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re: What do you consider "middle class"?

Posted on 5/4/09 at 8:02 pm to
Posted by Zach
Gizmonic Institute
Member since May 2005
116725 posts
Posted on 5/4/09 at 8:02 pm to
So how does that refute my point that the disproportionate majority (bell curve) of household incomes is between 50K and 75K? That was the point that put your panties in a wad and you still haven't disproved it. Perhaps it is because you know you're wrong.
Posted by Bayou Tiger
Member since Nov 2003
3701 posts
Posted on 5/4/09 at 8:06 pm to
quote:

Its pretty hard to have normal distributions with one side of the distribution is bound. Also the commoness of normal distributions occurring in nature/society has been debunked.
Yes, due to that bounding at zero, income is most likely a lognormal distribution (special case of right-skewed). Run the same statistical math as on a normal distribution, but take the log of the values first. Lognormal distributions are also common in nature due to the lower bound of zero.
Posted by MileHigh
Most likely a mile high
Member since Jan 2004
7920 posts
Posted on 5/5/09 at 10:56 am to
This is what you said first
quote:

It's really a bell curve. The majority of households are in a small distribution...somewhere like 50K-70K

This is what you are saying now
quote:

So how does that refute my point that the disproportionate majority (bell curve) of household incomes is between 50K and 75K?

The first you said its really a bell curve, then you said a majority is a bell curve. you are either ignorant of statistics or changing your point. You can't have a "majority" bell curve. Its either a bell curve, or its not. This is not a bell curve, or normal distribution.

In addition, per the US census bureau, only ~17% of the household incomes are between 50 and 75k.
Posted by Zach
Gizmonic Institute
Member since May 2005
116725 posts
Posted on 5/5/09 at 3:34 pm to
Bell Curve vs. normal distribution:
Let's say the range of income is zero to 100 per year.
In normal distribution the first quartile is 0-25, the next to 50, the third to 75 and the fourth to 100.
Thus, the first and fourth are equal to the second and third. That's NOT how real income is distributed. The bulge is in the middle..in a 100 base example the bulge is between 45 and 55 although that distribution represents 10 points instead of 25.


Posted by kfizzle85
Member since Dec 2005
22022 posts
Posted on 5/5/09 at 3:42 pm to
Definition: Normal Distribution

then,

Definition: Bell Curve

I'll save you a click:


quote:

n.

The symmetrical curve of a normal distribution. Also called normal curve.

Posted by Zach
Gizmonic Institute
Member since May 2005
116725 posts
Posted on 5/5/09 at 4:00 pm to
OMFG, I feel an analogy coming on:

Milehigh: God created the earth.
Zach: God does not exist.

kfizzle: God... LINK
Not God... LINK
Posted by kfizzle85
Member since Dec 2005
22022 posts
Posted on 5/5/09 at 4:07 pm to
Posted by Zach
Gizmonic Institute
Member since May 2005
116725 posts
Posted on 5/5/09 at 4:46 pm to
How does your post contribute to the debate between me and MH? We know the definitions.
Posted by kfizzle85
Member since Dec 2005
22022 posts
Posted on 5/5/09 at 4:50 pm to
Well you had me fooled.
Posted by Zach
Gizmonic Institute
Member since May 2005
116725 posts
Posted on 5/5/09 at 4:58 pm to
Sorry. Here's a nice pic of puppy.

Posted by MileHigh
Most likely a mile high
Member since Jan 2004
7920 posts
Posted on 5/5/09 at 5:30 pm to
bell curve = normal distribution. At least in statistics.
quote:

In normal distribution the first quartile is 0-25, the next to 50, the third to 75 and the fourth to 100.

No, this isn't a normal distribution. A normal distribution is about showing how values are centered around the mean. The resulting graph is a "bell curve."
quote:

That's NOT how real income is distributed

Most definitely. It would be absurd for that to occur.
quote:

example the bulge is between 45 and 55 although that distribution represents 10 points instead of 25.

First off, pretty much every distribution has a bulge somewhere in it.

In addition, this is not what is happening with US income. The 50-75k range only represent ~18% of the population. The 0-25k range represents ~28%, and the 25-50k range represents ~26%. So it appears that even using your non-standard definition of bell curve, i.e. a bulge in the distribution, 50-75k fails as the area of the bulge. In fact, based on those statistics, the "bulge" would be in the 0-25k range. But even then that bulge is not significantly different than the 25-50k range.

Census Bureau Data

Feel free to refute my statement with some sort of analysis.
Posted by Zach
Gizmonic Institute
Member since May 2005
116725 posts
Posted on 5/5/09 at 5:43 pm to
quote:

No, this isn't a normal distribution. A normal distribution is about showing how values are centered around the mean. The resulting graph is a "bell curve."

Then you and I have a different definition of the term "normal."
quote:

First off, pretty much every distribution has a bulge somewhere in it.

I agree, particularly when it come to my pants.
quote:

In addition, this is not what is happening with US income. The 50-75k range only represent ~18% of the population. The 0-25k range represents ~28%, and the 25-50k range represents ~26%. So it appears that even using your non-standard definition of bell curve, i.e. a bulge in the distribution, 50-75k fails as the area of the bulge. In fact, based on those statistics, the "bulge" would be in the 0-25k range. But even then that bulge is not significantly different than the 25-50k range.

There is no such thing as 0-25 in the US due to welfare and in-kind benefits. Forty years ago I debated the issue of "negative income tax?" Ever heard of that? We're living it now.
Posted by MileHigh
Most likely a mile high
Member since Jan 2004
7920 posts
Posted on 5/5/09 at 5:47 pm to
quote:

Then you and I have a different definition of the term "normal."

Well a normal distribution=bell curve in statistics. Maybe not in zach land, but everywhere else it is.
quote:

There is no such thing as 0-25 in the US due to welfare and in-kind benefits. Forty years ago I debated the issue of "negative income tax?" Ever heard of that? We're living it now.

yes, its said that the majority of the people in this country don't support themselves.

However, that doesn't change the fact that US income does not follow a bell curve.

Posted by Zach
Gizmonic Institute
Member since May 2005
116725 posts
Posted on 5/5/09 at 5:58 pm to
Going to bed early tonight, MH. The wife is upset that it rained and she could not lay out with her books. Snake dog is sleeping and all is right with the world in Zach land. See you in the morning.
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