Awesome analysis, Thanks!

Paul

On Nov 1, 2012, at 1:48 AM, Jim Clark wrote:

> Hi
> 
> Paul's observations were intriguing. One thing to note is that the p
> value for the Message main effect is .1128 for F(1, 34) = 2.65. So very
> close to significance by a directional test (i.e., one assuming the
> priming effect mentioned by Paul). It was simply reported as ns in the
> paper, without a p value.
> 
> So as to analyze something like the original paper's data more fully, I
> generated some values very close to those in the paper, except that I
> did not have unequal Ns. I used n = 7 per cell to keep fairly close to
> the df error from the original study. Here is the hypothetical data and
> the descriptive statistics. I hope the formatting does not get too
> messed up below (like it just did when I unwisely switched between text
> and html mode).
> 
> data list free / mess hurr help.
> begin data
> 1 1 1  1 1 5  1 1 5  1 1 4  1 1 2  1 1 5  1 1 5
> 1 2 1  1 2 3  1 2 3  1 2 0  1 2 0  1 2 5  1 2 2
> 1 3 0  1 3 0  1 3 0  1 3 1  1 3 4  1 3 0  1 3 2
> 2 1 0  2 1 4  2 1 4  2 1 2  2 1 0  2 1 0  2 1 2
> 2 2 3  2 2 2  2 2 0  2 2 5  2 2 0  2 2 0  2 2 2
> 2 3 0  2 3 0  2 3 0  2 3 0  2 3 0  2 3 0  2 3 4
> end data.
> 
> glm help by mess hurr /print = descr.
> 
> mess hurr Mean Std. Deviation N 
> 1    1    3.86 1.676          7 
>     2    2.00 1.826          7 
>     3    1.00 1.528          7 
> Total     2.29 2.004         21 
> 
> 2    1    1.71 1.799          7 
>     2    1.71 1.890          7 
>     3     .57 1.512          7 
> Total     1.33 1.742         21 
> 
> Total 1   2.79 2.007         14 
>      2   1.86 1.791         14 
>      3    .79 1.477         14 
> Total     1.81 1.916         42 
> 
> The cell means (above) and MSE (below) are very close to those in the
> published paper, although the column means in particular are off because
> of the unequal Ns in the paper. The following analysis shows more robust
> effects than the analysis in the paper, presumably because of the
> unequal Ns analysis they did. Note the message effect now has p = .08,
> which would be significant by a directional test.
> 
> Source         Type III Sum of df Mean Square F     Sig. 
>               Squares 
> Corrected Model 45.048(a)       5   9.010     3.076 .021 
> Intercept      137.524          1 137.524    46.959 .000 
> mess             9.524          1   9.524     3.252 .080 
> hurr            28.048          2  14.024     4.789 .014 
> mess * hurr      7.476          2   3.738     1.276 .291 
> Error          105.429         36   2.929 
> Total          288.000         42 
> Corrected Total150.476         41 
> 
> I then wondered what a simple effects analysis would show even though
> the interaction does not appear to be significant, p = .291, given
> interaction terms are notoriously insensitive to non-cross-over
> interactions. The simple effect of message at different levels of hurry
> produced a significant difference for the No Hurry condition, p = .025.
> 
> manova help by mess(1 2) hurr(1 3)
> /design hurr mess w hurr(1) mess w hurr(2) mess w hurr(3).
> 
> Source of Variation SS     DF    MS    F    Sig of F
> WITHIN+RESIDUAL     105.43 36    2.93
> HURR                 28.05  2   14.02 4.79 .014
> MESS W HURR(1)       16.07  1   16.07 5.49 .025
> MESS W HURR(2)         .29  1     .29  .10 .757
> MESS W HURR(3)         .64  1     .64  .22 .642
> 
> And the simple effect of hurry at each level of message produced only a
> significant simple effect for the helping message condition, which was
> due to the linear decrease in helping, but no significant effect for the
> no hurry condition.
> 
> manova help by mess(1 2) hurr(1 3) /print = sign(single)
>  /contrast(hurr) = polynomial
>  /design mess hurr w mess(1) hurr w mess(2).
> 
> Source of Variation  SS     DF    MS    F Sig of F
> WITHIN+RESIDUAL      105.43 36    2.93
> MESS                   9.52  1    9.52  3.25 .080
> HURR W MESS(1)        29.43  2   14.71  5.02 .012
> 1ST Parameter         28.57  1   28.57  9.76 .004
> 2ND Parameter           .86  1     .86   .29 .592
> HURR W MESS(2)         6.10  2    3.05  1.04 .364
> 1ST Parameter          4.57  1    4.57  1.56 .220
> 2ND Parameter          1.52  1    1.52   .52 .475
> 
> These (hypothetical) results are probably more interesting than the
> original conclusions. The interaction demonstrates the power of the
> situation (urge to hurry) to nullify the priming effect of having
> thought about the Good Samaritan.
> 
> I now have another good example to illustrate the analysis of factorial
> studies, but the more fundamental question, as Paul notes, is whether
> any researchers have replicated this study and what they found.
> 
> Take care
> Jim
> 
> 
> 
> 
> James M. Clark
> Professor & Chair of Psychology
> 204-786-9757
> 204-774-4134 Fax
> [email protected]
> 
>>>> Paul C Bernhardt <[email protected]> 31-Oct-12 9:58:13 PM
>>>> 
> So, back to work finally. I'm preparing my lecture for Social
> Psychology tomorrow. Revising my old Helping lecture to fit only one day
> because of lost days to the storm. I'm reviewing in detail on the Darley
> and Batson study from 1973 that showed seminary students became unlikely
> to help an apparently ill stranger when put under time pressure, even if
> they'd just written a sermon based on the parable of the Good Samaritan.
> I wanted some details so I found the published study and wow... wow* so
> much to question to my eye: erroneously applied randomization of
> procedures making for unequal Ns and no indication of what the Ns were
> in the conditions, weak statistical methods (though possibly state of
> the art for the time). 
> 
> One of the main findings is that preparing the sermon on the parable
> did not increase helping compared to creating a sermon on another topic.
> But, looking at the results, it looked to me like there was evidence for
> helping having increased for those who prepared the Good Samaritan
> sermon. And, I found a later critique suggesting the analysis looked
> wrong. This is a very popular study to teach in undergraduate classes
> and it doesn't fit well, IMO, with the large body of work supporting
> priming a cognitive schema, in this case for helping (the type of sermon
> written should have done that). 
> 
> Given the level of importance this is given in some textbooks, has
> there been any replications that would support the lack of finding an
> effect for activation of a helping schema? 
> 
> You might enjoy reading the study. 
> 
> http://www.ssc.wisc.edu/~omirosa/357/Readings/13-Darley_and_Batson.pdf
> 
> 
> Paul
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