Directional statistics | Statistical data types | Statistical theory | Types of probability distributions
Directional statistics (also circular statistics or spherical statistics) is the subdiscipline of statistics that deals with directions (unit vectors in Euclidean space, Rn), axes (lines through the origin in Rn) or rotations in Rn. More generally, directional statistics deals with observations on compact Riemannian manifolds including the Stiefel manifold. The fact that 0 degrees and 360 degrees are identical angles, so that for example 180 degrees is not a sensible mean of 2 degrees and 358 degrees, provides one illustration that special statistical methods are required for the analysis of some types of data (in this case, angular data). Other examples of data that may be regarded as directional include statistics involving temporal periods (e.g. time of day, week, month, year, etc.), compass directions, dihedral angles in molecules, orientations, rotations and so on. (Wikipedia).
Multivariable Calculus | The gradient and directional derivatives.
We define the gradient of a function and show how it is helpful in finding the directional derivative. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Directional derivative of f(x,y)
Free ebook http://tinyurl.com/EngMathYT I present an example where I calculate the derivative of a function of two variables in a particular direction. In particular, I take the derivative of $f(x,y) := 1 - x^2/2 - y^4/4$ in the direction of the vector ${\bf u} := (1,1)$. I solve the
From playlist Engineering Mathematics
This video explains how to determine mean, median and mode. It also provided examples. http://mathispower4u.yolasite.com/
From playlist Statistics: Describing Data
11_5_1 Directional Derivative of a Multivariable Function Part 1
Understanding that a partial derivative refers to a rate of change in the direction of a certain axis, we now look at the rate of change in any direction. The direction is indicated by a unit vector, in other words it has a dimension of one and is therefore only its direction is important
From playlist Advanced Calculus / Multivariable Calculus
Determining Velocity, Speed, and Acceleration Using a Vector Valued Function
This video explains how to determine the velocity, speed, and acceleration given a vector valued function. http://mathispower4u.yolasite.com/
From playlist Vector Valued Function
Introduction to standard deviation, IQR [Inter-Quartile Range], and range
From playlist Unit 1: Descriptive Statistics
http://mathispower4u.wordpress.com/
From playlist Functions of Several Variables - Calculus
Statistics Lecture 3.3: Finding the Standard Deviation of a Data Set
https://www.patreon.com/ProfessorLeonard Statistics Lecture 3.3: Finding the Standard Deviation of a Data Set
From playlist Statistics (Full Length Videos)
This video introduces vectors and vector vocabulary. Search all videos at http://mathispower4u.wordpress.com/
From playlist Vectors in 2D
Efficiently Learning Mixtures of Gaussians - Ankur Moitra
Efficiently Learning Mixtures of Gaussians Ankur Moitra Massachusetts Institute of Technology January 18, 2011 Given data drawn from a mixture of multivariate Gaussians, a basic problem is to accurately estimate the mixture parameters. We provide a polynomial-time algorithm for this proble
From playlist Mathematics
Nexus Trimester - Ioannis Kontoyiannis (Athens U of Econ & Business)
Testing temporal causality and estimating directed information Ioannis Kontoyiannis (Athens U of Econ & Business) March 18, 2016 Abstract: The problem of estimating the directed information rate between two Markov chains of arbitrary (but finite) order is considered. Specifically for the
From playlist 2016-T1 - Nexus of Information and Computation Theory - CEB Trimester
Subject- vs. group-level analyses
This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.
From playlist NEW ANTS #5) Permutation-based statistics
Choosing a Test, Hypothesis, and Level of Significance for Hypothesis testing (Steps 1-3) (Week 14C)
In the first step of hypothesis testing we choose the test we will use by examining the level of the data. Next, based on that test, we establish a null and alternative hypothesis. Third, we determine a criteria by which we will determine statistical significance. Lecture date: Tuesday,
From playlist Basic Business Statistics (QBA 237 - Missouri State University)
DIRECTIONAL vs. Non-Directional Alternative Hypothesis: One or Two Tails (14-7)
In Step 2, we established an alternative hypothesis. Alternative hypotheses can be either directional or non-directional. Direction refers to the direction that the Dependent Variable (DV) changes. A one-tailed test is used when you predict both the relationship and the direction of change
From playlist Hypothesis Testing Introduction WK 14 QBA 237
One Sample z Test Framework with Social Media Example (15-2)
The one sample z test is a parametric procedure that tests whether a single sample mean is significantly different than a population mean when the standard deviation of the population (σ) is KNOWN. We will learn the research design for the IV and DV, the assumptions for the test, how to se
From playlist Single-Sample Hypothesis Tests (z, t, & p) - WK 15 QBA 237
Professor Gareth Roberts: "New challenges in Computational Statistics"
The Turing Lectures: Statistics - Professor Gareth Roberts, University of Warwick “New challenges in Computational Statistics” Click the below timestamps to navigate the video. 00:00:09 Welcome by Professor Patrick Wolfe 00:01:44 Introduction by Professor Sofia Olhede 00:03:2
From playlist Turing Lectures
Assumptions: Spotting SKEWNESS in a Distribution (6-2)
Skewness is a measure of the imbalance or asymmetry of a data distribution. The skewness value can be positive, zero, negative, or undefined. Skewness can be caused when outliers exist on one end of a distribution and pull the mean toward the outlier. The skew is in the tail of the distrib
From playlist Depicting Distributions from Boxplots to z-Scores (WK 6 QBA 237)
The Null Hypothesis and Alternative Hypothesis in Statistics Testing
We explore the null and alternative hypothesis used in significance testing. I explain how the null hypothesis is created and then how to follow with either a directional or non-directional (one-tailed vs. two-tailed) alternative hypothesis. You get some practice identifying and creating b
From playlist Business Statistics Lectures (FA2020, QBA337 @ MSU)
Calculus 3 Lecture 13.6: Finding Directional Derivatives and Gradients
Calculus 3 Lecture 13.6: Finding Directional Derivatives and Gradients: How to find a Directional Derivative along the path of any given vector. Also, an introduction to the Gradient and some basics on how it is used.
From playlist Calculus 3 (Full Length Videos)