Hi

The supplement to the PNAS article can be found at

http://www.pnas.org/content/suppl/2010/06/03/1000690107.DCSupplemental/sapp.pdf 

Figures s5 and following show clearly the pattern, including the replication.  
Findings were partly replicated in sense that both studies show effect of 
murders for blacks but not hispanics.  However, first study showed a clear 
proximity effect, whereas replication did not (curvilinear).

I think I would use replication to describe studies equivalent in major 
respects, and generalization to refer to issues like whether a pattern 
generalizes from one group (e.g., blacks) to another (e.g., hispanics).

On the issue of main effects versus interaction, my long-time-ago advisor Allen 
Paivio reasoned that interactions were generally more informative theoretically 
because of additional constraints on possible explanations.  For example, the 
finding that imagery instructions facilitate recall lends itself to multiple 
explanations whereas the finding that imagery instructions facilitate recall of 
concrete words (i.e., words semantically tied to mental images) but not 
abstract words perhaps weakens some alternatives.

On the study itself, I would wonder about the mechanism.  Is it likely, for 
example, that children within the proximities studied of a murder would in fact 
know about it the following day and would distinguish such a "local" murder 
with more distant murders?  I also looked briefly but did not find evidence on 
the question of whether IQ scores for blacks tend to be lower in areas with 
high murder rates, which would appear to be one prediction from the model 
proposed (although it would be prone to alternative explanations).

Take care
Jim


James M. Clark
Professor of Psychology
204-786-9757
204-774-4134 Fax
[email protected]
 
Department of Psychology
University of Winnipeg
Winnipeg, Manitoba
R3B 2E9
CANADA


>>> "Mike Palij" <[email protected]> 15-Jun-10 7:11 AM >>>
On Tue, 15 Jun 2010 04:11:28 -0700, Scott O Lilienfeld wrote:
>Hi Mike et al. - Mike, thanks for the helpful clarification.  I have to 
>confess that I was initially confused by your message until I later 
>realized that you we referring not to the press story described in 
>David Hogberg's message, but to the actual study itself, which I 
>hadn't read.  

I apologize for not making clear that I was using Sharkey's article
as the basis for my comments.

>So yes, if they did indeed derive the model in one African-American 
>sample and cross-validate it in a second sample (I trust your eagle 
>eye on this one), then I cheerfully withdraw my initial comment about 
>a lack of replication 

To reiterate what Sharkey did:

(1) He computed a model/equation on the basis of the African-American
sample and then applied it to the White and Hispanic students in his sample.
There was too little data for White children for the model to be tested and
though there was enough data for Hispanic children, the equation did not
apply to them.

(2) Sharkey had access to another group of subjects who were participating
in another study and replicated the finding that his equation held in the 
African-American group but not the other groups.

(3)  It should be noted that without info on the design and analysis
that Sharkey used, which was not provided in the news article, it is
easy to misinterpret what Sharkey actually did and what objections
might have greater weight.  

>(although I'm not sure I understand, Mike, what you mean by a 
>"problem" with using the term replication in the context in which 
>I was using it, which was the story as reported by the media...sounds 
>instead to me that what you're saying is that the news story neglected 
>to mention the replication) .   

The new article provides the following info on the analysis of the 
different groups:

|The effects wear off after a week to nine days, Sharkey found. But 
|in areas with a lot of crime, this does not provide much relief.
|
|"When one takes into account the prevalence of homicide in the 
|most violent neighborhoods in cities like Chicago, these results 
|mean that some children spend about one week out of every month 
|functioning at a low level as they navigate the home or school environment," 
|he said in a statement.
|
|In general, black U.S. children score about one standard deviation 
|lower on standardized tests than white children. This finding accounts 
|for half that difference, Sharkey said.
|
|He was unable to find enough murders in predominately white 
|neighborhoods to see if white children were affected.
|
|Curiously, there were enough murders in Hispanic neighborhoods 
|but Latino children seemed unaffected.
|
|"I just didn't find the same effect," Sharkey said.
|
|It could be the Hispanic children did not identify with the violence, 
|Sharkey added. "Most of the victims, even in the Hispanic 
|neighborhoods, were black."
|
|It is well documented that blacks are far more likely to be murdered 
|than members of any other U.S. ethnic group -- murder is the most 
|common cause of death for young black men.

The article doesn't mention replication at all, just that the effect seen
in the African-American sample was not found in the Hispanic group.
The jounral article explicitly distinguishing between the initial sample
on which the equation was developed and the second sample where
this finding was "replicated".

In your original post you said:
On Mon, 14 Jun 2010 15:16:07 -0700, Scott O Lilienfeld wrote:
>This study, which I haven't read, raises another question 
>(in addition to the correlation-causation question) that I always 
>find interesting to ponder...when does detecting an effect in one 
>group (e.g., African-Americans) but not another (e.g., Hispanics) 
>constitute a legitimate statistical interaction vs. a failed replication?

In Sharkey's study, African-Americans, Hispanics, and Whites
constitute a single sample because they were enrolled in the study
whose data Sharkey used.  The "effect" that Sharkey is testing is
actually an equation relating homicide and other variables to
cognitivie performance.  If this effect/equation does not hold across
groups, then one would say that there is an interaction present
not that one failed to replicate the result in the other groups.  The
second sample "replicates" the first sample's findings.  If it did not,
then one could claim a failure to replicate.

Another way to view this situation is to use the concepts of internal
validity and external validity.  If one has established a real effect
(such as Sharkey believes he has done for African-American children),
then one can question its internal validity (is the causal relationship
correctly specified, no confounding exists, other variables are appropriately
controlled for, etc.) and ask how generalizable the effect is, that is,
is it found in other groups, a question of external validity.

If an effect is found in one group (i.e., African-Americans) but
subsequent replications with groups from the same population
do not demonstarte the effect, then a failure to replicate has occurred.
That is, the initial effect was spurious, a Type I error, or something
similar.  The failure to replicate identifies the problem as one involving
internal validity, not external validity (where the effect is assumed
to be reliably found under specific conditions).

-Mike Palij
New York University
[email protected] 



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