@decidables/discountable-elements
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discountable-elements: Web Components for visualizing Hyperbolic Temporal Discounting
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@decidables/discountable-elements
Web Components for Visualizing Hyperbolic Temporal Discounting in diskountable
The web components used to visualize Hyperbolic Temporal Discounting in diskountable. There is an emphasis on direct manipulation and consistent use of color. SVG is used extensively to provide clean scalable diagrams.
Usage
Install
yarn add @decidables/discountable-elements
Use
import '@decidables/discountable-elements';
A bare import is used to register the elements in the custom registry, so they are then available for use in HTML.
Contents
Components
Building blocks for interactive visualizations of HTD
DiscountableControl
/ <discountable-control>
Control panel for HTD demos
A configurable set of controls for user manipulation of examples of hyperbolic temporal discounting. Controls can be provided for the number of trials, the timing of trials, and for running, pausing, or resetting a block of trials.
Attributes
trials: number = undefined
- Show a slider for setting the number of trials, initialized to the value provided
- Options
1
to100
in steps of1
duration: number = undefined
- Show a slider for setting the duration of the stimulus, wait, and inter-trial interval on each trial, initialized to the value provided in milliseconds
- Options
10
to4000
in steps of10
run: boolean = false
- Show a button to run the task
pause: boolean = false
- Show a button to pause the task
reset: boolean = false
- Show a button to reset the task
Methods
complete()
- Indicates that a trial block is done, so it can no longer be paused
Custom Events
discountable-control-trials
- Indicates the number of trials slider has been adjusted
detail
trials: number
- The new number of trials
discountable-control-duration
- Indicates the duration of trials slider has been adjusted
detail
duration: number
- The new duration
discountable-control-run
- Indicates the run button has been pushed
discountable-control-pause
- Indicates the pause button has been pushed
discountable-control-reset
- Indicates the reset button has been pushed
Example
<discountable-control trials="15" duration="1500" run pause reset></discountable-control>
DiscountableResponse
/ <discountable-response>
Response buttons and feedback for inter-temporal choice tasks
This element provides 'first' and 'second' response buttons. It can also display a running count of the trials and display response feedback.
Attributes
interactive: boolean = false
- Allow user to respond, instead of just displaying simulated model responses
feedback: boolean = false
- Display response feedback, i.e. 'First'
trial: boolean = false
- Display the running count of trials, i.e. 'Trial: 2 of 10'
Methods
start(as, ds, al, dl, trial)
- Indicates that a trial has started, and its time to wait for a response
- Parameters
as: number
- Amount of smaller sooner option
ds: number
- Delay of smaller sooner option
al: number
- Amount of larger later option
dl: number
- Delay of larger later option
trial: number
- The count of the trial within the block
stop()
- Indicates that the trial is over and it is time to display any requested feedback
- Note: If no response has been made yet, the trial is recorded as having no response
first()
- Emulate a 'first' response
second()
- Emulate an 'second' response
responded(response)
- Emulate a response
- Parameters
response: string
- Whether to emulate a
'first'
or'second'
response
- Whether to emulate a
reset()
- Reset to the state at the start of a block of trials
Custom Events
discountable-response
- Indicates that a response has been made on this trial
detail
trial: number
- The count of this trial in the block
as: number
- Amount of smaller sooner option
ds: number
- Delay of smaller sooner option
al: number
- Amount of larger later option
dl: number
- Delay of larger later option
response: string
- Whether the response was
'first'
or'second'
- Whether the response was
Example
<discountable-response interactive feedback trial></discountable-response>
HTDCalculation
/ <htd-calculation>
Calculation and comparison of subjective value for smaller sooner and larger later options
Displays a live comparison of the subjective values for smaller sooner and larger later options, indicating which one is better, or if they are equal. Breaks the calculation down into multiple steps. Leverages the concepts from live equations to explicitly link objective amount and delay to subjective value.
Attributes
numeric: boolean = false
- Show values instead of just the names of variables
interactive: boolean = false
- Allow editing of numeric values
amount-ss: number = 20
- Amount of smaller sooner option
delay-ss: number = 5
- Delay of smaller sooner option
amount-ll: number = 50
- Amount of larger later option
delay-ll: number = 40
- Delay of larger later option
k: number = 0.1
- Parameter k (discounting factor)
Custom Events
htd-calculation-change
- Indicates that the values in the calculation have changed
detail
as: number
- Amount of smaller sooner option
ds: number
- Delay of smaller sooner option
al: number
- Amount of larger later option
dl: number
- Delay of larger later option
k: number
- Parameter k (discounting factor)
Example
<htd-calculation numeric interactive amount-ss="20" delay-ss="10" amount-ll="80" delay-ll="50" k="0.05"></htd-calculation>
HTDFit
/ <htd-fit>
Fits HTD parameters to empirical data using a Bayesian model running in a WebWorker
The component displays trace plots of the sampling and histograms of the posterior distributions for the k and luce parameters. The model consists of the following:
- Parameters
- k: gamma prior with mean of 2 and shape of 3
- luce: gamma prior with mean of 2 and shape of 3
- Data (for ith trial)
- as_i: smaller sooner amount
- ds_i: smaller sooner delay
- al_i: larger later amount
- dl_i: larger later delay
- response_i: 'first' (smaller sooner) or 'second' (larger later)
- Functions
- v(): subjective value
- v = a / (1 + k * d)
- choice(): Luce choice probability
- cg = 1 / (1 + e^(luce * (vs - vl)))
- v(): subjective value
- Model
- vs_i: subjective value of the ith smaller sooner option
- vs_i = v(as_i, ds_i, k)
- vl_i: subjective value of the ith larger later option
- vl_i = v(al_i, dl_i, k)
- cg_i: probability of choosing the ith smaller sooner option
- cg_i = choice(vs_i, vl_i, luce)
- choice_i: Bernoulli distribution given response_i and cg_i
- vs_i: subjective value of the ith smaller sooner option
Methods
fit()
- Initiates a new fit, or queues one if the model is already fitting
clear()
- Removes all choice data, and initiates a data-free initial fit
get(name = 'default')
- Gets the specified choice data
- Parameters
name: string = 'default'
- Identifier for the choice data
- Return value
choice: object
ornull
as: number
- Amount of smaller sooner option
ds: number
- Delay of smaller sooner option
al: number
- Amount of larger later option
dl: number
- Delay of larger later option
response: string
- Chosen option, either
'first'
or'second'
- Chosen option, either
name: string
- Identifier for choice
label: string
- Label for choice
set(as, ds, al, dl, response, name = '', label = '')
- Creates or changes the specified choice data
- Parameters
as: number
- Amount of smaller sooner option
ds: number
- Delay of smaller sooner option
al: number
- Amount of larger later option
dl: number
- Delay of larger later option
response: string
- Chosen option, either
'first'
or'second'
- Chosen option, either
name: string
- Identifier for choice
label: string
- Label for choice
Custom Events
htd-fit-update
- Indicates that the fit has completed
detail
k: number
- New value for parameter k (discounting factor)
Example
<htd-fit></htd-fit>
HTDCurves
/ <htd-curves>
Temporal discounting curves for HTD
Displays options as an amount to be received at a certain delay, with a discounting curve illustrating the present value of that option. The amount, the delay, and the discounting curve can be directly manipulated.
Attributes
interactive: boolean = false
- Allow direct manipulation of functions or data points
amount: number = null
- Amount
delay: number = null
- Delay
k: number = 0.1
- Parameter k (discounting factor)
label: string = ''
- Label for data point
Methods
trial(as, ds, al, dl, trial, response)
- Creates or changes the specified trial data
- Parameters
as: number
- Amount of smaller sooner option
ds: number
- Delay of smaller sooner option
al: number
- Amount of larger later option
dl: number
- Delay of larger later option
trial: number
- Trial count
response: string
- Chosen option, either
'first'
or'second'
- Chosen option, either
pauseTrial()
- Pause trial animations
resumeTrial()
- Resume trial animations
clearOptions()
- Remove all options except the default
removeOption(name)
- Remove the identified option
- Parameters
name: string
- Identifier for option
getOption(name = 'default')
- Retrieve the identified option
- Parameters
name: string = 'default'
- Identifier for option
- Return value
option: object
name: string
- Identifier for option
a: number
- Amount of option
d: number
- Delay of option
label: string
- Label for option
setOption(a, d, name = 'default', label = '', trial = false)
- Create or change the identified option
- Parameters
a: number
- Amount of option
d: number
- Delay of option
name: string = 'default'
- Identifier for option
label: string = ''
- Label for option
trial: boolean = false
- Is this for an animated trial?
Custom Events
htd-curves-change
- Indicates that an option has changed
detail
name: string
- Identifier for option
a: number
- Amount
d: number
- Delay
k: number
- Parameter k (discounting factor)
label: string
- Label for option
Example
<htd-curves interactive amount="60" delay="30" k="0.05" label="1"></htd-curves>
ITCChoice
/ <itc-choice>
A choice between two options at different times
Presents a choice between two options, one smaller sooner and one larger later. The display can either show the choice, a fixation, or a blank display. It is optionally interactive, in which case the amounts and the delays can be edited.
Attributes
interactive: boolean = false
- Allow direct manipulation of probabilities and values
amount-ss: number = 20
- Amount of smaller sooner option
delay-ss: number = 5
- Delay of smaller sooner option
amount-ll: number = 50
- Amount of larger later option
delay-ll: number = 40
- Delay of larger later option
state: string = 'choice'
- Current state of the display
- Options
'choice'
- Show the options with a question mark in between
'fixation'
- Show blank pies with a fixation in between
'blank'
- Show blank pies with a dot in between
Custom Events
itc-choice-change
- Indicates that one or more numbers in the choice have been changed
detail
as: number
- Amount of smaller sooner option
ds: number
- Delay of smaller sooner option
al: number
- Amount of larger later option
dl: number
- Delay of larger later option
Example
<itc-choice interactive amount-ss="20" delay-ss="10" amount-ll="80" delay-ll="50" state="choice"></itc-choice>
ITCOption
/ <itc-option>
A single decision option consisting of an amount and a delay
Displays its amount and delay numerically. Optionally, the amount and the delay can be edited.
Attributes
interactive: boolean = false
- Allow direct manipulation of probabilities and values
amount: number = 20
- Amount of option
delay: number = 5
- Delay of option
state: string = 'choice'
- Current state of the display
- Options
'choice'
- Show the option quantities
'fixation'
- Show blank option
'blank'
- Show blank option
Custom Events
itc-option-change
- Indicates that the option has been changed
detail
a: number
- Amount
d: number
- delay
Example
<itc-option interactive amount="75" delay="25" state="choice"></itc-option>
ITCTask
/ <itc-task>
Displays stimuli for inter-temporal choice task
When run, a block of trials is presented. Before each trial is an inter-trial interval (ITI). Each trial then consists of a stimulus during which a participant can respond. The stimulus consists of two options, each of which is represented as an amount at a delay.The choice is generally between a smaller sooner option and a larger later option. The task can be paused and then resumed, and it can also be reset and run again.
Attributes
duration: number = 2000
- Duration of stimulus in milliseconds
iti: number = 2000
- Duration of inter-trial interval in milliseconds
trials: number = 5
- Number of trials per block
running: boolean = false
- Currently executing block of trials
Methods
reset()
- Stops a currently running or ended block of trials and resets everything to be ready to run again
Custom Events
itc-block-start
- Indicates the beginning of a block of trials
itc-block-end
- Indicates the completion of a block of trials
detail
foritc-block-start
anditc-block-end
trials: number
- Number of trials in the block
itc-trial-start
- Indicates the beginning of a trial (iti is over and stimulus is about to start)
itc-trial-end
- Indicates the end of a trial (stimulus is over and iti is about to start)
detail
foritc-trial-start
anditc-trial-end
trials: number
- Number of trials in the block
duration: number
- Duration of stimulus in milliseconds
iti: number
- Duration of inter-trial interval in milliseconds
trial: number
- Count of trial in block (one-based)
as: number
- Amount of smaller sooner option
ds: number
- Delay of smaller sooner option
al: number
- Amount of larger later option
dl: number
- Delay of larger later option
Example
<itc-task duration="3000" iti="500" trials="10" running></itc-task>
Equations
Interactive equations for HTD
The equations can either be static and display the variable names, be static and display names and values or be interactive with names and editable values, in which case only the values on the right side of the equals sign are editable.
Note: The layout for these equations leaves something to be desired, especially on smaller screens. Ideally a proper math renderer would be used, but I haven't found one that takes kindly to insertion of the custom elements needed for live editing.
HTDEquationADK2V
/ <htd-equation-adk2v>
Subjective value from objective amount and delay, and a discounting factor
Attributes
numeric: boolean = false
- Show values instead of just the names of variables
interactive: boolean = false
- Allow editing of numeric values in the equation
amount: number = 100
- Amount
delay: number = 30
- Delay
k: number = 0.05
- Parameter k (discounting factor)
Properties
v: number
- Value
Custom Events
htd-equation-adk2v-change
- Indicates that the values in the equation have changed
detail
a: number
- New value of amount
d: number
- New value of delay
k: number
- New value of parameter k (discounting factor)
v: number
- New subjective value
Example
<htd-equation-adk2v numeric interactive amount="20" delay="10" k="0.2"></htd-equation-adk2v>
HTDEquation
Base class for all interactive HTD equations
To define a new equation:
export default class HTDEquationSomething extends HTDEquation {
...
}
HTDEquation
extends DiscountableElement
extends DecidablesElement
extends LitElement
Examples
Full examples built from multiple components
HTDExampleHuman
/ <htd-example-human>
User runs task, and results are fit and displayed in real-time using HTD
Used to build examples where the user is performing the inter-temporal choice task. Can include controls, the task itself, response buttons with feedback, HTD curves, and trace plots and histograms for the parameters in the model fit. The HTD curves should not be interactive, because their rendering is determined by the user's task performance.
Slots
- unnamed
- Place relevant
discountable-elements
components here - Wired elements
<discountable-control>
- Allows user to adjust parameters and control the task
<discountable-response>
- Allows user to make responses and see feedback
<htd-fit>
- Fits the user's responses to HTD using a Bayesian model running in a Web Worker
<htd-curves>
- Displays the options as amounts with delays with discounting curves based on the current model parameters
<itc-task>
- Displays the task
- Place relevant
Example
<htd-example-human>
<discountable-control trials="10" run pause reset></discountable-control>
<itc-task trials="10"></itc-task>
<discountable-response interactive trial feedback></discountable-response>
<htd-curves></htd-curves>
<htd-fit></htd-fit>
</htd-example-human>
HTDExampleInteractive
/ <htd-example-interactive>
Explore how decision and HTD model parameters relate
Used to build examples where the user can explore the relationship between a choice and model parameters. Can include the choice, a visual rendering of the comparative value calculation, and the HTD curves with the current options. All components can be interactive.
Attributes
Note: Since many attributes are set on the example, they don't need to be set on the individual components, as they will be propagated and kept in sync.
amount-ss: number = 10
- Smaller sooner amount
delay-ss: number = 1
- Smaller sooner delay
amount-ll: number = 50
- Larger later amount
delay-ll: number = 40
- Larger later delay
k: number = 0.05
- Parameter k (discounting factor)
Slots
- unnamed
- Place relevant
discountable-elements
components here - Wired elements
<htd-calculation>
- Display and change the value calculations
<htd-curves>
- Displays the options as amounts with delays with discounting curves based on the current model parameters
<itc-choice>
- Display and change the choice between smaller sooner and larger later options
- Place relevant
Example
<htd-example-interactive a1="5" d1="20" a2="30" d2="350" k="0.01">
<itc-choice interactive></itc-choice>
<htd-curves interactive></htd-curves>
<htd-calculation numeric interactive></htd-calculation>
</htd-example-interactive>
HTDExampleModel
/ <htd-example-model>
Model simulates task based on HTD parameter values
Used to build examples where the model is simulated to perform the inter-temporal choice task. Can include controls, the task itself, response buttons with feedback, and a visual rendering of the HTD curves. The HTD curves should be interactive, so the user can modify the model. The responses should not be interactive, because their values are received from the model's task performance.
Attributes
Note: Since model parameter attributes are set on the example, they don't need to be set on the individual components, as they will be propagated and kept in sync.
k: number = 0.2
- Parameter k (discounting factor)
Slots
- unnamed
- Place relevant
discountable-elements
components here - Wired elements
<discountable-control>
- Allows user to adjust parameters and control the task
<discountable-response>
- Allows user to view model responses and feedback
<htd-calculation>
- Display the value calculations
<htd-curves>
- Displays the options as amounts with delays with discounting curves based on the current model parameter, which can be changed
<itc-task>
- Displays the task
- Place relevant
Example
<htd-example-model k="0.2" >
<discountable-control trials="10" run pause reset></discountable-control>
<itc-task trials="10"></itc-task>
<htd-curves interactive></htd-curves>
<discountable-response trial feedback></discountable-response>
</htd-example-model>
HTDExample
Base class for all HTD examples
To define a new example:
export default class HTDExampleSomething extends HTDExample {
...
}
HTDExample
extends DiscountableElement
extends DecidablesElement
extends LitElement
Base class
DiscountableElement
Base class for all discountable web components
To define a new element:
export default class DiscountableElementSomething extends DiscountableElement {
...
}
DiscountableElement
extends DecidablesElement
extends LitElement
Development
Features/Bugs/Notes
- Add to HTDMath
- Luce choice rule
Package Scripts
yarn lint
- Lints scripts in
src/
- Lints scripts in
yarn test
- Runs all tests and reports coverage in
test/coverage/
- Runs all tests and reports coverage in
yarn test:watch
- Runs all tests in watch mode and reports coverage in
test/coverage/
- Runs all tests in watch mode and reports coverage in
yarn test:file <filename>
- Runs tests for a single file and reports coverage in
test/coverage/
- Runs tests for a single file and reports coverage in
yarn build
- Builds browser-compatible optimized bundle from
src/
tolib/
- Builds browser-compatible optimized bundle from
File Organization
discountable-elements/
lib/
(Bundles created fromsrc/
bybuild
) [autogenerated]src/
(Source files)components/
(Source for visualizations)equations/
(Source for equations)examples/
(Source for examples combining visualizations)
test/
(Testing files)coverage/
(Code coverage results) [autogenerated]
CHANGELOG.md
(Based on conventional commits) [autogenerated]gulpfile.js
(Tasks for gulp)package.json
(Package config for yarn and npm)README.md
(This file)rollup-stats.html
(Report on js bundle composition and size) [autogenerated]
License
The content of this project is licensed under Creative Commons Attribution-ShareAlike 4.0 International License (CC-BY-SA-4.0) and the source code of this project is licensed under GNU General Public License v3.0 or any later version (GPL-3.0-or-later).