Power Calculations in Hypothesis Testing | Statistics Tutorial #17 | MarinStatsLectures
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- Опубликовано: 5 фев 2025
- Power and Error Calculations in Hypothesis Testing and Statistics with Examples: What is Power(sensitivity) in Statistics and How to Calculate it? What factors influence errors in hypothesis testing and power of the test? How can we increase power of a test in research and statistics?
👉🏼 Errors and Power in Statistics Video: ( • Errors and Power in Hy... ); Sensitivity, Specificity, Positive and Negative Predictive Values Video ( • Sensitivity, Specifici... )
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In this statistics video lecture we learn about statistical power of a hypothesis test and type II error in statistics and in research.This tutorial covers the concept of power in statistics, how statistical power can be calculated, and the factors that affect power.
Here, we explore more in detail how the Power is related to alpha, the sample size (n), and the difference we wish to detect. The goal is to use this as a foundation for understanding the concept of power, and the factors that affect it. While power calculations can become quite complicated very quickly, the underlying concept is always the same. This video should lay a foundation for understanding power as a concept.
Some of these terminology can be confusing at first. when "rejecting a null hypothesis", this is referred to as a "positive test result". "failing to reject the null" is a "negative test result" (much like disease testing, null is that you don’t have disease, alternative is that you do have the disease, and testing positive means we reject the null and conclude that you have the disease, and vice versa). A Type I error is when we reject the null when in reality it is true. when we reject the null this is a "positive test result" and if in reality this is incorrect, it is a "false positive".
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👋🏼 Hello there! In this video we explore how the statistical power is related to alpha, the sample size (n), and the difference we wish to detect. We also go over the calculations for statistical power and errors in hypothesis testing. If you like to support us you can Donate (bit.ly/2CWxnP2), Share our Videos, Leave us a Comment and Give us a Like 👍🏼 ! Either way We Thank You! 🦄
How can equality be in both null and alternative hypothesis
This video is a gem when it comes to understanding Power of a Test. Have not came across any such other informative video till now. Thanks a lot.
This is great. I have been hearing about power for a very long time and read a little about it, but this makes it much more clear. Thanks!
great to hear!
This is much easier to understand!!! I have been struggling with this for weeks. Thanks
One of the best stat lecture. I hate so much with the formula all stat course show us.20 years still confuse and forgot even I had revisit stat over 50 times
I understand a bit of English only, but this is an spectacular video, I would like all profesors in colleges were like you. Thank you so much for this videos so important.
this is the clearest video on the power
very well explained 👏
Thanks a lot, your explanations are just on point! It helped me a great deal :)
Thank You. This was very helpful
you're welcome!
Thank you!!
💫
THANK YOU!!!!!!!!!!!
Very well explained but little bit tough. Our teachers did not explained in such a good sense. I am student of statistics department. It took a little bit time even for me to understand. I appreciate the work you done.
Kindly explain how to choose sample size for different study designs?
beautifully explained.
Hey Marin, thank you very much for your videos, they are awesome, great, neat, andvery helpful. I have just one
QUESTION: Where do you Explain the t table type of exercise? I hear you say we do it with z to simplify, but i wanted to know about t.
THank you very much!!!
while calculating Beta at 12:12, for calculating, z- static given the Ha is true, why did you use Std. Dev. of population, wouldn't it be different for new distribution if Ha is true?
Thank you:). it helps me a lot!
Thank you, if i knew you, i would not have had a D in statistic in University :(
Why is the alternative hypothesis (mu
Dear Martin, thank you for this lecture.
I still have a question : Power = P(reject H0 | Ha =True) as you state it.
Given that Ha = true, then the mean BP = 145 mm Hg +/- SD for people using the drug
A power of 80% tells us that the chance = 80% that we observe a mean blood pressure = 145 mmHg +/- SD in these people,
but there still is a 20% chance that their mean blood pressure still = 160 mmHg +/- 36?
Is this the correct translation of power is P(rejecting the H0|Ha is true)?
Hi Mike, where do you get the 1.65 from in this video?
Hi, I might be wrong but I though that at 5:49 the s in the Zstat should be a sigma because the s is for the t test and sampling distribution but now the Standard deviation is known it should bee a sigma right? You know what I mean? For the rest really helpful but I was just confused
Yep, it was supposed to be the sigma, what he tried to indicate that using t-score is more appropriate than z-score but he used z-score for the sake of simplicity. But when sample size gets larger, it doesn't matter anymore :3
Why did you use the std deviation of the original population for calculating beta zstat? Wouldn’t the alternative distribution have a different std deviation? Thanks for your video, the best i’ve ever watched
That would be our best guess at the SD. And most often we’d assume the SD to be a certain value regardless of the value of the mean. Hope that made sense
Please make videos on moderator data and cluster analysis based on real dataset
Thanks for the suggestion. Right now I mostly create videos related to the courses I’m teaching
Can you add some lectures about Nonpaametric tests?????? I need help in that
Coming up... we’re going to be ready to post one about the Wilcoxon Signed Rank test within 1 week. We also use this topic to introduce the general concept underlying a non parametric test
Thank you very much for consideration, please upload Kulmogrov test and Brown -Moods method for regression too, looking forward for videos on non parametric statistics too. Thanks Again
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Why did you do "
That is a one-sided alternative
May i know how u got z score 1.65 ?
Hi I am learning the videos too. He mentioned that it is based on the z distribution table alpha=0.05.
Lu Zhang thanks !!!