Understanding the difference between the equations cohen's d and d_biep


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Julian
Julian
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Hello all,

I have been reviewing the IAT SPSS
. SPSS command syntax for processing the IAT data generated by the IAT templates - See more at: http://www.millisecond.com/download/library/IAT/#sthash.AtTohJL9.dpuf
. SPSS command syntax for processing the IAT data generated by the IAT templates - See more at: http://www.millisecond.com/download/library/IAT/#sthash.AtTohJL9.dpuf
 command syntax for processing IAT data which I downloaded here ( http://www.millisecond.com/download/library/IAT/ ). I have also been reviewing the Greenwald, Nosek, and Banaji (2003) article which outlines the syntax. Greenwald, Nosek, and Banaji (2003) state that the only difference between Cohen's d and D is that the standard deviation in the denominator of D is calculated from the scores in both conditions, ignoring condition membership. The denominator for D appears in the command as following

D_asis_denom = SQRT( ( ((N1-1) * SD1**2 + (N2-1) * SD2**2) + ((N1+N2) * ((M1-M2)**2) / 4) ) / (N1 + N2 - 1) )

The denominator for Cohen's d (pooled within treatment standard deviation), in the same format, i believe is

SQRT( ((N1-1) * SD1**2 + (N2-1) * SD2**2)  / (N1 + N2 - 2) )

I do not understand how the differences between these two denominators can be simply explained by D ignoring condition membership, while d does not.
Does including the addition of ((N1+N2) * ((M1-M2)**2) / 4) and subtracting by 1 instead of 2 somehow account for ignoring condition membership? I have scoured the forums and other articles by Greenwald, Nosek, and Banaji for an explanation, but can not find one.


Thanks in advance for the help! I am so grateful for all the information the forums have already provided.


Greenwald, A. G., Nosek, B. A., & Banaji, M. R. (2003). - See more at: http://www.millisecond.com/download/library/IAT/#sthash.AtTohJL9.dpuf
Greenwald, A. G., Nosek, B. A., & Banaji, M. R. (2003). - See more at: http://www.millisecond.com/download/library/IAT/#sthash.AtTohJL9.dpuf
. SPSS command syntax for processing the IAT data generated by the IAT templates - See more at: http://www.millisecond.com/download/library/IAT/#sthash.AtTohJL9.dpuf
. SPSS command syntax for processing the IAT data generated by the IAT templates - See more at: http://www.millisecond.com/download/library/IAT/#sthash.AtTohJL9.dpuf
. SPSS command syntax for processing the IAT data generated by the IAT templates - See more at: http://www.millisecond.com/download/library/IAT/#sthash.AtTohJL9.dpuf(http://www.millisecond.com/download/library/IAT/

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