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5. Quantitative Methods

Issue and Opportunity… Traditional improvement technology is heavily analytical. Complexity and chaos sciences offer new analytical techniques for teasing out more information about patterns in time series data. These patterns in the data can lead to a deeper understanding of the dynamics of the underlying complex adaptive system. These better understandings might lead to better ideas for improvement. This could be a major extension of analytical improvement techniques; potentially as powerful and paradigm altering as Shewhart's control charts were in the 1930s.

New Understandings from Time Series Data... "Magic" of time series is that even though it represents only a single variable, the causal influence of other variables are embedded in its dynamics (Taken's embedding theorem)... We can look at time series data and see whether there are many or few casual variables and get some indication as to what they are doing... Example: study of teen pregnancy data in Texas indicates "pink noise" allowing model that says that teen's decision is based on local peer and family attributes.

Aggregating data (e.g., over a quarter) loses some of the information in the time series... Can never recapture dynamics that are quicker than your sampling (reporting) rate.

An emerging data analysis path might be…¨

  • Identify "special causes" in our data with control charts, or correlations with traditional statistical tools. Understand and act upon.
  • Now we are left with what we have traditionally called "random variation." (Common cause variation in control chart lingo). But complexity/chaos studies show that even further distinction can be made... there may be periodic and chaotic patterns... different "colors" of "noise" (randomness) arise from different underlying generating mechanisms.
  • Analyze "random" variation by looking at power law structure and Hurst exponent. When multiple causes exist and are related to one another in a multiplicative (dependent) sense, a log-normal (power law) distribution arises. When multiple causes exists and are related to one another in an additive (independent) sense, a Normal distribution arises. Classic statistics and QI often assume additive, independent multiple causes (the Normal distribution).
  • Depending on the Hurst exponent found in analysis of the data, we can have four colors of noise (what we have traditionally lumped all together as "randomness"). (Note: Dooley has posted more detailed descriptions of these different colors of noise.)
    • White noise is pure randomness, no memory in the system, truly no telling what will happen next.
    • Brown noise is accumulation of white noise over time, classic Brownian motion... What happens next is dependent on what happened before, but no telling how far the next step will jump you from where you are now.
    • A time series with Black noise shows a long term persistence in apparent trends and cycles, but these patterns are non-linear in nature... But there is a pattern that we can identify.
    • A time series with Pink noise tends to revert back to the mean more often than a purely random pattern would... The sand pile model of self-organizing criticality gives rise to pink noise.

Open question… How do we make the leap from abstract concepts like "colored noise" into practical insights into the real systems of health care that we can play a part in influencing?

Can we predict complex system behavior? and Can we ever be prescriptive about events in a CAS?… We can predict within a range, but this might be good enough to let us experiment, establish good enough vision, and state min specs. We might also know enough to describe "basins of attraction;" and again, this may be all we need to know to be practical.

Of course, we can force a CAS to behave the way we want through extraordinary means (example: prison camp), but practically speaking the best we can hope to do is to influence behavior by changing the very context of the CAS itself through 15% actions and butterfly effects. The metaphors of managers as gardeners, and managers as the wizard behind the curtain in Oz, were introduced to describe the approach.

Because we cannot predict and be prescriptive... "observation may be the keenest sense for managers to develop, the ability to postulate associations -- their greatest skill, and their ability to take risk in facilitating the association -- their greatest attribute." We agreed that learning to see pattern is key, but how do we do this practically?

Pattern is not the same as "path"… We can describe areas of performance and outcome that are possible through the pattern, but we cannot say what precise sequence of outcomes will unfold. A potential area for additional exploration involves using the information that we might have about a complex pattern to say where the system will not ever go in it's performance. We still need to work out the potential usefulness of this knowledge.

Tales From Past Work and Literature… We have Kevin Dooley's past work on teenage births in Texas. Ary Goldberger's work also illustrates this for a pure clinical issue. There is also literature from Priestmeyer et. al. on the use of phase-plane plots for things like nursing staffing.

New Demonstration Projects… Several avenues of analysis potentially exist…

  • Medication Errors. VHA-East has sent some data on medication errors to Kevin Dooley. Recall that the idea was to illustrate power laws and self-organizing criticality. Can small, no-harm errors be used to roughly predict the future rate of occurrence of larger med errors (even with the problem that Jacquie Byers raised about underreporting of med errors)? Initial analysis suggests that power law distribution is confirmed by the data. This leads to the conclusion that tracking near-miss med errors could greatly enhance the power of data collection on med errors.
  • Patterns in Census Data JB Collins has daily census data going back five years at his place! Let's see if Kevin Dooley can find any interesting complex patterns in that. At this point, it is unclear how this will relate to QI, but let's first see what patterns and new insights emerge from the analysis.
  • Data Mining Another possible demonstration project comes from Perry Pepper at Chester County Hospital. Perry is pursuing complex data mining using software called Clementine from a company called Integral Solutions Ltd. Perry also mentioned contacting SMS to see if they were interested in working on this with him.
  • Gregg Bennett may have some HBSI data.
  • Kevin Dooley has suggested that we might test the hypothesis that what has been called "small area variation" might actually be nothing more than fractal noise. This could be a major contribution to improvement science in healthcare.
  • We might learn something about common healthcare CAS's by constructing a simulation. This remains an open possibility. (Note: Kevin Dooley is currently building a CAS simulation to study the effects of neighbor influences on the adoption and success of TQM.)

It would be great to get some waiting time data and some outcomes data to analyze. These are common in QI projects and would, therefore, make powerful demonstrations.

Ultimate Goal of This Line of Thinking… Extending traditional QI thinking beyond the "lump" category of common cause random variation... i.e., learning to see more patterns than we have with existing methods. The next step in analytical QI comparable to Shewhart's introduction of the control chart.

 

 

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