Statistical inference | Sampling (statistics)

Sampling distribution

In statistics, a sampling distribution or finite-sample distribution is the probability distribution of a given random-sample-based statistic. If an arbitrarily large number of samples, each involving multiple observations (data points), were separately used in order to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample, then the sampling distribution is the probability distribution of the values that the statistic takes on. In many contexts, only one sample is observed, but the sampling distribution can be found theoretically. Sampling distributions are important in statistics because they provide a major simplification en route to statistical inference. More specifically, they allow analytical considerations to be based on the probability distribution of a statistic, rather than on the joint probability distribution of all the individual sample values. (Wikipedia).

Video thumbnail

What is a Sampling Distribution?

Intro to sampling distributions. What is a sampling distribution? What is the mean of the sampling distribution of the mean? Check out my e-book, Sampling in Statistics, which covers everything you need to know to find samples with more than 20 different techniques: https://prof-essa.creat

From playlist Probability Distributions

Video thumbnail

Sampling Distribution of the PROPORTION: Friends of P (12-2)

The sampling distribution of the proportion is the probability distribution of all possible values of the sample proportions. It is analogous to the Distribution of Sample Means. When the sample size is large enough, the sampling distribution of the proportion can be approximated by a norm

From playlist Sampling Distributions in Statistics (WK 12 - QBA 237)

Video thumbnail

Sampling Distributions of Means

This is an old video. See StatsMrR.com for access to hundreds of 1-3 minute, well-produced videos for learning Statistics. In this older video: Understanding and working with sampling distributions of means. Calculating the mean and standard deviation and the probability associated with

From playlist Older Statistics Videos and Other Math Videos

Video thumbnail

Conditions Required to Use Normal to Approximate Sample Proportions

Sample proportions, like binomial successes, are discrete. As long as large samples are taken so np and n(1-p) are both at least 10, a continuous normal distribution yields an acceptable approximation of the probabilities associated with a sample proportion distribution.

From playlist Unit 7 Probability C: Sampling Distributions & Simulation

Video thumbnail

The Normal Distribution (1 of 3: Introductory definition)

More resources available at www.misterwootube.com

From playlist The Normal Distribution

Video thumbnail

How to Choose a SAMPLING Method (12-7)

When possible, use probability sampling methods, such as simple random, stratified, cluster, or systematic sampling.

From playlist Sampling Distributions in Statistics (WK 12 - QBA 237)

Video thumbnail

Intro to Sample Proportions

An overview and introduction to understanding sampling distributions of proportions [sample proportions] and how to calculate them

From playlist Unit 7 Probability C: Sampling Distributions & Simulation

Video thumbnail

Different Sampling Methods

An overview of the most popular sampling methods used in statistics. Check out my e-book, Sampling in Statistics, which covers everything you need to know to find samples with more than 20 different techniques: https://prof-essa.creator-spring.com/listing/sampling-in-statistics

From playlist Sampling

Video thumbnail

Statistics - Types of sampling

This video will show you the many ways that you could sample. Remember to look for those small differences such as if you are breaking things into groups first. For more videos visit http://www.mysecretmathtutor.com

From playlist Statistics

Video thumbnail

Central Limit Theorem - Sampling Distribution of Sample Means - Stats & Probability

This statistics video tutorial provides a basic introduction into the central limit theorem. It explains that a sampling distribution of sample means will form the shape of a normal distribution regardless of the shape of the population distribution if a large enough sample is taken from

From playlist Statistics

Video thumbnail

STAT 200 Lesson 4 Lecture

0:15 - Review 2:29 - Learning objectives 2:48 - 1. Construct and interpret sampling distributions using StatKey 3:36 - StatKey 10:42 - Review of terms 12:12 - 2. Explain the general form of a confidence interval 16:59 - 3. Interpret a confidence interval 23:47 - 4. Explain the

From playlist STAT 200 Video Lectures

Video thumbnail

Lec 6 | MIT 2.830J Control of Manufacturing Processes, S08

Lecture 6: Sampling distributions and statistical hypotheses Instructor: Duane Boning, David Hardt View the complete course at: http://ocw.mit.edu/2-830JS08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 2.830J, Control of Manufacturing Processes S08

Video thumbnail

Central Limit Theorem and the Distribution of Sample Means in Business Statistics (Week 11D)

Description Using our new sampling techniques, we now have dozens of samples from our population, but how can we use them to estimate the population mean? We can create a sampling distribution of the means from each sample, and with the central limit theorem, we learn something remarkable:

From playlist Basic Business Statistics (QBA 237 - Missouri State University)

Video thumbnail

05-5 Inverse modeling : sequential importance re-sampling

Introduction to sequential importance resampling

From playlist QUSS GS 260

Video thumbnail

Brief Introduction to Probability and Simulation: Part 3 - Elaine Spiller

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

Video thumbnail

The Central Limit Theorem – With Examples in Python

In today's video, I empirically demonstrate the central limit theorem using Python, and briefly cover its importance to data science. Hand-On example available as a GitHub Gist at: http://bit.ly/JKcentral Dr. Jon Krohn is Chief Data Scientist at untapt, and the #1 Bestselling author of De

From playlist Talks and Tutorials

Video thumbnail

Excel Statistical Analysis 37: Learn Central Limit Theorem by Building Sampling Distribution of Xbar

Download Excel File: https://excelisfun.net/files/Ch07-ESA.xlsm PDF notes file: https://excelisfun.net/files/Ch07-ESA.pdf Learn about one of the most power rules in statistics: the Central Limit Theorem by building a Sampling Distribution of Sample Means (Xbar). Learn how to calculate the

From playlist Excel Statistical Analysis for Business Class Playlist of Videos from excelisfun

Video thumbnail

Sampling distribution parameters

How to calculate the mean, standard deviation and variance of sampling distributions for the sample mean, proportion and variance.

From playlist Exam 1 material

Video thumbnail

Gibbs Sampling : Data Science Concepts

Another MCMC Method. Gibbs sampling is great for multivariate distributions where conditional densities are *easy* to sample from. To emphasize a point in the video: - First sample is (x0,y0) - Next Sample is (x1,y1) - Next Sample is (x2,y2) ... That is, we update *all* variables once

From playlist Bayesian Statistics

Related pages

Statistics | Sample mean | Bootstrapping (statistics) | Statistical population | Central limit theorem | Median | Student's t-distribution | Asymptotic distribution | Pivotal quantity | Statistical inference | Variance | Closed-form expression | Joint probability distribution | Probability distribution | Normal distribution | Standard deviation | Arithmetic mean | Random variable | Binomial distribution | Statistic | Bernoulli distribution