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update ref urls
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joethorley committed Sep 23, 2024
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8 changes: 4 additions & 4 deletions paper/paper.bib
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number = {5},
pages = {1--21},
url = {http://www.jstatsoft.org/v070/i05/},
doi = {10.18637/jss.v079.i05}
doi = {10.18637/jss.v070.i05}
}

@article{thorley2018ssdtools,
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institution = {Environmetrics Australia and Australian Institute of Marine Science},
author = {Fox, DR and Fisher, R and Thorley, JL and Schwarz, C},
month = mar,
year = {2021},
url={https://environmetrics.net/docs/FOX%20and%20FISHER%20Final_final_report_rev2.3.pdf?189db0&189db0}
year = {2021}
}

@techreport{fox_methodologies_2024,
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Report prepared for the Department of Climate Change, Energy, the Environment and Water},
institution = {Environmetrics Australia and Australian Institute of Marine Science},
author = {Fox, DR and Fisher, R and Thorley, JL},
doi = {10.25845/xtvt-yc51},
month = April,
year = {2024}
}
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volume={15},
pages={51--52},
year={2005},
url = {https://www.helpdeskwater.nl/publish/pages/131519/_16__manual_on_the_methodological_framework_to_derive_environmental_quality_standards_for_priori.pdf}
url = {https://www.wrrl-info.de/docs/manual-derivation-qs.pdf}
}

@techreport{bcmecc2019,
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8 changes: 4 additions & 4 deletions paper/paper.md
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Expand Up @@ -99,21 +99,21 @@ Finding the solution to this last equation is referred to as *finding the root(s

`ssdtools` generates confidence intervals for $\text{HC}_x$ and $\text{HP}_u$ values via bootstrapping.
By default all versions of `ssdtools` use parametric bootstrapping as it has better coverage than the equivalent non parametric approach used in other SSD modelling software such as `Burrlioz` [see @fox_methodologies_2021].
The first two versions of `ssdtools` both calculated the model averaged CI from the weighted arithmetic mean of the CIs of the individual distributions.
The first two versions of `ssdtools` both calculated the model averaged CI from the weighted arithmetic mean of the CIs of the individual distributions (`weighted_arithmetic`).
Unfortunately, this approach has recently been shown to have poor coverage [@fox_methodologies_2024] and is inconsistent with the *inversion principle*.

Consequently, v2 also offers a parametric bootstrap method that uses the joint cdf to generate data before refitting the original distribution set and solving for the newly estimated joint cdf [see details in @fox_methodologies_2024].
This "multi" method can be implemented with and without re-estimation of the model weights.
This "multi" method can be implemented with (`multi_free`) and without (`multi_fixed`) re-estimation of the model weights.
However, although the "multi" method has good coverage it is computationally slow.
As a result, the default method provided by the current update is a faster heuristic based on taking bootstrap samples from the individual distributions proportional to their weights [@fox_methodologies_2024].
As a result, the default method (`weighted_samples`) provided by the current update is a faster heuristic based on taking bootstrap samples from the individual distributions proportional to their weights [@fox_methodologies_2024].

## Multiple Distribution Functions

In order to implement the "multi" method of bootstrapping, v2 also provides the probability density (`ssd_pmulti()`), cumulative distribution (`ssd_qmulti()`) and random generation (`ssd_rmulti()`) functions for multiple distributions.

## Plotting

As well as to fitting SSDs and providing methods for estimating $\text{HC}_x$ and $\text{HP}_u$ values, `ssdtools` extends the `ggplot2` R package [@ggplot2] by defining `geom_ssdpoint()`, `geom_ssdsegment()`, `geom_hcintersect()` and `geom_xribbon()` geoms as well as a discrete color-blind scale `scale_color_sdd()` for SSD plots.
As well as fitting SSDs and providing methods for estimating $\text{HC}_x$ and $\text{HP}_u$ values, `ssdtools` extends the `ggplot2` R package [@ggplot2] by defining `geom_ssdpoint()`, `geom_ssdsegment()`, `geom_hcintersect()` and `geom_xribbon()` geoms and a discrete color-blind scale `scale_color_sdd()` for SSD plots.

# Example of use

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