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Length: 2136 (0x858)
Types: TextFile
Names: »dprime«
└─⟦87ddcff64⟧ Bits:30001253 CPHDIST85 Tape, 1985 Autumn Conference Copenhagen
└─⟦this⟧ »cph85dist/stat/doc/cat/dprime«
DPRIME(1) UNIX User's Manual DPRIME(1)
NAME
dprime - compute d' and beta for signal detection data
SYNOPSIS
dprime [hit-rate false-alarm-rate]
DESCRIPTION
_▶08◀d_▶08◀p_▶08◀r_▶08◀i_▶08◀m_▶08◀e can be given two arguments: the hit-rate and the
false-alarm-rate, for which it will print d' and beta. Oth-
erwise, _▶08◀d_▶08◀p_▶08◀r_▶08◀i_▶08◀m_▶08◀e reads raw data from the standard input. If
raw data are input, _▶08◀d_▶08◀p_▶08◀r_▶08◀i_▶08◀m_▶08◀e assumes a two column input in
which the first column tells whether signal+noise or just
noise were presented, and the second column tells how the
observer responded. The following strings can be used to
indicate affirmative answers
signal, yes, 1, 1.0000
while the following can be used to indicate negative:
noise, no, 0, 0.0000
ALGORITHM
The value for d' is the Z value of the hit-rate minus that
of the false-alarm-rate.
d' = Z(hr) - Z(far)
This reflects the distance between the two distributions:
signal, and signal+noise. Though Z values can have any real
value, normally distributed ones are between -2 and 2 about
95% of the time, so differences of twice that would be rare.
The value for beta is the ratio of the normal density func-
tions of the Z values used in the computation of d'. This
reflects an observer's bias to say `yes' or `no' with the
unbiased observer having a value around 1.0. A major reason
for doing a signal detection analysis is to get a measure of
discrimination that is constant over observer biases, but
the invariance of beta is often not certain.
AUTHOR
Gary Perlman
SEE ALSO
unixstat(1)
REFERENCE
The chapter on Theory of Signal Detection in Coombs, Dawes,
and Tversky's _▶08◀M_▶08◀a_▶08◀t_▶08◀h_▶08◀e_▶08◀m_▶08◀a_▶08◀t_▶08◀i_▶08◀c_▶08◀a_▶08◀l _▶08◀p_▶08◀s_▶08◀y_▶08◀c_▶08◀h_▶08◀o_▶08◀l_▶08◀o_▶08◀g_▶08◀y, 1970, Academic Press.
BUGS
The program has not been tested extensively.
KEYWORDS
statistics, data analysis, psychology, perception
Printed 5/30/85 March 5, 1985 1