Educational Research - the Ethics and Aesthetics of Statistics
Educational Research - the Ethics and Aesthetics of Statistics
Educational Research - the Ethics and Aesthetics of Statistics
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168 P. Smeyers<br />
indeterminism, as well as those concerning <strong>the</strong> formulation <strong>of</strong> laws (among o<strong>the</strong>rs<br />
under-determination; see also Note 1). What is important is to focus on <strong>the</strong> fact that<br />
in many cases we do not have enough facts to be able to construct a full explanation<br />
<strong>and</strong> we can never be sure that a new condition might not turn up: one can<br />
never exclude <strong>the</strong> possibility that a fur<strong>the</strong>r relevant subdivision <strong>of</strong> a reference class<br />
might be necessary on <strong>the</strong> basis <strong>of</strong> additional knowledge. Moreover, an explanation<br />
requires a sufficient condition that is based on empirical evidence that something<br />
actually happened, <strong>and</strong> inference on <strong>the</strong> o<strong>the</strong>r h<strong>and</strong> refers to something in <strong>the</strong> future.<br />
To infer something that lies in <strong>the</strong> future not only presupposes that everything relevant<br />
has been taken into account but requires that <strong>the</strong> future replicate <strong>the</strong> past.<br />
Notwithst<strong>and</strong>ing <strong>the</strong>se difficulties, it seems that for a statistical-relevance model it<br />
is <strong>the</strong> amount <strong>of</strong> relevant information that counts; it consists <strong>of</strong> a probability distribution<br />
over a (maximum) homogeneous partition <strong>of</strong> an initial reference class (<strong>and</strong><br />
thus is all about <strong>the</strong> gain in information it provides).<br />
So one answer to <strong>the</strong> question ‘why are we attracted to statistics?’ comes down to<br />
<strong>the</strong> fact that it helps us to find what is hidden (ei<strong>the</strong>r a law, or a law-like generalization).<br />
We think that this hidden law may assist us in dealing with future problems.<br />
Therefore, though we are aware <strong>of</strong> <strong>the</strong> problems explanations in terms <strong>of</strong> causality<br />
are beset with, <strong>and</strong> we are knowledgeable about <strong>the</strong> limits <strong>of</strong> <strong>the</strong> use <strong>of</strong> statistics<br />
(<strong>and</strong> take <strong>the</strong>se into account), <strong>the</strong>re is no more trustworthy method to rely on when<br />
we want to know how things work (ei<strong>the</strong>r in <strong>the</strong> natural or <strong>the</strong> social world). Let<br />
me remind you that I have bracketed <strong>of</strong> course (A), (B), (C), (D), (E), <strong>and</strong> (F). Of<br />
course, you <strong>and</strong> I may agree that what has been bracketed cannot in fact be bracketed.<br />
Therefore, <strong>the</strong> idea that <strong>the</strong>re is no o<strong>the</strong>r more trustworthy method to rely on if<br />
we want to ‘know how things work’ may not get us very far. But let me also remind<br />
you that I am talking about attractiveness <strong>of</strong> statistics when it comes to ‘explaining’<br />
things. This is notwithst<strong>and</strong>ing what I have highlighted concerning <strong>the</strong> indebtedness<br />
<strong>of</strong> concepts to ‘what makes sense for us’ nor <strong>the</strong> different use that is sometimes made<br />
<strong>of</strong> statistics such as <strong>the</strong> descriptive function, also taking on board <strong>the</strong> problems associated<br />
with (E), i.e. <strong>the</strong> delineation <strong>of</strong> <strong>the</strong> concepts <strong>the</strong>mselves. It is time to pause for<br />
a moment <strong>and</strong> consider <strong>the</strong> connotations that ‘investigation’ <strong>and</strong> ‘detection’ present<br />
us with. After all, researchers investigate, do <strong>the</strong>y not?<br />
11.3 On Crime Stories <strong>and</strong> Looking for <strong>the</strong> Truth<br />
There are many kinds <strong>of</strong> detective fiction, a format that is well suited to dramatic presentations<br />
<strong>and</strong> this results in <strong>the</strong> popularity <strong>of</strong> many television <strong>and</strong> film detectives.<br />
Particularly focusing on <strong>the</strong> latter one may want to distinguish (cf. also Wikepida)<br />
between <strong>the</strong> amateur detective (Marple, Fletcher), <strong>the</strong> private investigator (Holmes,<br />
Poirot), <strong>the</strong> police detective (Dalgliesh, Morse) <strong>and</strong> <strong>the</strong> forensic specialists (CSI). It<br />
is hardly ever a matter <strong>of</strong> ei<strong>the</strong>r/or, but it may suffice for our purposes here to distinguish<br />
those who primarily deals with a search for evidence when trying to find out<br />
what happened (such as CSI), <strong>and</strong> those who focus much more on underst<strong>and</strong>ing