Skip to content

Commit

Permalink
Update README.md
Browse files Browse the repository at this point in the history
  • Loading branch information
Rausch authored and Rausch committed Oct 10, 2024
1 parent 1acc6bf commit e947a6a
Showing 1 changed file with 6 additions and 7 deletions.
13 changes: 6 additions & 7 deletions README.md
Original file line number Diff line number Diff line change
Expand Up @@ -113,25 +113,24 @@ are not assumed to be constant, but instead they are affected by noise drawn fro
a lognormal distribution. In each trial, $\theta_{-1,i}$ is given
by $c - \epsilon_i$. Likewise, $\theta_{1,i}$ is given by
$c + \epsilon_i$. The noise $\epsilon_i$ is drawn from a lognormal distribution with
the location parameter $\mu_{R,i} = \log(\left| \theta_{R,i} - c\right|)- 0.5 \times \sigma^{2}$,
$\mu_{R,i} = \log(\left| \mu_{\theta_{R,i}} - c\right|)- 0.5 \times \sigma^{2}$, and
scale parameter $\sigma$. $\sigma$ is a free parameter designed to
the location parameter $\mu_{R,i} = \log(\left| \mu_{\theta_{R,i}} - c\right|)- 0.5 \times \sigma^{2}$,
and scale parameter $\sigma$. $\sigma$ is a free parameter designed to
quantify metacognitive ability. It is assumed that the criterion noise is perfectly
correlated across confidence criteria, ensuring that the confidence criteria
are always perfectly ordered. Because $\theta_{-1,1}$, ..., $\theta_{-1,L-1}$,
$\theta_{1,1}$, ..., $\theta_{1,L-1}$ change from trial to trial, they are not estimated
as free parameters. Instead, we estimate the means of the confidence criteria, i.e., $\overline{\theta}_{-1,1}, ...,
\overline{\theta}_{-1,L-1}, \overline{\theta}_{1,1}, ... \overline{\theta}_{1,L-1}$,
as free parameters. Instead, we estimate the means of the confidence criteria, i.e., $\mu_{\theta}_{-1,1}, ...,
\mu_{\theta}_{-1,L-1}, \mu_{\theta}_{1,1}, ... \mu_{\theta}_{1,L-1}$,
as free parameters.

### \strong{Logistic Weighted Evidence and Visibility model (logWEV)
### Logistic weighted evidence and visibility model (logWEV)
The logWEV model is a combination of logN and WEV, proposed by Shekhar and Rahnev (2023).
Conceptually, logWEV assumes that the observer combines evidence about decision-relevant features
of the stimulus with the strength of evidence about choice-irrelevant features (Rausch et al., 2018).
The model also assumes that noise affecting the confidence decision variable is lognormal
in accordance with Shekhar and Rahnev (2021).
According to logWEV, the confidence decision variable is $y$ is equal to
$y^*\times R$. $y^*$ is sampled from a lognormal distribution with a location parameter
R &times; y<sup>*</sup>. y<sup>*</sup> is sampled from a lognormal distribution with a location parameter
of $(1-w)\times x\times R + w \times d_k$ and a scale parameter of $\sigma$.
The parameter $\sigma$ quantifies the amount of unsystematic variability
contributing to confidence judgments but not to the discrimination judgments.
Expand Down

0 comments on commit e947a6a

Please sign in to comment.