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#152 Jan 18 2012 at 10:21 AM Rating: Good
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Eh, considering the leading cause of death for Americans is auto accidents, if I had the choice I'd take my chances.
#153 Jan 18 2012 at 3:27 PM Rating: Decent
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Aripyanfar wrote:

1) A PER CAPITA DIFFERENCE PER SQUARE MILE IS A DENSITY DIFFERENCE. Smiley: lol


Yes. But can you see how that's relevant here? Let me give you an example:

You have two 10 square mile areas. One is a rural community with 1,000 people living in it, giving us a population density of 100 people per square mile. The other is a major urban center with 100,000 people living in it, with a population density of 10,000 people per square mile.

Let's also say that the yearly mugging rate per capita in the rural area is 1 per 100 people, and the mugging rate per capita in the urban center is 1 per 200 people. Based on per capita calculations you could say that you are twice as likely to get mugged in the rural area as in the urban one. And from a population statistical point of view, you'd be right. However, if you look at the mugging rate in terms of square miles, you have 10 muggings per year in the rural area (1000/100), giving us 1 mugging per year per square mile. In the urban area you have 500 muggings per year (100000/200), giving us 50 muggings per year per square mile square mile.

So even though the per capita mugging rate is half as much in the urban area, the mugging rate in any given square mile of that area is 50 times greater. So if you ever happen to find yourself walking down a street at night by yourself, you're in much greater danger of being mugged than you would be walking a similar distance in a rural area. Now we could argue that in an urban area, you're less likely to ever be walking around by yourself, but crimes tend to happen at the edges of society, not in the middle. When/if you do find yourself in that unfortunate situation, your odds of being one of those 50 people each year that'll get mugged in that square mile you're in becomes pretty high.

Get it?

Quote:
2) If you have deaths per passenger mile worked out for plane travel then your odds don't change with the number of passengers travelling with you, but with the number of miles you fly per year.


Of course they don't. That's why I said it was absurd. However, passenger miles calculates the distance times the number of passengers. So a plane traveling 500 miles with 20 passengers represents 1,000 passenger miles. That same plane traveling the same distance with 30 passengers represents 1,500 passenger miles. But clearly the odds of the plane crashing should be the same in both cases, right? And your odds of being in a crash have to do with whether that one plane crashes, not how many passengers are on it.

Which is why calculating relative safety for an individual by comparing the deaths per passenger mile for different methods of travel is wrong.

Quote:
If the murder or mugging rate in one district is 0.002% per year in one district, and 0.01% in a second district, then that's the dice you roll for living in each district, or leaving your house at any time in each district.


Only if everyone in that district is doing the exact same things all the time. But that's never the case. Your odds change based on what you are doing. The odds of being mugged sitting in your living room are far lower than if you're walking down an alley way late at night. The question isn't really about per capita ratios, but how high your odds get if/when you are walking down that alley way late at night. Because it's not an issue when you're sitting in your living room. The question comes when you find yourself having to walk alone at night. What are the odds right then is a very different question than "what are the statistical odds within the society as a whole".

Edited, Jan 18th 2012 1:28pm by gbaji
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#154 Jan 18 2012 at 3:50 PM Rating: Excellent
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gbaji, you do know that there are twice as many muggings in California than in New York, right? Not per capita, but actual numbers. Something like to 600k to 300k for 2010. Violent crimes were something like 160k to 80k. Want to explain that?
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#155 Jan 18 2012 at 3:53 PM Rating: Excellent
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#156 Jan 18 2012 at 4:05 PM Rating: Decent
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lolgaxe wrote:
gbaji, you do know that there are twice as many muggings in California than in New York, right? Not per capita, but actual numbers. Something like to 600k to 300k for 2010. Violent crimes were something like 160k to 80k. Want to explain that?


Explain what? That different areas have different crime rates? I'm still confused as to why you keep bringing this up like a small dog yapping for attention when it has zero relevance to the discussion at hand.


Um... But if we were somehow comparing states rather than urban versus suburban city design, what's your point? California has double the population of New York (so per capita is around the same). Additionally, California has triple the square miles (so per square mile has fewer). So was your intent to show that you're more likely to get mugged in New York than California? Or are you just really really bad at analyzing data?
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#157 Jan 18 2012 at 4:21 PM Rating: Decent
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gbaji wrote:
I'm still confused as to why you keep bringing this up like a small dog yapping for attention when it has zero relevance to the discussion at hand.
Being stupid must be really hard on you. Smiley: crymore I'm just proving, with real numbers, that areas where people have more space doesn't mean there is a lower crime rate.

Also bragging that my state is both safer to live in and giving me much more freedom. Smiley: smile

Edited, Jan 18th 2012 5:22pm by lolgaxe
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#158 Jan 18 2012 at 4:44 PM Rating: Decent
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lolgaxe wrote:
gbaji wrote:
I'm still confused as to why you keep bringing this up like a small dog yapping for attention when it has zero relevance to the discussion at hand.
Being stupid must be really hard on you. Smiley: crymore I'm just proving, with real numbers, that areas where people have more space doesn't mean there is a lower crime rate.


I'm scratching my head trying to see this "proof". The "real numbers" you provided seem to indicate that California and New York have similar per-capita mugging rates, and New York has about a 50% higher per-square-mile mugging rate. Was that your intention?

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Also bragging that my state is both safer to live in and giving me much more freedom. Smiley: smile


Or... you're displaying a remarkable inability to analyze data.

Edited, Jan 18th 2012 2:44pm by gbaji
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#159 Jan 18 2012 at 5:03 PM Rating: Excellent
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gbaji wrote:
Or... you're displaying a remarkable inability to analyze data.
Whatever helps you wake up tomorrow morning with the realization that you're more likely to be mugged, raped, or killed than I am. We also have a much higher education and better job rates, and lower pollution rates! I'm really having difficulty finding any reason to voluntarily live in California. I did find the average yearly income is 2k/yr more, but you pay higher for insurance and such ...

gbaji wrote:
I'm scratching my head trying to see this "proof". The "real numbers" you provided seem to indicate that California and New York have similar per-capita mugging rates, and New York has about a 50% higher per-square-mile mugging rate.
Ahh, so you think that because there are areas in California no one lives in (and for the life of me I can't find any reason to live in the areas that people there do live there) that you're safer. You live in a tree house out there? I'll concede that, and it does put credence to the theory that you live in a cave.
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#160 Jan 18 2012 at 5:50 PM Rating: Excellent
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gbaji wrote:
Aripyanfar wrote:
If you have deaths per passenger mile worked out for plane travel then your odds don't change with the number of passengers travelling with you, but with the number of miles you fly per year.


Of course they don't. That's why I said it was absurd. However, passenger miles calculates the distance times the number of passengers. So a plane traveling 500 miles with 20 passengers represents 1,000 passenger miles. That same plane traveling the same distance with 30 passengers represents 1,500 passenger miles. But clearly the odds of the plane crashing should be the same in both cases, right? And your odds of being in a crash have to do with whether that one plane crashes, not how many passengers are on it.

Which is why calculating relative safety for an individual by comparing the deaths per passenger mile for different methods of travel is wrong.



Oh, look; uninformed analysis of industry metrics. Shocking. If either plane crashed they would have deaths up to their number of passengers minus survivors. Those deaths would be taken into account as part of the 'deaths per passenger mile' statistic. If lets say, there are 20 planes, 10 carrying 20 people and 10 carrying 100 people and each plane flies two 5000 mile trips, of a total 10000 miles in the course of business, it would be a net of 12 million passenger miles. If a 20 cap. plane crashed during the course of business, with a 50% fatality rate, you would end up with 10 deaths per 12 million miles, or 1 death per 1.2 million miles. this is absolutely the correct metric for determining the chance of death, not the chance that any one plane will crash.

If you take the 1/20 crash rate (5%), because 1 out of 20 planes crashed, you'd be massively overestimating your personal chance of death rate, where for a 5000 mile trip it would be like 1/240 (~0.41%).


Edited, Jan 18th 2012 6:51pm by Timelordwho
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#161 Jan 18 2012 at 5:54 PM Rating: Decent
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lolgaxe wrote:
gbaji wrote:
Or... you're displaying a remarkable inability to analyze data.
Whatever helps you wake up tomorrow morning with the realization that you're more likely to be mugged, raped, or killed than I am.


Um... Except that those odds are far more affected by what community you live and work in than what state you live in. You get that, right? I'll lay good odds that the neighborhood I live in is one of the safest in the US, and almost certainly safer than where you live.

And at the risk of corralling you back on topic, the whole point I was making was about neighborhoods and their designs, not about cities as a whole, and certainly not about states.

Quote:
I'm really having difficulty finding any reason to voluntarily live in California.


Smiley: laugh You're kidding, right?

Quote:
Ahh, so you think that because there are areas in California no one lives in (and for the life of me I can't find any reason to live in the areas that people there do live there) that you're safer.


Um... No. You're the one who keeps trying to make some broad statewide statistical argument, not me. I'm safer because I live in an upscale suburban neighborhood with a $200k median household income. It doesn't really matter what state I live in, or what city that community is near. You keep obsessing over the least significant factors while ignoring the most significant ones.
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#162 Jan 18 2012 at 6:09 PM Rating: Good
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gbaji wrote:
You keep obsessing over the least significant factors while ignoring the most significant ones.
Smiley: laugh They're "least significant factors" because they prove you wrong, and "most significant" because they make you feel safer than what reality shows. It's like you have a pull-string on your back, but even Chatty Cathy had more unique lines.
gbaji wrote:
Smiley: laugh You're kidding, right?
I guess if I closed my eyes really really tight and ignored the crime rate, the unemployment, the education rates, the cost of living, and ran face first into a tree and instead of bouncing off just kind of stayed there staring at the tree I could maybe find a reason. Other than that ...
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#163 Jan 18 2012 at 6:26 PM Rating: Excellent
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#164 Jan 18 2012 at 6:38 PM Rating: Decent
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Timelordwho wrote:
Oh, look; uninformed analysis of industry metrics. Shocking.


Hah. That's funny. It really is.


Quote:
If either plane crashed they would have deaths up to their number of passengers minus survivors. Those deaths would be taken into account as part of the 'deaths per passenger mile' statistic. If lets say, there are 20 planes, 10 carrying 20 people and 10 carrying 100 people and each plane flies two 5000 mile trips, of a total 10000 miles in the course of business, it would be a net of 12 million passenger miles. If a 20 cap. plane crashed during the course of business, with a 50% fatality rate, you would end up with 10 deaths per 12 million miles, or 1 death per 1.2 million miles. this is absolutely the correct metric for determining the chance of death, not the chance that any one plane will crash.


Yes. I'm aware of how the statistic "deaths per passenger mile" is generated. My point is that if you forget how the statistic is generated, you can end out trying to do math with it that produces erroneous results. What's funny is that this is exactly what you just did.

That statistic is useful for a broad analysis of the whole industry. If I'm calculating actuarial tables for insurance covering aircraft passengers, I want to know that number. However, it's the wrong statistic if I'm a passenger and I want to know the odds that I will be in a plane crash. This is why I use this example. Because even when I say "this is an example of a statistic that can be misused", someone (like you) will happily oblige us all by insisting on misusing it anyway, thus providing us with an example of such misuse.

Quote:
If you take the 1/20 crash rate (5%), because 1 out of 20 planes crashed, you'd be massively overestimating your personal chance of death rate, where for a 5000 mile trip it would be like 1/240 (~0.41%).


No. That's where you are wrong. You are calculating the rate of deaths per passenger mile (1 in 1.2 million), and then dividing by the number of miles you're flying (5000), and saying that you have a 1 in 240 chance of dying. But the actual fact is that you have a 1 in 80 chance of dying.


To derive this, we have to make some assumptions which aren't in the data you started with. Let's assume that each plane has an equal chance of crashing. Let's further assume that in each crash, 50% of the passengers survive and 50% die. In your example, each plane flew 2 equally distant trips (5000 miles). Thus, there were a total of 40 plane trips. Thus, if you are flying on one 5000 mile trip, your odds of being on a plane that crashes during that trip is 1 in 40. Since you have a 1 in 2 chance of dying if you are on a plane which crashes, you thus have a 1 in 80 chance of dying on your trip.


This logic applies in both directions btw. See. If instead of a 20 capacity plane crashing, it had been one of the 100 passenger planes, then the "death per passenger mile" number would have been 5 times higher (since 50 people died instead of 10, again sticking to our 1/2 die assumption). So 1 death per 240k miles. With that set of data, you might conclude that the odds of dying while traveling 5000 miles is therefore 1 in 48. But it's not. It's still 1 in 80. Because the odds of a single specific plane crashing does not change based on the number of people traveling in it (which is what I said at the beginning). A plane will crash or not crash based on other factors. Your odds therefore are based on the odds of those factors happening.


Do you see how the odds of *you* dying in a plane crash isn't the same as the average deaths over distance divided by the distance you're traveling? It's a mathematical calculation which appears on the surface to make perfect sense, but if you step back from the data and think about what you're actually calculating, it's wrong. In this particular example, the passenger miles stat is useful if you are an insurance company and want to know how many payouts you'll have to make for every X passengers flying Y miles so you can correctly charge people. But it's not useful at all to determine individual odds of dying in a plane crash.

Edited, Jan 18th 2012 4:41pm by gbaji
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#165 Jan 18 2012 at 6:59 PM Rating: Excellent
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What the hell did you people do to this thread??? Smiley: confused

I came in expecting something akin to 'two pigeons, one cup' and left thinking I need to move to the country to minimize the statistical probability of an airliner mugging me. Seriously I need something to drink now. Smiley: frown
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#166 Jan 19 2012 at 2:45 AM Rating: Good
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gbaji wrote:
Aripyanfar wrote:

1) A PER CAPITA DIFFERENCE PER SQUARE MILE IS A DENSITY DIFFERENCE. Smiley: lol


Yes. But can you see how that's relevant here? Let me give you an example:

You have two 10 square mile areas. One is a rural community with 1,000 people living in it, giving us a population density of 100 people per square mile. The other is a major urban center with 100,000 people living in it, with a population density of 10,000 people per square mile.

Let's also say that the yearly mugging rate per capita in the rural area is 1 per 100 people, and the mugging rate per capita in the urban center is 1 per 200 people. Based on per capita calculations you could say that you are twice as likely to get mugged in the rural area as in the urban one. And from a population statistical point of view, you'd be right. However, if you look at the mugging rate in terms of square miles, you have 10 muggings per year in the rural area (1000/100), giving us 1 mugging per year per square mile. In the urban area you have 500 muggings per year (100000/200), giving us 50 muggings per year per square mile square mile.
Yes, I can agree with this.

Gbaji wrote:
So even though the per capita mugging rate is half as much in the urban area, the mugging rate in any given square mile of that area is 50 times greater. So if you ever happen to find yourself walking down a street at night by yourself, you're in much greater danger of being mugged than you would be walking a similar distance in a rural area. Now we could argue that in an urban area, you're less likely to ever be walking around by yourself, but crimes tend to happen at the edges of society, not in the middle. When/if you do find yourself in that unfortunate situation, your odds of being one of those 50 people each year that'll get mugged in that square mile you're in becomes pretty high.

Get it?
The person in the urban area still has a 1 in 200 chance per year of being mugged, however rarely they go into a dangerous square mile per year, compared to a rural person having a 1 in 100 chance of being mugged, no matter how often or how little they go into a "dangerous"="safe" square mile. Yes the absolute figures are 50 muggings in the urban square mile, that the urban person walks through. Yes the absolute figure is 10 muggings per square mile that the rural person walks through. The urban person and the urban perpetrators are simply diffused through more people than the rural ones, making the absolute numbers higher but leaving the relative numbers of people chances of victim-hood alone.

Some people think that since a poker machine might have a one in million chance of paying out the jackpot, if they stick to one poker machine that hasn't Jackpotted in a long time, then the poker machine's "time" to pay out must be coming up. Or that if they stick to one poler machine their entire life and hit it more than a million times that they MUST get the Jackpot eventually. Statistics don't work like that. Real life statistics of what happen in the real universe don't work the way that human "pattern recognising systems" think/feel that they do. Every time that one poker machine is hit, there is a one in million chance of the jackpot. That poker machine may well not Jackpot in 1 billion years of constant hits. Or that Poker machine may very possibly Jackpot 50 times in a row.

Another example that is counter human intuitive: 1, 2, 3, 4, 5, 6, is a random number string as well as a sequential integer string.

Get it?
#167 Jan 19 2012 at 2:56 AM Rating: Good
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gbaji wrote:

Quote:
2) If you have deaths per passenger mile worked out for plane travel then your odds don't change with the number of passengers travelling with you, but with the number of miles you fly per year.


Of course they don't. That's why I said it was absurd. However, passenger miles calculates the distance times the number of passengers. So a plane traveling 500 miles with 20 passengers represents 1,000 passenger miles. That same plane traveling the same distance with 30 passengers represents 1,500 passenger miles. But clearly the odds of the plane crashing should be the same in both cases, right? And your odds of being in a crash have to do with whether that one plane crashes, not how many passengers are on it.

Which is why calculating relative safety for an individual by comparing the deaths per passenger mile for different methods of travel is wrong

I Think I should have just said you are comparing apples and oranges with the airplane mortality statistics and left it at that. People often get confused by the large numbers of people who die all at once in an airplane disaster. That tends to pique our human pattern recognition system which clashes so often with real life statistics. Regardless, like a poker machine, it is just as likely that no airplanes will crash for 50 years in a row, or that 10 airplanes crash in the next week, killing a grand total of 4,000 people in that week. Either way, it is STILL safer to spend time flying than to spend time driving.
#168 Jan 19 2012 at 3:23 AM Rating: Good
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Quote:
No. That's where you are wrong. You are calculating the rate of deaths per passenger mile (1 in 1.2 million), and then dividing by the number of miles you're flying (5000), and saying that you have a 1 in 240 chance of dying. But the actual fact is that you have a 1 in 80 chance of dying.


Except that you failed to account for the increased likelihood that you will be on one of the high capacity flights that did not crash.

I didn't miscalculate.


Edited, Jan 19th 2012 4:24am by Timelordwho
#169 Jan 19 2012 at 3:36 AM Rating: Good
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gbaji wrote:
Aripyanfar wrote:
If the murder or mugging rate in one district is 0.002% per year in one district, and 0.01% in a second district, then that's the dice you roll for living in each district, or leaving your house at any time in each district.


Only if everyone in that district is doing the exact same things all the time. But that's never the case. Your odds change based on what you are doing. The odds of being mugged sitting in your living room are far lower than if you're walking down an alley way late at night. The question isn't really about per capita ratios, but how high your odds get if/when you are walking down that alley way late at night. Because it's not an issue when you're sitting in your living room. The question comes when you find yourself having to walk alone at night. What are the odds right then is a very different question than "what are the statistical odds within the society as a whole".

See the poker machine example. If you leave your house only once in a hundred years, and walk down a dark alley that night, then you have a 0.002% chance of being mugged. Exactly the same as if you walked down a dark alley every night every day of your life. 0.002%.

You can eliminate the mugging risk by never leaving your house, but who wants to live like that? And your murder/rape/assault risk would remain unchanged. Yes, no doubt there's ways of changing your odds by behavioural and lifestyle changes. But that's just going to tinker minimally. Given the nature of most violent crime, the biggest way to lower your risk is by learning large amounts of emotional and interpersonal skills. Learning good interpretation of reality skills, learning how to diffuse emotions during disagreements rather than escalating them. Learning good Assertion skills, rather than being a passive, passive-aggressive, or aggressive person. Learning 10,000 conscious ways of being a functional, assertive, fair human being. Your chances of harm from a stranger are minute and mostly a matter of luck.
#170 Jan 19 2012 at 10:45 AM Rating: Excellent
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Well, here are the violent crimes reported in some popular, fairly walkable neighborhoods in Houston (I live here) that have decent transportation compared to the rest of the city, anyway. Keep in mind that these are heavily populated areas, and that Houston doesn't have the best reputation safety-wise (although the statistics are largely influenced by the really, really poor areas, which I'm too lazy to list) so although the incidents may be even an order of magnitude more, this is still far, far less than 1% of the population in these areas. Also remember: even if the crime is on the street, it's not necessarily perpetrated by a stranger!

I used the police department's crime map, which while a bit cumbersome compared to raw data, but it works well enough for me.

The last 30 days:

Midtown

Murder: no incidents returned
Rape: no incidents returned
Aggravated Assault: out of 11 of them, only 4 of them were outside, with 3 on the road/sidewalk and 1 at a gas station parking lot. The rest were in bars and strip clubs. This is my surprised face.
Robbery: Out of 9 incidents, 7 were on the sidewalk, and most of these were really fucking late. As in, past midnight, when basic common sense dictates that you shouldn't walk. The others were robbed convenience stores and either a bar or a club. It's not super-specific.

Montrose

Murder: no incidents returned
Rape: 1, in an apartment. Remember, the vast, vast majority of rapes are perpetrated by someone the person knows, and no change of location will prevent an acquaintance, friend, or lover from proving themselves to be an amoral @#%^.
Aggravated Assault: 5 on the street. However, you have to keep in mind that there are a lot of gay bashings in this neighborhood, since it's basically the gayborhood. For some reason, there are homophobic straight dudes that like to come here to beat the shit out of gays.
Robbery: out of 11 of them, only 4 were on the streets, and all of them were on largely empty side streets. The rest? Convenience stores.

University Place

Murder: no incidents returned
Rape: no incidents returned
Aggravated Assault: Out of 4, only 1 was on the road. At midnight. The rest were at bars (do you still see my surprised face?).
Robbery: 5, and all of them were at places of business

Downtown

Murder: no incidents returned
Rape: no incidents returned
Aggravated Assault: 8, but only 4 of these were on the road or in parking lots.
Robbery: There were 4 of these, 3 of which were outdoors, and 2 of these were late at night in the fucking forest.

Now, do you want to look at the car crash statistics? I'll list the ones for Harris County for the year 2010, provided by the Texas Department of Transportation, to include some of the Houston suburbs, but many also live in other counties so it doesn't paint a complete picture. If you want to complain about it being for the whole year, just divide by 12.

Crash Statistics for Harris County

Fatal Crashes: 335
Fatalities: 361
Serious Injury Crashes: 8,035
Serious Injuries: 11,196
Other Injury Crashes: 14,201
Other Injuries: 23,577
Non-injury Crashes: 42,550
Unknown Severity Crashes: 2,300
Total Crashes: 67,421


Now, just for comparison's sake, here's a quick overview of causes of death from the CDC. Motor vehicle accidents were at #96, murder was around #107.


So not only do more people die from motor vehicle accidents than murders, most murders are not even perpetrated by strangers! So how is not staying out late going to protect you from those you know? Here's a list by gender: (Statistics from the US Department of Justice)

Women
Intimate partner: 30%
Other family: 11.8%
Acquaintance: 21.8%
Stranger: 8.7%
Undetermined: 27.6%

Men
Intimate partner: 5%
Other family: 6.8%
Acquaintance: 35.3%
Stranger: 15.5%
Undetermined: 37.4%

So really, who's actually safer?




Edited, Jan 19th 2012 10:46am by Sweetums
#171 Jan 19 2012 at 11:45 AM Rating: Good
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Divided by 12:

Crash Statistics for Harris County

Fatal Crashes: 27
Fatalities: 30
Serious Injury Crashes: 669
Serious Injuries: 933
Other Injury Crashes: 1,183
Other Injuries: 1,964
Non-injury Crashes: 3,545
Unknown Severity Crashes: 191
Total Crashes: 5,618

Collating the four areas over the last 30 days:

Murder: 0
Rape: 1
Aggravated Assault: 28
Robbery: 29

Um, I'm not sure I can speak for Sweetums on this, but I think her point is, given the monthly stats in the same area on injury, harm, and death from driving, compared to injury, harm and death from walking in even the darkest and most dangerous areas of Housten, at the latest hours of night, it's much safer to walk down an alley in the dead of night than to drive anywhere. At least in Housten.

In no way am I anti-car, although I am anti carcinogen pollution. Cars have liberated us, enriched our lives and grown the economy far beyond what walking, horses and trains can give us. It's just important to be aware of the real costs of our freedom through cars, and to know that walking is not only good for our health and well being, but a safe activity too.

Edited, Jan 19th 2012 12:58pm by Aripyanfar
#172 Jan 19 2012 at 1:10 PM Rating: Good
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Well, they're not at all the deepest darkest places of Houston, they're actually fairly popular urban neighborhoods.

Edited, Jan 19th 2012 1:16pm by Sweetums
#173 Jan 19 2012 at 2:52 PM Rating: Decent
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Aripyanfar wrote:
The person in the urban area still has a 1 in 200 chance per year of being mugged, however rarely they go into a dangerous square mile per year, compared to a rural person having a 1 in 100 chance of being mugged, no matter how often or how little they go into a "dangerous"="safe" square mile.


Only if all people and their actions are homogeneous. But they aren't. You're looking at the statistics of the whole. I'm looking at the fact that statistics don't apply to the individual action and reactions of life. If we assume that most people get mugged while walking alone late at night, then the question becomes what your odds are of being mugged while walking along late at night. You're already outside the statistical norm at that point. You're doing something dangerous. The question is whether you'll be the one in 10 or one in 50 this year who'll get mugged walking through that square mile of land.


It's like my herd example. If you're on the outside edge of the herd when it crosses a river, the statistics in terms of what percentage of the herd will get eaten don't matter to you nearly as much as the odds that a hungry crock will happen to be in that stretch of river when you cross. We could double the size of the herd, and say that everything else being the same your odds of getting eaten are halved. But the reality is that your individual odds haven't changed at all. Because the extra size of the herd is mostly in the middle (ie: safe in their beds). The few on the outer edge are at risk regardless of how many are inside.



Quote:
Another example that is counter human intuitive: 1, 2, 3, 4, 5, 6, is a random number string as well as a sequential integer string.


Yes. And another example is that just because the statistics for a whole group change doesn't mean that the odds for an individual do.
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#174 Jan 19 2012 at 2:53 PM Rating: Good
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Aripyanfar wrote:
See the poker machine example. If you leave your house only once in a hundred years, and walk down a dark alley that night, then you have a 0.002% chance of being mugged. Exactly the same as if you walked down a dark alley every night every day of your life. 0.002%.


That is not true at all.
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#175 Jan 19 2012 at 5:18 PM Rating: Good
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As two professional mathematicians (applied and theoretical) have told me, reading over my shoulder: You are bad at maths.

Well, one said "yeah, people are bad at maths" to be more specific. But you get the drift.
#176 Jan 19 2012 at 7:37 PM Rating: Good
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gbaji wrote:
Aripyanfar wrote:
See the poker machine example. If you leave your house only once in a hundred years, and walk down a dark alley that night, then you have a 0.002% chance of being mugged. Exactly the same as if you walked down a dark alley every night every day of your life. 0.002%.


That is not true at all.


Aripyanfar wrote:
As two professional mathematicians (applied and theoretical) have told me, reading over my shoulder: You are bad at maths.

Well, one said "yeah, people are bad at maths" to be more specific. But you get the drift.



I had a feeling you'd misunderstand what I wrote. Thought about editing it, but got distracted.


I meant that your odds "over time" of being mugged are higher if you walk down that dark alley every day of your life. Obviously, your odds that one night are no higher. Given that you want to avoid being mugged, then not doing that very often is a good idea, right? Not doing it ever is even better.


Um... Also, your odds "that night" of being mugged are higher if you walk down the dark alley versus if you stay in your home. Which ties into the point I've been making all along. When you look at crime statistics, you can't assume that this means everyone in the area over that period of time has the same odds of having been a victim of a crime. What you do in that area during that time period matters a hell of a lot. Your mistake through this entire discussion has been that you believe that if X muggings occur out of Y people over Z time, that the odds of *you* being mugged in that area over that time is X/Y.


But that is simply not true. You can't apply those sorts of statistics to the individual condition and outcome. It simply falls apart.

Edited, Jan 19th 2012 5:42pm by gbaji
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