Why does an uneven sample size increase minimum detectable effect?

I'm designing an experiment in which I want to have uneven allocations because one of the treatments is strongly suspected as being worse. This caused me to examine minimum detectable effects for a number of weeks and sample ratios. The test statistic is a mean.

For this I looped over this python function many times for different sample sizes and sample ratios:

statsmodels.stats.power.tt_ind_solve_power

The output looks like this:

https://preview.redd.it/nvw8qk7jad381.png?width=2150&format=png&auto=webp&s=eb88bde0aaa537e5dce4b6a7d72263e0d034f582

I must confess I was a bit shocked that the smallest MDEs weren't at 50:50 allocation and that it showed a sweet spot at around 30% allocation.

Is this correct or have I messed something up?

If this is correct, what's the explanation for it?

If this is the case, I'm surprised that I hadn't heard of this before as a means of increasing testing power.

Code:

https://preview.redd.it/v30tqsdmad381.png?width=1572&format=png&auto=webp&s=c10e5d0b6d89c06ecdf7bd884c9c166d57c2cbeb

import statsmodels.api as smimport csv

sample_sizes = [10000, 12000, 14000, 16000, 18000, 20000, 22000, 24000, 26000, 28000, 30000, 32000]

percenctages = [0.05, 0.1, 0.15, 0.2, 0.25, 0.3, 0.35, 0.4, 0.45, 0.49]

output = []for p in percenctages:for i, ss in enumerate(sample_sizes):n1 = (1-p)*ssn2 = p*ss# nobs2 = nobs1 * ratior = n2 / n1mde = sm.stats.tt_ind_solve_power(effect_size=None,nobs1=(1-r)*ss,alpha=0.05,power=0.8,ratio=r,alternative='smaller')output.append([i+1, p, mde])

with open("pre_test_paramaters.csv", "w", newline="") as f:writer = csv.writer(f)writer.writerows(output)

Corrected output:

https://preview.redd.it/39c6zrjbde381.png?width=2136&format=png&auto=webp&s=821175f7d89783f14e5eb979d3ebff22155ffbe7

πŸ‘︎ 2
πŸ’¬︎
πŸ‘€︎ u/pelicano87
πŸ“…︎ Dec 03 2021
🚨︎ report
The test swab sterilizing agent? Europe bans ethylene oxide in food. The amount one can’t surpass, is the minimum detectable quantity, meaning if you can test and pick up traces of any whatsoever, it’s too much, and your food is banned. Ban the schwabs
πŸ‘︎ 14
πŸ’¬︎
πŸ‘€︎ u/allenbyNY
πŸ“…︎ Nov 04 2021
🚨︎ report
TIL a strong radio signal from outer space was picked up by Ohio State University's radio telescope in 1977. The signal appeared to come from the constellation Sagittarius. The signal had no detectable message but remains the strongest candidate for an alien radio transmission ever detected en.wikipedia.org/wiki/Wow…
πŸ‘︎ 4k
πŸ’¬︎
πŸ‘€︎ u/DonnyTheBowler
πŸ“…︎ May 07 2021
🚨︎ report
Injectable Biosensor Converts Brain Activities to Detectable Optical Signals. New nanotechnology, called NeuroSWARM3 by its inventors can convert thoughts (brain signals) to remotely measurable signals for high-precision brain-machine interfacing photonics.com/Articles/In…
πŸ‘︎ 79
πŸ’¬︎
πŸ‘€︎ u/QuantumThinkology
πŸ“…︎ Jul 30 2021
🚨︎ report
Fetal meconium does not have a detectable microbiota before birth (May 2021, n=20) "no microbial signal distinct from negative controls was detected in fetal meconium by 16S. positive aerobic and anaerobic clinical cultures of fetal meconium were identified as likely skin contaminants" eurekalert.org/pub_releas…
πŸ‘︎ 54
πŸ’¬︎
πŸ‘€︎ u/MaximilianKohler
πŸ“…︎ May 13 2021
🚨︎ report
Injectable Biosensor Converts Brain Activities to Detectable Optical Signals. New nanotechnology, called NeuroSWARM3 by its inventors is monitoring neuronal activity noninvasively and converting thoughts (brain signals) to remotely measurable signals for high-precision brain-machine interfacing photonics.com/Articles/In…
πŸ‘︎ 7
πŸ’¬︎
πŸ‘€︎ u/QuantumThinkology
πŸ“…︎ Jul 30 2021
🚨︎ report
Injectable Biosensor Converts Brain Activities to Detectable Optical Signals. New nanotechnology, called NeuroSWARM3 by its inventors is monitoring neuronal activity noninvasively and converting thoughts (brain signals) to remotely measurable signals for high-precision brain-machine interfacing photonics.com/Articles/In…
πŸ‘︎ 12
πŸ’¬︎
πŸ‘€︎ u/QuantumThinkology
πŸ“…︎ Jul 30 2021
🚨︎ report
Injectable Biosensor Converts Brain Activities to Detectable Optical Signals. New nanotechnology, called NeuroSWARM3 by its inventors can convert thoughts (brain signals) to remotely measurable signals for high-precision brain-machine interfacing photonics.com/Articles/In…
πŸ‘︎ 20
πŸ’¬︎
πŸ‘€︎ u/QuantumThinkology
πŸ“…︎ Jul 30 2021
🚨︎ report
The 1966 Fair Labor Standards Act extended federal minimum wage coverage to sectors where black workers were overrepresented. The reform had no detectable effect on employment and explains 20% of the reduction in the racial earnings gap in the late 1960s and early 1970s (E. Derenoncourt, May 2019) dash.harvard.edu/bitstrea…
πŸ‘︎ 46
πŸ’¬︎
πŸ‘€︎ u/yonkon
πŸ“…︎ Mar 22 2021
🚨︎ report
Injectable Biosensor Converts Brain Activities to Detectable Optical Signals photonics.com/Articles/In…
πŸ‘︎ 3
πŸ’¬︎
πŸ‘€︎ u/jeremiahthedamned
πŸ“…︎ Jul 31 2021
🚨︎ report
Injectable Biosensor Converts Brain Activities to Detectable Optical Signals. New nanotechnology, called NeuroSWARM3 by its inventors can convert thoughts (brain signals) to remotely measurable signals for high-precision brain-machine interfacing photonics.com/Articles/In…
πŸ‘︎ 2
πŸ’¬︎
πŸ“…︎ Jul 30 2021
🚨︎ report
Neutron stars scanned for signals of dark matter turning into light. It's predicted that the intense magnetic field of a neutron star could convert dark matter into detectable photons. newatlas.com/physics/neut…
πŸ‘︎ 85
πŸ’¬︎
πŸ‘€︎ u/MistWeaver80
πŸ“…︎ Dec 27 2020
🚨︎ report
No detectable signal for ongoing genetic recombination in SARS-CoV-2 biorxiv.org/content/10.11…
πŸ‘︎ 11
πŸ’¬︎
πŸ‘€︎ u/RufusSG
πŸ“…︎ Dec 16 2020
🚨︎ report
[todayilearned] TIL a strong radio signal from outer space was picked up by Ohio State University's radio telescope in 1977. The signal appeared to come from the constellation Sagittarius. The signal had no detectable message but remains the strongest candidate for an alien radio transmission ever d en.wikipedia.org/wiki/Wow…
πŸ‘︎ 3
πŸ’¬︎
πŸ‘€︎ u/Know_Your_Shit_v2
πŸ“…︎ May 07 2021
🚨︎ report
What's the point of manually choosing Minimum Detectable Effect?

I'm running AB-test with an Average Page Depth (Per Session) as a non-binary key metric and now I'm totally confused with the need to deal with choosing MDE and sample size.

Look, I understand all those things about level of significance and how to choose between parametric or non-parametric tests. I thought I understood statistics until I had to launch an AB-test by myself.

Some resources say "Step 1. Estimate the desired conversion rate lift". Well, I don't know which rate lift I want. 10%? Okay. 5%? Okay. 1%? Okay. 0.001%? Any improvement is okay as long as it is statistically significant (I mean, p-value is <5%).

My question is: why should I bother about sample size and MDE if my statistical test says everything I need with a p-value? Lower sample size -> higher standard deviation -> lower statistic. It says everything needed by itself.

πŸ‘︎ 3
πŸ’¬︎
πŸ‘€︎ u/kekpok228
πŸ“…︎ Oct 05 2020
🚨︎ report
Doug Ford's minimum wage move signals it's election time in Ontario cbc.ca/news/canada/toront…
πŸ‘︎ 1k
πŸ’¬︎
πŸ‘€︎ u/morenewsat11
πŸ“…︎ Nov 03 2021
🚨︎ report
Signal that has been interfering with airplanes in Israeli airspace is detectable from space, appears to come from new deployment of Moscow’s electronic warfare systems timesofisrael.com/gps-jam…
πŸ‘︎ 1k
πŸ’¬︎
πŸ‘€︎ u/Bobbbobbobby
πŸ“…︎ Jun 30 2019
🚨︎ report
[Q] Interpreting minimum detectable difference

Hi r/statistics,

I am reading up on the concept of the minimum detectable difference, and I was wondering: Let's say I wish to do an independent samples t-test to compare two groups A and B, and I find that the minimum detectable difference I can observe is k (in unstandardised units) given Ξ± = 0.05, power = 0.8, and sample size n (n = n_A + n_B, where n_A = n_B).

If I were to observe a "statistically significant" difference (p < 0.05) between the two groups that was smaller than the minimum detectable difference of k, should this scenario be interpreted as evidence of a false positive?

P.S., I'd like to say my thanks and show my appreciation to the community. Happy Christmas and new year to you.

πŸ‘︎ 8
πŸ’¬︎
πŸ‘€︎ u/lightsnooze
πŸ“…︎ Dec 24 2019
🚨︎ report
No fancy forbidden glitter but still detectable v.redd.it/qn1gis6s7a681
πŸ‘︎ 24k
πŸ’¬︎
πŸ‘€︎ u/-Alchem1st-
πŸ“…︎ Dec 18 2021
🚨︎ report
Minimum size and speed of object to leave a detectable wake in interstellar dust?

Dust is everywhere in the universe. How large, how distant, and how fast would an object have to fly, so that we see its wake in the dust with current technology?

πŸ‘︎ 4
πŸ’¬︎
πŸ‘€︎ u/bb_me_another_day
πŸ“…︎ Jul 26 2018
🚨︎ report
"This large regional pattern of sea level trends in the tropical Pacific was attributed to internal climate variability, as the effect of any external anthropogenic signal is not yet significantly detectable (Bilbao et al., 2015; Meyssignac et al., 2012; Palanisamy et al., 2015b)." researchgate.net/publicat…
πŸ‘︎ 2
πŸ’¬︎
πŸ‘€︎ u/schnufi666
πŸ“…︎ Oct 10 2019
🚨︎ report
If your car detects that you made a turn at a traffic light or stop sign without using your turn signal, it should beep at you the way it does when you don’t fasten your seat belt.

Not using a turn signal is also a safety issue. The technology used already available that allows the car to know if it is at a stop sign, traffic signal etc. One day, turn signals may be fully automated (and indeed self driving).

But right now, at the very least, as a safety aid, the car should signal that you made an unsafe driving maneuver by turning without signaling and it should beep at you just the way it does when you try to drive without a seat belt. Not continuously, just 2 or 3 beeps once the turn is complete.

πŸ‘︎ 1k
πŸ’¬︎
πŸ‘€︎ u/moby323
πŸ“…︎ Jan 13 2022
🚨︎ report
TIL that flowering plants generate a small electrical charge, detectable by bees, which signals to them that pollen and nectar are available. ncbi.nlm.nih.gov/pmc/arti…
πŸ‘︎ 75
πŸ’¬︎
πŸ‘€︎ u/bio101throwaway
πŸ“…︎ Mar 04 2019
🚨︎ report
A national analysis found 72% of Colorado children under age 6 had lead in their blood, well above the national rate of 51% (Sep 2021, n=1mil) Individual- and Community-Level Factors Associated With Detectable and Elevated Blood Lead Levels in US Children Results From a National Clinical Laboratory axios.com/local/denver/20…
πŸ‘︎ 1k
πŸ’¬︎
πŸ‘€︎ u/MaximilianKohler
πŸ“…︎ Jan 03 2022
🚨︎ report
For those who are still skeptical about the casino rig slot machine like I was, sadly its detectable
πŸ‘︎ 85
πŸ’¬︎
πŸ‘€︎ u/Eclopsod
πŸ“…︎ Jan 12 2022
🚨︎ report
Block Signal minimum distance between tracks going in opposite directions

I've got a two way right hand drive train network with the tracks placed on a single foundation but just far enough apart that trains going in opposite directions don't collide.

But, I think the tracks are too close for the block signals to work and instead they give Signal Loops onto itself errors. The screen shots below are of a straight bit of track with three signals (2 blocks).

All three blocks have Signal loop errors

If there wasn't a distance issue I'd expect 1 and 2 to be green but 3 could throw an error depending on how the rest of the track was set up.

Moving the middle signal out to the right 1 foundation, then clears the error from the second block.

Second block moved over a bit.

So it looks like if any part of the block is within 0.5(?) foundations of another line, it thinks it is the same line and causes a loop error?

Most of my T-Junctions are based on the same single foundation spacing, so this causes even more issues.

Has anyone else come across this and worked out how/if it can be fixed or what the minimum spacing should be for lines going in different directions?

πŸ‘︎ 7
πŸ’¬︎
πŸ‘€︎ u/SuperheroTim
πŸ“…︎ Oct 27 2021
🚨︎ report
We are currently staying in a β€œextended stay” hotel temporarily and the internet is terrible. My IT requires a minimum speed of 25 mbps with an upload of 5 mbps and a download of 25 mbps. We tried a miFi from Verizon but the signal wasn’t strong enough so I had to return it.
πŸ‘︎ 3
πŸ’¬︎
πŸ‘€︎ u/boxycracker
πŸ“…︎ Oct 20 2021
🚨︎ report
Signal that has been interfering with airplanes in Israeli airspace is detectable from space, appears to come from new deployment of Moscow’s electronic warfare systems timesofisrael.com/gps-jam…
πŸ‘︎ 16
πŸ’¬︎
πŸ‘€︎ u/worldnewsbot
πŸ“…︎ Jun 30 2019
🚨︎ report
Need help. Guy is selling new Omni viii with the following specs. How’s this looking so far? β€œThey’re Omni 8, so they have minimum specs as follows: resolution (min)- 60 Signal to noise (min)- 25 Sensitivity (min)- 2,000 Halo (max)- 1.00 EBI (max) 2.5 FOM (minimum)-1600”
πŸ‘︎ 3
πŸ’¬︎
πŸ‘€︎ u/Broken_Donut1776
πŸ“…︎ Oct 15 2021
🚨︎ report
Signal that has been interfering with airplanes in Israeli airspace is detectable from space, appears to come from new deployment of Moscow’s electronic warfare systems

This is the best tl;dr I could make, original reduced by 77%. (I'm a bot)


> Similar GPS disruptions have been reported in recent years around the Black Sea, along Russia&#039;s borders with Norway and Finland, and near the Kremlin and Russian President Vladimir Putin&#039;s palace.

> According to Humphreys, the method being used by Russia appears to be a combination of jamming, in which GPS service is outright denied, and spoofing, the term for feeding GPS receivers false information.

> He said the sudden appearance of the problem in Israel could be the result of any number of changes to Russia&#039;s deployment of its transmitters, also known as jammers - either the deployment of additional transmitters, an increase in the power of them or a repositioning of one of the jammers closer to the border with Israel.

> This GPS denial of service does not affect Russian pilots taking part in the civil war in Syria, as Russia does not rely on GPS satellites for its navigation.

> Humphreys said the jamming appeared to be an effort by Russia to prevent attacks by drones that rely on GPS navigation to attack their bases and personnel, but also is a way for Moscow to demonstrate to the entire world its &quot;Dominance in the radio spectrum."

> In addition to Russia&#039;s GPS spoofing, Israel has been accused by Syria and Arab media of carrying out electronic warfare attacks on the Syrian military, falsely triggering or knocking out its air defenses.


Summary Source | FAQ | Feedback | Top keywords: GPS^#1 Israel^#2 Russia^#3 navigation^#4 Humphreys^#5

Post found in /r/worldnews, /r/syriancivilwar and /r/N_N_N.

NOTICE: This thread is for discussing the submission topic. Please do

... keep reading on reddit ➑

πŸ‘︎ 2
πŸ’¬︎
πŸ‘€︎ u/autotldr
πŸ“…︎ Jun 30 2019
🚨︎ report
A reminder that not all cases of Omicron will be detectable by testing depending on the days since exposure to the virus. Please don’t rely solely on rapid tests.
πŸ‘︎ 103
πŸ’¬︎
πŸ‘€︎ u/Areilan
πŸ“…︎ Dec 31 2021
🚨︎ report
Doug Ford's minimum wage move signals it's election time in Ontario cbc.ca/news/canada/toront…
πŸ‘︎ 3
πŸ’¬︎
πŸ‘€︎ u/TheRSSBot
πŸ“…︎ Nov 03 2021
🚨︎ report
How detectable is One Power?

Iβ€˜ve seen S1 twice and decided to pick up the books. I’m a third into The Eye of the World, and am rewatching the series again bc I have no self control. However, there’s one thing I haven’t been able to decipher (& am yet to get there in the books). Moraine seems to be aware of Egwene’s ability to channel before she is. Even Nynayeve’s to extent. Also, Aes Sedai can sense the amount of power Logain has when they need to shield him, which makes sense.

How come is Moraine then not aware then when Rand channels throughout the season, as we find out he’s been doing it towards the end? I know women can’t see men channeling, does that also mean they can’t know/feel that a man is a channeler until they see the effects? Thanks!

πŸ‘︎ 56
πŸ’¬︎
πŸ‘€︎ u/__pinkpowerranger
πŸ“…︎ Jan 08 2022
🚨︎ report
So what’s up with the Paternal Haplogroup E-L618/E-V13? What would cause a full German with no detectable Eastern-Euro ancestry like my father to have this Haplogroup as opposed to R1b?
πŸ‘︎ 12
πŸ’¬︎
πŸ“…︎ Dec 28 2021
🚨︎ report
76% of children sampled in Iowa have detectable lead levels in their blood. There is no "safe" level of blood lead.
πŸ‘︎ 293
πŸ’¬︎
πŸ‘€︎ u/ThisIsNotCorn
πŸ“…︎ Dec 08 2021
🚨︎ report
I just bought this mouse but I don’t know if it’s fake, the box came with all this Chinese words, the good signal is that razer synapse detected it
πŸ‘︎ 216
πŸ’¬︎
πŸ‘€︎ u/YoBoi909
πŸ“…︎ Jan 06 2022
🚨︎ report
Upgraded from 3060ti to 3070, no signal detected? reddit.com/gallery/rgp2sp
πŸ‘︎ 369
πŸ’¬︎
πŸ‘€︎ u/Nalloon
πŸ“…︎ Dec 15 2021
🚨︎ report
[J] [RNM: Neuron radio signals] Brain "neurons emit weak radio signals across the ELF/SLF/ULF frequency bands which are detectable remotely."

>ELF/SLF/ULF radio

>Neurons emit weak radio signals across the ELF/SLF/ULF frequency bands which are detectable remotely.[56] There have been reports that brain-computer interfaces (BCIs) utilising these bands may be achievable, since radio energy in these frequency ranges can be absorbed by neurons.[57][58][59][60]

http://dictionary.sensagent.com/Brain_computer_interface/en-en/#ELF.2FSLF.2FULF_radio

Clicking the references in this post will not open the papers. Clicking on the references in the article will open the papers. If the papers don't open, use a search engine to find them and cite the URL in a comment.

>56 Existence of Electromagnetic Radiation in Humans in ELF Band, Progress In Electromagnetics Research Symposium, August 22–26, 2005

>57 On the possibility of directly accessing every human brain by electromagnetic induction of fundamental algorithms., Behavioural Neuroscience Laboratory, Laurentian University, Sudbury, Ontario, Canada.,1995 Jun

>58 Chaos control and synchronization of two neurons exposed to ELF external electric field., School of Electrical and Automation Engineering, Tianjin University, Tianjin 300072, China.,23 March 2006

Broken link. Full text of paper is at:

http://engineering.nyu.edu/mechatronics/Control_Lab/bck/VKapila/Chaotic%20Ref/Porfiri%27s/Biblio/Wang06.pdf

>59 Unidirectional synchronization of Hodgkin–Huxley neurons exposed to ELF electric field., School of Electrical and Automation Engineering, Tianjin University, Tianjin 300072, China.,29 May 2007

Broken link. Paper is at:

https://www.researchgate.net/publication/243333017_Unidirectional_synchronization_of_Hodgkin-Huxley_neurons_exposed_to_ELF_electric_field

>60 Fire patterns of modified HH neuron under external sinusoidal ELF stimulus., School of Electrical and Automation Engineering, Tianjin University, Tianjin 300072, China.,5 August 2008.

Broken link. Paper is at:

https://www.sciencedirect.com/science/article/pii/S0960077908003688

Would subscribers be interested in finding current papers?

Frequencies used:

Paper #56:

>It is typical for recordings made with the loop antenna (Fig.3) that the man present is amplifying frequency components markedly near SR. In addition to this resonance, presence of the man results in appearance of other distinctive frequency peaks on frequencies in 1.3 - 4 Hz band in signal spectres, furthermore on frequency 21.2 Hz and 28.7 Hz.

>It is typical for recordings made with large ind

... keep reading on reddit ➑

πŸ‘︎ 3
πŸ’¬︎
πŸ‘€︎ u/microwavedalt
πŸ“…︎ Aug 29 2018
🚨︎ report

Please note that this site uses cookies to personalise content and adverts, to provide social media features, and to analyse web traffic. Click here for more information.