to your HTML Add class="sortable" to any table you'd like to make sortable Click on the headers to sort Thanks to many, many people for contributions and suggestions. Licenced as X11: http://www.kryogenix.org/code/browser/licence.html This basically means: do what you want with it. */ var stIsIE = /*@cc_on!@*/false; sorttable = { init: function() { // quit if this function has already been called if (arguments.callee.done) return; // flag this function so we don't do the same thing twice arguments.callee.done = true; // kill the timer if (_timer) clearInterval(_timer); if (!document.createElement || !document.getElementsByTagName) return; sorttable.DATE_RE = /^(\d\d?)[\/\.-](\d\d?)[\/\.-]((\d\d)?\d\d)$/; forEach(document.getElementsByTagName('table'), function(table) { if (table.className.search(/\bsortable\b/) != -1) { sorttable.makeSortable(table); } }); }, makeSortable: function(table) { if (table.getElementsByTagName('thead').length == 0) { // table doesn't have a tHead. Since it should have, create one and // put the first table row in it. the = document.createElement('thead'); the.appendChild(table.rows[0]); table.insertBefore(the,table.firstChild); } // Safari doesn't support table.tHead, sigh if (table.tHead == null) table.tHead = table.getElementsByTagName('thead')[0]; if (table.tHead.rows.length != 1) return; // can't cope with two header rows // Sorttable v1 put rows with a class of "sortbottom" at the bottom (as // "total" rows, for example). This is B&R, since what you're supposed // to do is put them in a tfoot. So, if there are sortbottom rows, // for backwards compatibility, move them to tfoot (creating it if needed). sortbottomrows = []; for (var i=0; i
You've almost certainly seen marketing for medications that combine two different kinds of medicine into one tablet or pill. A common example is over-the-counter cold medication that combines a fever reducer with a decongestant, which can be argued makes sense. If you have both a fever and a stuffy nose, you can see the logic. It's convenient and it may be cheaper to buy a single product that combines two medications than buying the two medications separately.
But how often does that make sense? For example, it's pretty easy to find over-the-counter medications like Advil (ibuprofen) and Tylenol (acetaminophin) at very low prices. But GlaxoSmithKline (GSK) is selling a product that combines both these medications into a single pill under it's Advil brand name. We recently found it at Walmart, where you can get 144 coated caplets made with 125 mg of ibuprofen and 250 mg of acetominophen each for $17.98, which is about $0.125 per pill.
What would we need to do to duplicate that dosage with separate ibuprofen and acetaminophen pills to find that cost? We found we couldn't find the specific amount of each medication in a single pill, but what if we had a precision pill cutter? What would it take to divide up the pills to get these specific dosage amounts?
Starting with the 100 coated caplets with 200mg of Advil-branded ibuprofen we can get at Walmart for $9.98, we could divvy up the caplets and remake them to have 125 mg of ibuprofen each and have the equivalent of 160 pills that would cost a little under $0.062 each.
We can do something similar with the containers of regular strength Tylenol with 100 tablets of 325 mg acetaminophen that we can also buy at Walmart for $6.97. Pulling out our precision pill cutter again to remake these tablets into pills with a dose of 200 mg acetaminophen each, we would have 162-and-a-half pills, each costing a little under $0.043.
The cost for our equivalent pills of 125 mg of ibuprofen and 200 mg of acetaminophen works out be about $0.105 when buying each medication separately. That's 16% lower than the $0.125 per pill cost of the "dual action" pills that GSK markets. This is also using the brand-name version of these medications. We could almost certainly get the cost even lower by switching to generic sources. But it also means that at a minimum, GSK is pocketing an extra two cents a pill according this math!
Let's keep in mind there's nothing special about the dual action pill that either makes it work better or easier to take than the single-action pills. That point is driven home by Dr. Josh Bloom of the American Council on Science and Health, who gives a bit of history and describes what studies say about how effective the medication is:
In 2020, Glaxo-SmithKline received FDA approval to sell Advil Dual Action, a combination of ibuprofen and acetaminophen in one pill containing 125 mg of ibuprofen (1) and 250 mg of acetaminophen. The directions tell you to take two caplets every eight hours (no more than six per day), making the combined daily dose 750 mg of ibuprofen and 1,500 mg of acetaminophen. In a press release, GSK writes: [my emphasis]
The submission in support of today’s approval of Advil Dual Action was based on data from seven clinical studies, three of which were pivotal efficacy and safety studies in pain relief. The data supports a pain relief indication and demonstrates that the fixed-dose combination achieves superior efficacy compared to the individual monocomponents of ibuprofen (250mg) and acetaminophen (500mg) alone (as evidenced by appreciable improvements in acute pain symptoms across multiple pre-specified endpoints).
Sleaze alert!
GSK probably doesn't want you to read or understand the paragraph above. Why? Because the company isn't comparing the efficacy of Advil Dual Action to a combination of ibuprofen and acetaminophen pills taken together. The key word here is "alone." When taken together, there is good evidence that the two drugs work better than either alone.
Ibuprofen plus paracetamol combinations provided better analgesia than either drug alone (at the same dose), with a smaller chance of needing additional analgesia over about eight hours, and with a smaller chance of experiencing an adverse event.
Derry, et. al, Cochrane Library 24 June 20 https://doi.org/10.1002/14651858.CD010210.pub2
However, the company does not compare the combination of the two drugs to its product; it just compares its product to both alone. Will the same doses of the two separate pills together work as well? Bet the house on it.
A two-cent a pill savings may not sound like much. For you, every time you buy 50 of the dual action pills instead of the single-action versions, it's an extra dollar out of your pocket without much of any additional benefit. Multiply you by millions of others like you who might buy these dual action pills, and you'll find its very big money for GSK.
Unless the convenience is worth the extra price you're paying, odds are this is a case where two pills are better than one.
Image credit: Microsoft Copilot Designer. Prompt: "A pill cutter splitting one pill into two pills."
Labels: health care, personal finance
How can you train an AI?
By AI, we're referring to "artificial intelligence" systems, which are a special class of machine learning computer programs that are increasing showing up in some pretty amazing applications. Whether its generating an image based on text you enter or nearly instantaneously writing the equivalent of a school report on a particular subject, AI systems are leaving the world of science fiction and becoming today's reality.
But how do their developers train these systems to do these things?
Last year, Matt Parker visited Antartica, where he learned how to apply maths to identify specific humpback whales. The following 22-minute video describes how the mathematical methods developed for advanced image recognition made it possible for him to use an Excel spreadsheet to identify a specific whale he photographed swimming off the north coast of Antartica*.
Clearly, AI can deliver impressive results, but how far can you trust those results?
One area where photo-recognition AI systems could make a real impact is in radiology, where such systems could potentially diagnosis serious health conditions much more quickly at much lower cost than can be done by professional radiologists.
A recent study published in the British Medical Journal (BMJ) asked if AI could pass the Royal College of Radiologists' board examination. Spoiler alert: It couldn't, where why it couldn't tells us something about the limitations of these AI deep maching learning systems. Chuck Dinerstein of the American Council on Science and Health summarizes the study's main findings, in which the performance of AI-trained systems and human radiologists were compared (emphasis ours):
First, the obvious, with two exceptions, humans did better than the AI on diagnosis where both had been trained; when unfamiliar pathology was introduced, AI failed across the board. Second, while the humans fared better, theirs was not a stellar performance. On average, newly minted radiologists passed 4 of the ten examinations.
“The artificial intelligence candidate... outperformed three radiologists who passed only one mock examination (the artificial intelligence candidate passed two). Nevertheless, the artificial intelligence candidate would still need further training to achieve the same level of performance and skill of an average recently FRCR qualified radiologist, particularly in the identification of subtle musculoskeletal abnormalities.”
The abilities of an AI radiology program remain brittle, unable to extend outside their training set, and as evidenced by this testing, not ready for independent work. All of this speaks to a point Dr. Hinton made in a less hyperbolic moment.
“[AI in the future is] going to know a lot about what you’re probably going to want to do and how to do it, and it’s going to be very helpful. But it’s not going to replace you.”
Here's the kicker according to Dinerstein:
We would serve our purposes better by seeing AI diagnostics as a part of our workflow, a second set of eyes on the problem, or in this case, an image. Interestingly, in this study, the researchers asked the radiologists how they thought the AI program would do; they overestimated AI, expecting it to do better than humans in 3 examinations. That suggests a bit of bias, unconscious or not, to trust the AI over themselves. Hopefully, experience and identifying the weakness of AI radiology will hone that expectation.
Like any human expert, AI has limitations. Identifying and knowing what those limitations are will be key to determining how trustworthy they are. In the case of health care, as the example from radiology makes clear, it could be your health that's on the line if you blindly put more trust into a system than it deserves.
Shelmerdine, S.C.; Martin, H.; Shirodkar, K.; Shamshuddin, S.; Weir-McCall, J.R. "Can artificial intelligence pass the Fellowship of the Royal College of Radiologists examination? Multi-reader diagnostic accuracy study." BMJ 2022; 379. DOI: 10.1136/bmj-2022-072826. (Published 21 December 2022).
* If you know your geography, you already knew every coast of Antartica is the north coast!...
Labels: ethics, health care, ideas, math, technology
Unlike other states coping with the winter surge in serious COVID-19 cases in their hospitals, Arizona never ran out of available Intensive Care Unit (ICU) bed space.
Here's a chart from the Arizona Department of Health Services COVID-19 data dashboard, which shows the daily percentage usage of ICU beds in the state, including for COVID-19 patients from 10 April 2020 through 20 February 2021:
ICU bed usage peaked at 93% on 30 December 2020, as the number of open ICU beds in the state dropped to 121, the lowest figure recorded during the state's experience with the coronavirus pandemic.
But while this chart ably communicates the percentage share of ICU beds that were either open, used by COVID-19 patients, or by non-COVID-19 patients, it doesn't communicate the story of how Arizona was able to avoid the situation that states like California faced in running out of ICU beds during the same period of time.
The following chart reveals that part of Arizona's secret to avoiding running out of ICU bed capacity was to increase its supply of ICU beds. In the chart, we've shown the daily numbers of open ICU beds, the ICU beds used by both COVID-19 and non-COVID patients, and also the total number of ICU beds in the period from 10 April 2020 through 20 February 2021, against the backdrop of the major turning points driving the number of COVID-19 cases in Arizona.
Here, we find that Arizona went from an average total of roughly 1,650 ICU beds early in the coronavirus pandemic to over 1,800 at its peak.
We also see that the number of COVID-19 and non-COVID-19 patients are inversely related, with one rising while the other falls, which points to another secret to Arizona's relative success in managing its limited ICU capacity. Hospital officials proactively managed non-COVID-19 patient ICU bed usage, which helped ensure ICU beds would be available for COVID patients.
At the same time, treatments available for COVID-19 patients have improved from lessons learned during the state's first wave of SARS-CoV-2 coronavirus infections. These improved treatments helped keep a considerable COVID-19 patients from needing to be placed in ICU beds.
That can be seen by the relative number of COVID-19 patients in Arizona hospital ICU beds. That number peaked at 970 during the state's first wave, and peaked at 1,183 during the state's second wave, a 22% increase.
By contrast, the rolling seven day moving average for the number of patients admitted to Arizona hospitals for COVID-19 peaked at 315 per day on 16 July 2020 during Arizona's first wave, and at 535 per day on 8 January 2021 during the state's second wave, a 70% increase. The much smaller percentage increase in ICU bed usage during Arizona's second wave may therefore be attributed to improved care and treatments available for COVID-19 patients at Arizona's hospitals.
The story of how Arizona's hospitals have managed its periodically worst-in-the-nation surge of COVID-19 has been absent in media reports. We thought it was time that somebody addressed even a small part of what looks to be an all-too-rare good news story.
Here is our previous coverage of Arizona's experience with the coronavirus pandemic, presented in reverse chronological order.
We've continued following Arizona's experience during the coronavirus pandemic because the state's Department of Health Services makes detailed, high quality time series data available, which makes it easy to apply the back calculation method to identify the timing and events that caused changes in the state's COVID-19 trends. This section links that that resource and many of the others we've found useful throughout the coronavirus pandemic.
Arizona Department of Health Services. COVID-19 Data Dashboard. [Online Application/Database].
Stephen A. Lauer, Kyra H. Grantz, Qifang Bi, Forrest K. Jones, Qulu Zheng, Hannah R. Meredith, Andrew S. Azman, Nicholas G. Reich, Justin Lessler. The Incubation Period of Coronavirus Disease 2019 (COVID-19) From Publicly Reported Confirmed Cases: Estimation and Application. Annals of Internal Medicine, 5 May 2020. https://doi.org/10.7326/M20-0504.
U.S. Centers for Disease Control and Prevention. COVID-19 Pandemic Planning Scenarios. [PDF Document]. Updated 10 September 2020.
More or Less: Behind the Stats. Ethnic minority deaths, climate change and lockdown. Interview with Kit Yates discussing back calculation. BBC Radio 4. [Podcast: 8:18 to 14:07]. 29 April 2020.
Labels: coronavirus, health care
One week ago, we projected the state of Arizona would soon arrive at a critical juncture in its experience with the coronavirus pandemic. With the rate of ICU bed usage in the state for COVID-19 patients now surpassing a key threshold, that time has now arrived.
That state of affairs may be seen in a chart tracking Daily COVID-19 ICU Bed Usage in Arizona, where the number of beds occupied by COVID-19 patients now exceeds the level would be considered easily sustainable.
Arizona's hospitals still have available ICU bed capacity, so the situation in the state isn't as critical as other areas that are currently experiencing a significant surge in cases. What exceeding this threshold means is that Arizona hospitals need to begin more actively managing their ICU beds usage to accommodate the rising numbers of COVID-19 patients. Ideally, those measures will involve increasing their ICU bed capacity. Unlike many states, Arizona saw two new hospitals open this month in its major metropolitan areas, which will provide some additional breathing room.
Sharp eyed readers will note we've added a new event to this chart. Event I marks an increase in the trend for COVID-19 ICU bed usage that coincides with political events that took place in the state during the period from 23 October 2020 through 25 October 2020. Using the back calculation method to identify the period in which the incidence of coronavirus exposures points to this period as a significant event. The latest update to our chart tracking daily new COVID-19 hospital admissions in Arizona identifies each of the major events associated with a changes in the risk of coronavirus exposure among Arizona's population.
The data for this latter chart is still incomplete, where the ICU bed usage chart has proven to be a good real time indicator of the progression of SARS-CoV-2 coronavirus infections within the state. We anticipate the rolling 7-day moving average will soon confirm the surge in COVID-19 hospitalizations.
Data for positive COVID-19 test results in Arizona already confirms a surge in new cases, pointing once again to the period of 23 October 2020 through 25 October 2020 as the period in which the incidence of new infections increased. The following chart of daily newly confirmed COVID-19 cases in Arizona shows the latest surge:
Meanwhile, since it has the greatest lag between the incidence of exposure and observed change in trend, a chart of deaths attributed to COVID-19 in Arizona does not yet confirm a change in trend. We project the rolling 7-day moving average of coronavirus deaths will show a change in trend taking place in the period from 9 November through 13 November 2020 as these deaths are reported in the weeks ahead.
We track Arizona's COVID-19 data because the state provides high quality, relatively detailed data that makes it possible to use the back calculation method to identify when the rate of incidence of coronavirus infections has changed for the state's residents. To better show how that method works, we put together the following chart to track the incidence of COVID-19 infections among the various demographic age groups reported by Arizona's Department of Health Services. The chart focuses on the time from 9 August 2020 through 18 November 2020, which covers Arizona's 'back-to-school' period for its state universities.
In this chart, we're identifying trend-changing events by number instead of letter, so here's the basic summary:
The current upward trend in cases and what we can identify as contributing factors to it using the back calculation method suggests the most effective approach state and local government officials can take to reverse its adverse trend would be to restrict the operation of high exposure risk businesses in local communities as the ICU beds usage within them nears 95% of capacity. Arizona has already demonstrated a decentralized approach can be highly effective in coping with a surge in cases, without unnecessarily imposing economic hardships on the state's residents in areas where the number of cases and burden on loal hospital resources is relatively low.
Local officials could also mandate wearing masks at public venues within their jurisdictions, though we think this option would provide little benefit. That is because most areas in the state already have relatively high rates of compliance with wearing masks inside local businesses, where there is little evidence to suggest a statewide mandate would significantly alter the trend. The current situation differs from the situation that applied during the summer when Arizona became a national hotspot for COVID-19 infections, when the rate of mask wearing was very low prior to the state governor's order allowing local officials to impose mask wearing requirements for their residents. Starting from an already higher level of mask wearing, any additional benefit that might be realized is much smaller.
With the elections now in the past, removing that contributor to the risk of virus exposure, Arizona's next challenge in its coronavirus pandemic experience will be to address the social mixing that will take place during the Thanksgiving holiday. We'll present our next follow up after the holidays to see how the state fared.
Here's our previous Arizona coronavirus coverage, with a sampling of some of our other COVID analysis!
Arizona Department of Health Services. COVID-19 Data Dashboard. [Online Application/Database].
Maricopa County Coronavirus Disease (COVID-19). COVID-19 Data Archive. Maricopa County Daily Data Reports. [PDF Document Directory, Daily Dashboard].
Stephen A. Lauer, Kyra H. Grantz, Qifang Bi, Forrest K. Jones, Qulu Zheng, Hannah R. Meredith, Andrew S. Azman, Nicholas G. Reich, Justin Lessler. The Incubation Period of Coronavirus Disease 2019 (COVID-19) From Publicly Reported Confirmed Cases: Estimation and Application. Annals of Internal Medicine, 5 May 2020. https://doi.org/10.7326/M20-0504.
U.S. Centers for Disease Control and Prevention. COVID-19 Pandemic Planning Scenarios. [PDF Document]. Updated 10 September 2020.
COVID Tracking Project. Most Recent Data. [Online Database]. Accessed 10 November 2020.
More or Less: Behind the Stats. Ethnic minority deaths, climate change and lockdown. Interview with Kit Yates discussing back calculation. BBC Radio 4. [Podcast: 8:18 to 14:07]. 29 April 2020.
Labels: coronavirus, health care, risk
New York has been, far and away, the worst state to be in for the coronavirus epidemic in the United States. Especially for elderly Americans with illnesses that require they live in nursing homes or long term care facilities, where one single poorly-considered policy implemented after the state's governor and public health officials began to panic when the going got tough has needlessly cost thousands of lives.
New Jersey has been the second most-impacted state or territory in the U.S. thanks to its proximity to New York City, which has been the nation's epicenter for the coronavirus epidemic. In fact, you can tell which counties of New Jersey can be considered to be part of New York City's greater metropolitan area just from a map indicating the number of confirmed COVID-19 cases have been recorded in each.
That close proximity to New York means that New Jersey has shared a very similar experience in dealing with the SARS-CoV-2 coronavirus. The following charts show the daily progression of the epidemic in New Jersey, the amount and results of medical testing in the state, and also the rolling 7-day totals for newly confirmed cases and deaths, all of which have generally tracked along with New York, although in the third, rightmost chart, you can see New Jersey was more successful in flattening its curve compared with how the spread of the coronavirus played out in New York.
While New Jersey's situation has improved significantly from what it was just three weeks ago, it too has seen an outsized number of deaths occurring in the state's nursing homes and long term care facilities, with numbers similar to New York. Unfortunately, the reason that is the case is the same: New Jersey Governor Phil Murphy and the state's public health officials copied what Governor Cuomo did in New York in mandating the state's nursing homes and long term care facilities admit patients known to be infected with the SARS-CoV-2 coronavirus, which ran rampant through the nursing homes, needlessly contributing to the premature deaths of thousands of New Jersey's most vulnerable residents. The following chart shows the results of that policy has been since it was adopted on 31 March 2020:
The question is why did New Jersey Governor Phil Murphy copy such a misguided policy? When the state of New York's Department of Health issued its infamous directive on 25 March 2020, the policy was slammed in the pages of the Wall Street Journal the next day. Less noticed however was a press release issued by the Committee to Reduce Infection Deaths on the same day, in which the anti-hospital infection public interest advocacy group also slammed New York's policy, but which cited an example from New Jersey for how the state should work to prevent the spread of coronavirus infections within the state's nursing homes.
Dear RID Friends and Healthcare Providers:
The State of New York is adopting a dangerous new policy requiring nursing homes to blindly admit patients infected with Covid-19, according to a new report in The Wall Street Journal.
Cuomo's edict, if reported correctly, dooms thousands of elderly to illness and likely death. Basic infection control says to identify and contain. Cuomo's edict does the opposite: conceal and spread. It spreads the infections to nursing homes and forcing homes to operate in the blind, not even knowing which incoming patients are coronavirus carriers.
A model of what should be done is how CareOne, an exemplary facility in New Jersey, knowingly emptied one of its locations to protect other uninfected residents and then welcomed coronavirus patients from St. Josephs to that facility.
You can find out more about the model New Jersey was setting here. Clearly, something dramatic changed, because just six days later, the Murphy administration issued a directive with the following instruction mandating that nursing homes and long term care facilities in New Jersey to admit patients with contagious coronavirus infections (the underlining is contained in the original document):
No patient/resident shall be denied re-admission or admission to the post-acute care setting solely based on a confirmed diagnosis of COVID-19 … Post-acute care facilities are prohibited from requiring a hospitalized patient/resident who is determined medically stable to be tested for COVID-19 prior to admission or readmission.
What changed? We've pieced together the story as best we can from contemporary reports, where the first indication that Governor Murphy would soon follow Governor Cuomo's bad example came on 28 March 2020, as a number of hospitals in northern New Jersey began to divert, or to not accept, new patients for 4-hour blocks of time because they were either at or near their full capacity.
The timing of these events coincides with the worst case projections the influential Institute for Health Metrics and Evaluation (IHME) has issued for New Jersey, which as in New York, was used by state policymakers to make decisions. In this case, we think those early diversions prompted New Jersey's leaders into thinking they were facing a worst-case scenario. The following chart shows what the IHME's projection for the number of hospital beds above New Jersey's available capacity looked like on 30 March 2020, just before Governor Murphy's administration implemented its policy that would allow hospitals to move as many asymptomatic or partially recovered coronavirus patients as they could to other medical facilities, which in the case of elderly patients, would mean moving them to nursing homes and long term care facilities throughout the state.
So the motive for Governor Murphy's administration to adopt the same policy that Governor Cuomo had less than a week earlier is the same. For Governor Murphy however, the lack of condemnation or criticism for Governor Cuomo's disastrous move other than in the Wall Street Journal cleared a path to act with impunity, where he could safely assume his own deadly action would not be challenged by the nation's media.
To understand what happened, let's take a moment to review the chart showing the 7-day rolling total for new coronavirus cases in New Jersey. On 31 March 2020, the number of confirmed cases was rocketing upward, which would go on to peak at 25,437 new cases per week on 7 April 2020. After that point, the state's curve flattened out under that level for the next three weeks, before the incidence of newly confirmed cases began to fall rapidly after that point.
Within that period, the number of COVID-19 hospitalizations peaked on 14 April 2020, just within the state's available capacity to accommodate these patients at its hospitals, thanks in large part to efforts they had made to expand their capacity in the preceding weeks. In the following chart, we've pieced together the number of New Jersey's long term care facilities that reported housing coronavirus patients at various points throughout the state's coronavirus epidemic from various reports, along with the figures the state's Department of Health began reporting for these facilities on 20 April 2020.
Before Governor Murphy's directive forcing nursing homes to admit infected coronavirus patients on 31 May 2020, 73 long term care facilities in the state reported having infected patients. On 8 April 2020, that figure had risen to 123. Twelve days later, with the number of new coronavirus infections throughout the state reaching and holding near its peak, the state's Department of Health began reporting the number of cases within the state's nursing homes, where that number had skyrocketed to 425 facilities.
That figure has continued to grow, where though 20 May 2020, the New Jersey Department of Health reports a cumulative 529 of the state's nursing homes long term care facilities have housed coronavirus-infected patients.
That outcome did not happen by accident. Nursing homes and long term care facilities are geographically dispersed, where they can be thought of as relatively isolated islands, where an outbreak of infections at one would not travel to others on its own. It took a deliberate policy by the governor and the state's public health officials to make that happen. And once it did, with recently transferred contagious patients exposing nursing home staff members to the infection, who in turn spread it to previously uninfected, but especially vulnerable nursing home residents with fatal effect.
The spread of coronavirus infections within New Jersey nursing homes and long term care facilities resulting from the Murphy administration's policy can be seen in the following chart, where we find from the available data that the number of infections at these facilities begins to take off after 31 March 2020, where by 20 May 2020, New Jersey's nursing homes account for 19% of all confirmed coronavirus cases in the state:
The deadly impact of the Murphy administration's policy can be seen in the next chart, where we find that New Jersey's nursing home residents account for over 51% of the deaths attributed to the COVID-19 coronavirus in New Jersey.
Were any of these nursing home deaths inevitable? It would be fair to assume that whatever portion of coronavirus infections that had made it into the 73 nursing homes that had them before Governor Murphy's policy went into effect on 31 March 2020 would be deadly, but only within those facilities. The Murphy administration's policy expanded the viral risk to hundreds of more facilities, where these COVID-19 attributed deaths could wholly have been avoided. If only Governor Murphy hadn't been a copycat of Governor Cuomo.
2019 Novel Coronavirus COVID-19 (2019-nCoV) Data Repository by Johns Hopkins CSSE. CSSE COVID-19 Time Series Data: Confirmed U.S. [CSV File]. Last updated 20 May 2020. Accessed 20 May 2020.
2019 Novel Coronavirus COVID-19 (2019-nCoV) Data Repository by Johns Hopkins CSSE. CSSE COVID-19 Time Series Data: Deaths U.S. [CSV File]. Last updated 20 May 2020. Accessed 20 May 2020.
New Jersey Department of Health. NJ Long Term Care Facilities with COVID-19 Outbreaks. [PDF Document]. Posted: 20-Apr-2020, 22-Apr-2020, 24-Apr-2020, 27-Apr-2020, 29-Apr-2020, 1-May-2020, 4-May-2020, 6-May-2020, 8-May-2020, 11-May-2020, 13-May-2020, 15-May-2020, 18-May-2020, 20-May-2020.
Arco, Matt. Number of coronavirus patients at N.J. hospitals drops to 3-week low with 5th straight day of declines. NJ.com. [Online Article]. 26 April 2020.
Associated Press. New Jersey reports 9 coronavirus deaths; elections postponed. Dayton 24/7 Now. [Online Article]. 19 March 2020.
Associated Press. NJ COVID-19 deaths climb by 17 to 44 in biggest jump yet. APNews.com. [Online Article]. 24 March 2020.
Associated Press. Coronavirus in 43 NJ nursing homes — death toll now at 81. New Jersey 101.5. [Online Article]. 27 March 2020.
Associated Press. 8 nursing home residents die of COVID-19, N.J. mayor says. Philadelphia Tribune. [Online Article]. 30 March 2020.
Broadt, Lisa. 3 deaths, 10 coronavirus cases ID’d at Mount Laurel nursing home. Burlington County Times. [Online Article]. 25 March 2020.
Institute for Health Metrics and Evaluation (IHME). COVID-19 Estimate Downloads. IHME. [Zip File]. 30 March 2020.
Washburn, Lindy. An unseen crisis: Coronavirus deaths mount at NJ nursing homes as virus spreads, staff dwindles. NorthJersey.com. [Online Article]. 8 April 2020.
Labels: coronavirus, health care, politics
Did the Affordable Care Act (a.k.a. "Obamacare") succeed in making health care more affordable for the average American household?
Data from the Consumer Expenditure Survey says... no!
Update 1 June 2018: The vertical dashed line in the chart indicates a break in the U.S. Census Bureau's methodology for collecting information about health insurance coverage that was implemented after 2013, where data in the periods before and after this change are not strictly comparable to each other. That said, the Consumer Expenditure Survey's data since 2013 confirms that the Affordable Care Act has failed to restrain the growth of average health insurance costs by American households during the period that it has been in effect.
Although the chart above focuses on what happened after it took effect, in reality, the health care cost curve began bending upward almost immediately after the Affordable Care Act was passed in 2010, leaving millions of Americans who had been promised by the ACA's supporters that it would reduce the cost of their health insurance sorely disappointed.
But that disappointment didn't extend to the people who owned stock in the U.S.' major health insurers, such as Centene (NYSE: CNC), United Healthcare (NYSE: UNH), WellCare (NYSE: WCG), Cigna (NYSE: CI), Humana (NYSE: HUM), Aetna (NYSE: AET), Molina (NYSE: MOH) and Anthem (NYSE: ANTM), where the Affordable Care Act has been a government-granted license to print money since it went into effect after 2013....
U.S. Bureau of Labor Statistics. Consumer Expenditure Survey. Multiyear Tables. [PDF Documents: 2008-2012, 2013-2016]. Accessed 28 May 2018. [Note: Data for 2017 will become available in September 2018.]
Added 4 June 2018: Here's a neat chart that accompanied a September 2017 Motley Fool article by Keith Speights:
The cost of health insurance, both in premiums and in deductibles, jumped considerably after 2013 when the Affordable Care Act went into effect.
Labels: data visualization, health care, health insurance, personal finance
Beginning in 2014, millions of lower income-earning Americans became eligible to have fully government-subsidized health insurance coverage through the U.S. government's Medicaid welfare program thanks to the expansion of eligibility for that program provided for by the Affordable Care Act (ACA), which is more popularly known as Obamacare. Unfortunately, that expanded access to health care may very well have caused an increase in death rates due to drug overdoses in the United States to such a degree that the overall estimated life expectancy of Americans has declined.
The influence of Obamacare's expansion of health care provided through Medicaid can be seen by comparing the death rates due to drug overdoses in the 28 states (and the District of Columbia) that chose to expand the enrollment of their state's Medicaid programs with the death rates in the 22 states that chose to not expand their state's Medicaid enrollment as part of the Affordable Care Act in the years before and after its implementation. In the following chart, we've indicated the highest, lowest, average (mean) and median death rates recorded among the individual states that participated in the Medicaid expansion.
Starting with the lowest death rates per 100,000 population reported among the Medicaid-expansion states, which mostly applies for North Dakota (for which no reliable data was available for 2011, where Iowa's data marks the low end of the scale in that year), we see that the pre-Medicaid expansion trend was essentially flat from 2010 through 2013, followed by a sharply rising trend in 2014 through 2015.
At the high end of the scale, where the data applies for the state of Washington), we see an overall rising trend from 2010 through 2013 (with a spike in 2011, which may be highly relevant in this discussion because Washington was one of six states to implement the early expansion of its Medicaid program in that year), followed by a much sharper increase from 2014 through 2015.
That overall pattern of slowly rising trend in 2010-2013 and much more sharply increasing rate of deaths from drug overdoses after Obamacare's wider expansion of Medicaid enrollments in these states from 2014 through 2015 is also evident in the mean (average) and median death rates recorded among the individual states in this grouping.
But what about the states that didn't expand their Medicaid enrollments as part of the Affordable Care Act? The following chart looks at the similar highest, lowest, mean and median data for death rates per 100,000 population from drug overdoses for these 22 states in the years before and after the implementation of Obamacare.
Starting again with the trend for lowest death rates attributed to drug overdoses in the non-Medicaid expansion states in the years from 2010 through 2015, we see here that the trend may be described as being somewhere between flat and slightly rising.
The same observation holds true for the states recording the highest rates of death due to drug overdoses.
However, when we look at the data for the mean and median drug overdose death rates in this grouping of states, we see a slow increase in the period from 2010 through 2013, followed by a more rapid increase in the years from 2014 through 2015 for the median data, but a slower increase in the average death rate recorded in these states during these latter two years, where the average dropped below the median value in 2015.
In our final chart, we'll use animation to more directly compare what happened between the median and avarage death rates in both groups of states. If you're reading this article on a site that republishes our RSS news feed, you may want to click through to our site to see the animation (assuming you've also enabled JavaScript on your web browser).
The key observation to take away from this comparison is that the increase in death rates due to drug overdoses in Obamacare's Medicaid expansion states has accelerated much faster in 2014 and 2015 than what was observed in the non-Medicaid expansion states.
At this point, we do need to point out the statistical truism that correlation is not necessarily causation. For instance, it could be that the states that were more likely for economic reasons to experience increasingly higher rates of deaths from drug overdoses perhaps influenced them to choose to join in the Affordable Care Act's expansion of their states' Medicaid programs, where they hoped to cash in on the additional funding provided for Medicaid by the ACA from the federal government.
However, the data does suggest that the practices of the Medicaid program are a significant contributing factor, where the health care provided by the U.S. government is directly responsible for the increase, where we can confirm that both federal and state-level Medicaid officials have been very specifically responding to the increases in drug overdose-related death rates in the U.S. by restricting the prescription of the opioid-based medications at the center of the nation's increase in overdose deaths.
As rates of prescription painkiller abuse remain stubbornly high, a number of states are attempting to cut off the supply at its source by making it harder for doctors to prescribe the addictive pills to Medicaid patients.
Recommendations on how to make these restrictions and requirements were detailed in a “best practices” guide from the federal Centers for Medicare and Medicaid Services....
Some states’ efforts to curtail prescribing predated CMS’ bulletin. But the advisory added new fuel to the trend. States such as New York, Rhode Island and Maine adopted new prescription size limits this year, and West Virginia will require prior authorization starting next year. In the 2016 fiscal year, 22 states either adopted or toughened their prescription size limits, and 18 did so with prior authorization.
The goal is to make physicians think twice before prescribing highly addictive opioids — a change many say is necessary, especially within the state-federal health insurance program for low-income people. After all, research indicates Medicaid beneficiaries are prescribed opioids at twice the rate of the rest of the population, and are at three to six times greater risk of an overdose.
Unfortunately, the problem of the federal government-provided health care programs in contributing to the nation's increase in drug overdose death rates is not limited to the Medicaid welfare program, where similar patterns in increased opioid addiction and drug overdose death rates are being seen among Americans who receive care from the Veterans Administration (VA) and the Indian Health Service (IHS), which are the U.S. government's single payer-style health care programs.
The expansion of "free" health care provided for by the U.S. federal government through these programs and through Obamacare's expansion of the Medicaid welfare program may very well have backfired by contributing to the nation's increase in drug overdose death rates and the decline in American life expectancy.
U.S. Centers for Disease Control and Prevention. National Vital Statistics System, Mortality. CDC WONDER. [Online Database]. Atlanta, GA: US Department of Health and Human Services, CDC; 2016. [Note: Deaths were classified using the International Classification of Diseases, Tenth Revision (ICD–10). Drug overdose deaths were identified using underlying cause-of-death codes X40–X44, X60–X64, X85, and Y10–Y14.]
Labels: data visualization, health, health care, health insurance, risk
Mark Bertolini is the CEO of Aetna (NYSE: AET). Yesterday, he gave an extended interview with the WSJ's Dennis Berman on the topic of the future of health care, in which he made big news by describing the Affordable Care Act (ACA), which is more popularly known as Obamacare, by saying that "it is in a death spiral."
But the part of his comments that really stood out to us came just after the 14-minute mark of the interview, where he said:
You know that mathematics education in the United States is working when someone says, let's see, I'm going to pay this much premium, I've got a $6,000 deductible, the average deductible across the country is $3,600 dollars, it's up 15% this year alone, right, and when I go to the doctor I'm going to pay cash, nobody anticipates spending a day in the hospital or going to the doctor more than once... so premium, plus deductible, plus paying cash... why do I do this? I'll just pay the penalty and move on.
We here at Political Calculations have been happy to help provide Americans with that particular mathematics education since 17 September 2013, when we introduced our tool "ObamaCare: Should You Pay the Premium or the Tax?" (a 2017 version is also available), in which we made the kind of personal finance math described by Bertolini easy to do for any American with an Internet connection.
So, in a way of speaking, we're the solution to the game of Clue featuring the all-but-confirmed death of Obamacare: it was Political Calculations, on the Internet, with Math!
That said, we do have some thoughts on how to address the situation that Bertolini describes as the result of the adverse selection that has drawn in the sickest Americans eligible for Obamacare while driving out the healthiest Americans. In our view, that outcome will be exceptionally valuable in making good on the failed promise of Obamacare to provide people with pre-existing conditions with the ability to obtain affordable health insurance coverage. Unlike the other failed Obamacare promise that "if you like your health care plan, you can keep it", we think it may be possible to make that kind of health insurance portability a reality, so long as it can be separated from the all the other, excessively wasteful baggage of the Affordable Care Act.
If you want a teaser, we think that the solution to that issue is not subsidized health insurance, but rather reinsurance, which is an idea that we'll explore more at a later date.
In the meantime, if you'd like to see what else Aetna's CEO had to say on about the future of health care, here's the WSJ's full video of the 50-minute interview, but we'll warn you in advance that it starts off with over four and a half minutes of some especially awful background music before it gets going.
Labels: health care, health insurance, math, personal finance
For the last three years, the U.S. government and the governments of the 50 states and the District of Columbia have been running an experiment on live human beings.
That experiment seeks to answer the question of whether providing "free" health insurance coverage through the Medicaid welfare program to low-income earning Americans whose household incomes fall between 100% and 138% of the poverty threshold would improve their health through increased access to health care resources enough to save lives.
The 50 states and the District of Columbia were divided through a political process into two groups in 2014, when the Patient Protection and Affordable Care Act (aka "Obamacare") went into effect. In that year, the governments of 26 states and the District of Columbia had acted to expand the eligibility of these low-income earning American households for their respective Medicaid programs, while the other 24 states did not. In the 24 states that did not act to expand their state's Medicaid welfare program, low income earning households were instead eligible for highly-subsidized health insurance coverage through their state's Affordable Care Act marketplace (or ACA exchange), which they would be able to opt out of if they chose instead to pay the ACA's "shared responsibility" tax.
Divided into these two groups, between Medicaid-expansion states and non-expansion states, we should be able to tell whether the expansion of eligibility for the Medicaid welfare program for low-income earning but non-impoverished American households saved lives through the National Center for Vital Statistics' data on each state's age-adjusted mortality rates given that this portion of income earners represents a significant share of each state's population.
In theory, because the expansion of eligibility of the Medicaid welfare program should improve the access of these low-income earning households to costly health care services by eliminating the need of these households to pay for their medical treatment, we should expect to see a noticeable reduction in the mortality rates for all causes in each Medicaid-expansion state that would not be evident in the non-Medicaid expansion states.
But to do the job properly, we need to take into account any trends in age-adjusted mortality rates that existed in the period prior to the implementation of Obamacare in 2014, which establishes a counterfactual for what we should expect mortality rates from all causes to be in each state in the absence of any expansion in Medicaid eligibility.
We did that for each state and the District of Columbia for the five full years from 2009 through 2013 using linear regression, which we used to project what each state's age-adjusted mortality rate would be in 2014. We can then compare those projected results with the actual age-adjusted mortality rates that was recorded for each state in 2014, which is the most recent year for which the NCHS has published final data for deaths at this time. All that data is presented in the following table (if you're accessing this article on a site that republishes our RSS news feed. and the table hasn't been rendered properly, you can see the original here).
Age-Adjusted Mortality Rates in 50 States and District of Columbia, 2009-2014 | ||||||||
---|---|---|---|---|---|---|---|---|
State | 2009 Actual | 2010 Actual | 2011 Actual | 2012 Actual | 2013 Actual | 2014 Projected | 2014 Actual | Expanded Medicaid? |
Alabama | 921.3 | 939.7 | 933.6 | 926.7 | 925.2 | 927.7 | 909.1 | No |
Alaska | 755.0 | 771.5 | 747.8 | 731.4 | 724.4 | 715.6 | 736.8 | No |
Arizona | 652.2 | 693.1 | 688.9 | 682.9 | 674.2 | 688.4 | 661.7 | Yes |
Arkansas | 874.6 | 892.7 | 895.3 | 897.5 | 893.8 | 903.7 | 883.7 | Yes |
California | 652.0 | 646.7 | 641.3 | 630.4 | 630.1 | 622.1 | 605.7 | Yes |
Colorado | 688.1 | 682.7 | 677.8 | 665.6 | 655.4 | 649.2 | 664.4 | Yes |
Connecticut | 684.1 | 652.9 | 660.6 | 648.2 | 646.3 | 634.3 | 646.5 | Yes |
Delaware | 753.5 | 769.9 | 764.2 | 745.4 | 726.8 | 728.6 | 734.0 | Yes |
District of Columbia | 812.7 | 792.4 | 755.9 | 757.2 | 752.0 | 727.1 | 743.8 | Yes |
Florida | 673.7 | 701.1 | 677.1 | 669.9 | 663.4 | 661.5 | 662.0 | No |
Georgia | 818.4 | 845.4 | 815.7 | 808.6 | 806.2 | 800.5 | 801.9 | No |
Hawaii | 619.7 | 589.6 | 584.9 | 586.5 | 590.8 | 576.0 | 588.7 | Yes |
Idaho | 721.3 | 731.6 | 745.0 | 726.6 | 730.6 | 735.1 | 723.8 | No |
Illinois | 743.5 | 736.9 | 737.4 | 728.7 | 724.0 | 719.9 | 726.0 | Yes |
Indiana | 815.8 | 820.6 | 825.1 | 827.5 | 832.2 | 836.2 | 822.3 | No |
Iowa | 724.7 | 721.7 | 722.7 | 718.3 | 723.7 | 720.6 | 722.9 | Yes |
Kansas | 760.2 | 762.2 | 767.2 | 761.0 | 757.7 | 759.8 | 759.3 | No |
Kentucky | 898.7 | 915.0 | 910.3 | 916.3 | 899.9 | 909.2 | 906.3 | Yes |
Louisiana | 888.3 | 903.8 | 886.6 | 898.6 | 897.7 | 899.1 | 894.2 | No |
Maine | 757.7 | 749.6 | 752.8 | 730.4 | 754.2 | 741.1 | 739.0 | No |
Maryland | 762.6 | 728.6 | 715.8 | 709.1 | 710.4 | 688.1 | 699.5 | Yes |
Massachusetts | 680.3 | 675.0 | 676.3 | 657.9 | 663.5 | 655.4 | 663.0 | Yes |
Michigan | 785.9 | 786.2 | 784.2 | 774.2 | 782.3 | 776.8 | 783.7 | Yes |
Minnesota | 651.8 | 661.5 | 659.2 | 649.5 | 651.0 | 650.5 | 647.0 | Yes |
Mississippi | 926.1 | 962.0 | 956.1 | 942.9 | 959.6 | 963.7 | 937.6 | No |
Missouri | 804.6 | 819.5 | 812.0 | 803.0 | 807.7 | 806.3 | 807.0 | No |
Montana | 758.0 | 754.7 | 760.6 | 732.4 | 761.3 | 748.7 | 732.1 | No |
Nebraska | 716.1 | 717.8 | 719.8 | 719.0 | 714.7 | 717.0 | 718.2 | No |
Nevada | 784.8 | 795.4 | 789.7 | 774.6 | 769.8 | 767.6 | 749.2 | Yes |
New Hampshire | 677.3 | 690.4 | 710.4 | 687.5 | 679.1 | 689.2 | 706.2 | Yes |
New Jersey | 694.8 | 691.1 | 690.6 | 677.6 | 676.4 | 671.0 | 665.7 | Yes |
New Mexico | 739.4 | 749.0 | 748.9 | 744.6 | 731.8 | 736.9 | 749.6 | Yes |
New York | 667.1 | 665.5 | 665.4 | 652.1 | 649.3 | 645.2 | 636.5 | Yes |
North Carolina | 800.7 | 804.9 | 790.9 | 786.4 | 777.6 | 772.7 | 775.9 | No |
North Dakota | 719.4 | 704.3 | 697.4 | 701.2 | 709.7 | 699.7 | 692.7 | Yes |
Ohio | 813.4 | 815.7 | 821.8 | 817.9 | 811.2 | 815.3 | 810.0 | Yes |
Oklahoma | 890.5 | 915.5 | 910.9 | 891.5 | 910.7 | 908.7 | 897.5 | No |
Oregon | 733.1 | 723.1 | 724.1 | 706.6 | 717.5 | 706.6 | 706.7 | Yes |
Pennsylvania | 770.8 | 765.9 | 776.0 | 759.2 | 761.3 | 758.9 | 750.2 | No |
Rhode Island | 717.6 | 721.7 | 707.3 | 686.5 | 709.6 | 693.2 | 700.9 | Yes |
South Carolina | 818.2 | 854.8 | 839.5 | 835.2 | 837.8 | 843.0 | 829.1 | No |
South Dakota | 689.3 | 715.1 | 720.6 | 712.3 | 679.3 | 696.5 | 710.4 | No |
Tennessee | 867.2 | 890.8 | 879.0 | 880.6 | 881.1 | 885.0 | 880.0 | No |
Texas | 754.3 | 772.3 | 751.6 | 753.3 | 751.6 | 749.3 | 745.3 | No |
Utah | 658.7 | 703.2 | 699.1 | 700.0 | 710.4 | 724.3 | 709.6 | No |
Vermont | 681.6 | 718.7 | 711.0 | 700.1 | 710.6 | 716.2 | 694.8 | Yes |
Virginia | 749.3 | 741.6 | 741.6 | 730.2 | 724.8 | 719.4 | 717.5 | No |
Washington | 709.8 | 692.3 | 690.4 | 681.5 | 679.3 | 669.1 | 672.9 | Yes |
West Virginia | 949.7 | 933.6 | 953.2 | 939.3 | 923.8 | 926.1 | 929.1 | Yes |
Wisconsin | 708.9 | 719.0 | 721.1 | 707.8 | 720.1 | 718.7 | 712.1 | No |
Wyoming | 776.4 | 778.8 | 754.6 | 748.3 | 731.7 | 722.0 | 742.4 | No |
Collectively, from 2009 through 2013, the 26 states and the District of Columbia that acted to expand their Medicaid welfare program eligibility in 2014 averaged annual declines in their age-adjusted mortality rates of 4.0 deaths per 100,000 population. Meanwhile, the 24 states that did not expand their Medicaid welfare program eligibility in 2014 saw an average annual decline in their mortality rates of 1.3 deaths per 100,000 population in the years from 2009 through 2013.
The chart below visualizes the age-adjusted mortality rate projected for each state in 2014 along with the actual mortality rate that was reported in 2014.
Collectively, there was very little difference in the average projected change in the age-adjusted mortality rate and the average actual mortality rate for the 26 states and the District of Columbia that chose to expand their Medicaid programs in 2014. The average actual rate was 0.2 deaths per 100,000 population higher than the projected decline based on the existing trend from 2009-2013, which is not significantly significant. If expanding the eligibility for Medicaid in these states produced life-saving benefits, you cannot tell the difference with this data.
The age-adjusted mortality rates in the 24 states that didn't expand their Medicaid welfare programs declined by 4.1 deaths per 100,000 population compared to what would have been expected in 2014 based on the preceding trends in these states from 2009 through 2013. We suspect that also is noise in the data.
These are interesting results, which if repeated again in both 2015 and 2016, would confirm that the expansion of Medicaid did very little to produce noticeable life-saving benefits for the Americans who were enrolled in it (one potential explanation for that result is presented here). With the single year of data we do have, it would appear that the Affordable Care Act's expansion of Medicaid provided very little benefit to the portion of the U.S. population that earns the lowest incomes outside of those falling below the poverty line in the jurisdictions where the expansion was implemented.
U.S. Centers for Disease Control. National Vital Statistics Reports. Volume 60. Number 3. Deaths: Final Data for 2009. Table 19. Number of deaths, death rates, and age-adjusted death rates for major causes of death: United States, each state, Puerto Rico, Guam, American Samoa, and Northern Marianas, 2009. [PDF Document]. 8 May 2013.
U.S. Centers for Disease Control. National Vital Statistics Reports. Volume 61. Number 4. Deaths: Final Data for 2010. Table 19. Number of deaths, death rates, and age-adjusted death rates for major causes of death: United States, each state, Puerto Rico, Guam, American Samoa, and Northern Marianas, 2010. [PDF Document]. 8 May 2013.
U.S. Centers for Disease Control. National Vital Statistics Reports. Volume 63. Number 3. Deaths: Final Data for 2011. Table 19. Number of deaths, death rates, and age-adjusted death rates for major causes of death: United States, each state, Puerto Rico, Guam, American Samoa, and Northern Marianas, 2011. [PDF Document]. 27 July 2015.
U.S. Centers for Disease Control. National Vital Statistics Reports. Volume 63. Number 9. Deaths: Final Data for 2012. Table 19. Number of deaths, death rates, and age-adjusted death rates for major causes of death: United States, each state, Puerto Rico, Guam, American Samoa, and Northern Marianas, 2012. [PDF Document]. 31 August 2015.
U.S. Centers for Disease Control. National Vital Statistics Reports. Volume 64. Number 2. Deaths: Final Data for 2013. Table 19. Number of deaths, death rates, and age-adjusted death rates for major causes of death: United States, each state, Puerto Rico, Guam, American Samoa, and Northern Marianas, 2013. [PDF Document]. 16 February 2016.
U.S. Centers for Disease Control. National Vital Statistics Reports. Volume 65. Number 4. Deaths: Final Data for 2014. Table 19. Number of deaths, death rates, and age-adjusted death rates for major causes of death: United States, each state, Puerto Rico, Guam, American Samoa, and Northern Marianas, 2014. [PDF Document]. 30 June 2016.
HealthPocket. Expansion of Medicaid in 2014. [Online Document]. 10 July 2014. Accessed 18 January 2017.
U.S. Census Bureau. Annual Estimates of the Resident Population for the United States, Regions, States, and Puerto Rico: April 1, 2010 to July 1, 2016 (NST-EST2016-01). [Excel Spreadsheet]. 7 December 2016. Accessed 18 January 2017.
Blase, Brian. New Gruber Study Raises Major Questions About Obamacare's Medicaid Expansion. Forbes. [Online Article]. 27 November 2016. Accessed 18 January 2017.
Labels: health care, health insurance
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