Part - end+disparities Learning Exchange
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end+disparities Learning
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Part IV: Calculator Assumptions
Quick Review
This presentation is the fourth in a series of presentations
intended to familiarize you with disparities calculation
Part I: Disparity, a National Priority
Part II: Subpopulations
Part III: Calculating Disparity
Part IV: YOU ARE HERE!
Part V: Selecting QI Projects
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"All human beings are born free and equal in
dignity and rights."
- United Nations, Article 1 of the Universal
Declaration of Human Rights
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Learning Objectives
Describe how was the calculator methodology
developed
Understand the assumptions made within the
calculator tool
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Supreme Court of the United States
Statisticians and scientists disagree on how to calculate
disparities – there are many methods
The most uniform method for calculating and interpreting
disparities comes from SCOTUS
SCOTUS has decades of history
dealing with disparities in case law
called Disparate Impact
Housing
Employment
Jury Selection, etc.
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NQC Guide:
Qualifying Disparities in HIV Care
Overviews
What is a disparity?
How do we qualify disparities statistically?
How do we intersect probability and impact for disparity work?
Mathematical backgrounds and calculation walkthroughs
Absolute Disparity
Rate Ratio
Comparative Disparity
Odds Ratio
Absolute Impact
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NQC Guide: Qualifying Disparities in HIV Care
Instructional Slides
Co-dissemination of Materials
Disparities analysis is a challenging task that can cause confusion or
concern among users who are not adequately trained in how to use
the tools for QI
NQC Guide + Instructional Slides + Calculator Tool = happy users
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Examples in this Presentation
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Youth (ages 13-24)
MSM of Color
African-American
& Latina Women
Transgender People
Throughout this presentation, we’ll use examples
that involve hypothetical groups of people
But First Things First…
Terminology used in disparities statistics:
1. Significance
2. Power
3. Confidence
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Statistics for Disparities
Power – ability of a statistical test to identify an effect
We avoid discussing power in this tool, because it is not
completely scientific
We simplify terminology and assumptions around power
to focus on whether or not results are useful
The important thing to remember
is that UNDEFINED RESULT is
a product of low power among
other statistical assumptions
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Statistics for Disparities
Confidence Intervals: the lower and upper bounds of
the range containing the true result with 95%
confidence
If a confidence interval contains the value "1",
the calculated result is not significant and should
be ignored
Narrower confidence intervals signify lower
standard error, wider intervals signify higher
standard error
For our purposes, we are only interested in the
confidence intervals that fall within the range of
detectable disparities based on our assumptions
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Probability Methods
Absolute Disparity Method
The absolute difference in scores between two groups
Relative Risk Method
The ratio of the scores of two different groups divided into each other
Comparative Disparity Method
The relative risk minus 1 (method is used to highlight the work that has
yet to be done and supportively frames the values in terms of need
Odds Ratio Method
A measure of association between a status
(e.g., race) and an outcome (e.g., the number
of patients achieving or not achieving VLS)
based on odds.
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Probability Method Limitations
Absolute Disparity Method
Limitation: measured scores all > 50%*
Relative Risk Method
Limitation: measured scores all < 80%*
Comparative Disparity Method
Limitation: measured scores all < 80%*
Odds Ratio Method
Limitation: additional calculations required
and challenging to interpret (use as last resort)
* If these thresholds are not met, the method
does not have adequate power to detect disparity
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Why So Many Probability Methods?
All statistical methods have limitations
Completing all four probability methods increases the
likelihood we will detect true disparities
At least one of the methods will always work (odds ratio),
regardless of the limitations of the other methods
Applying all four methods in all cases allows for consistent
analysis
The most “probable” disparity is the
group with the greatest number of
SIGNIFICANT results
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Example
Let’s go back to our populations example, but let’s
just look at two groups for simplicity’s sake!
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Example
Assume you have 100 people total and that 47 of
them are blue and 53 of them are yellow
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Example
Now, let’s assume that some of the people are
retained in HIV care and some are not
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Example
39 of the 47 blue people are retained in care (83%)
48 of the 53 yellow people are retained in care (91%)
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Example
Let’s walk through each of the probability
calculations to see if there is a disparity in retention
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“For to be free is not merely to cast off one’s chains, but to
live in a way that respects and enhances the freedom of
others.”
- Nelson Mandela
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Some Visual Cues to Help You
Power Slider
Reminds us of the power limitations of each method
50%
UNDEFINED RESULT
ABLE TO DETECT DISPARITIES
Significance Slider
Reminds us of the significance thresholds of each method
NO DISPARITY DETECTED
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∞
0.10
0.05
0
MAYBE
DISPARITY DETECTED
Absolute Disparity
Does the Absolute Disparity Method qualify a disparity?
Are all scores > 50%
50%
UNDEFINED RESULT
ABLE TO DETECT DISPARITIES
Absolute Disparity is the difference between measured scores
In this method:
― A difference 0% to 5% is a NO DISPARITY
― A difference 5% to 10% is a MAYBE DISPARITY
― A difference more than 10% is a YES DISPARITY
91% - 83% = 8%
8% falls between 5% and 10% so a MAYBE DISPARITY
0%
5%
NO DISPARITY DETECTED
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∞
10%
MAYBE
DISPARITY DETECTED
Relative Risk
Does Relative Risk Method Qualify Disparity?
Are all measured scores <80%
ABLE TO DETECT DISPARITIES
80%
UNDEFINED RESULT
Relative Risk is the ratio between measured scores
In this method:
― A result greater than 0.875 is a NO DISPARITY
― A ratio between 0.8 and 0.875 is a MAYBE DISPARITY
― A ratio less than 0.8 is a YES DISPARITY
83% ÷ 91% = 0.91
Measured scores >80% so method has UNDEFINED RESULT
0.8
0
DISPARITY DETECTED
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∞
0.875
MAYBE
NO DISPARITY DETECTED
Comparative Disparity
Does Comparative Disparity Method quality a disparity?
Are measured scores <80%
80%
ABLE TO DETECT DISPARITIES
UNDEFINED RESULT
Comparative Disparity is the Relative Risk minus 1
In this method:
― Greater than -0.125 is a NO DISPARITY
― Between -0.125 and -.02 is a MAYBE DISPARITY
― Less than -0.2 is a YES DISPARITY
(83% ÷ 91%) - 1 = - 0.09
Measured scores >80% so method has UNDEFINED RESULT
-∞
DISPARITY DETECTED
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-0.125
-0.2
MAYBE
∞
NO DISPARITY DETECTED
Odds Ratio
Odds ratios should be used as a last resort, because they can be
challenging to interpret based on the math behind them
Odds ratios are produced through cross-multiplication
(39 * 5) ÷ (48 * 8) = 0.53
In this method:
YES
NO
Blue People
39
8
Yellow People
48
5
― Greater than 0.67 is a NO DISPARITY
― Less than 0.67 is a YES DISPARITY
0.53 is less than 0.67so is a YES DISPARITY
0.67
0
DISPARITY DETECTED
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∞
NO DISPARITY DETECTED
Let’s Review Probability Method Findings
Absolute Disparity – MAYBE DISPARITY
Relative Risk – UNDEFINED RESULT
Comparative Disparity – UNDEFINED RESULT
Odds Ratio – YES DISPARITY
Based on the findings – there is very likely a real
disparity between red and blue ball durability
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The Calculator Does All Four Every Time!
All statistical methods have limitations
Completing all four probability methods increases the
likelihood we will detect true disparities
At least one of the methods will always work (odds ratio),
regardless of the limitations of the other methods
Applying all four methods in all cases allows for consistent
analysis
The most “probable” disparity is the
group with the greatest number of
YES DISPARITY results
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Determining Priorities for Disparities
Medium
Low
IMPACT
High
FOCUS
AVOID
Low
Medium
PROBABILITY
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High
Impact Method
Absolute Impact
Measures the number of lives that are affected if the
performance is raised to match average performance
Multiply the absolute difference by the size of the
population being assessed
Limitation: be aware whether the population
being assessed is doing better or worse than
the average
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Absolute Impact Example
Absolute impact is the absolute disparity multiplied by the
population size of focus (blue people in this case since their
measured performance is lower).
Absolute Disparity is the difference between measured scores
― 91% - 83% = 8%
― 47 * 0.08 = 4 red balls
* If blue people were retained in HIV care as well as
yellow people are retained in HIV care, we would expect
an additional 4 blue people of the original 47 to be
retained in HIV care
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Don’t Forget! The Tool Does This All For You!
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Question & Answer
Additional disparities calculation and QI resources are available www.NationalQualityCenter.org
or email [email protected]
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Ending disparities will end the HIV epidemic.
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Next Steps
This presentation is the fourth in a series of presentations
intended to familiarize you with disparities calculation
Part I: Disparity, a National Priority
Part II: Subpopulations
Part III: Calculating Disparity
Part IV: YOU ARE HERE!
Part V: Selecting QI Projects
34
Next Steps
Want to check out the NQC Disparities Calculator?
Click this link and you’ll be taken there!
THIS WILL BECOME AN ICON LINKED TO
CALCULATOR
Want to learn more about the NQC Guide on this
topic? Click this link and you’ll be taken there!
THIS WILL BECOME AN ICON LINKED TO
GUIDE
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212-417-4730
NationalQualityCenter.org
[email protected]