The asclepias
User Guide
The purpose of the user guide is to provide guidance on using asclepias
.
This guide covers:
-
How to get started using
asclepias
-
Instructions for using
asclepias
-
References
For background theory on cohort building, see Event Data Theory.
Getting Started
To get started using asclepias
, there are a few prerequisite tasks.
This section covers instructions on the installation of necessary software tools
and prepping data for use by asclepias
functions.
Setting Up Software Tools
To use asclepias
, you will need to install the Haskell tool chain.
To install,
follow the directions in the setup guide,
with these special instructions:
-
Use ghc version 9.2.2.
-
Use cabal version 3.6.2.0.
If you are new to Haskell, review the Haskell usage guide for best practices.
Data Requirements
To access all the functionality of asclepias
,
the project data have to be in a particular format.
The data must be in JSON file,
and follow
NoviSci’s standard
EDM
schema where each line
in the file is a valid EventLine
.
See the EventLine
type in event-data-model for more details.
Any project that uses the standard ETL process will meet these requirements.
If the project data is not in this format,
asclepias
may still be used,
but additional steps will need to be taken by the stat dev team.
Please contact them for more details.
Instructions
1. Define Fact-Model
If the project data does not meet the Data Requirements, or the ETL process will not be run on your data, skip this step.
-
Search the event-data-model project repo for existing models.
-
If one of the existing models matches your project’s use case, select this model.
-
Else, create a new model, following the instructions in the event-data-model documentation to construct a new model. Note that, to make a new model, you may also need to make new facts.
3. Initialize Project Repo
-
Initialize a git repo for your project, using
nsProjects::initialize()
for example. -
In your terminal, navigate to the project folder.
-
Execute the following commands in the terminal,
PROJID=myProj cabal init \ --libandexe \ --application-dir=apps \ --source-dir=plans \ --tests \ --test-dir=tests \ --package-name=$PROJID \ --minimal \ --homepage https://gitlab.com/targetrwe/epistats/nsresearch/$PROJID \ --dependency hasklepias-main cabal update mv plans/MyLib.hs plans/Cohorts.hs mv tests/MyLibTest.hs tests/Main.hs
You may see warnings about fields in the
.cabal
file. You can safely ignore these. -
Update
<myProj>.cabal
, replacing<myProj>
with your project name.-
Change
exposed-modules
in thelibrary
stanza fromMyLib
to:exposed-modules: Cohorts , Tests
-
Add the following section to the
library
stanza:default-extensions: NoImplicitPrelude OverloadedStrings LambdaCase FlexibleContexts FlexibleInstances DeriveGeneric MultiParamTypeClasses DataKinds TypeApplications
-
Change
build-depends
in theexecutable
stanza to:build-depends: base, hasklepias-main, <myProj>
Replacing
<myProj>
with your project name. -
Change
main-is
in thetest-suite
stanza to:main-is: Main.hs
-
-
Modify
plans/Cohorts.hs
to:module Cohorts where import Hasklepias
-
Modify
apps/Main.hs
to:module Main where import Cohorts main :: IO () main = do putStrLn "Hello, Haskell!"
-
Modify
tests/Main.hs
to, replacing<myProj>
with your project name:import Hasklepias import Tests main :: IO () main = defaultMain (testGroup "<myProj> Tests" [tests])
-
Add a file
Tests.hs
file in theplans
directory with the following:module Tests where import Hasklepias import Cohorts tests :: TestTree tests = testGroup "example" [testCase "true is true" (True @?= True) ]
-
Add a
cabal.project
file in the project’s root directory with the following, making sure to set thetag
field to the git tag of theasclepias
version to use. Replace<myProj>
with your project name.source-repository-package type: git location: https://github.com/novisci/asclepias.git tag: <SET TO DESIRED VERSION TAG, e.g. v0.27.0> subdir: hasklepias-core hasklepias-main event-data-theory packages: ./<myProj>.cabal
-
Add the following entries to
.gitignore
, adding a.gitignore
file in the project root if necessary:dist-newstyle* *.tix
-
Run
cabal build
to ensure the minimal project builds successfully.
4. Create Cohort Application
Cohorts are created in the Cohorts.hs
file.
To define cohorts in asclepias,
one must create a CohortSpec
type.
The CohortSpec
type takes three inputs:
-
The shape of the input data
-
The shape of the output data
-
an IndexSet
Instructions on creating a cohort follow.
a. Import Fact-Model
If the project data does not meet the Data Requirements, or the ETL process will not be run on your data, skip this step.
-
Go to the event-data-model repository.
-
Identify the SHA commit containing your model.
-
After the last
package
declaration incabal.project
, add thefact-models
dependency using the following code, replacingYourCommitSHA`
with the SHA commit identified above.source-repository-package type: git location: https://gitlab+deploy-token-ns-projects:glpat-7Z4w2JGrm2692Bshcqhd@gitlab.novisci.com/nsStat/event-data-model.git tag: YourCommitSHA subdir: fact-models
-
Add
Models.YourModelType
to your module import declaration.YourModelType
is the model type name defined in the Model.dhall file. -
Your model type can now be refereced in code using
YourModelType
.
b. Defining Input Data Shape
TODO - I think we need instructions on how to tag things I’m assuming that the tags will be in place already if using notionate?
If using the Event type, define your project event as follows:
type YourEvent a = Event YourTags YourModel a
where
a
is the temporal unit
YourTags
is the type of your project’s tags
YourModel
is the type of your project’s model
TODO Do you need to have a tag type defined? If so - can it be empty and what would that look like?
If not using the Event type, define your input data type base on your project’s requirements.
In the example below, the input data is a pair of values - one bool and one integer.
type InputData = (Bool, Integer)
TODO add comment on subject identifier construction for both Event and non-Event data
When using non-Event
data,
the structure of the data still needs to meet certain requirements.
When parsed, the data must match the Population d
type,
where d
is the type of your input data.
The Population
type can be interpreted as the subject identifier.
Any type that is coercible to a Text
can be used for Population
.
The example below defines non-Event data.
The Population
has type Integer
.
The input data type d
has type MyInputData
,
which is equivalent to (Bool, Integer)
.
examplePopulation :: Population MyInputData
examplePopulation =
from @[(Integer, MyInputData)]
[ (1, (False, 5))
, (2, (True, 0))
, (3, (False, 99))
, (4, (False, -1))
, (5, (True, -2))
, (6, (False, 42))
, (7, (True, 8))
, (8, (True, 123))
, (9, (False, 85))
, (10, (True, 42))
]
Note examplePopulation
is defined in code.
To use non-Event flat files,
additional structure will be needed.
Contact the stats dev team for assistance.
c. Defining Output Data Shape
The output data is defined in the Cohorts.hs
file,
and should match the specifications for your project.
Below is an example of an output type using Event
format.
The output type for Event
data should always be Featureset
.
TODO - it’s hard to see the "shape" of the output data based on this What will a Featureset look like? Also, I didn’t think features were needed to create a cohort?
THIS EXAMPLE IS INCOMPLETE/INCORRECT AND WILL NOT COMPILE SEE https://gitlab.com/targetrwe/epistats/nsstat/asclepias/-/merge_requests/254#note_40905 AND https://gitlab.com/targetrwe/epistats/nsstat/asclepias/-/merge_requests/254#note_40906
featureRunner :: Interval Day -> Es Day -> Featureset
featureRunner i es = do
let ix = pure i
let ev = pure es
let flwevents = eval defFlwupEvents ix ev
featureset
( packFeature (eval defAge ix ev)
:| [packFeature (eval defOutcome flwevents)]
<> statinCovariates ix ev
)
Below is an example of a custom output type.
type OutputData = (Fanaticism, Maybe Integer)
d. Defining an IndexSet
An IndexSet represents the set of all index dates for an event. asclepias requires a function defining how to create the IndexSet from the input data in order to create a CohortSpec.
An IndexSet can always be made by applying the makeIndexSet
function to a list.
Further, asclepias also defines an instance of into
,
which coerces a list into an IndexSet.
In fact, makeIndexSet is just a wrapper around into
,
as seen below:
makeIndexSet :: (Ord i) => [i] -> IndexSet i
makeIndexSet = into
Creating an empty IndexSet
If no index is required for your project, no function need be defined explicitly. But, you could create a function like that below:
emptyIndex :: YourInputDataType -> IndexSet ()
emptyIndex _ = makeIndexSet [()]
Update YourInputDataType
with your project-specific input data type.
Instead, you could also use ()
for the Index type when needed.
Creating an IndexSet from an Event
Define a function with type [Event t m a] → IndexSet (Interval a)
,
where t
represents the project tags,
m
represents the project model,
and a
represents the type of the project’s temporal unit
The following example index function takes in a list of Event
s
and creates an IndexSet
where the index is defined as
the last day that YOUR_TAG
occurred for longer than 1 temporal unit (a
)
during yourStudyPeriod
.
TODO - THIS EXAMPLE IS INCOMPLETE/INCORRECT AND WILL NOT COMPILE https://gitlab.com/targetrwe/epistats/nsstat/asclepias/-/merge_requests/254#note_40892 https://gitlab.com/targetrwe/epistats/nsstat/asclepias/-/merge_requests/254#note_40893
index :: [Event t m a] -> IndexSet (Interval a)
index events =
events
|> filterEvents (containsTag [YOUR_TAG])
|> combineIntervals
|> filter
(getPredicate
(Predicate ((> 1) . duration) &&& Predicate (concur yourStudyPeriod))
)
|> fmap (endervalMoment . end)
|> into
Creating an IndexSet from a list
Define a function with type YourInputDataType → IndexSet (Interval a)
,
where YourInputDataType
is the name of your input data type.
TODO - what restrictions are there when not using Event type? TODO finish instructions after getting more feedback on restrictions
e. Define Tags
TODO in the asclepias-project-example we needed to do this, but I feel like if we use event-data-model, the tags are already defined in a "real" project, will tags need to be defined in code?
Best Practices
The TagSet
type t
should be a sum type object.
Meaning, each possible tag should be enumerated in the type
(data MyProjectTags = Diabetes | BirthDay | InHospital | ...
).
By defining the tag set as a sum type, type safety is ensured.
One cannot misspell a tag or use an undefined tag, for example.
This is in contrast to a common alternative to a sum type,
a Text
type.
Text
has no such guarantees on type safely.
One can misspell a Text
tag.
One can also define a function checking the values of a Text
tag
that compiles, but does not produce correct output.
Again, the recommendation is to use sum types for all TagSet
definitions.
The schema (m
) type for an Event
must be an instance of
Eq
, Show
, Generic
, and FromJSON
typeclasses.
The
DeriveGeneric
language extension makes deriving the Generic
instance trivial,
as in the code above.
At this time, users do need to provide the FromJSON
instance,
and the boilerplate in the example above should work in most cases.
The tag (t
) type for an Event
must be an instance of
Eq
, Show
, Typeable
, and FromJSON
typeclasses.
Making t
Generic
will also make it Typeable
,
so in most cases simply deriving (Eq, Show, Generic)
and a stock FromJSON
instance
is sufficient for the tag type.
The event-data-theory
packages provides a few utilities for testing
a new model.
These can be found in the EventDataTheory.Test
module,
which is not included in the main set of exported modules.
The eventDecodeTests
and eventDecodeFailTests
functions, for example, test for
successful parsing and successful failed parsing (respectively)
of EventLine m t a
into the corresponding Event t m a
.
These functions take a directory path as an argument.
Each file ending .jsonl
in that directory should contain
a single EventLine
as JSON
to be tested.
See the test
directory and EventDataTheory.TheoryTest
module
in this package for examples.
f. Define Criteria
A Criteria
is a set of Criterion
,
paired with a natural number.
newtype Criteria = MkCriteria [ (Natural, Criterion) ]
deriving (Eq, Show)
Each Criterion
is a tuple,
(Text, Status)
,
where the Text
value represents a label
and the Status
is either Include
or Exclude
.
newtype Criterion = MkCriterion ( Text, Status ) deriving (Eq, Show)
excludeIf
and includeIf
are helper function
that take in a Bool
and return a Status
.
exludeIf False
returns Include
and
excludeIf True
returns Exclude
.
includeIf
, given the same inputs,
returns the opposite Status
values.
includeIf :: Bool -> Status
includeIf True = Include
includeIf False = Exclude
excludeIf :: Bool -> Status
excludeIf True = Exclude
excludeIf False = Include
CohortSpec
requires a function that
takes in the IndexSet
and
the shape of the input data and
returns the Criteria
.
Instructions on creating the criteria-producing function follow.
-
Review the SAP for the inclusion/exclusion criteria.
-
(Recommended) Create a function for each inclusion/exclusion in the SAP that returns a
Status
. -
Define your criteria-producing function.
-
Define your function type,
a → YourInputData → Criteria
, wherea
is yourIndexSet
type andYourInputData
is your input data type. -
Apply the correct pattern matching for your input data.
-
Define the function output as
criteria [yourCriterionList]
whereyourCriterionList
is constructed ascriterion yourLabel (yourCriterionFunction yourInput)
. If any of thesecriterion
statements result in aStatus
ofExclude
, the subject will be excluded.
In the example below we define an empty index set, YourIndex
,
and a new type, YourInputData
which represents the input data type.
We use these types to define yourCriteria
,
a function that returns the Status
Include
if the boolean value that
is contained in YourInputDataType
is False
,
and the integer in YourInputDataType
is greater than 5.
Otherwise Exclude
is returned.
type YourInputData = (Bool, Integer)
yourIndex :: YourInputDataType -> IndexSet ()
yourIndex _ = makeIndexSet [()]
yourCriterion1 :: Bool -> Status
yourCriterion1 b = incudeIf b
yourCriterion2 :: Integer -> Status
yourCriterion2 n = includeIf (n > 5)
yourCriteria :: () -> YourInputData -> Criteria
yourCriteria myIndex (b, n) =
criteria
[ criterion "include if b = True" (yourCriterion1 b)
, criterion "include if n > 5" (yourCriterion2 n)
]
Using the Event
type data allows the use of additional asclepias functionality.
TODO include an example with event data that does not use the feature-to-criteria coercion
Note that Criteria
can also be created from the Feature
type.
You can use into
to cast a Feature n Status
.
The instance of into
is defined below.
instance KnownSymbol n => From (Feature n Status) Criterion where
from x = MkCriterion
( pack $ symbolVal (Proxy @n)
, case s of
Left mr -> Exclude
Right sta -> sta
)
where s = getData x
The Text
component of the Criterion
tuple is taken from the n
ame of the Feature n Status
.
The Status
component of the Criteria
tuple is set to Exclude
for all Left
values of Feature n Status
.
Right
values return the Status
of the of the Feature n Status
object,
which can either be Exclude
or Include
.
Note that the user defines how the Left
values are constructed in the Feature
itself.
Below is an example of defining the criteria-producing function using this coercion.
The input data have the standard Event
type.
For inclusion, a subject must be over 50 years old.
ageAtIndex
is defined separately because it is used for both the criteria
and the features.
TODO - THIS EXAMPLE IS INCOMPLETE/INCORRECT AND WILL NOT COMPILE https://gitlab.com/targetrwe/epistats/nsstat/asclepias/-/merge_requests/254#note_40888
type Es a = [Event YourProjectTags YourProjectModel a]
ageAtIndex :: Interval Day -> Es Day -> F "ageAtIndex" Integer
ageAtIndex i events =
events
|> viewBirthYears ( getFacts . getContext )
|> fmap (\y -> computeAgeAt (date y 1 7) (begin i)) -- Use July 1 YEAR as birthdate
|> headMay
|> \case
Nothing -> makeFeature $ missingBecause InsufficientData
Just age -> pure age
critOver50 :: Def (F "ageAtIndex" Integer -> F "isOver50" Status)
critOver50 = define (includeIf . (>= 50))
critRunner :: Interval Day -> Es Day -> Criteria
critRunner i es =
let age = ageAtIndex i es
in let crit1 = eval critOver50 (ageAtIndex i es)
in criteria [into crit1]
featureRunner :: Interval Day -> Es Day -> Featureset
featureRunner i es = do
let ix = pure i
let ev = pure es
featureset
( packFeature (eval (defineA ageAtIndex) ix ev)
)
h. Define Cohort Specification
Event Data Example
cohortSpecs :: CohortMapSpec (Es Day) Featureset (Interval Day)
cohortSpecs = makeCohortSpecs [("main", index, critRunner, featureRunner)]
Non-Event Data Example
minimalCohort :: CohortSpec InputData OutputData ()
minimalCohort = specifyCohort emptyIndex sillyCriteria sillyOutput
5. Test Cohort Application
Unit Tests
Unit tests examine minimal, independent pieces of code to ensure correct functionality. The goal is to have 100% "coverage", meaning every line of code is executed during unit testing. Positive test cases - where results are returned - and negative test cases - where errors are expected - should be written. Test cases should be written based on the project’s specifications and requirements.
Guidelines
-
Pick a minimal, independent piece of code.
-
Review your project specifications for the expected functionality of that code.
-
Create negative test cases.
-
Answer the following questions:
-
When should your code fail?
-
What specifically will inputs that cause failure look like?
-
How should the code fail (error, warning, silent failure)?
-
For each expected failure, define a set of inputs that should result in this failure.
-
For each expected failure, define a set of expected results.
-
Create positive test cases.
-
Answer the following questions:
-
When should your code succeed?
-
What, specifically, will inputs that cause successful results look like?
-
How do the successful results differ based on input values?/ What are the possible combinations of inputs that result in successful, but different results?
-
For each expected success, define a set of inputs that should result in this success.
-
For each expected success, define a set of expected results.
-
Put all test cases into a test plan.
-
Run the test plan using
cabal test
.
Example
Below is the definition for an index
function.
TODO - THIS EXAMPLE WILL NOT COMPILE SEE https://gitlab.com/targetrwe/epistats/nsstat/asclepias/-/merge_requests/254#note_40914
index :: Es Day -> IndexSet (Interval Day)
index events =
events
|> filterEvents (containsTag [YourTag])
|> combineIntervals
|> filter
(getPredicate
(Predicate ((> 1) . duration) &&& Predicate (concur studyPeriod))
)
|> fmap (endervalMoment . end)
|> into
The index for this study is specified as the last unit of any time interval
that concurs with the study period,
and has duration greater than 1,
and also contains the tag "YourTag".
We wish to test that index
meets these specifications.
Below is the unit test for index
.
TODO - THIS EXAMPLE WILL NOT COMPILE SEE https://gitlab.com/targetrwe/epistats/nsstat/asclepias/-/merge_requests/254#note_40914
indexTests :: TestTree
indexTests = testGroup
"Tests of the index function"
[ testCase "single mi discharge " $ index dummyEvents1 @?= makeIndexSet
[endervalMoment (date 2015 1 4)]
, testCase "multiple mi discharge: meeting intervals combine"
$ index dummyEvents2
@?= makeIndexSet [endervalMoment (date 2015 1 6)]
, testCase "multiple mi discharge: two indices "
$ index dummyEvents3
@?= makeIndexSet
[endervalMoment (date 2015 1 6), endervalMoment (date 2015 1 10)]
]
The unit test is a TestTree
type.
The testGroup
function creates the TestTree
.
testGroup
takes in a label,
in this case "Test of the index function",
followed by a list of testCase
statements.
Each testCase
takes in a label,
followed by $
,
followed by your function called with your input parameters,
followed by @?=
,
followed by your expected result.
For reference, the input data is defined below: TODO - THIS EXAMPLE WILL NOT COMPILE SEE https://gitlab.com/targetrwe/epistats/nsstat/asclepias/-/merge_requests/254#note_40914
dummyEvents1 :: Es Day
dummyEvents1 =
[ event
(si (date 2015 1 1, date 2015 1 4))
(context (packConcepts [MI_DISCHARGE])
(Diagnosis $ mkMedFact "aa" ICD10 Inpatient)
Nothing
)
]
dummyEvents2 :: Es Day
dummyEvents2 =
[ event
(si (date 2015 1 1, date 2015 1 4))
(context (packConcepts [MI_DISCHARGE])
(Diagnosis $ mkMedFact "aa" ICD10 Inpatient)
Nothing
)
, event
(si (date 2015 1 4, date 2015 1 6))
(context (packConcepts [MI_DISCHARGE])
(Diagnosis $ mkMedFact "aa" ICD10 Inpatient)
Nothing
)
]
dummyEvents3 :: Es Day
dummyEvents3 =
[ event
(si (date 2015 1 1, date 2015 1 4))
(context (packConcepts [MI_DISCHARGE])
(Diagnosis $ mkMedFact "aa" ICD10 Inpatient)
Nothing
)
, event
(si (date 2015 1 4, date 2015 1 6))
(context (packConcepts [MI_DISCHARGE])
(Diagnosis $ mkMedFact "aa" ICD10 Inpatient)
Nothing
)
, event
(si (date 2015 1 7, date 2015 1 10))
(context (packConcepts [MI_DISCHARGE])
(Diagnosis $ mkMedFact "aa" ICD10 Inpatient)
Nothing
)
]
Notes on Generate Input Data
Data access is strictly managed, and so generating dummy data is encouraged. Further, marshalling data in to haskell requires parsers, which makes creating dummy data in a separate file difficult. We understand the difficulty of this process, and hope to provide utilities in the future to assist with this process. Feedback is welcome.
Integration Test
An integration test examines the connection between units of code, within a single application - in this case aclepias. Again, positive and negative test cases should be considered. Any integration test using actual data must be done on the stats server. If using VSCode, use of the IDE’s remote development tools is recommended. For instructions on installing these tools, see TODO add link. For ease of viewing the results, installing jq is recommended. TODO add link to jq installation instructions
-
Log on to the stats server using VSCode’s remote tools if necessary.
-
Identify the file name of a partition of data to input into the application.
-
Open a terminal
-
If using a local file to test use the following command:
-
PROJECT --dir DIR --file FILE.jsonl | jq
-
If using S3 to test, use the following command:
-
TODO
-
Debug and repeat as needed until results are returned error-free.
Examples
This section provides detailed examples of asclepias
usage.
Features
This section provides examples of feature creation.
Find the last event that occurs within a time window of other events
This example demonstrates:
-
the
formMeetingSequence
function frominterval-algebra
-
handling a failure case
-
writing a function generic over both the tag and interval types
In this example, the goal is to write a function that, given a list of tags, converts a list of events into a list of interval durations such that:
-
the events with any of the given tags are combined into a "meeting sequence";
-
durations of events of the resulting sequence which have all of the given tags are returned;
-
but an empty result is treated as a failure.
A function like this could be useful if you wanted to find the durations of time when a subject was both hospitalized and on some medication. |
durationsOf
:: forall n m t a b
. (KnownSymbol n, Eventable t m a, IntervalSizeable a b)
=> [t]
-> [Event t m a]
-> Feature n [b]
durationsOf tSet =
filter (`hasAnyTag` tSet) (1)
.> fmap (into @(TagSetInterval t a)) (2) (3)
.> formMeetingSequence (4)
.> filter (`hasAllTags` tSet) (5)
.> \x -> if null x (6)
then makeFeature $ featureDataL $ CustomFlag "no cases"
else makeFeature $ featureDataR (durations x)
Take the case that a subject has the following events, and we want to know the duration that a subject was both hospitalized and on antibiotics. Below, we walk through the function step-by-by using this case.
-- <- [Non-medication]
---- <- [Hospitalized]
-- <- [Antibiotics]
---- <- [Antibiotics]
------------------------------
1 | Filter events to those that contain at least one
of the given tags.
|
2 | Cast each event into a TagSetInterval t a ,
which is a synonym for PairedInterval (TagSet t) a . |
3 | This step is important for the formMeetingSequence function,
as it requires the "data" part of the paired interval to be a Monoid .
TagSet are a Monoid by unioning the elements of two values. |
4 | Form a sequence of intervals where one meets the next.
The data of the running example would look like:
|
5 | Filter to those intervals that have both of the given tags.
Note that hasAllTags works here because
PairedInterval (TagSet c) a is defined as an instance of the HasTag
typeclass in event-data-theory .
|
6 | Lastly, if the result of the previous step is empty,
we return a failure, i.e. a Left value of FeatureData .
Otherwise, we return the durations of any intervals,
as a successful Right value of FeatureData . |
The durationsOf
function can be lifted into a Definition
using defineA
:
def
:: (KnownSymbol n1, KnownSymbol n2, Eventable t m a, IntervalSizeable a b)
=> [t] (1)
-> Def (F n1 [Event t m a] -> F n2 [b]) (2)
def tSet = defineA (durationsOf tSet)
1 | Create a function which takes a list of tags and |
2 | Returns a Definition |
Find durations of time that satisfy multiple conditions
This example demonstrates
-
reasoning with the interval algebra
-
manipulating intervals
-
using a tag set to group events
In this example, the goal is to write a function that, given a pair of lists of tags and an interval of time:
-
filters an input list of events to those that concur with the given interval. Note that concur, in this context, means that the intervals are not disjoint.
-
splits the events into those with the first tag and those with the second
-
returns the start of the last event of the first tag set where it occurs within +/- 3 time units of an event of the second tag set.
A function like this is useful for defining an index event where the index needs to concur with a time window of other events. |
examplePairComparison
:: (Eventable t m a, IntervalSizeable a b)
=> ([t], [t])
-> Interval a
-> [Event t m a]
-> Maybe a
examplePairComparison (t1, t2) i =
filterConcur i -- (1)
.> splitByTags t1 t2 (2)
.> uncurry allPairs (3)
.> filter (\pr -> fst pr `concur` expand 3 3 (snd pr)) (4)
.> lastMay (5)
.> fmap (begin . fst) (6)
Take the case that a subject has the following events,
and we want to know the first time a diagnosis
occurred within +/- 3 days of a procedure.
Our given interval, called Baseline
here,
is (6, 15).
Below, we walk through the function step-by-by using this case.
--------- <- Baseline - <- [pr] - <- [pr] - <- [dx] - <- [pr] ---- <- [foo] ------------------------------
1 | Filter events to those concurring with the given interval.
--------- <- Baseline - <- [pr] - <- [dx] - <- [pr] ---- <- [foo] ------------------------------ |
2 | Form a pair of lists where the first element
has t1 (dx in our example) event intervals and
the second has t2 (pr in our example) event intervals.
Any events without tag t1 or t2 are dropped.
In the running example,
the intervals of the events would make the
following pair:
( [(10,11)] -- the dx event interval , [(6,7), (12,13)] -- the pr event intervals ) |
3 | Form a list of all (c1, c2) pairs of event intervals
from the previous step.
[ ( (10,11), (6,7) ) , ( (10,11), (12,13) ) ] |
4 | Expand the c2 (pr) event intervals by +/- 3 units of time.
[ ( (10,11), (3,10) ) , ( (10,11), (9,16) ) ] Then, filter this list to include only instances
where the [ ( (10,11), (9,16) ) ] |
5 | Take Just the last element of the list, if it exists.
Otherwise, Nothing . |
6 | If it exists, take the begin of the last c1 interval.
In our example, this is Just 10 . |
Lastly, the example function can be lifted into a Definition
using
the define
function:
def
:: (Eventable t m a, IntervalSizeable a b)
=> ([t], [t])
-> Def (F n1 (Interval a) -> F n2 [Event t m a] -> F n3 (Maybe a))
def tag = define (examplePairComparison tag)
Create a function for identifying whether a unit has a history of some event
This example demonstrates:
-
a simple feature
-
writing a function in order to create multiple
Feature
definitions
Epidemiologic studies often seek to determine whether and when some event occurred. In general, the event logic can be quite complicated, but this example demonstrates a simple feature. We wish to determine whether an event of some given tag set occurred, relative to a provided assessment interval.
The function is given here:
makeHx
:: (Ord a)
=> [Text] (1)
-> AssessmentInterval a
-> [Event Text ExampleModel a]
-> Maybe (Interval a) (2)
makeHx t i events =
events
|> filterEvents (containsTag t &&& Predicate (encloses i)) (3)
|> lastMay (4)
|> fmap getInterval (5)
1 | The example events use Text as the type of tag set,
so the first argument is a list of Text values
that will be used to filter events. |
2 | The return type is Maybe (Interval a) .
A value of Nothing indicates that no event of interest occurred.
If one or more events occur,
a value of Just < some interval > is the interval
of the last event. |
3 | The first step in the function is to filter events
to those that contain at least one of the given tags
and satisfies an interval relation relative to assessment interval.
For this example, we use the encloses relation,
meaning the event must not overlap either end of the assessment interval. |
4 | The lastMay function returns the last element of a list,
if the last is not empty. |
5 | Lastly, getInterval gets the interval component from the event.
The fmap function is necessary to apply the function
to a Maybe (Event Text ExampleModel a) . |
With the makeHx
function,
we can create feature definitions:
duckHxDef (1)
:: (Ord a)
=> Definition
( Feature "index" (AssessmentInterval a)
-> Feature "events" [Event Text ExampleModel a]
-> Feature "duck history" (Maybe (Interval a))
)
duckHxDef = define (makeHx ["wasBitByDuck", "wasStruckByDuck"])
macawHxDef (2)
:: (Ord a)
=> Definition
( Feature "index" (AssessmentInterval a)
-> Feature "events" [Event Text ExampleModel a]
-> Feature "macaw history" (Maybe (Interval a))
)
macawHxDef = define (makeHx ["wasBitByMacaw", "wasStruckByMacaw"])
1 | Defines a feature that identifies whether a unit was hit by a duck or struck by a duck. |
2 | Defines a feature that identifies whether a unit was hit by a macaw or struck by a macaw. |
Creating "Two outpatient or one inpatient"
This example demonstrates:
-
a common feature used in studies of medical claims data
-
using a template to define a feature building function
This example defines a feature that indicates either:
-
at least 1 event during the baseline interval has a tag from the
tag1
tag set -
there are at least 2 events that have tag set
tag2
which have at least 7 days between them during the baseline interval
twoOutOneIn
:: (IntervalSizeable a b)
=> [Text] -- ^ inpatientTags
-> [Text] -- ^ outpatientTags
-> Definition (1)
( Feature "index" (Interval a)
-> Feature "allEvents" [Event Text ExampleModel a]
-> Feature name Bool
)
twoOutOneIn inpatientTags outpatientTags = buildNofXOrMofYWithGapBool (2)
1
(containsTag inpatientTags) (3)
1
7
(containsTag outpatientTags) (4)
concur
(makeBaselineMeetsIndex 10) (5)
1 | The twoOutOneIn function returns a
Definition . |
2 | We use the
buildNofXOrMofYWithGapBool
template function to build our definition.
This function takes seven arguments. |
3 | The first two are passed to the
buildNofX
template.
The given arguments say that we’re looking for at least 1 event
that contains one or more of the inpatientTagSet . |
4 | The next three arguments are passed to the
buildNofXWithGap
template.
The given arguments say that we’re looking for at least 1 gap
between any pair of events (and thus at least 2 events)
that contains one or more of the outpatientTagSet . |
5 | The last two arguments determine when the events
must occur relative to the index event.
Here, the events must concur with a baseline assessment interval. |
Count number of events
This example demonstrates:
-
using the
AssessmentInterval
type -
using the
combineIntervals
function -
counting the number of events satifying a condition
This example defines a function that takes
an AssessmentInterval
and a list of ExampleModel
events to return a pair:
(count of hospitalization events,
duration of the last hospitalization).
countOfHospitalEvents
:: (IntervalSizeable a b)
=> AssessmentInterval a
-> [Event Text ExampleModel a]
-> (Int, Maybe b)
countOfHospitalEvents i =
filterEvents (containsTag ["wasHospitalized"]) (1)
.> combineIntervals (2)
.> filterConcur i (3)
.> (\x -> (length x, duration <$> lastMay x)) (4)
Consider the follow events as a working example:
********** <- [assessment]
--- <- [wasHospitalized]
-- <- [wasHospitalized]
-- <- [notHospitalized]
----- <- [wasHospitalized]
====================
1 | As a first step,
events are filtered to those satisfying the predicate of interest,
In this example, events are filtered to those that contain the tag wasHospitalized :
|
2 | The combineIntervals function from the interval-algebra package
combines intervals that are not before or after .
As in our example, this step can be important to combine intervals
that we consider to be a single event.
In the example, the first and second events
would be joined into one event.
|
3 | After combining the intervals,
then the intervals are filtered to those not disjoint
from the assessment interval.
This step includes all hospitalization intervals in our running example.
|
4 | Lastly, the result is derived from remaining hospitalization intervals.
The example result is (2, Just 5)
since there are 2 intervals and the duration of the last one is 5. |
The function presented here is one of many ways to filter and count intervals.
For example, the current function
includes hospitalizations that overlap the assessment interval.
If one wanted to filter out such hospitalizations,
the Another consideration is the duration measurement. The current function measurement the duration of the last hospitalization interval, disregarding the assessment interval. One may instead want to measure the duration that concurs with the assessment. |
The countOfHospitalEvents
function can be lifted into a Definition
using define
:
countOfHospitalEventsDef
:: (IntervalSizeable a b)
=> Definition
( Feature "index" (AssessmentInterval a)
-> Feature "events" [Event Text ExampleModel a]
-> Feature "count of hospitalizations" (Int, Maybe b)
)
countOfHospitalEventsDef = define countOfHospitalEvents
Discontinuation from a Drug
This example demonstrates:
-
complex
interval-algebra
functionality -
use of the
bind
operator (>>=
)
In this example, the goal is to write a function that, given an assessment interval and list of events:
-
filters to antibiotic events
-
allows for a gap of 5 days between antibiotic events
-
only allow for treatment sequences that are started or overlapped by the assessment interval
-
returns the time discontinuation begins and the time since the beginning of the assessment interval to discontinuation.
For this example, we walkthrough three cases.
********** <- [assessment]
--- <- [tookAntibiotics]
-- <- [tookAntibiotics]
-- <- [wasHopitalized]
----- <- [tookAntibiotics]
====================
********** <- [assessment]
-- <- [tookAntibiotics]
----- <- [tookAntibiotics]
====================
********** <- [assessment]
--- <- [tookAntibiotics]
====================
The logic of the feature is defined in the discontinuation
function:
discontinuation
:: (IntervalSizeable a b)
=> AssessmentInterval a
-> [Event Text ExampleModel a]
-> Maybe (a, b)
discontinuation i events =
events
|> filterEvents (containsTag ["tookAntibiotics"]) (1)
|> fmap (expandr 5) (2)
|> combineIntervals (3)
|> nothingIfNone (startedBy <|> overlappedBy $ i) (4)
|> (>>= gapsWithin i) (5)
|> (>>= headMay) (6)
|> fmap (\x -> (begin x, diff (begin x) (begin i))) (7)
1 | First, we filter to events that have the tag "tookAntibiotics" .
In Case 1, the third interval is filtered out:
Cases 2 and 3 are unchanged. |
||
2 | To allow for a grace period of 5 days between antibiotic events,
each antibiotic event is extended by 5 units using the expandr function:
For Case 1, this results in:
And similarly for Cases 2 and 3. |
||
3 | Antibiotic intervals that concur are considered one treatment sequence,
so combineIntervals is used to collapse these intervals.
In all the example cases,
this results in one interval;
e.g. for Case 2:
|
||
4 | With all the treatment intervals transformed
to allow for a gap in treatment;
now we handle the case where none of the intervals
start or overlap the assessment interval.
The nothingIfNone function takes a predicate and a list
and returns Nothing if none of the list elements satisfy the predicate;
otherwise, it returns Just the list.
In Cases 1 and 3, the assessment interval is
|
||
5 | So far, we have the treatment interval in hand.
We’re interested, though, in discovering gaps in treatment
which is considered discontinuation.
The gapsWithin function find gaps in the input intervals
clipped to the assessment,
yielding Nothing if no such gaps exist and
Just the gaps otherwise.
(See note about >>= below)
Case 1 has no gaps, hence the final result is
|
||
6 | If there are multiple gaps in treatment, the first one is the discontinuation of interest. | ||
7 | Finally, provided that a gap in treatment exists,
the time of discontinuation is the begin of that gap.
The time from the start of assessment to discontinutation is computed by
diff (begin x) (begin i) .
For Case 2, the final result is |
As implemented, a Nothing result from discontinuation could either
indicate that a subject did not discontinue
or that they simply had no antibiotics records.
If such a distinction is important,
the function could be modified to disambiguate these case
using a sum type for example.
|
The discontinuation
function can be lifted into a Definition
using define
:
discontinuationDef
:: (IntervalSizeable a b)
=> Definition
( Feature "index" (AssessmentInterval a)
-> Feature "events" [Event Text ExampleModel a]
-> Feature "discontinuation" (Maybe (a, b))
)
discontinuationDef = define discontinuation
>>=
operatorThe >>=
comes from Haskell’s Monad
typeclass.
Sometimes called the bind operator, it has the following type signature:
(>>=) :: m a -> (a -> m b) -> m b
Consider these lines of discontinuation
function:
|> nothingIfNone ( startedBy <|> overlappedBy $ i)
|> (>>= gapsWithin i)
-
The type coming out of the
nothingIfNone
isMaybe [Interval a]
. -
The type for
gapsWithin i
is[Interval a] → Maybe [Interval a]
, and we want that to return aMaybe [Interval a]
.
If you put those pieces together, you have a concrete signature for >>=
:
Maybe [Interval a] -> ([Interval a] -> Maybe [Interval a]) -> Maybe [Interval a]
Cohorts
This section provides examples for defining cohorts.
Defining an Index Set
This example demonstrates:
-
how to create an index set
In this example, index is defined as the first time that a subject was bitten by an Orca (ICD10 codes W56.21/W56.21XA).
defineIndexSet
:: Ord a
=> [Event Text ExampleModel a] (1)
-> IndexSet (Interval a) (2)
defineIndexSet events =
events
|> filterEvents (containsTag ["wasBitByOrca"]) (3)
|> headMay (4)
|> fmap getInterval (5)
|> into (6)
1 | The input type for this example is a list of events,
where the tag set is Text ,
the data model is ExampleModel ,
and the interval time is a generic type a . |
2 | The return type is an Indexset of Interval .
The IndexSet type is defined in hasklepias-core
as either Nothing or a set of unique ordered values. |
3 | To determine whether a subject has an index,
we filter to the events tagged with the tag "wasBitByOrca" . |
4 | The headMay function gets the first event,
if one exists.
We’re assuming the input list has already been sorted. |
5 | Then we get the interval, if it exists. |
6 | The into function casts the output from <4> into a IndexSet (Interval a) type. |
Defining Assessment Intervals
This example demonstrates:
-
how to create assessment intervals for baseline and followup
In this example, TODO
bline :: (IntervalSizeable a b) => Interval a -> AssessmentInterval a
bline = makeBaselineMeetsIndex 60
flwup :: (IntervalSizeable a b) => Interval a -> AssessmentInterval a
flwup = makeFollowupStartedByIndex 30
Create a cohort with calendar-based indices
This examples demonstrates:
-
specifying cohorts from calendar-based indices
-
using
asclepias'
cohort module without using its feature module -
using an empty return type for the cohort data to just compute attrition information
Review the cohort building checklist TODO: create such a document |
Goal
Tha goal in this example is to create a cohort for each quarter of 2017. The cohort should include subjects if they have an enrollment event concurring with the first day of a quarter. For this example,
Decide on the data model
In this example, we use the following data model in our events: TODO
Here we create a type synonym for the the event type in this example
type Evnt = Event Text ExampleModel Day
Create intervals for dates used for indices
indices :: [Interval Day]
indices = map (\(y, m) -> beginervalMoment (fromGregorian y m 1))
(allPairs [2017] [1, 4, 7, 10])
Define criteria
isEnrollmentEvent :: Predicate Evnt
isEnrollmentEvent = Predicate
(\x -> case getFacts (getContext x) of
Enrollment -> True
_ -> False
)
Include the subject if she has an enrollment interval concurring with index.
enrolled :: Interval Day -> [Evnt] -> Status
enrolled i es = includeIf . not . null $ filterEvents
(Predicate (concur i) &&& isEnrollmentEvent)
es
Write Cohort Specification
A cohort is TODO: link to cohort definition
makeIndexRunner :: Interval Day -> [Evnt] -> IndexSet (Interval Day)
makeIndexRunner i _ = makeIndexSet [i]
makeCriteriaRunner :: Interval Day -> [Evnt] -> Criteria
makeCriteriaRunner index events = into @Criteria
[makeCriterion "isEnrolled" crit1]
where crit1 = enrolled index events
TODO: we could have done this a different way |
Templates
Features
This section includes description and usage guides for
Definition
templates.
A Definiton
is a function that returns a Feature
.
buildNofXBase
: Basis for N of X pattern
Use this function template to:
|
The buildNofXBase
template is used a basis
for creating new templates with the following pattern:
-
Filter events to those satisfying two conditions:
-
an interval relation with an
AssessmentInterval
-
a provided
Predicate
(such as containing a certain tag set)
-
-
Preprocess these events.
-
Process the events.
-
Postprocess the events, optionally in conjunction with the
AssessmentInterval
.
Usage and Examples
example = buildNofXBase combineIntervals (1)
(fmap end) (2)
(fmap . diff . begin) (3)
The example
function above returns another definiton builder
that performs this logic:
1 | combine the intervals of the input events (collapsing concurring and meeting intervals); |
2 | get the end of each interval; |
3 | computes the difference from each end
to the begin of the assessment interval. |
To then be fully specified as a Definition
and used in a project,
the example
function needs 3 additional inputs:
-
a function mapping the index interval to an assessment interval.
-
a predicate function comparing events to the assessment interval.
-
another predicate function on the events.
For example, the defBaseline180Enrollment
below is a Definition
that performs the logic of example
.
defBaseline180Enrollment = example (makeBaselineMeetsIndex 180) (1)
concur (2)
(containsTag ["enrollment"]) (3)
1 | Create a baseline interval from the index to 180 units (e.g. days) back in time. | ||
2 | Filter to events that concur with the baseline interval and | ||
3 | contains the tag "enrollment" .
|
Source code
View source code
buildNofXBase
:: ( Intervallic i0
, Intervallic i1
, Witherable container0
, Witherable container1
)
=> (container0 (Event t m a) -> container1 (i1 a)) -- ^ function mapping a container of events to a container of intervallic intervals (which could be events!)
-> (container1 (i1 a) -> t1) -- ^ function mapping the processed events to an intermediate type
-> (AssessmentInterval a -> t1 -> outputType) -- ^ function casting intermediate type to output type with the option to use the assessment interval
-> (i0 a -> AssessmentInterval a) -- ^ function which maps index interval to interval in which to assess the feature
-> ComparativePredicateOf2 (AssessmentInterval a) (Event t m a) -- ^ the interval relation of the input events to the assessment interval
-> Predicate (Event t m a) -- ^ The predicate to filter to Enrollment events (e.g. 'FeatureEvents.isEnrollment')
-> Definition
( Feature indexName (i0 a)
-> Feature eventsName (container0 (Event t m a))
-> Feature varName outputType
)
buildNofXBase runPreProcess runProcess runPostProcess makeAssessmentInterval relation predicate
= define
(\index ->
-- filter events to those satisfying both
-- the given relation to the assessment interval
-- AND the given predicate
filterEvents
(Predicate (relation (makeAssessmentInterval index)) &&& predicate)
-- run the preprocessing function
.> runPreProcess
-- run the processing function
.> runProcess
-- run the postprocessing function
.> runPostProcess (makeAssessmentInterval index)
)
buildNofX
: Do N events satisfy a predicate X?
Use this template to create a
|
Specialized Versions
buildNofXBool
-
specialized to return
Bool
. buildNofXBinary
-
specialized to return a
stype
Binary
value. buildNofXBinaryConcurBaseline
-
specialized to filter to events that concur with an assessment interval. created by
makeBaselineMeetsIndex
of a specified duration and a provided predicate. buildNofTagSetBinaryConcurBaseline
-
specialized to filter to events that concur with an assessment interval created by
makeBaselineMeetsIndex
of a specified duration and that have a given tag set.
Source code
View source code
buildNofX
:: (Intervallic i, Witherable container)
=> (Bool -> outputType) -- ^ casting function
-> Int -- ^ minimum number of cases
-> (i a -> AssessmentInterval a) -- ^ function to transform a 'Cohort.Index' to an 'Cohort.AssessmentInterval'
-> ComparativePredicateOf2 (AssessmentInterval a) (Event t m a) -- ^ interval predicate
-> Predicate (Event t m a) -- ^ a predicate on events
-> Definition
( Feature indexName (i a)
-> Feature eventsName (container (Event t m a))
-> Feature varName outputType
)
buildNofX f n = buildNofXBase id (\x -> length x >= n) (const f)
buildNofUniqueBegins
: Find the begin of all unique N events
Use this template to create a
|
Source code
View source code
buildNofUniqueBegins
:: (Intervallic i, IntervalSizeable a b, Witherable container)
=> (i a -> AssessmentInterval a) -- ^ function to transform a 'Cohort.Index' to an 'Cohort.AssessmentInterval'
-> ComparativePredicateOf2 (AssessmentInterval a) (Event t m a) -- ^ interval predicate
-> Predicate (Event t m a) -- ^ a predicate on events
-> Definition
( Feature indexName (i a)
-> Feature eventsName (container (Event t m a))
-> Feature varName [(b, Natural)]
)
buildNofUniqueBegins = buildNofXBase
(fmap (momentize . getInterval))
(fmap (, 1 :: Natural) .> F.toList .> M.fromList .> M.toList .> \x ->
uncurry zip (fmap (scanl1 (+)) (unzip x))
)
(\window -> fmap (\i -> (diff (begin (fst i)) (begin window), snd i)))
buildNofXWithGap
: Do events have a certain gap between them?
Use this template to create a
Find two outpatient events separated by at least 7 days is an example. |
Source code
View source code
buildNofXWithGap
:: ( Intervallic i
, IntervalSizeable a b
, IntervalCombinable i a
, Witherable container
)
=> (Bool -> outputType)
-> Int -- ^ the minimum number of gaps
-> b -- ^ the minimum duration of a gap
-> (i a -> AssessmentInterval a)
-> ComparativePredicateOf2 (AssessmentInterval a) (Event t m a)
-> Predicate (Event t m a)
-> Definition
( Feature indexName (i a)
-> Feature eventsName (container (Event t m a))
-> Feature varName outputType
)
buildNofXWithGap cast nGaps allowableGap = buildNofXBase
(-- just need the intervals
fmap getInterval
-- pairGaps needs List input as the container type
.> toList)
(-- get (Maybe) durations of interval gaps between all pairs
pairGaps
-- throw away any non-gaps
.> catMaybes
-- keep only those gap durations at least the allowableGap
.> F.filter (>= allowableGap)
-- are there at least as many events as desired?
.> \x -> length x >= nGaps
)
(const cast)
buildNofXOrNofYWithGap
: Is either buildNofX
or buildNofXWithGap
satisfied?
Use this template to create a
Find two outpatient events separated by at least 7 days or one inpatient event is an example. |
Source code
View source code
buildNofXOrMofYWithGap
:: ( Intervallic i
, IntervalSizeable a b
, IntervalCombinable i a
, Witherable container
)
=> (outputType -> outputType -> outputType)
-> (Bool -> outputType)
-> Int -- ^ count passed to 'buildNofX'
-> Predicate (Event t m a) -- ^ predicate for 'buildNofX'
-> Int -- ^ the minimum number of gaps passed to 'buildNofXWithGap'
-> b -- ^ the minimum duration of a gap passed to 'buildNofXWithGap'
-> Predicate (Event t m a) -- ^ predicate for 'buildNofXWithGap'
-> ComparativePredicateOf2
(AssessmentInterval a)
(Event t m a)
-> (i a -> AssessmentInterval a)
-> Definition
( Feature indexName (i a)
-> Feature
eventsName
(container (Event t m a))
-> Feature varName outputType
)
buildNofXOrMofYWithGap f cast xCount xPred gapCount gapDuration yPred intervalPred assess
= D2C f
(buildNofX cast xCount assess intervalPred xPred)
(buildNofXWithGap cast gapCount gapDuration assess intervalPred yPred)
buildIsEnrolled
: Does an enrollment event concur with index?
Use this template to create a
|
Source code
View source code
buildIsEnrolled
:: ( Intervallic i0
, Ord a
, Monoid (container (Interval a))
, Applicative container
, Witherable container
)
=> Predicate (Event t m a) -- ^ The predicate to filter to Enrollment events (e.g. 'FeatureEvents.isEnrollment')
-> Definition
( Feature indexName (i0 a)
-> Feature eventsName (container (Event t m a))
-> Feature varName Status
)
buildIsEnrolled predicate = define
(\index ->
F.filterEvents predicate
.> combineIntervals
.> any (concur index)
.> includeIf
)
buildContinuousEnrollment
: Does a sequence of enrollment events continuously occur?
Use this template to create a
|
Source code
View source code
buildContinuousEnrollment
:: ( Monoid (container (Interval a))
, Monoid (container (Maybe (Interval a)))
, Applicative container
, Witherable container
, IntervalSizeable a b
)
=> (i0 a -> AssessmentInterval a) -- ^ function which maps index interval to interval in which to assess enrollment
-> Predicate (Event t m a) -- ^ The predicate to filter to events (e.g. 'FeatureEvents.isEnrollment')
-> b -- ^ duration of allowable gap between intervals
->
{- tag::templateDefSig0 [] -}
Definition
( Feature indexName (i0 a)
-> Feature eventsName (container (Event t m a))
-> Feature prevName Status
-> Feature varName Status
)
{- end::templateDefSig0 [] -}
buildContinuousEnrollment makeAssessmentInterval predicate allowableGap =
define
(\index events prevStatus -> case prevStatus of
Exclude -> Exclude
Include -> includeIf
(makeGapsWithinPredicate
all
(<)
allowableGap
(makeAssessmentInterval index)
(combineIntervals $ F.filterEvents predicate events)
)
)
References
Lawvere Theory: https://bartoszmilewski.com/2017/08/26/lawvere-theories/
asclepias
GitLab: https://gitlab.com/targetrwe/epistats/nsstat/asclepias
Haskell Setup: nsBuild site
Event Data Model Documentation: noviverse pages