Design of experiments | Logic and statistics
In science, a null result is a result without the expected content: that is, the proposed result is absent. It is an experimental outcome which does not show an otherwise expected effect. This does not imply a result of zero or nothing, simply a result that does not support the hypothesis. In statistical hypothesis testing, a null result occurs when an experimental result is not significantly different from what is to be expected under the null hypothesis; its probability (under the null hypothesis) does not exceed the significance level, i.e., the threshold set prior to testing for rejection of the null hypothesis. The significance level varies, but common choices include 0.10, 0.05, and 0.01. As an example in physics, the results of the Michelson–Morley experiment were of this type, as it did not detect the expected velocity relative to the postulated luminiferous aether. This experiment's famous failed detection, commonly referred to as the null result, contributed to the development of special relativity. The experiment did appear to measure a non-zero "drift", but the value was far too small to account for the theoretically expected results; it is generally thought to be inside the noise level of the experiment. (Wikipedia).
Overview of null hypothesis, examples of null and alternate hypotheses, and how to write a null hypothesis statement.
From playlist Hypothesis Tests and Critical Values
From playlist Unlisted LA Videos
Null space of a matrix example
In today's lecture I work through an example to show you a well-known pitfall when it comes to the null space of a matrix. In the example I show you how to create the special cases and how to use them to represent the null space. There is also a quick look at the NullSpace function in Ma
From playlist Introducing linear algebra
Statistics: Ch 9 Hypothesis Testing (3 of 35) What is the "Null Hypothesis"?
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 The alternative hypothesis gives a different (or alternate) explanation about the product, the design, of the capability that indicat
From playlist STATISTICS CH 9 HYPOTHESIS TESTING
Null Space: Is a Vector in a Null Space? Find a Basis for a Null Space
This video explains how to determine if a vector is in a null space and how to find a basis for a null space.
From playlist Column and Null Space
Empty Graph, Trivial Graph, and the Null Graph | Graph Theory
Whenever we talk about something that is defined by sets, it is important to consider the empty set and how it fits into the definition. In graph theory, empty sets in the definition of a particular graph can bring on three types/categories of graphs. The empty graphs, the trivial graph, a
From playlist Graph Theory
Definitions of null space, injectivity, range, and surjectivity. Fundamental theorem of linear maps. Consequences for systems of linear equations.
From playlist Linear Algebra Done Right
In this video I start to discuss the idea of the null space of a matrix. In these situations, the right-hand side of all the equations in the linear system is equal to zero. There is the trivial solution, where all the elements of the solution is zero. We are more interested in the spec
From playlist Introducing linear algebra
In this video we finish with three more example of calculating the null space of a matrix. These three example help us gain an even deeper insight into the null space by consider how many special cases we will get. Remember that the linear combinations of the special cases give us the nu
From playlist Introducing linear algebra
p Value and Conclusions of Tests
I recently uploaded 200 videos that are much more concise with excellent graphics. Click the link in the upper right-hand corner of this video. It will take you to my youtube channel where videos are arranged in playlists. In this older video: An overview of what a p-value is and how we
From playlist Older Statistics Videos and Other Math Videos
Null Spaces of Powers of an Operator
The behavior of the sequence of null spaces of powers of an operator.
From playlist Linear Algebra Done Right
A Better Way to Think About P-Values
If you have ever read a scientific news article or press release that made a claim about the probability of getting such a result “by chance,” then most likely you have been misled. In this video, I explore the relationship between p-values, the actual rate of false alarms, and various oth
From playlist Summer of Math Exposition Youtube Videos
Linear Algebra 11L1: A Matrix Algebraic Expression for the Null Space
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Introduction to R: T-Tests (Hypothesis Testing)
This is lesson 24 of a 30-part introduction to the R programming language for data analysis and predictive modeling. Link to the code notebook below: Intro to R: Hypothesis Testing https://www.kaggle.com/hamelg/intro-to-r-part-24-Hypothesis-Testing This lesson covers statistical hypothes
From playlist Introduction to R
Davy Paindaveine - Testing for principal component directions under weak identifiability
Professor Davy Paindaveine (Université Libre de Bruxelles) presents “Testing for principal component directions under weak identifiability", 2 October 2020.
From playlist Statistics Across Campuses
Statistical Significance and p-Values Explained Intuitively
If you’ve ever seen a news story about a scientific study, you’ve probably heard something like “statistically significant results.” More likely than not, what this is referring to is a scientific study that found something like p is less than .05. In this video I’m going to do two things
From playlist Summer of Math Exposition Youtube Videos
STAT 200 Lesson 6 Full Lecture Video
***There is an error in the formula for the pooled standard deviation in this video from 17:17 to 27:53. The denominator should be n1+n2-2. For the correct formula and an example, see https://online.stat.psu.edu/stat200/lesson/6/6.4
From playlist STAT 200 Video Lectures
Proof of the Rank-Nullity Theorem, one of the cornerstones of linear algebra. Intuitively, it says that the rank and the nullity of a linear transformation are related: the more vectors T sends to 0, the smaller its range. The proof is especially elegant and uses important concepts in line
From playlist Linear Transformations
Hypothesis Testing and The Null Hypothesis, Clearly Explained!!!
One of the most basic concepts in statistics is hypothesis testing and something called The Null Hypothesis. This video breaks these concepts down into easy to understand pieces so that you can understand their motivation and their uses. By the time you're done with this video, Hypothesis
From playlist StatQuest