statistics and casual generalization
TRANSCRIPT
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Statistics
http://www.suicidology.org/associations/1045/files/statistics.jpehttp://www.suicidology.org/associations/1045/files/statistics.jpe -
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Statistics are pieces of data that aregathered and analyzed to provideinformation that can have an impact on our
lives.
On the following pages is a historical story
showing how the use of statistics can makea difference.
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It was the year 1840.
The place was London,
England.
http://images.google.com/imgres?imgurl=www.chre.vt.edu/ahrm/ct/london1.jpg&imgrefurl=http://www.chre.vt.edu/ahrm/ct/abroad.html&h=600&w=800&prev=/images?q=London,+England&svnum=10&hl=en&lr=&ie=UTF-8&oe=UTF-8http://images.google.com/imgres?imgurl=www.chre.vt.edu/ahrm/ct/london1.jpg&imgrefurl=http://www.chre.vt.edu/ahrm/ct/abroad.html&h=600&w=800&prev=/images?q=London,+England&svnum=10&hl=en&lr=&ie=UTF-8&oe=UTF-8 -
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Thousands of people in the cities were dying of a
mysterious disease called cholera. There was no
known cure and no one knew what caused thedisease. What was especially frustrating was that
it was unclear why people contracted the disease
while others did not.
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Doctor John Snow, a
London doctor,
decided to place dotson a map of London to
represent each
cholera death.
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He found out that there was a
connection between thecholera deaths and onewater pump on Broad Streetin London. It became veryclear that something wascontaminating the water at
this pump and killingthousands of people.
Dr. Snows use of statistics ledto changes that savedthousands of lives.
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Statistical Evidence and its uses
Statistical evidence can be gathered from
polling a sample of a target population about
a given topic.
Uses of Statistics:
Political Party
Media Advertisers
Doctors
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How the research is done
Need to consider three questions
1. What do I need to find out
This is called characteristic of interest2.Whom do I want to know(target population)
3.Whom can I study to get the accurate answers
about my entire population
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For a study to be accurate and reliable
The sample must be large enough
The sample must represent the target
audience
The sample must be random
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Question to be asked about statistical
reports
What is the sample size Is the sample representative in all significant
characteristics and in the proportion of those
characteristics ?
Have all significant characteristics been considered ?
Is the study is a poll, are the questioned biased?
What is the credibility of the polling organization or
research institute?
Is the survey biased because of the vested interest of
the company tat paid for it ?
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Generalizations Inductive argument move from things
known to things unknown.
Sample- item or items we know
something about. Target class- group of items to which we
wish to extend our knowledge.
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Types of Generalizations
Statistical Generalization
Analogical Generalization
Causal Generalization
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Statistical Generalization
Draws a conclusion about a portion ofthe target group.
1/5 of adult Americans are obese. More teenagers die of accidents related to alcohol
than do adults.
Most jungles are hot.
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Analogical Generalization
Draws a conclusion about a target itemon the basis of a shared similarity orsimilarities.
This pair of shoes, like these shoes, is made ofleather, has the same style and same maker. Thus,like these shoes, this new pair of shoes will becomfortable.
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Causal Generalization
Draws a conclusion about anobserved relationship, i.e., that thisrelationship will always occur, on
the basis of previously observedinstances of the relationship.
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Example
at time 1, y follows x.
at time 2, y follows x.
at time 3, y follows x.
etc.
Thus, x causes y.
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DAVID HUME (1711-1776)
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MEMORY AND CAUSATION
Hume says that memoryis the main source of personal identity.Had we no memory, we never should have any notion of
causation, nor consequently of that chain of causes and effectswhich constitute our self or person.
Memory is the source of our knowledge of causation, but havingonce acquired this notion of causation from the memory, we canextendthe same chain of causes, and consequently the identity ofour persons beyond our memory, and can comprehend times, andcircumstances, and actions which we have entirely forgot, butsuppose in general to have existed.
In this view, therefore, memory does not so much produce asdiscoverpersonal identity, by showing us the relation ofcause andeffectamong our different perceptions.
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SUMMARY OF HUMES THEORY OF
THE SELF
The self for Hume is not a simple, unchanging entity of which weare aware in experience. Rather, we are only aware of a number ofthings in sensation and reflection - data of the external and internalworld - which succeed one another rapidly in time. We can mistakethe rapid succession of resembling perceptions for a self, but as no
perception or experience is constant and unchanging, we are notreally aware of anything which we can call a self at all.
This is called the bundle theory of the self, and there is no needtosuppose that a substance underlies the bundle to give it support, orto bind its perceptions together.
Memoryand causation are most important to the sense we have ofpersonal identity over time.
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A PROBLEM FOR HUME
Recall that Hume says that every idea must originate from a priorimpression, and as there is no impression of a simple, unchanging self inexperience, then we have no idea of such a self. This results in a problemfor Hume in that, as M. A. Notturno notes, if Humes theory of ideas weretrue, then he should not be able to understand the very idea of the theory
which he is criticizing. How could Hume understand what the termssimple, unchanging self are meant to signify if all ideas are dependent onprior impressions, and there is no impression of a simple, unchanging selfin experience? And if he cannot understand it, then how can he argueagainst it?
Even if it is false that we find a simple, unchanging self in experience it
seems nevertheless true that we understand the idea of such a thing. But,once again, by Humes own theorizing about the origin of ideas inexperience he should not be able to understand the very theory which hesays is untrue.
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Theory of Technical Causation
Necessary condition
A sufficient condition
Multiple causesImmediate causes