In statistics, the coverage probability is a technique for calculating a confidence interval which is the proportion of the time that the interval contains the true value of interest. For example, suppose our interest is in the mean number of months that people with a particular type of cancer remain in remission following successful treatment with chemotherapy. The confidence interval aims to contain the unknown mean remission duration with a given probability. This is the "confidence level" or "confidence coefficient" of the constructed interval which is effectively the "nominal coverage probability" of the procedure for constructing confidence intervals. The "nominal coverage probability" is often set at 0.95. The coverage probability is the actual probability that the interval contains the true mean remission duration in this example. If all assumptions used in deriving a confidence interval are met, the nominal coverage probability will equal the coverage probability (termed "true" or "actual" coverage probability for emphasis). If any assumptions are not met, the actual coverage probability could either be less than or greater than the nominal coverage probability. When the actual coverage probability is greater than the nominal coverage probability, the interval is termed a conservative (confidence) interval, if it is less than the nominal coverage probability, the interval is termed "anti-conservative", or "permissive." A discrepancy between the coverage probability and the nominal coverage probability frequently occurs when approximating a discrete distribution with a continuous one. The construction of binomial confidence intervals is a classic example where coverage probabilities rarely equal nominal levels. For the binomial case, several techniques for constructing intervals have been created. The Wilson or Score confidence interval is one well known construction based on the normal distribution. Other constructions include the Wald, exact, Agresti-Coull, and likelihood intervals. While the Wilson interval may not be the most conservative estimate, it produces average coverage probabilities that are equal to nominal levels while still producing a comparatively narrow confidence interval. The "probability" in coverage probability is interpreted with respect to a set of hypothetical repetitions of the entire data collection and analysis procedure. In these hypothetical repetitions, independent data sets following the same probability distribution as the actual data are considered, and a confidence interval is computed from each of these data sets; see Neyman construction. The coverage probability is the fraction of these computed confidence intervals that include the desired but unobservable parameter value. (Wikipedia).
This video explains how to determine the probability of an outcome given the odds of an outcome. http://mathispower4u.com
From playlist Probability
How to find the probability of consecutive events
👉 Learn how to find the conditional probability of an event. Probability is the chance of an event occurring or not occurring. The probability of an event is given by the number of outcomes divided by the total possible outcomes. Conditional probability is the chance of an event occurring
From playlist Probability
This video introduces probability and determine the probability of basic events. http://mathispower4u.yolasite.com/
From playlist Counting and Probability
Learn to find the or probability from a tree diagram
👉 Learn how to find the conditional probability of an event. Probability is the chance of an event occurring or not occurring. The probability of an event is given by the number of outcomes divided by the total possible outcomes. Conditional probability is the chance of an event occurring
From playlist Probability
Ex: Determine Probability Given Odds
This video explains how to determine probability given odds.
From playlist Probability
Finding the conditional probability from a two way frequency table
👉 Learn how to find the conditional probability of an event. Probability is the chance of an event occurring or not occurring. The probability of an event is given by the number of outcomes divided by the total possible outcomes. Conditional probability is the chance of an event occurring
From playlist Probability
Probability - Quantum and Classical
The Law of Large Numbers and the Central Limit Theorem. Probability explained with easy to understand 3D animations. Correction: Statement at 13:00 should say "very close" to 50%.
From playlist Physics
Using a contingency table to find the conditional probability
👉 Learn how to find the conditional probability of an event. Probability is the chance of an event occurring or not occurring. The probability of an event is given by the number of outcomes divided by the total possible outcomes. Conditional probability is the chance of an event occurring
From playlist Probability
Garden City Ruby 2014 - Pharmacist or a Doctor - What does your code base need?
By Pavan Sudarshan and Anandha Krishnan You might know of every single code quality & metrics tool in the Ruby ecosystem and what they give you, but do you know: Which metrics do you currently need? Do you really need them? How do you make your team members own them? Wait, there was a me
From playlist Garden City Ruby 2014
Assumption-free prediction intervals for black-box regression algorithms - Aaditya Ramdas
Seminar on Theoretical Machine Learning Topic: Assumption-free prediction intervals for black-box regression algorithms Speaker: Aaditya Ramdas Affiliation: Carnegie Mellon University Date: April 21, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
From playlist Plenary talks One World Symposium 2020
GTAC 2010: Lightning Talks - Day 1
Google Test Automation Conference 2010 October 28-29, 2010 Lightning Talks by various GTAC 2010 attendees. Slides for this talk are available at https://docs.google.com/leaf?id=0AYfT-BFGDnQkZDVzcmhiNF8yMzZmanpqbTJmYg
From playlist GTAC 2010
GTAC 2015: Coverage is Not Strongly Correlated with Test Suite Effectiveness
http://g.co/gtac Slides: https://docs.google.com/presentation/d/1ttVaFhAfnbO0027Hd_Tz47P5xPHtLf4mLr12xFRMKig/pub Laura Inozemtseva (University of Waterloo) The coverage of a test suite is often used as a proxy for its ability to detect faults. However, previous studies that investigated
From playlist GTAC 2015
05b Machine Learning: Curse of Dimensionality
A lecture on the curse of dimensionality. Motivation for feature selection and dimensionality reduction. This is an undergraduate / graduate course that I teach once a year at The University of Texas at Austin. We build from fundamental spatial / subsurface, geoscience / engineering model
From playlist Machine Learning
What probability is. More free lessons at: http://www.khanacademy.org/video?v=3ER8OkqBdpE
From playlist Old Algebra
MountainWest RubyConf 2014 - Re-thinking Regression Testing by Mario Gonzalez
Regression testing is invaluable to knowing if changes to code have broken the software. However, it always seems to be the case that no matter how many tests you have in your regression buckets, bugs continue to happily creep in undetected. As a result, you are not sure if you can trust y
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RubyConf2019 - Digging Up Code Graves in Ruby by Noah Matisoff
RubyConf2019 - Digging Up Code Graves in Ruby by Noah Matisoff As codebases grow, having dead code is a common issue that teams need to tackle. Especially for consumer-facing products that frequently run A/B tests using feature flags, dead code paths can be a significant source of technic
From playlist RubyConf 2019
Determining the conditional probability from a contingency table
👉 Learn how to find the conditional probability of an event. Probability is the chance of an event occurring or not occurring. The probability of an event is given by the number of outcomes divided by the total possible outcomes. Conditional probability is the chance of an event occurring
From playlist Probability
TensorFuzz: Debugging Neural Networks with Coverage-Guided Fuzzing | AISC
For slides and more information on the paper, visit https://aisc.ai.science/events/2019-08-26 Discussion lead: Tahseen Shabab Motivation: Machine learning models are notoriously difficult to interpret and debug. This is particularly true of neural networks. In this work, we introduce a
From playlist Architecture Tuning