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Re: Cause and effect
Hi anh AiViet and folks,
Ah! This is the thread we have discussed quite some
time ago. Nevertheless, your opinion is VERY interesting to
me. I have not thought of the issue of "local" and "global"
causality. But, I still prefer to think that you need to have
some knowledge of the underlying phenomenon.
Your example of
> The Causality statement: If I heat the water, it will be warmer, is valid
>globally but not neccessarily locally.
is very valid. But, you have to have some background
knowledge about the chemical reaction to make a definite
cause-and-effect inference. Dont't you agree?
Tuan
At 05:22 PM 4/1/97 -0600, you wrote:
>
>Hi,
> Just a note of Causality local violation:
>
>Globally speaking, we can say that you turn red because you are shy. That's
>OK in a long enough period of time, where you are shy at t_0 and turn red
>at t_1 (t_0<t_1). But remember that t_1-t_0 should be greater than a critical
>amount of time for this global causality working.
>
> If you slice the interval (t_0, t_1) into small enough pieces of time
>intervals, you will see that at the beginning the degree of being shy is
>still low and you become a litle bit red. In the next slice of time because
>you are red you become a litle bit shier. Here Cause and effect interchange.
>The Causality is violated locally....and so on until you reach t_1, you
>will be shier than you were at t_0 and you become significantly red.
>
> The debates usually occur because of the mismatch between global and
>local views. The dailly life debates used to use the classical language
>like this. Statistics teaches us to recognise but ignore the local
>observations.
>
> The Causality statement: If I heat the water, it will be warmer, is valid
>globally but not neccessarily locally.
>
> Cheers
> Aiviet
>
>On Sun, 16 Mar 1997, Tuan V Nguyen wrote:
>
>> Hello anh AiViet, Huy, Vu and folks,
>>
>> > I think Cause and Effect is the Raison D'E^tre of Statistics even it is
>> >not a problem of Statistics as Anh Huy said. The most beautiful thing of
>> >Statistics is that it changes the way we think of Causality.
>>
>> Let me take a concrete example: If your wife (or lover)
>> feels happy after you gave her a red rose, then you may say
>> that the rose is the cause of the effect of her happiness.
>> However, if you give her a rose, and if at that precise
>> second, a piece of toast pops out of the eletric toaster,
>> then it would be ludicrous to make any inference regarding
>> the rose and the toaster.
>>
>> The distinction of cause and effect has been a subject
>> of discussion among statisticians for quite some time. One of
>> the main domains of statistics is the study of relationships
>> between attributes or variables. So, when one writes the
>> equation Y = F(X) + E, many readers immediately think that X
>> causes Y. But, of course, the inference can never be complete
>> without a logical reasoning of the phenomenon under study.
>> Consider the equations
>>
>> WEIGHT (in kg) = -12 + 0.5*HEIGHT (in cm),
>>
>> and
>>
>> WEIGHT (in kg) = 68 - 0.04*Age (in yrs)
>>
>>
>> The standard interpretation of these equations is that (1) if
>> you can increase your height by 1 cm, you are expected to
>> have your weight increased by 0.5 kg; and that (2) if you are
>> celebrating your birthday tomorrow, you are expected to drop
>> 0.04 kg in weight. But, of couse, this is only a
>> relationship. There is no biological evidence suggesting that
>> increase height will CAUSE increase in weight, nor is there
>> evidence suggesting that age causes decrease in weight. What
>> we can say is an ASSOCIATION between height and age vs.
>> weight. In fact, a lot of relationships between phenomena can
>> be classified as ASSOCIATION rather than CAUSATION.
>>
>> A few weeks ago, there was a report that a certain drug
>> could reduce the incidence of cholera in Vietnam. The finding
>> was based on a study in which half of patients received the
>> drug (treatment) and another half did not receive the drug
>> (controls). What they actually found was that the incidence
>> of cholera in the treatment group was significantly lower
>> than in the control group. Based on this, can we say that the
>> drug caused reduction in risk of cholera? Having worked with
>> medical fellows for some time, I must say that I even doubt
>> whether the immunization experts can answer this question
>> properly. Statisticians have invented a wonderful word for
>> this; they would say something along the line "the drug was
>> ASSOCIATED with a reduction in risk of cholera".
>>
>> In the last 30 yrs or so, billion of dollars have been
>> poured into genetic research, and despite some laudable (or
>> laughable) claims from medical researchers, we are still at
>> dark regarding mechanisms of major genetic diseases. The
>> inter-dependence among organs in our body is so complicated
>> that it is thought impossible to make any inference on
>> causation. What we can say at most is association.
>>
>>
>> Tuan V Nguyen