Overstay2 colour: Difference between revisions

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== Method of setting threshold ==
== Method of setting threshold ==
=== Optimal threshold ===
=== Optimal threshold ===
{{DJ |
* A  2 x 2 classification  table for varying probability levels helps visualize the performance of the predicted results with actual outcomes.
* You had initially determined an optimal threshold for this; can you explain that?
* Sensitivity (true positive rate)  is the proportion of actual positives correctly identified by the predicted results. High sensitivity means few false negatives. 
}}
* Specificity (true negative rate) is the proportion of actual positives correctly identified by the predicted results.  High specificity means few false positives. 
* Optimal threshold is the probability level which shows equal or close to equal  sensitivity or specificity in the testing data set.  This threshold (also called cut-off) is being used to classify patients.
 
This would have resulted in a assigning  
This would have resulted in a assigning  
'''''xxx% '''''
'''''xxx% '''''
of patients a "red". This would have overwhelmed the [[Overstay2 processes on the units to reduce discharge delay]] so we needed to determine a [[#pragmatic threshold]].  
of patients a "red". This would have overwhelmed the [[Overstay2 processes on the units to reduce discharge delay]] so we needed to determine a [[#pragmatic threshold]].


=== Pragmatic threshold ===
=== Pragmatic threshold ===

Revision as of 17:56, 10 June 2025

The Overstay2 colour is a colour assigned to a patient based on data collected as part of Project Overstay2, which is run through the Overstay2 scoring models to generate a score and the Overstay2 colour. The colour modifies the Overstay2 processes on the units to reduce discharge delay. See Overstay2 Overview for more context.

The colour is based on a probability threshold that is set to balance the number of patients followed under the more elaborate Overstay2 processes on the units to reduce discharge delay#red process wile minimizing the number of patients who would overstay by more than 10 days that are not captured. It was set separately for each of the Overstay2 scoring models, so see those pages for the actual thresholds.

Method of setting threshold

Optimal threshold

  • A 2 x 2 classification table for varying probability levels helps visualize the performance of the predicted results with actual outcomes.
  • Sensitivity (true positive rate) is the proportion of actual positives correctly identified by the predicted results. High sensitivity means few false negatives.
  • Specificity (true negative rate) is the proportion of actual positives correctly identified by the predicted results. High specificity means few false positives.
  • Optimal threshold is the probability level which shows equal or close to equal sensitivity or specificity in the testing data set. This threshold (also called cut-off) is being used to classify patients.

This would have resulted in a assigning xxx% of patients a "red". This would have overwhelmed the Overstay2 processes on the units to reduce discharge delay so we needed to determine a #pragmatic threshold.

Pragmatic threshold

We used the following process to set a red/yellow threshold that our Overstay2 processes on the units to reduce discharge delay can function with.

Goals/considerations

The thresholds were set to stratify patients based on the following considerations:

  • goal: reduce LOS 10-15%
  • no more than 15-17% of patients tagged
  • capture 60-75% of all delayed discharges

How did those get set, though? If they are arbitrary then any rigor in balancing them is just dazzle. Ttenbergen 19:48, 8 June 2025 (CDT)

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Setting threshold based on these goals

Emailed 2025-06-08: we need to understand the mechanism we used to set the threshold. To be updated when clear. Ttenbergen 17:57, 8 June 2025 (CDT)

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