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Tweaknig readme
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Rausch authored and Rausch committed Oct 9, 2024
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Expand Up @@ -26,7 +26,7 @@ corresponding model provides a better fit to the data. The following models are
- Lognormal weighted evidence and visibility model

## Mathematical description of models
The computational models are all based on signal detection theory (Green & Swets, 1966).
The models included in the statConfR package are all based on signal detection theory (Green & Swets, 1966).
It is assumed that participants select a binary discrimination response $R$ about a stimulus $S$.
Both $S$ and $R$ can be either -1 or 1. $R$ is considered correct if $S=R$.
In addition, we assume that in the experiment, there are $K$ different levels of stimulus discriminability,
Expand All @@ -39,15 +39,13 @@ and variance of 1. The sensory evidence $x$ is compared to a decision criterion
to generate a discrimination response $R$, which is 1, if $x$ exceeds $c$ and -1 else.
To generate confidence, it is assumed that the confidence variable $y$ is compared to another
set of criteria $\theta_{R,i}, i=1,2,...,L-1$, depending on the
discrimination response $R$ to produce a $L$-step discrete confidence response.
The number of thresholds will be inferred from the number of steps in the
`rating` column of `data`.
Thus, the parameters shared between all models are:
discrimination response $R$ to produce a $L$-step discrete confidence response. The different models
vary in how $y$ is generated (see below).
The parameters shared between all models are:
- sensitivity parameters $d_1$,...,$d_K$ ($K$: number of difficulty levels)
- decision criterion $c$,
- confidence criterion $\theta_{-1,1}$,$\theta_{-1,2}$, ..., $\theta_{-1,L-1}$,
$\theta_{1,1}$, $\theta_{1,2}$,...,$\theta_{1,L-1}$ ($L$: number of confidence categories available for confidence ratings)
How the confidence variable $y$ is computed varies across the different models.
- confidence criterion $\theta_{-1,1}$, ..., $\theta_{-1,L-1}$,
$\theta_{1,1}$, ,...,$\theta_{1,L-1}$ ($L$: number of confidence categories available for confidence ratings)

### \strong{Signal Detection Rating Model (SDT)}
According to SDT, the same sample of sensory evidence is used to generate response and confidence, i.e.,
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