The inaugural Government & Public Sector R Conference took place virtually from December 2nd to December 4th. With over 240 attendees, 26 speakers, three panelists and a rum masterclass class leader, the R|Gov conference was a place where data scientists could gather remotely to explore, share, and inspire ideas.
Check out some of the highlights from the conference:
Graciela Chichilnisky explains how financial instruments can resolve climate change
One of my former professors at Columbia University, Dr. Graciela Chichilnisky, gave a presentation on how financial instruments can resolve climate change quickly and effectively by using existing capital markets to benefit high—and, especially, low—income groups. The process Dr. Chichilnisky proposes is simple and can lead to a transformation of our capitalistic economy in the direction of human survival. Furthermore, it is realistic and is profitable. Dr. Chichilnisky acted as the lead U.S. author on the Intergovernmental panel on Climate Change, which received the 2007 Nobel Prize for its work in deciding world policy with respect to climate change, and she worked extensively on the Kyoto Protocol, creating and designing the carbon market that became international law in 2005.
Another classic no-slides talk from Andrew Gelman on how his team and The Economist Magazine built a presidential election forecasting model
Another professor of mine, Andrew Gelman told us he wanted to give a talk on how his team’s election forecasting succeeded brilliantly, failed miserably, or landed somewhere in between. To build the model, they combined national polls, state polls, and political and economic fundamentals. Because we didn’t know the results of the election at the time, he didn’t know which of the three he’d be talking about… So how did his election forecast perform? The model predicted 49 out of 50 states correctly… But that doesn’t mean the forecast was perfect… For some background, see this article.
Wendy Martinez inspires and shares lessons about the rocky road she traveled to using R at a U.S. Government agency
Wendy Martinez described some of her experiences — both successes and failures — using R at several U.S. government agencies. In addition to serving as the Director of the Mathematical Statistics Research Center at the Bureau of Labor Statistics (BLS) for the last eight years, she is currently the President of the American Statistical Association (ASA), and she also served in several research positions throughout the Department of Defense. She has also written two books on MATLAB! It’s nice to see that she switched to open source.
Colonel Alfredo Corbett Spoke On Air Combat Command Enterprise Data Improvements
Deputy Director of Communications of the United States Air Force Colonel Alfedo Corbett showed us why, in his work, data can be a warfighting asset, fundamental to how Air Combat Command (ACC) operates in—and supports—all domains of warfare. In coordination with the Department of Defense and the Department of the Air Force, ACC is working to improve its data governance, data architecture, data standards, and data talent & culture, implementing major improvements to the way it manages, acquires, ingests, stores, processes, exploits, analyzes, and delivers data to its almost 100,000 operators.
We Participated in Two Virtual Happy Hours!
At lunch on the first day of the conference, we took a dive into the history and distillation process of a legendary rum made at the longest continuously running distillery in the world, Mount Gay Brand Ambassador Darrio Prescod shared his knowledge and transported us to Barbados (where he tuned in from virtually). Following the second day of the conference, members of the Mount Gay brand development team took us through a rum tasting and shook up a couple of cocktails. Attendees and speakers listened and hung out, drinking rum, matcha, soda or water during our virtual happy hour.
All proceeds from the A(R)T Auction went to the R Foundation
We took an R-Ladies group [virtual] selfie. We would like to note that more R-Ladies participated, but chose not to share video.:
Jon Harmon, Selina Carter, Mayarí Montes de Oca & DiKayo Data win Raspberry Pis, Noise Cancelling Headphones, and Gaming Mechanical Keyboards for Most Active Tweeting You can see the R|Gov 2020 R Shiny Scoreboard here! A custom started at DCR 2018 by our Twitter scorekeeper Malorie Hughes (@data_all_day), has returned every year by popular demand. Congratulations to our winners!
52 Conference Attendees Participated in Pre-Conference Workshops
We ran the following workshops prior to the conference:
Geospatial Statistics and Mapping in R with Kaz Sakamoto
Introduction to Machine Learning for Public Policy with Jonathan Hersh
Moving from DCR to R|Gov With the shift to remote, we realized we could welcome a global audience to our annual conference, as we did for the virtual New York R Conference in August. And that gave birth to R|Gov, the Government and Public Sector R Conference. This new industry-focused conference focused on work in government, defense, NGOs and the public sector, and we have speakers from not only the DC-area, but also from Geneva, Switzerland, Nashville, Tennessee, Quebec, Canada and Los Angeles, California. For next year, we are working to invite speakers from more levels of government–local, state and federal. You can read more about this choice here.
Like NYR, R|Gov featured many in-person components of the gathering, like networking sessions, speaker walk-on songs and fun facts, happy hours, lots of giveaways, the Twitter contest, and the auction.
Thank you, Lander Analytics Team!
Even though it was virtual, there was a lot of work that went into the conference, and I want to thank my amazing team at Lander Analytics along with our producer, Bill Prickett, for making it all come together.
Looking Forward to New York, R|Gov, and Dublin!
If you attended, we hope you had an incredible experience. If you did not attend this year’s conference, we hope to see you at the at the New York R Conference and R|Gov in 2021, and, soon, the first Dublin R Conference.
The sixth annual (and first virtual) “New York” R Conference took place August 5-6 & 12-15. Almost 300 attendees, and 30 speakers, plus a stand-up comedian and a whiskey masterclass leader, gathered remotely to explore, share, and inspire ideas.
Let’s take a look at some of the highlights from the conference:
Andrew Gelman Gave Another 40-Minute Talk (no slides, as always)
Our favorite quotes from Andrew Gelman’s talk, Truly Open Science: From Design and Data Collection to Analysis and Decision Making, which had no slides, as usual:
“Everyone training in statistics becomes a teacher.”
“The most important thing you should take away — put multiple graphs on a page.”
“Honesty and transparency are not enough.”
“Bad science doesn’t make someone a bad person.”
Laura Gabrysiak Shows us We Are Driven By Experience, and not Brand Loyalty…Hope you Folks had a Good Experience!
Laura’s talk on re-Inventing customer engagement with machine learning went through several interesting use cases from her time at Visa. In addition to being a data scientist, she is an active community organizer and the co-founder of R-Ladies Miami.
Adam Obeng Delivered a Talk on Adaptive Experimentation
One of my former students at Columbia University, Adam Obeng, gave a great presentation on his adaptive experimentation. We learned that adaptive experimentation is three things: The name of (1) a family of techniques, (2) Adam’s team at Facebook, and (3) an open source package produced by said team. He went through the applications which are hyper-parameter optimization for ML, experimentation with multiple continuous treatments, and physical experiments or manufacturing.
Dr. Jacqueline Nolis Invited Us to Crash Her Viral Website, Tweet Mashup
Jacqueline asked the crowd to crash her viral website,Tweet Mashup, and gave a great talk on her experience building it back in 2016. Her website that lets you combine the tweets of two different people. After spending a year making it in .NET, when she launched the site it became an immediate sensation. Years later, she was getting more and more frustrated maintaining the F# code and decided to see if I could recreate it in Shiny. Doing so would require having Shiny integrate with the Twitter API in ways that hadn’t been done by anyone before, and pushing the Twitter API beyond normal use cases.
Attendees Participated in Two Virtual Happy Hours Packed with Fun
At the Friday Happy Hour, we had a mathematical standup comedian for the first time in R Conference history. Comic and math major Rachel Lander (no relationship to me!) entertained us with awesome math and stats jokes.
Following the stand up, we had a Whiskey Master Class with our Vibe Sponsor Westland Distillery, and another one on Saturday with Bruichladdich Distillery (hard to pronounce and easy to drink). Attendees and speakers learned and drank together, whether it be their whiskey, matchas, soda or water.
All Proceeds from the A(R)T Auction went to the R Foundation Again
A newer tradition, the A(R)T Auction, took place again! We featured pieces by artists in the R Community, and all proceeds were donated to the R Foundation. The highest-selling piece at auction was Street Cred (2020) by Vivian Peng (Lander Analytics and Los Angeles Mayor’s Office, Innovation Team). The second highest was a piece by Jacqueline Nolis (Brightloom, and Build a Career in Data Science co-author), R Conference speaker, Designed by Allison Horst, artist in residence at RStudio.
The R-Ladies Group Photo Happened, Even Remotely!
As per tradition, we took an R-Ladies group photo, but, for the first time, remotely– as a screenshot! We would like to note that many more R-Ladies were present in the chat, but just chose not to share video.
Jon Harmon, Edna Mwenda, and Jessica Streeter win Raspberri Pis, Bluetooth Headphones, and Tenkeyless Keyboards for Most Active Tweeting During the Conference
This year’s Twitter Contest, in Malorie’s words, was a “ruthless but noble war.” You can see the NYR 2020 Dashboard here. A custom started that DCR 2018 by our Twitter scorekeeper Malorie Hughes (@data_all_day) has returned every year by popular demand, and now she’s stuck with it forever! Congratulations to our winners!
50+ Conference Attendees Participated in Pre-Conference Workshops Before
For the first time ever, workshops took place over the course of several days to promote work-life balance, and to give attendees the chance to take more than one course. We ran the following seven workshops:
We recreated as much of the in-person experience as possible with attendee networking sessions, the speaker walk-on songs and fun facts, abundant prizes and giveaways, the Twitter contest, an art auction, and happy hours. In addition to all of this, we mailed conference programs, hex stickers, and other swag to each attendee (in the U.S.), along with discount codes from our Vibe Sponsors, MatchaBar, Westland Distillery and Bruichladdich Distillery.
Thank you, Lander Analytics Team!
Even though it was virtual, there was a lot of work that went into the conference, and I want to thank my amazing team at Lander Analytics along with our producer, Bill Prickett, for making it all come together.
Looking Forward to D.C. and Dublin If you attended, we hope you had an incredible experience. If you did not, we hope to see you at the virtual DC R Conference in the fall, and at the first Dublin R Conference and the NYR next year!
The costs involved with a health insurance plan can be confusing so I perform an analysis of different options to find which plan is most cost effective
My wife and I recently brought a new R programmer into our family so we had to update our health insurance. Becky is a researcher in neuroscience and psychology at NYU so we decided to choose an NYU insurance plan.
Our son sporting a New York R Conference shirt.
For families there are two main plans: Value and Advantage. The primary differences between the plans are the following:
Item
Explanation
Value Plan Amount
Advantage Plan Amount
Bi-Weekly Premiums
The amount we pay every other week in order to have insurance
$160 ($4,160 annually)
$240 ($6,240 annually)
Deductible
Amount we pay directly to health providers before the insurance starts covering costs
$1,000
$800
Coinsurance
After the deductible is met, we pay this percentage of medical bills
20%
10%
Out-of-Pocket Maximum
This is the most we will have to pay to health providers in a year (premiums do not count toward this max)
$6,000
$5,000
We put them into a tibble for use later.
# use tribble() to make a quick and dirty tibble
parameters <- tibble::tribble(
~Plan, ~Premiums, ~Deductible, ~Coinsurance, ~OOP_Maximum,
'Value', 160*26, 1000, 0.2, 6000,
'Advantage', 240*26, 800, 0.1, 5000
)
Other than these cost differences, there is not any particular benefit of either plan over the other. That means whichever plan is cheaper is the best to choose.
This blog post walks through the steps of evaluating the plans to figure out which to select. Code is included so anyone can repeat, and improve on, the analysis for their given situation.
Cost
In order to figure out which plan to select we need to figure out the all-in cost, which is a function of how much we spend on healthcare in a year (we have to estimate our annual spending) and the aforementioned premiums, deductible, coinsurance and out-of-pocket maximum.
#' @title cost
#' @description Given healthcare spend and other parameters, calculate the actual cost to the user
#' @details Uses the formula above to caluclate total costs given a certain level of spending. This is the premiums plus either the out-of-pocket maximum, the actual spend level if the deductible has not been met, or the amount of the deductible plus the coinsurance for spend above the deductible but below the out-of-pocket maximum.
#' @author Jared P. Lander
#' @param spend A given amount of healthcare spending as a vector for multiple amounts
#' @param premiums The annual premiums for a given plan
#' @param deductible The deductible for a given plan
#' @param coinsurance The coinsurance percentage for spend beyond the deductible but below the out-of-pocket maximum
#' @param oop_maximum The maximum amount of money (not including premiums) that the insured will pay under a given plan
#' @return The total cost to the insured
#' @examples
#' cost(3000, 4160, 1000, .20, 6000)
#' cost(3000, 6240, 800, .10, 5000)
#'
cost <- function(spend, premiums, deductible, coinsurance, oop_maximum)
{
# spend is vectorized so we use pmin to get the min between oop_maximum and (deductible + coinsurance*(spend - deductible)) for each value of spend provided
pmin(
# we can never pay more than oop_maximum so that is one side
oop_maximum,
# if we are under oop_maximum for a given amount of spend,
# this is the cost
pmin(spend, deductible) + coinsurance*pmax(spend - deductible, 0)
) +
# we add the premiums since that factors into our cost
premiums
}
With this function we can see if one plan is always, or mostly, cheaper than the other plan and that’s the one we would choose.
R Packages
For the rest of the code we need these R packages.
We call our cost function on each amount of spend for the Value and Advantage plans.
spending <- spending %>%
# use our function to calcuate the cost for the value plan
mutate(Value=cost(
spend=Spend,
premiums=parameters$Premiums[1],
deductible=parameters$Deductible[1],
coinsurance=parameters$Coinsurance[1],
oop_maximum=parameters$OOP_Maximum[1]
)
) %>%
# use our function to calcuate the cost for the Advantage plan
mutate(Advantage=cost(
spend=Spend,
premiums=parameters$Premiums[2],
deductible=parameters$Deductible[2],
coinsurance=parameters$Coinsurance[2],
oop_maximum=parameters$OOP_Maximum[2]
)
) %>%
# compute the difference in costs for each plan
mutate(Difference=Advantage-Value) %>%
# the winner for a given amount of spend is the cheaper plan
mutate(Winner=if_else(Advantage < Value, 'Advantage', 'Value'))
The results are in the following table, showing every other row to save space. The Spend column is a theoretical amount of spending with a red bar giving a visual sense for the increasing amounts. The Value and Advantage columns are the corresponding overall costs of the plans for the given amount of Spend. The Difference column is the result of Advantage – Value where positive numbers in blue mean that the Value plan is cheaper while negative numbers in red mean that the Advantage plan is cheaper. This is further indicated in the Winner column which has the corresponding colors.
Spend
Value
Advantage
Difference
Winner
$2,000
$5,360
$7,160
1800
Value
$4,000
$5,760
$7,360
1600
Value
$6,000
$6,160
$7,560
1400
Value
$8,000
$6,560
$7,760
1200
Value
$10,000
$6,960
$7,960
1000
Value
$12,000
$7,360
$8,160
800
Value
$14,000
$7,760
$8,360
600
Value
$16,000
$8,160
$8,560
400
Value
$18,000
$8,560
$8,760
200
Value
$20,000
$8,960
$8,960
0
Value
$22,000
$9,360
$9,160
-200
Advantage
$24,000
$9,760
$9,360
-400
Advantage
$26,000
$10,160
$9,560
-600
Advantage
$28,000
$10,160
$9,760
-400
Advantage
$30,000
$10,160
$9,960
-200
Advantage
$32,000
$10,160
$10,160
0
Value
$34,000
$10,160
$10,360
200
Value
$36,000
$10,160
$10,560
400
Value
$38,000
$10,160
$10,760
600
Value
$40,000
$10,160
$10,960
800
Value
$42,000
$10,160
$11,160
1000
Value
$44,000
$10,160
$11,240
1080
Value
$46,000
$10,160
$11,240
1080
Value
$48,000
$10,160
$11,240
1080
Value
$50,000
$10,160
$11,240
1080
Value
$52,000
$10,160
$11,240
1080
Value
$54,000
$10,160
$11,240
1080
Value
$56,000
$10,160
$11,240
1080
Value
$58,000
$10,160
$11,240
1080
Value
$60,000
$10,160
$11,240
1080
Value
$62,000
$10,160
$11,240
1080
Value
$64,000
$10,160
$11,240
1080
Value
$66,000
$10,160
$11,240
1080
Value
$68,000
$10,160
$11,240
1080
Value
$70,000
$10,160
$11,240
1080
Value
Of course, plotting often makes it easier to see what is happening.
spending %>%
select(Spend, Value, Advantage) %>%
# put the plot in longer format so ggplot can set the colors
gather(key=Plan, value=Cost, -Spend) %>%
ggplot(aes(x=Spend, y=Cost, color=Plan)) +
geom_line(size=1) +
scale_x_continuous(labels=scales::dollar) +
scale_y_continuous(labels=scales::dollar) +
scale_color_brewer(type='qual', palette='Set1') +
labs(x='Healthcare Spending', y='Out-of-Pocket Costs') +
theme(
legend.position='top',
axis.title=element_text(face='bold')
)
Plot of out-of-pocket costs as a function of actual healthcare spending. Lower is better.
It looks like there is only a small window where the Advantage plan is cheaper than the Value plan. This will be more obvious if we draw a plot of the difference in cost.
spending %>%
ggplot(aes(x=Spend, y=Difference, color=Winner, group=1)) +
geom_hline(yintercept=0, linetype=2, color='grey50') +
geom_line(size=1) +
scale_x_continuous(labels=scales::dollar) +
scale_y_continuous(labels=scales::dollar) +
labs(
x='Healthcare Spending',
y='Difference in Out-of-Pocket Costs Between the Two Plans'
) +
scale_color_brewer(type='qual', palette='Set1') +
theme(
legend.position='top',
axis.title=element_text(face='bold')
)
Plot of the difference in overall cost between the Value and Advantage plans. A difference greater than zero means the Value plan is cheaper and a difference below zero means the Advantage plan is cheaper.
To calculate the exact cutoff points where one plan becomes cheaper than the other plan we have to solve for where the two curves intersect. Due to the out-of-pocket maximums the curves are non-linear so we need to consider four cases.
The spending exceeds the point of maximum out-of-pocket spend for both plans
The spending does not exceed the point of maximum out-of-pocket spend for either plan
The spending exceeds the point of maximum out-of-pocket spend for the Value plan but not the Advantage plan
The spending exceeds the point of maximum out-of-pocket spend for the Advantage plan but not the Value plan
When the spending exceeds the point of maximum out-of-pocket spend for both plans the curves are parallel so there will be no cross over point.
When the spending does not exceed the point of maximum out-of-pocket spend for either plan we set the cost calculations (not including the out-of-pocket maximum) for each plan equal to each other and solve for the amount of spend that creates the equality.
To keep the equations smaller we use variables such as \(d_v\) for the Value plan deductible, \(c_a\) for the Advantage plan coinsurance and \(oop_v\) for the out-of-pocket maximum for the Value plan.
When the spending exceeds the point of maximum out-of-pocket spend for the Value plan but not the Advantage plan, we set the out-of-pocket maximum plus premiums for the Value plan equal to the cost calculation of the Advantage plan.
When the spending exceeds the point of maximum out-of-pocket spend for the Advantage plan but not the Value plan, the solution is just the opposite of the previous equation.
#' @title calculate_crossover_points
#' @description Given healthcare parameters for two plans, calculate when one plan becomes more expensive than the other.
#' @details Calculates the potential crossover points for different scenarios and returns the ones that are true crossovers.
#' @author Jared P. Lander
#' @param premiums_1 The annual premiums for plan 1
#' @param deductible_1 The deductible plan 1
#' @param coinsurance_1 The coinsurance percentage for spend beyond the deductible for plan 1
#' @param oop_maximum_1 The maximum amount of money (not including premiums) that the insured will pay under plan 1
#' @param premiums_2 The annual premiums for plan 2
#' @param deductible_2 The deductible plan 2
#' @param coinsurance_2 The coinsurance percentage for spend beyond the deductible for plan 2
#' @param oop_maximum_2 The maximum amount of money (not including premiums) that the insured will pay under plan 2
#' @return The amount of spend at which point one plan becomes more expensive than the other
#' @examples
#' calculate_crossover_points(
#' 160, 1000, 0.2, 6000,
#' 240, 800, 0.1, 5000
#' )
#'
calculate_crossover_points <- function(
premiums_1, deductible_1, coinsurance_1, oop_maximum_1,
premiums_2, deductible_2, coinsurance_2, oop_maximum_2
)
{
# calculate the crossover before either has maxed out
neither_maxed_out <- (premiums_2 - premiums_1 +
deductible_2*(1 - coinsurance_2) -
deductible_1*(1 - coinsurance_1)) /
(coinsurance_1 - coinsurance_2)
# calculate the crossover when one plan has maxed out but the other has not
one_maxed_out <- (oop_maximum_1 +
premiums_1 - premiums_2 +
coinsurance_2*deductible_2 -
deductible_2) /
coinsurance_2
# calculate the crossover for the reverse
other_maxed_out <- (oop_maximum_2 +
premiums_2 - premiums_1 +
coinsurance_1*deductible_1 -
deductible_1) /
coinsurance_1
# these are all possible points where the curves cross
all_roots <- c(neither_maxed_out, one_maxed_out, other_maxed_out)
# now calculate the difference between the two plans to ensure that these are true crossover points
all_differences <- cost(all_roots, premiums_1, deductible_1, coinsurance_1, oop_maximum_1) -
cost(all_roots, premiums_2, deductible_2, coinsurance_2, oop_maximum_2)
# only when the difference between plans is 0 are the curves truly crossing
all_roots[all_differences == 0]
}
We then call the function with the parameters for both plans we are considering.
We see that the Advantage plan is only cheaper than the Value plan when spending between $20,000 and $32,000.
The next question is will our healthcare spending fall in that narrow band between $20,000 and $32,000 where the Advantage plan is the cheaper option?
Probability of Spending
This part gets tricky. I’d like to figure out the probability of spending between $20,000 and $32,000. Unfortunately, it is not easy to find healthcare spending data due to the opaque healthcare system. So I am going to make a number of assumptions. This will likely violate a few principles, but it is better than nothing.
Assumptions and calculations:
Healthcare spending follows a log-normal distribution
We will work with New York State data which is possibly different than New York City data
We know the mean for New York spending in 2014
We will use the accompanying annual growth rate to estimate mean spending in 2019
We have the national standard deviation for spending in 2009
In order to figure out the standard deviation for New York, we calculate how different the New York mean is from the national mean as a multiple, then multiply the national standard deviation by that number to approximate the New York standard deviation in 2009
We use the growth rate from before to estimate the New York standard deviation in 2019
We then take just New York spending for 2014 and multiply it by the corresponding growth rate.
ny_spend <- health_spend %>%
# get just New York
filter(State_Name == 'New York') %>%
# this row holds overall spending information
filter(Item == 'Personal Health Care ($)') %>%
# we only need a few columns
select(Y2014, Growth=Average_Annual_Percent_Growth) %>%
# we have to calculate the spending for 2019 by accounting for growth
# after converting it to a percentage
mutate(Y2019=Y2014*(1 + (Growth/100))^5)
ny_spend
Y2014
Growth
Y2019
9778
5
12479.48
The standard deviation is trickier. The best I can find was the standard deviation on the national level in 2009. In 2013 the Centers for Medicare & Medicaid Services wrote in Volume 3, Number 4 of Medicare & Medicaid Research Review an article titled Modeling Per Capita State Health Expenditure Variation: State-Level Characteristics Matter. Exhibit 2 shows that the standard deviation of healthcare spending was $1,241 for the entire country in 2009. We need to estimate the New York standard deviation from this and then account for growth into 2019.
Next, we figure out the difference between the New York State spending mean and the national mean as a multiple.
We see that the New York average is 1.4187464 times the national average. So we multiply the national standard deviation from 2009 by this amount to estimate the New York State standard deviation and assume the same annual growth rate as the mean. Recall, we can multiply the standard deviation by a constant.
My original assumption was that spending would follow a normal distribution, but New York’s resident agricultural economist, JD Long, suggested that the spending distribution would have a floor at zero (a person cannot spend a negative amount) and a long right tail (there will be many people with lower levels of spending and a few people with very high levels of spending), so a log-normal distribution seems more appropriate.
So we only have a 2.35% probability of our spending falling in that band where the Advantage plan is more cost effective. Meaning we have a 97.65% probability that the Value plan will cost less over the course of a year.
We can also calculate the expected cost under each plan. We do this by first calculating the probability of spending each (thousand) dollar amount (since the log-normal is a continuous distribution this is an estimated probability). We multiply each of those probabilities against their corresponding dollar amounts. Since the distribution is log-normal we need to exponentiate the resulting number. The data are on the thousands scale, so we multiply by 1000 to put it back on the dollar scale. Mathematically it looks like this.
The following code calculates the expected cost for each plan.
spending %>%
# calculate the point-wise estimated probabilities of the healthcare spending
# based on a log-normal distribution with the appropriate mean and standard deviation
mutate(
SpendProbability=dlnorm(
Spend,
meanlog=log(ny_spend$Y2019),
sdlog=log(ny_spend$SD2019)
)
) %>%
# compute the expected cost for each plan
# and the difference between them
summarize(
ValueExpectedCost=sum(Value*SpendProbability),
AdvantageExpectedCost=sum(Advantage*SpendProbability),
ExpectedDifference=sum(Difference*SpendProbability)
) %>%
# exponentiate the numbers so they are on the original scale
mutate_each(funs=exp) %>%
# the spending data is in increments of 1000
# so multiply by 1000 to get them on the dollar scale
mutate_each(funs=~ .x * 1000)
ValueExpectedCost
AdvantageExpectedCost
ExpectedDifference
5422.768
7179.485
1323.952
This shows that overall the Value plan is cheaper by about $1,324 dollars on average.
Conclusion
We see that there is a very small window of healthcare spending where the Advantage plan would be cheaper, and at most it would be about $600 cheaper than the Value plan. Further, the probability of falling in that small window of savings is just 2.35%.
So unless our spending will be between $20,000 and $32,000, which it likely will not be, it is a better idea to choose the Value plan.
Since the Value plan is so likely to be cheaper than the Advantage plan I wondered who would pick the Advantage plan. Economist Jon Hersh invokes behavioral economics to explain why people may select the Advantage plan. Some parts of the Advantage plan are lower than the Value plan, such as the deductible, coinsurance and out-of-pocket maximum. People see that under certain circumstances the Advantage plan would save them money and are enticed by that, not realizing how unlikely that would be. So they are hedging against a low probability situation. (A consideration I have not accounted for is family size. The number of members in a family can have a big impact on the overall spend and whether or not it falls into the narrow band where the Advantage plan is cheaper.)
In the end, the Value plan is very likely going to be cheaper than the Advantage plan.
Try it at Home
I created a Shiny app to allow users to plug in the numbers for their own plans. It is rudimentary, but it gives a sense for the relative costs of different plans.
Data scientists and R enthusiasts gathered for the 5th annual New York R Conference held on May 9th-11th. In front of a crowd of more than 300 attendees, 24 speakers gave presentations on topics ranging from deep learning and building packages in R to football and hockey analytics.
This year marked the ten-year anniversary of the New York Open Statistical Programming Meetup. It has been incredible to see the growth of meetup over the years. We now have over 10,000 members around the world!
Let’s take a look at some of the highlights from the conference:
Jonah Gabry Kicked Off “R” Week at the New York Open Statistical Programming Meetup with a Talk on Using Stan in R
Jonah Gabry kicking off R Week with a talk about the Stan ecosystem
Jonah Gabry from the Stan Development Team kicked off “R” week with a talk on making Bayes easier in the R ecosystem. Jonah went over the packages (rstanarm, rstantools, bayesplot and loo) which emulate other R model-fitting functions, unify function naming across Stan-based R packages, and develop plotting functions using ggplot objects.
50 Conference Attendees Participated in Pre-Conference Workshops on Thursday before the Conference
People learning about machine learning from Max Kuhn during the pre-conference workshops
On the Thursday before the two-day conference, more than 50 conference attendees arrived at Work-Bench a day early for a full day of workshops. This was the first year of the R Conference Workshop Series. Max Kuhn, Dan Chen, Elizabeth Sweeney and Kaz Sakamoto each led a workshop which covered the following topics:
Machine Learning with Caret (Max Kuhn)
Git for Data Science (Dan Chen)
Introduction to Survival Analysis (Elizabeth Sweeney)
Geospatial Statistics and Mapping in R (Kaz Sakamoto)
The Growth of R-Ladies Summed Up in Three Pictures…
We are so excited to see the growth of the R-Ladies community and we appreciate their support for the NY R Conference over the years. Congratulations ladies!
Dr. Andrew Gelman Delivers Keynote Speech on the Fallacy of P-Values and Thinking like a Statistician—All Without Slides
Andrew Gelman wowing the crowd as usual
There wasn’t a soul in the crowd who wasn’t hanging on every word from Columbia professor Dr. Andrew Gelman. The only speaker with a 40-minute time slot, and the only speaker to not use slides, Dr. Gelman talked about life as a statistician, warned of the perils of p-values and stressed the importance of simulation—before data collection—to improve our understanding of possible real-life scenarios. “Only through simulating fake data, can you really have statistical confidence about whatever performance metric you’re aiming for,” Gelman noted.
While we try not to pick a favorite speaker, Dr. Gelman runs away with that title every time he comes to speak at the New York R Conference.
Jacqueline and Heather Nolis Taught Us to Not to Be Afraid of Deep Learning and Model Deployment in Production
Jacqueline Nolis showing how fun and easy deep learning can be
The final talk on day one was perhaps the most entertaining and insightful from the weekend. Jacqueline Nolis taught us how developing a deep learning model is easier than we thought and how humor can help us understand a complex idea in a simple form. Our top five favorite neural network-generate pet names: Dia, Spok, Jori, Lule, and Timuse!
On Saturday morning, Heather Nolis showed us how we can deploy the model into production. Heather walked through the steps involved in preparing an R model for production using containers (Docker) and container orchestration (Kubernetes) to share models throughout an organization or for the public. How can we put a model into production without your laptop running 24/7? By running the code safely on a server in the cloud!
Emily Robinson and Honey Berk Win Headphones for Most Tweets During the Conference
Emily Robinson winning the tweeting grand prize
If you’re not following Emily Robinson (@robinson_es) and Honey Berk (@honeyberk), you’re missing out! Emily and Honey led all conference attendees in Twitter mentions according to our Twitter scorekeeper Malorie Hughes (@data_all_day). Because of Emily and Honey’s presence on Twitter, those who were unable to attend the conference were able to follow along with all of our incredible speakers throughout the two-day event.
Tweet stats dashboard created by Malorie Hughes
Jared Lander Debuts New-Born R Package Hex Sticker T-Shirts: Congratulations to Jared and Rebecca on the Birth of their Son, Lev
Baby themed hex sticker shirts designed by Vivian Peng
During my talk I debuted a custom R package hex sticker t-shirt with my wife Rebecca and son Lev. We R a very nerdy family.
Looking Forward to 2020
If you attended the 2019 New York R Conference, we hope you had an incredible experience. If you did not attend the conference, we hope to see you next year!
The crowd at an early meetup fit in a small room at Columbia with room to spare.
I started attending regularly and pretty soon Drew decided to serve pizza which later led to years of pizza data. He also designed a logo for the NYC Data Mafia, which made for a great t-shirt that we still sell. One time, a number of us were talking and realized we were all answering each other’s questions on StackOverflow. Our community was growing both in person and online. I fell in love with the group because it was a great place to learn and hang out with smart, welcoming people.
During the first two years our hosts included NYU, Columbia, AOL and a handful of others. At this time there were about 1,800 members with Drew as the sole organizer who was ready to focus on other parts of his life, so he asked Wes McKinney and me to take over as organizers. This was after Drew renamed the group the Open Statistical Programming Meetup as to include other open source languages like Python, Julia, Go and SQL. I was incredibly thrilled to organize this group which meant so much to me.
The Meetup’s most popular night featured Hadley Wickham and coincided with my fifth date with Rebecca Martin, my future wife.
That night was also my fifth date with Rebecca Martin. We originally met during Michael Kane’s talk about PubMed then reconnected about a year later. We went on to get married and have a kid together. The New York Times used the nerdiest closing line ever for our wedding announcement: “The couple met in New York in May 2014 at a meet-up about statistical programming organized by the groom.”
Rebecca and I recently added a new R programmer to our family and celebrated with baby-themed hex sticker shirts.
The Meetup has grown not only in numbers but in reach as well. There’s a website hosting all of the presentations, we livestream the Meetups and people from all over the world chat in our Slack team. Our live events include an ongoingworkshopseries and conferences in New York and Washington DC, which just hit their fifth anniversary, all for building and supporting the community and open source software.
The crowd at the New York R Conference.
These past ten years have been a collection of amazing experiences for me where I got to learn from some of the world’s best experts and develop lasting relationships with great people. This community means so much to me and I very much look forward to its continued growth over the next decade.
After four sold-out years in New York City, the R Conference made its debut in Washington DC to a sold-out crowd of data scientists at the Ronald Reagan Building on November 8th & 9th. Our speakers shared presentations on a variety of R-related topics.
R Superstars Mara Averick, Roger Peng and Emily Robinson
A hallmark of our R conferences is that the speakers hang out with all the attendees and these three were crowd favorites.
Michael Powell Brings R to the aRmy
Major Michael Powell describes how R has brought efficiency to the Army Intelligence and Security Command by getting analysts out of Excel and into the Tidyverse. “Let me turn those 8 hours into 8 seconds for you,” says Powell.
Max Kuhn Explains the Applications of Equivocals to Apply Levels of Certainty to Predictions
After autographing his book, Applied Predictive Modeling, for a lucky attendee, Max Kuhn explains how Equivocals can be applied to individual predictions in order to avoid reporting predictions when there is significant uncertainty.
NYR and DCR Speaker Emily Robinson Getting an NYR Hoodie for her Awesome Tweeting
Emily Robinson tweeted the most at the 2018 NYR conference, winning her a WASD mechanical keyboard and at DCR she came in second so we gave her a limited edition NYR hoodie.
Max Richman Shows How SQL and R can Co-Exist
Max Richman, wearing the same shirt he wore when he spoke at the first NYR, shows parallels between dplyr and SQL.
Michael Garris Tells the Story of the MNIST Dataset
Michael Garris was a member of the team that built the original MNIST dataset, which set the standard for handwriting image classification in the early 1990s. This talk may have been the first time the origin story was ever told.
R Stats Luminary Roger Peng Explains Relationship Between Air Pollution and Public Health
Roger Peng shows us how air pollution levels has fallen over the past 50 years resulting in dramatic improvements in air quality and health (with help from R).
Kelly O’Briant Combining R with Serverless Computing
Kelly O’Briant demonstrates how to easily deploy R projects on Google Compute Engine and promoted the new #radmins hashtag.
Hot Dog vs Not Hot Dog by David Smith (Inspired by Jian-Yang from HBO’s Silicon Valley)
On the first day I challenged the audience to analyze the tweets from the conference and Malorie Hughes, a data scientist with NPR, designed a Twitter analytics dashboard to track the attendee with the most tweets with the hashtag #rstatsdc. Seth Wenchel won a WASD keyboard for the best tweeting. And we presented Malorie wit a DCR speaker mug.
Strong Showing from the #RLadies!
The #rladies group is growing year after year and it is great seeing them in force at NYR and DCR!
Excited to announce that i am waiting in a LINE for the WOMEN’s restroom at a tech conference! Thanks @RLadiesNYC, @RLadiesGlobal, and @nyhackr for the opportunity, wouldn’t be here without your support
Particularly gratifying for me was seeing so many of my students speak. Eurry Kim, Dan Chen and Alex Boghosian all gave excellent talks.
Some highlights that stuck out to me are:
Emily Robinson Shows There is More to the Tidyverse than Hadley
Emily Robinson, otherwise known as ERob, gave an excellent talk showing how the Tidyverse is so much more than just Hadley and that there are many people inspired by him to contribute in the Tidy way.
Sean Taylor Forecasted the Future with Prophet
Sean Taylor, former New Yorker and unrepentant Eagles fan, demonstrate his powerful R and Python, package Prophet, for forecasting time series data. Facebook open sourced his work so we could all benefit.
Hadley Wickham showed us how to get into the internals of R and figure out how to examine objects from a memory perspective.
Jennifer Hill Demonstrated Awesome Machine Learning Techniques for Causal Inference
Following her sold-out meetup appearance in March, Jennifer continued to push the boundaries of causal inference.
I Made the Authors of Caret and scitkit-learn Show That R and Python Can Get Along
While both Andreas and Max gave great individual talks, I made them pose for this peace-making photo.
David Robinson Got the Upper Hand in a Sibling Twitter Duel
Given only about 30 minutes notice, David put together an entire slideshow on how to livetweet and how to compete with your sibling.
In the End Emily Robinson Beat Her Brother For Best Tweeting
Despite David’s headstart Emily was the best tweeter (as calculated by Max Kuhn and Mara Averick) so she won the WASD Code mechanical keyboard with MX Cherry Clear switches.
Silent Auction of Data Paintings
Thomas Levine made paintings of famous datasets that we auctioned off with the proceeds supporting the R Foundation and the Free Software Foundation. The Robinson family very graciously chipped in and bought the painting of the Pizza Poll data for me! I’m still floored by this and in love with the painting.
In my last post I discussed using coefplot on glmnet models and in particular discussed a brand new function, coefpath, that uses dygraphs to make an interactive visualization of the coefficient path.
Another new capability for version 1.2.5 of coefplot is the ability to show coefficient plots from xgboost models. Beyond fitting boosted trees and boosted forests, xgboost can also fit a boosted Elastic Net. This makes it a nice alternative to glmnet even though it might not have some of the same user niceties.
To illustrate, we use the same data as our previous post.
First, we load the packages we need and note the version numbers.
# list the packages that we load
# alphabetically for reproducibility
packages <- c('caret', 'coefplot', 'DT', 'xgboost')
# call library on each package
purrr::walk(packages, library, character.only=TRUE)
# some packages we will reference without actually loading
# they are listed here for complete documentation
packagesColon <- c('dplyr', 'dygraphs', 'knitr', 'magrittr', 'purrr', 'tibble', 'useful')
The data are about New York City land value and have many columns. A sample of the data follows. There’s an odd bug where you have to click on one of the column names for the data to display the actual data.
While glmnet automatically standardizes the input data, xgboost does not, so we calculate that manually. We use preprocess from caret to compute the mean and standard deviation of each numeric column then use these later.
Just like with glmnet, we need to convert our tbl into an X (predictor) matrix and a Y (response) vector. Since we don’t have to worry about multicolinearity with xgboost we do not want to drop the baselines of factors. We also take advantage of sparse matrices since that reduces memory usage and compute, even though this dataset is not that large.
In order to build the matrix and vector we need a formula. This could be built programmatically, but we can just build it ourselves. The response is TotalValue.
manX <- useful::build.x(valueFormula, data=predict(preProc, manTrain),
# do not drop the baselines of factors
contrasts=FALSE,
# use a sparse matrix
sparse=TRUE)
manY <- useful::build.y(valueFormula, data=manTrain)
manX_val <- useful::build.x(valueFormula, data=predict(preProc, manVal),
# do not drop the baselines of factors
contrasts=FALSE,
# use a sparse matrix
sparse=TRUE)
manY_val <- useful::build.y(valueFormula, data=manVal)
There are two functions we can use to fit xgboost models, the eponymous xgboost and xgb.train. When using xgb.train we first store our X and Y matrices in a special xgb.DMatrix object. This is not a necessary step, but makes things a bit cleaner.
We are now ready to fit a model. All we need to do to fit a linear model instead of a tree is set booster='gblinear' and objective='reg:linear'.
mod1 <- xgb.train(
# the X and Y training data
data=manXG,
# use a linear model
booster='gblinear',
# minimize the a regression criterion
objective='reg:linear',
# use MAE as a measure of quality
eval_metric=c('mae'),
# boost for up to 500 rounds
nrounds=500,
# print out the eval_metric for both the train and validation data
watchlist=list(train=manXG, validate=manXG_val),
# print eval_metric every 10 rounds
print_every_n=10,
# if the validate eval_metric hasn't improved by this many rounds, stop early
early_stopping_rounds=25,
# penalty terms for the L2 portion of the Elastic Net
lambda=10, lambda_bias=10,
# penalty term for the L1 portion of the Elastic Net
alpha=900000000,
# randomly sample rows
subsample=0.8,
# randomly sample columns
col_subsample=0.7,
# set the learning rate for gradient descent
eta=0.1
)
## [1] train-mae:1190145.875000 validate-mae:1433464.750000
## Multiple eval metrics are present. Will use validate_mae for early stopping.
## Will train until validate_mae hasn't improved in 25 rounds.
##
## [11] train-mae:938069.937500 validate-mae:1257632.000000
## [21] train-mae:932016.625000 validate-mae:1113554.625000
## [31] train-mae:931483.500000 validate-mae:1062618.250000
## [41] train-mae:931146.750000 validate-mae:1054833.625000
## [51] train-mae:930707.312500 validate-mae:1062881.375000
## [61] train-mae:930137.375000 validate-mae:1077038.875000
## Stopping. Best iteration:
## [41] train-mae:931146.750000 validate-mae:1054833.625000
The best fit was arrived at after 41 rounds. We can see how the model did on the train and validate sets using dygraphs.
dygraphs::dygraph(mod1$evaluation_log)
We can now plot the coefficients using coefplot. Since xgboost does not save column names, we specify it with feature_names=colnames(manX). Unlike with glmnet models, there is only one penalty so we do not need to specify a specific penalty to plot.
I’m a big fan of the Elastic Net for variable selection and shrinkage and have given numeroustalks about it and its implementation, glmnet. In fact, I will even have a DataCamp course about glmnet coming out soon.
As a side note, I used to pronounce it g-l-m-net but after having lunch with one of its creators, Trevor Hastie, I learn it is pronounced glimnet.
coefplot has long supported glmnet via a standard coefficient plot but I recently added some functionality, so let’s take a look. As we go through this, please pardon the htmlwidgets in iframes.
First, we load packages. I am now fond of using the following syntax for loading the packages we will be using.
# list the packages that we load
# alphabetically for reproducibility
packages <- c('coefplot', 'DT', 'glmnet')
# call library on each package
purrr::walk(packages, library, character.only=TRUE)
# some packages we will reference without actually loading
# they are listed here for complete documentation
packagesColon <- c('dplyr', 'knitr', 'magrittr', 'purrr', 'tibble', 'useful')
In order to use glmnet we need to convert our tbl into an X (predictor) matrix and a Y (response) vector. Since we don’t have to worry about multicolinearity with glmnet we do not want to drop the baselines of factors. We also take advantage of sparse matrices since that reduces memory usage and compute, even though this dataset is not that large.
In order to build the matrix ad vector we need a formula. This could be built programmatically, but we can just build it ourselves. The response is TotalValue.
Notice the - 1 means do not include an intercept since glmnet will do that for us.
manX <- useful::build.x(valueFormula, data=manTrain,
# do not drop the baselines of factors
contrasts=FALSE,
# use a sparse matrix
sparse=TRUE)
manY <- useful::build.y(valueFormula, data=manTrain)
We are now ready to fit a model.
mod1 <- glmnet(x=manX, y=manY, family='gaussian')
We can view a coefficient plot for a given value of lambda like this.
coefplot(mod1, lambda=330500, sort='magnitude')
A common plot that is built into the glmnet package it the coefficient path.
plot(mod1, xvar='lambda', label=TRUE)
This plot shows the path the coefficients take as lambda increases. They greater lambda is, the more the coefficients get shrunk toward zero. The problem is, it is hard to disambiguate the lines and the labels are not informative.
Fortunately, coefplot has a new function in Version 1.2.5 called coefpath for making this into an interactive plot using dygraphs.
coefpath(mod1)
While still busy this function provides so much more functionality. We can hover over lines, zoom in then pan around.
These functions also work with any value for alpha and for cross-validated models fit with cv.glmnet.
We plot coefficient plots for both optimal lambdas.
# coefplot for the 1se error lambda
coefplot(mod2, lambda='lambda.1se', sort='magnitude')
# coefplot for the min error lambda
coefplot(mod2, lambda='lambda.min', sort='magnitude')
The coefficient path is the same as before though the optimal lambdas are noted as dashed vertical lines.
coefpath(mod2)
While coefplot has long been able to plot coefficients from glmnet models, the new coefpath function goes a long way in helping visualize the paths the coefficients take as lambda changes.