Well, if you buy the assumptions of SDT you can. Remember, SDT makes assumption about behavior. Specifically that decisions are made by applying a decision criterion to the evidence extracted from each trial. So, you could conclude that one condition has a higher hit rate because that condition has a larger bias toward saying yes in your experiment. I guess the question is, does it make theoretical sense to do so? <br>
<br><div class="gmail_quote">On Mon, Apr 19, 2010 at 7:33 AM, Tobias <span dir="ltr"><<a href="mailto:tobias.fw@gmail.com">tobias.fw@gmail.com</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin: 0pt 0pt 0pt 0.8ex; border-left: 1px solid rgb(204, 204, 204); padding-left: 1ex;">
Thanks Robert,<br>
<br>
if I am not getting you wrong, this means that C is independent of d'<br>
but not of the hit rate.<br>
The question occurs to me if you can really say that one condition is<br>
more liberal if they are just better obviously.<br>
<br>
Cheers,<br>
Tobias<br>
<div class="im"><br>
On 16 Apr., 21:25, Robert Ariel <<a href="mailto:rar...@kent.edu">rar...@kent.edu</a>> wrote:<br>
> Tobias,<br>
><br>
> Computationally, C is the average of the your transformed hit and false<br>
> alarm rates. You can see this in the equation you presented. So, no doubt<br>
> if you have equal false alarm rates across conditions, differences in C are<br>
> resulting because of differences in hit rates.<br>
><br>
> Basically with equal false alarm rates, the condition with a higher hit rate<br>
> will always be more liberal. If hit rates are equal, the condition with<br>
> higher false alarm rate will be more liberal.<br>
><br>
> Best,<br>
><br>
> Robert<br>
><br>
><br>
><br>
</div><div class="im">> On Fri, Apr 16, 2010 at 9:59 AM, Tobias <<a href="mailto:tobias...@gmail.com">tobias...@gmail.com</a>> wrote:<br>
> > Hi together,<br>
><br>
> > this might be a bit off topic but as you are all very much into<br>
> > psychological experimental science you might be of great help for this<br>
> > issue. Besides, my topic is the outcome of an E-Prime experiment ;)<br>
><br>
> > It is about the response bias in signal detection theory (SDT). I've<br>
> > heard that C is usually better than Beta as a measure of response bias<br>
> > as it is indpendent of d'. Now what I have in my experiment is a very<br>
> > high hit rate for condition A and a lower hit rate for condition B.<br>
> > False alarm rates are however the same for A and B. So what I get<br>
> > using the formula for C (C = -0.5*(z(false alarms) + z(hits)) is a<br>
> > liberal criterion C for A and a less liberal criterion for B.<br>
><br>
> > So can I actually say that A is more liberal? Apparently this is only<br>
> > due to the fact that the hit rate is higher. I am quite puzzled by<br>
> > this... glad for any help!<br>
><br>
> > Tobias<br>
><br>
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