<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<meta name="Generator" content="Microsoft Word 15 (filtered medium)">
<style><!--
/* Font Definitions */
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0in;
font-size:11.0pt;
font-family:"Calibri",sans-serif;}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:blue;
text-decoration:underline;}
span.EmailStyle21
{mso-style-type:personal-reply;
font-family:"Calibri",sans-serif;
color:windowtext;}
.MsoChpDefault
{mso-style-type:export-only;
font-size:10.0pt;}
@page WordSection1
{size:8.5in 11.0in;
margin:1.0in 1.0in 1.0in 1.0in;}
div.WordSection1
{page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]-->
</head>
<body lang="EN-US" link="blue" vlink="purple" style="word-wrap:break-word">
<div class="WordSection1">
<p class="MsoNormal">Trials are done in phases. First they have to establish that the treatment does no harm. That’s what this was about. Some anti-vax jerk probably dug up this reference and started quoting it out of context, like you are.<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<div>
<div style="border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0in 0in 0in">
<p class="MsoNormal"><b>From:</b> Friam <friam-bounces@redfish.com> <b>On Behalf Of
</b>thompnickson2@gmail.com<br>
<b>Sent:</b> Thursday, September 16, 2021 9:28 AM<br>
<b>To:</b> 'The Friday Morning Applied Complexity Coffee Group' <friam@redfish.com><br>
<b>Subject:</b> Re: [FRIAM] Could this possibly be true?<o:p></o:p></p>
</div>
</div>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">You guys keep proving my point about the 100<sup>th</sup> Meridian and irony.<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Would any of you buy a seat belt that was marketed to not cause deaths? You are so lost in your point about small numbers that you’ve lost your sense of the plain meaning of words. Sheesh!<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">n<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Nick Thompson<o:p></o:p></p>
<p class="MsoNormal"><a href="mailto:ThompNickSon2@gmail.com"><span style="color:#0563C1">ThompNickSon2@gmail.com</span></a><o:p></o:p></p>
<p class="MsoNormal"><a href="https://wordpress.clarku.edu/nthompson/"><span style="color:#0563C1">https://wordpress.clarku.edu/nthompson/</span></a><o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<div style="border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0in 0in 0in">
<p class="MsoNormal"><b>From:</b> Friam <<a href="mailto:friam-bounces@redfish.com">friam-bounces@redfish.com</a>>
<b>On Behalf Of </b>Roger Critchlow<br>
<b>Sent:</b> Thursday, September 16, 2021 12:16 PM<br>
<b>To:</b> The Friday Morning Applied Complexity Coffee Group <<a href="mailto:friam@redfish.com">friam@redfish.com</a>><br>
<b>Subject:</b> Re: [FRIAM] Could this possibly be true?<o:p></o:p></p>
</div>
<p class="MsoNormal"><o:p> </o:p></p>
<div>
<p class="MsoNormal">sum(reasons_for_death) != number_of_deaths, and Death itself is listed as a reported cause of death.<o:p></o:p></p>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">-- rec --<o:p></o:p></p>
</div>
</div>
<p class="MsoNormal"><o:p> </o:p></p>
<div>
<div>
<p class="MsoNormal">On Thu, Sep 16, 2021 at 12:01 PM Pieter Steenekamp <<a href="mailto:pieters@randcontrols.co.za">pieters@randcontrols.co.za</a>> wrote:<o:p></o:p></p>
</div>
<blockquote style="border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-top:5.0pt;margin-right:0in;margin-bottom:5.0pt">
<div>
<div>
<p class="MsoNormal">For what it's worth, from table S4 in the supplementary data <a href="https://www.medrxiv.org/content/medrxiv/early/2021/07/28/2021.07.28.21261159/DC1/embed/media-1.pdf" target="_blank">https://www.medrxiv.org/content/medrxiv/early/2021/07/28/2021.07.28.21261159/DC1/embed/media-1.pdf</a><br>
<br>
Reported Cause of Death BNT162b2 (N=21,926) Placebo (N=21,921) <br>
Deaths 15 14
<br>
Acute respiratory failure 0 1
<br>
Aortic rupture 0 1
<br>
Arteriosclerosis 2 0
<br>
Biliary cancer metastatic 0 1
<br>
COVID-19 0 2
<br>
COVID-19 pneumonia 1 0
<br>
Cardiac arrest 4 1
<br>
Cardiac failure congestive 1 0
<br>
Cardiorespiratory arrest 1 1
<br>
Chronic obstructive pulmonary <br>
disease 1 0
<br>
Death 0 1
<br>
Dementia 0 1
<br>
Emphysematous cholecystitis 1 0
<br>
Hemorrhagic stroke 0 1
<br>
Hypertensive heart disease 1 0
<br>
Lung cancer metastatic 1 0
<br>
Metastases to liver 0 1
<br>
Missing 0 1
<br>
Multiple organ dysfunction <br>
syndrome 0 2
<br>
Myocardial infarction 0 2
<br>
Overdose 0 1
<br>
Pneumonia 0 2
<br>
Sepsis 1 0
<br>
Septic shock 1 0
<br>
Shigella sepsis 1 0
<br>
Unevaluable event 1 0<o:p></o:p></p>
</div>
<p class="MsoNormal"><o:p> </o:p></p>
<div>
<div>
<p class="MsoNormal">On Thu, 16 Sept 2021 at 17:37, Frank Wimberly <<a href="mailto:wimberly3@gmail.com" target="_blank">wimberly3@gmail.com</a>> wrote:<o:p></o:p></p>
</div>
<blockquote style="border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-top:5.0pt;margin-right:0in;margin-bottom:5.0pt">
<div>
<p class="MsoNormal">Pittsburgh irony: Ooh. Yinz are rill tough. I'm skeered. Cf. Kasich, who is from McKees Rocks which is across the river from "dahntahn" Pittsburgh.<o:p></o:p></p>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal" style="margin-bottom:12.0pt">Yinz = "you ones" similar to "y'all" in the South.<o:p></o:p></p>
<div>
<p class="MsoNormal">---<br>
Frank C. Wimberly<br>
140 Calle Ojo Feliz, <br>
Santa Fe, NM 87505<br>
<br>
505 670-9918<br>
Santa Fe, NM<o:p></o:p></p>
</div>
</div>
</div>
<p class="MsoNormal"><o:p> </o:p></p>
<div>
<div>
<p class="MsoNormal">On Thu, Sep 16, 2021, 8:41 AM <<a href="mailto:thompnickson2@gmail.com" target="_blank">thompnickson2@gmail.com</a>> wrote:<o:p></o:p></p>
</div>
<blockquote style="border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-top:5.0pt;margin-right:0in;margin-bottom:5.0pt">
<div>
<div>
<p>Then we can say with a 99% probability that the vaccination does not increase the total (again all causes) death rate with more than a factor of 1.6.<o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">Oh I am so glad. So reassuring*.
<o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">You guys are scaring the total crap out of us citizens.
<o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">N<o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">PS to Frank. There’s lot’s of irony in Pittsburgh. I count on you to recognize it.
<o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">Nick Thompson<o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><a href="mailto:ThompNickSon2@gmail.com" target="_blank"><span style="color:#0563C1">ThompNickSon2@gmail.com</span></a><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><a href="https://wordpress.clarku.edu/nthompson/" target="_blank"><span style="color:#0563C1">https://wordpress.clarku.edu/nthompson/</span></a><o:p></o:p></p>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
<div style="border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0in 0in 0in">
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><b>From:</b> Friam <<a href="mailto:friam-bounces@redfish.com" target="_blank">friam-bounces@redfish.com</a>>
<b>On Behalf Of </b>Pieter Steenekamp<br>
<b>Sent:</b> Thursday, September 16, 2021 7:34 AM<br>
<b>To:</b> The Friday Morning Applied Complexity Coffee Group <<a href="mailto:friam@redfish.com" target="_blank">friam@redfish.com</a>><br>
<b>Subject:</b> Re: [FRIAM] Could this possibly be true?<o:p></o:p></p>
</div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">Thank you Roger,<br>
<br>
Using the numbers from Phizer's report, I did a sort of quick and dirty manual iteration process to get to the following Monte Carlo testing conclusion<br>
<br>
If:<br>
a) the total death rate of the unvaccinated is 14/22000 (all causes) and<br>
b) a total of 15 out of 22000 (again all causes) of the vaccinated group died<br>
Then we can say with a 99% probability that the vaccination does not increase the total (again all causes) death rate with more than a factor of 1.6.<br>
<br>
My Python program to do this is as follows:<o:p></o:p></p>
<div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;line-height:14.25pt;background:#FFFFFE">
<span style="font-size:10.5pt;font-family:"Courier New";color:black">import random<br>
total_of_tentousand_samples_less_than_16=0<br>
r=1.6 # manually iterate this number until the answer is less than 100, with 1000 test runs for a probability of 99%
<br>
numberList = [0, 1] # 0 = live, 1=dead<br>
for i in range(1000):<br>
x=(random.choices(numberList, weights=((1-r*14/22000), r*14/22000), k=22000))<br>
if( sum(x)<16):<br>
total_of_tentousand_samples_less_than_16=total_of_tentousand_samples_less_than_16+1 <br>
print(total_of_tentousand_samples_less_than_16)<br>
<br>
# iteration tally:<br>
# with r=1.5 then total_of_tentousand_samples_less_than_16=105<br>
# with r=1.6 then total_of_tentousand_samples_less_than_16=69 </span><o:p></o:p></p>
</div>
</div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><br>
Pieter<o:p></o:p></p>
</div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
<div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">On Wed, 15 Sept 2021 at 22:26, Roger Critchlow <<a href="mailto:rec@elf.org" target="_blank">rec@elf.org</a>> wrote:<o:p></o:p></p>
</div>
<blockquote style="border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-top:5.0pt;margin-right:0in;margin-bottom:5.0pt">
<div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">Pieter -<o:p></o:p></p>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">The initial safety and efficacy report was published in the New England Journal of Medicine at the end of 2020, <a href="https://www.nejm.org/doi/full/10.1056/nejmoa2034577" target="_blank">https://www.nejm.org/doi/full/10.1056/nejmoa2034577</a>,
it has smoother language and inline graphics. It also has fewer deaths in the treatment group than in the control group, but it is only reporting the first two months of the study.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">The numbers of deaths reported in the "Adverse Reactions" section of these reports will eventually track the expected death rate of the population in the trial, and apparently they
do, since there is no comment to indicate otherwise. Every clinical trial that tests the safety of a treatment is expected to agree with the baseline mortality statistics for the population in the trial.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">If you see 14 and 15 deaths out of 22000 participants and your immediate response is that 15 is bigger than 14, then you should probably stop torturing yourself with statistical
data. You're making and agonizing over distinctions that the data can never support. The number of deaths in a population over a period of time has an average value and a variance which are found by looking at large populations over long periods of time.
In any particular population and period of time there are a lot trajectories that the death count can take that will be consistent with the long term average even as they wander above and below the average.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">I append a simple simulation in julia that you can think about.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">-- rec --<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># from
<a href="https://www.cdc.gov/nchs/fastats/deaths.htm" target="_blank">https://www.cdc.gov/nchs/fastats/deaths.htm</a><br>
death_rate = 869.7 # raw deaths per 100000 per year</span><o:p></o:p></p>
</div>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># simulate the action of a 'death rate' on a population of 'sample' individuals for 'days' of time.</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># convert the raw death rate to the death_rate_per_individual_per_day, ie death_rate/100000/365.25,</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># allocate an array of size sample*days, size coerced to an integer value,</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># fill the array with uniform random numbers.</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># if an array value is less than the death rate per person per day, score 1 death.</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># this overcounts because individuals can be scored as dying more than once, YODO!</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New"">simulate(death_rate, sample, days) =<br>
sum(rand(Int(sample*days)) .< death_rate/100000/365.25)</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># accumulate an ensemble of death rate simulation results.</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># run 'trials' simulations of 'death_rate' for 'sample' individuals for 'days' time.</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># accumulate an array with the number of deaths in each simulation</span><o:p></o:p></p>
</div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New"">accumulate(death_rate, sample, days, trials) =<br>
[simulate(death_rate, sample, days) for i in 1:trials]</span><o:p></o:p></p>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># check the model: run the simulation with death_rate for 100000 individuals and 365.25 days,</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># the result averaged over multiple simulations should tend to the original death_rate.</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># we report the mean and standard error of the accumulated death counts</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;margin-bottom:12.0pt"><span style="font-family:"Courier New"">julia> mean_and_std(accumulate(death_rate, 100000, 365.25, 50))<br>
(868.34, 31.64188002361066)</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># That's in the ball park</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># Now what are the expected deaths per 22000 over 180 days</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New"">julia> mean_and_std(accumulate(death_rate, 22000, 180, 50))<br>
(94.3, 10.272312697891614)</span><br>
<span style="font-family:"Courier New""><br>
# that's nowhere close to the 14 and 15 found in the report. </span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># Probably the trial population was chosen to be young and healthy, </span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># so they have a lower death rate than the general population.</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># let's use 14.5 deaths per 22000 per 180 days as an estimated trial population death rate</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># but convert the value to per_100000_per_year.</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New"">julia> est_death_rate = 14.5/22000*100000/180*365.25<br>
133.74053030303028</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># check the model:</span><o:p></o:p></p>
</div>
<div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;margin-bottom:12.0pt"><span style="font-family:"Courier New"">julia> mean_and_std(accumulate(est_death_rate, 22000, 180, 50))<br>
(14.96, 3.6419326558007294)</span><o:p></o:p></p>
</div>
<div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># in the ball park again. </span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># So the point of this simulation isn't the exact result, it's the pairs of results that this process can generate</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># let's stack up two sets of simulations, call the top one 'treatment' and the bottom one 'control'</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># treatment and control are being generated by the exact same model, </span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># but their mutual relation is bouncing all over the place. </span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New""># That treatment>control or vice versa is just luck of the draw</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New"">julia> [accumulate(est_death_rate, 22000, 180, 20), accumulate(est_death_rate, 22000, 180, 20) ]</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"><span style="font-family:"Courier New"">2-element Vector{Vector{Int64}}:<br>
[12, 12, 13, 11, 22, 13, 14, 16, 13, 14, 21, 17, 13, 14, 19, 11, 20, 11, 9, 19]<br>
[11, 14, 15, 17, 11, 19, 17, 12, 16, 14, 18, 16, 11, 16, 12, 16, 10, 14, 17, 13]</span><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">On Wed, Sep 15, 2021 at 2:25 AM Pieter Steenekamp <<a href="mailto:pieters@randcontrols.co.za" target="_blank">pieters@randcontrols.co.za</a>> wrote:<o:p></o:p></p>
</div>
<blockquote style="border:none;border-left:solid #CCCCCC 1.0pt;padding:0in 0in 0in 6.0pt;margin-left:4.8pt;margin-top:5.0pt;margin-right:0in;margin-bottom:5.0pt">
<div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">In the Phizer report "Six Month Safety and Efficacy of the BNT162b2 mRNA COVID-19 Vaccine" (<a href="https://www.medrxiv.org/content/10.1101/2021.07.28.21261159v1.full.pdf" target="_blank">https://www.medrxiv.org/content/10.1101/2021.07.28.21261159v1.full.pdf</a>)
, I picked up the following:<br>
<br>
"During the blinded, controlled period, 15 BNT162b2 and 14 placebo recipients died" <br>
<br>
Does this mean the Phizer vaccine did not result in fewer total deaths in the vaccinated group compared to the placebo unvaccinated group?<br>
<br>
I sort of can't believe this, I obviously miss something.<br>
<br>
But of course, there are clear benefits in that the reported vaccine efficacy was 91.3%<o:p></o:p></p>
</div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">- .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. .<br>
FRIAM Applied Complexity Group listserv<br>
Zoom Fridays 9:30a-12p Mtn GMT-6 <a href="http://bit.ly/virtualfriam" target="_blank">
bit.ly/virtualfriam</a><br>
un/subscribe <a href="http://redfish.com/mailman/listinfo/friam_redfish.com" target="_blank">
http://redfish.com/mailman/listinfo/friam_redfish.com</a><br>
FRIAM-COMIC <a href="http://friam-comic.blogspot.com/" target="_blank">http://friam-comic.blogspot.com/</a><br>
archives: <a href="http://friam.471366.n2.nabble.com/" target="_blank">http://friam.471366.n2.nabble.com/</a><o:p></o:p></p>
</blockquote>
</div>
</div>
</div>
<p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto">- .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. .<br>
FRIAM Applied Complexity Group listserv<br>
Zoom Fridays 9:30a-12p Mtn GMT-6 <a href="http://bit.ly/virtualfriam" target="_blank">
bit.ly/virtualfriam</a><br>
un/subscribe <a href="http://redfish.com/mailman/listinfo/friam_redfish.com" target="_blank">
http://redfish.com/mailman/listinfo/friam_redfish.com</a><br>
FRIAM-COMIC <a href="http://friam-comic.blogspot.com/" target="_blank">http://friam-comic.blogspot.com/</a><br>
archives: <a href="http://friam.471366.n2.nabble.com/" target="_blank">http://friam.471366.n2.nabble.com/</a><o:p></o:p></p>
</blockquote>
</div>
</div>
</div>
<p class="MsoNormal"><br>
.-- .- -. - / .- -.-. - .. --- -. ..--.. / -.-. --- -. .--- ..- --. .- - .<br>
FRIAM Applied Complexity Group listserv<br>
Zoom Fridays 9:30a-12p Mtn UTC-6 <a href="http://bit.ly/virtualfriam" target="_blank">
bit.ly/virtualfriam</a><br>
un/subscribe <a href="http://redfish.com/mailman/listinfo/friam_redfish.com" target="_blank">
http://redfish.com/mailman/listinfo/friam_redfish.com</a><br>
FRIAM-COMIC <a href="http://friam-comic.blogspot.com/" target="_blank">http://friam-comic.blogspot.com/</a><br>
archives:<br>
5/2017 thru present <a href="https://redfish.com/pipermail/friam_redfish.com/" target="_blank">
https://redfish.com/pipermail/friam_redfish.com/</a><br>
1/2003 thru 6/2021 <a href="http://friam.383.s1.nabble.com/" target="_blank">http://friam.383.s1.nabble.com/</a><o:p></o:p></p>
</blockquote>
</div>
<p class="MsoNormal"><br>
.-- .- -. - / .- -.-. - .. --- -. ..--.. / -.-. --- -. .--- ..- --. .- - .<br>
FRIAM Applied Complexity Group listserv<br>
Zoom Fridays 9:30a-12p Mtn UTC-6 <a href="http://bit.ly/virtualfriam" target="_blank">
bit.ly/virtualfriam</a><br>
un/subscribe <a href="http://redfish.com/mailman/listinfo/friam_redfish.com" target="_blank">
http://redfish.com/mailman/listinfo/friam_redfish.com</a><br>
FRIAM-COMIC <a href="http://friam-comic.blogspot.com/" target="_blank">http://friam-comic.blogspot.com/</a><br>
archives:<br>
5/2017 thru present <a href="https://redfish.com/pipermail/friam_redfish.com/" target="_blank">
https://redfish.com/pipermail/friam_redfish.com/</a><br>
1/2003 thru 6/2021 <a href="http://friam.383.s1.nabble.com/" target="_blank">http://friam.383.s1.nabble.com/</a><o:p></o:p></p>
</blockquote>
</div>
</div>
<p class="MsoNormal"><br>
.-- .- -. - / .- -.-. - .. --- -. ..--.. / -.-. --- -. .--- ..- --. .- - .<br>
FRIAM Applied Complexity Group listserv<br>
Zoom Fridays 9:30a-12p Mtn UTC-6 <a href="http://bit.ly/virtualfriam" target="_blank">
bit.ly/virtualfriam</a><br>
un/subscribe <a href="http://redfish.com/mailman/listinfo/friam_redfish.com" target="_blank">
http://redfish.com/mailman/listinfo/friam_redfish.com</a><br>
FRIAM-COMIC <a href="http://friam-comic.blogspot.com/" target="_blank">http://friam-comic.blogspot.com/</a><br>
archives:<br>
5/2017 thru present <a href="https://redfish.com/pipermail/friam_redfish.com/" target="_blank">
https://redfish.com/pipermail/friam_redfish.com/</a><br>
1/2003 thru 6/2021 <a href="http://friam.383.s1.nabble.com/" target="_blank">http://friam.383.s1.nabble.com/</a><o:p></o:p></p>
</blockquote>
</div>
</div>
</body>
</html>