead of the roughly 5
for the bottom 99%. How does that translate to real dollars?
The typical wage earner (the bottom 99%) would be getting
60% more than he is now! For example if you earned $40,000
in 2005, the common growth rate would have earned you $64,000.
Had the growth rate been distributed equally, the number
of Americans in poverty would have been much lower. There
would have been less need for spending on poverty, and there
would have been more tax revenues going into the various branches
of the government, particularly payroll taxes.
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An Analogy:
Peter, Ed and Paul work together and earn
$1000 total. For arbitrary reasons they decide to pay Peter
$100, Ed $200 and Paul the remaining $700.
They all work harder and together generate
$10,000 profit. If they follow the trends of the last 30 years,
they would divide that sum by giving Peter $500, Ed $1000,
and the remaining $8500 would be given to Paul. However, if
they had all gotten the same rate of pay, Peter should have
gotten $1000, Ed $2000, leaving Paul with $7000. Effectively,
the first choices robs poor Peter, and middle class Ed, to
pay rich Paul.
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| Implications for Economic Class Discussion |
| We talk about middle class, poor, and rich, but we don't define
those terms clearly. Wouldn't it make sense to define middle class
as those in the middle (between the 25th and 75th percentiles?) By
that definition in 2005, middle class ranged from about $23,000 to
about $73,000. The definition of rich is much more debated. We could
define rich as the top 1%. By that definition, rich would start at
about $250,000. We could define rich as being ten times the middle.
In that case rich would start at roughly $400,000. Both of these definitions
of rich are much lower than the multi-million dollar compensation
packages for executives and celebrities commonly described in the
news. Multi-million dollar compensation would be defined as superrich
by any reasonable measure. |
| Over the years some discussion has been made about the cost of caring
for the poor. Government spending to help the poor may amount to as
much as 10% of the typical American's income. Some claim that it is
not justified to make citizens pay that much to support others. However,
the calculations above show that in a similar sense the typical American
in now paying about 40% of his income to make the rich richer than
they were 30 years ago! Which inequity has the greater burden paying
up to 10% to support the poor or paying about 40% to support the rich?
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click here for 2000-2010 changes.
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Percentile:
Percentile means what part are below this number. For example:
30th percentile means that 30% are below that value.
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Inverse Frequency:
Inverse frequency asks what portion is above this value. For example:
an inverse frequency of 200 means that only 1 out of every 200 people
are above this value.
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Percentile vs. Inverse Frequency:
Percentile is a good means of distinguishing between the values
ranging from 1% to 99%. But above the 99th percentile the numbers
become hard to read and hard to compare.
Frequency and Inverse frequency are good means of distinguish between
small portions, smaller than 1 out of every 2. They are particularly
useful when the portions are smaller than 1 out of every 20.
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Logarithmic Graphing:
On a logarithmic graph each equal distance represents the same
ratio. For example: 1 cm might represent twofold. Thus, any step
up of 1 cm means doubling to twice as much, regardless of where
this occurs on the graph.
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Related Pages:
Outside Links:
Income Distributions
Compensation of the wealthy
Compensation of the workers
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Implications for Tax Discussions
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| Various considerations go into determining fairness
in taxation. Major considerations include ability to pay, and the
government's role in defending wealth and the acquisition of wealth.
Since most of the gains were realized by the top 1/2 of 1%, it would
follow that both their ability to pay has increased significantly.
We can ask what tax rate would produce an equal
burden? Or, how would this equal burden
produce the same revenues? |
| Recently, the tax discussion has been reframed in terms of
share of total income taxes. This misleading
reframing has been promoted by members of the top 1%. To address
this concern we can ask, "If the top 1% saw a significant
increase in their share of the total income, did they also experience
the same in their share of total taxes? We may also ask, "Since
the bottom half suffered a drop in share of total income, did
they also experience a similar drop in share of total taxes?
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| The data clearly shows that the bottom 99% saw a decrease in their
share of total income, with the increase going entirely to the top
1%. How does this compare to share of taxes? |
| A quick comparison answers that
question. Since 1968 the tax increase of the top 1% was roughly
1/3 of their share in the increase in income. For the bottom
half, their drop in share of taxes roughly matched their drop
share of income. The group between the median (50 percentile)
and 99th percentile saw a significant drop in their share of
incomes, but no change in their share of taxes. |
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Note: these
graphs compare 1968 to 2006 due to data on hand. Graphs above compare 1972
to 2005 due to data on hand. |