In statistics, best linear unbiased prediction (BLUP) is used in linear mixed models for the estimation of random effects. BLUP was derived by Charles Roy Henderson in 1950 but the term "best linear unbiased predictor" (or "prediction") seems not to have been used until 1962. "Best linear unbiased predictions" (BLUPs) of random effects are similar to best linear unbiased estimates (BLUEs) (see Gauss–Markov theorem) of fixed effects. The distinction arises because it is conventional to talk not about estimating fixed effects but rather about predicting random effects, but the two terms are otherwise equivalent. (This is a bit strange since the random effects have already been "realized"; they already exist. The use of the term "prediction" may be because in the field of animal breeding in which Henderson worked, the random effects were usually genetic merit, which could be used to predict the quality of offspring (Robinson page 28)). However, the equations for the "fixed" effects and for the random effects are different. In practice, it is often the case that the parameters associated with the random effect(s) term(s) are unknown; these parameters are the variances of the random effects and residuals. Typically the parameters are estimated and plugged into the predictor, leading to the (EBLUP). Notice that by simply plugging in the estimated parameter into the predictor, additional variability is unaccounted for, leading to overly optimistic prediction variances for the EBLUP. Best linear unbiased predictions are similar to empirical Bayes estimates of random effects in linear mixed models, except that in the latter case, where weights depend on unknown values of components of variance, these unknown variances are replaced by sample-based estimates. (Wikipedia).
How to find the line that best fits points, including when you want to weigh some points less than others. Regression line. Least-squares regression. Note: There's a typo at the end of the video: You also have to premultiply b by your matrix with 1/2 Check out my Orthogonality playlist:
From playlist Orthogonality
How to Make Predictions in Regression Analysis
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From playlist Statistics
Least squares method for simple linear regression
In this video I show you how to derive the equations for the coefficients of the simple linear regression line. The least squares method for the simple linear regression line, requires the calculation of the intercept and the slope, commonly written as beta-sub-zero and beta-sub-one. Deriv
From playlist Machine learning
[Machine Learning] Linear Regression using Least Square Error, Gradient Descent
Short Tutorial to understand Linear Regression. This explains linear regression with least square error, gradient decent, cost function and objective function. all machine learning youtube videos from me, https://www.youtube.com/playlist?list=PLVNY1HnUlO26x597OgAN8TCgGTiE-38D6
From playlist Machine Learning
An Introduction to Linear Regression Analysis
Tutorial introducing the idea of linear regression analysis and the least square method. Typically used in a statistics class. Playlist on Linear Regression http://www.youtube.com/course?list=ECF596A4043DBEAE9C Like us on: http://www.facebook.com/PartyMoreStudyLess Created by David Lon
From playlist Linear Regression.
what is linear and non linear in machine learning, deep learning
what is linear and non linear in machine learning and deep learning? you will have clear understanding after watching this video. all machine learning youtube videos from me, https://www.youtube.com/playlist?list=PLVNY1HnUlO26x597OgAN8TCgGTiE-38D6
From playlist Machine Learning
Kalman filtering - Lakshmivarahan
PROGRAM: Data Assimilation Research Program Venue: Centre for Applicable Mathematics-TIFR and Indian Institute of Science Dates: 04 - 23 July, 2011 DESCRIPTION: Data assimilation (DA) is a powerful and versatile method for combining observational data of a system with its dynamical mod
From playlist Data Assimilation Research Program
Deep Learning Lecture 2.4 - Statistical Estimator Theory
Deep Learning Lecture - Estimator Theory 3: - Statistical Estimator Theory - Bias, Variance and Noise - Results for Linear Least Square Regression
From playlist Deep Learning Lecture
Linear regression is used to compare sets or pairs of numerical data points. We use it to find a correlation between variables.
From playlist Learning medical statistics with python and Jupyter notebooks
Average Treatment Effects: Confounding
Professor Stefan Wager on confounding and regression adjustments. Comparison of regression adjustments done via OLS versus generic machine learning.
From playlist Machine Learning & Causal Inference: A Short Course
How to calculate linear regression using least square method
An example of how to calculate linear regression line using least squares. A step by step tutorial showing how to develop a linear regression equation. Use of colors and animations. Like us on: http://www.facebook.com/PartyMoreStudyLess Related Videos Playlist on Regression http://www.y
From playlist Linear Regression.
Applied Machine Learning: Secret Sauce
Professor Jann Spiess shares the secret sauce of applied machine learning.
From playlist Machine Learning & Causal Inference: A Short Course
Simple Linear Regression (Part C)
Regression Analysis by Dr. Soumen Maity,Department of Mathematics,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Regression Analysis | CosmoLearning.org Mathematics
Multiple Linear Regression (Part D)
Regression Analysis by Dr. Soumen Maity,Department of Mathematics,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Regression Analysis | CosmoLearning.org Mathematics
Cross Validation in Scikit Learn
This is the big one. We go over cross validation and other techniques to split your data. VERY IMPORTANT. We talk about cross validated scoring and prediction and then we talk about scikit learn cross validation iterators: K-fold, stratified fold, grouped data, and time series split. Asso
From playlist A Bit of Data Science and Scikit Learn
Lecture 9A : Overview of ways to improve generalization
Neural Networks for Machine Learning by Geoffrey Hinton [Coursera 2013] Lecture 9A : Overview of ways to improve generalization
From playlist Neural Networks for Machine Learning by Professor Geoffrey Hinton [Complete]
Lecture 9.1 — Overview of ways to improve generalization [Neural Networks for Machine Learning]
Lecture from the course Neural Networks for Machine Learning, as taught by Geoffrey Hinton (University of Toronto) on Coursera in 2012. Link to the course (login required): https://class.coursera.org/neuralnets-2012-001
From playlist [Coursera] Neural Networks for Machine Learning — Geoffrey Hinton
Determining if equations are linear - Free Math Videos - Online Tutor
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c
From playlist Write Linear Equations