Survival Analysis Part 2 | Survival Function, Hazard, & Hazard Ratio

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This video introduces Survival Analysis, and particularly focuses on explaining what the survival functions is, what the hazard is, and what the hazard ratio is in survival analysis. The goal is to lay the foundation for each of these, as they get expanded on in later videos. The video also presents a graphical display of each of these, to elaborate on what each is in terms of looking at a survival curve. This video is the first in a series of videos covering survival analysis. The series contains videos that explain the concepts as well as vides that show implementation using the statistical software R.

These videos were put together quickly in response to the COVID-19 pandemic, and are being used as we transition classes to be online for the remainder of the year.

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Content Creator: Mike Marin (B.Sc., MSc.) Senior Instructor at UBC.
Producer and Creative Manager: Ladan Hamadani (B.Sc., BA., MPH)

These videos are created by #marinstatslectures to support some statistics courses at the University of British Columbia (UBC) (#IntroductoryStatistics and #RVideoTutorials ), although we make all videos available to the everyone everywhere for free.

Thanks for watching! Have fun and remember that statistics is almost as beautiful as a unicorn!

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Wonderful lecture!!! You filled the void of good lectures on this topic....May Almighty bless you.

fazlfazl
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Definitely saving this playlist! Thank you so much, your videos answered a lot of questions I had from my Biostats class, and you explained it so clearly.

simonaydevos
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100 times better than the class I joined!

yuchenjia
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You've made the concept so easy to understand.

saikoloassad
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3.59 lightbulb. You are an amazing teacher, exam soon.. THANKS!

makemymarket
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HOW AMAZING THE VIDEO IS!! BETTER THAN MY TEACHER SAID!

苏婉婷-tw
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Just in case someone else is a mathematican here: The author actually tells in the next video, taht the hazard is actually the derivative of the survival function with respect to time. That confirms my believe that the probability in the definition of hazard should be divided by the delta (and taking the limit for delta going to zero). Even without the limit, with the division by delta the definition makes much more sense as it is by far not as depndent on the value of delta as long as it is small enough so that the survival function can be approximated by a line. Without the divisin, taking delta twice as large makes the "hazard" about twice as high and it makes it uselss. But I understand that most of the audiance are not mathematicians comming here just for statistics. Explaining this in a more detail could result in more confusion than clarification.

maja
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Thank you for the very easy to understand lecture!

thisisbryce
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Amazing didactic, very well explained. Thank you very much!

thiagoluz
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Wonderful series of Lectures. .. please upload more topics on Survival Analysis. Also, here is my request - kindly upload a series of lectures on reliability theory, if possible. Thank you.

Songvbm
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Thank you so much, you make this easy to understand

rechellejacobs
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If the event that I want to analyze is the time to improvement the condition of a patients (in this case based on their hospitalization during xx days), then what is the definition of survival function?

hasnar