Sampling (statistics) | Errors and residuals

Sampling error

In statistics, sampling errors are incurred when the statistical characteristics of a population are estimated from a subset, or sample, of that population. Since the sample does not include all members of the population, statistics of the sample (often known as estimators), such as means and quartiles, generally differ from the statistics of the entire population (known as parameters). The difference between the sample statistic and population parameter is considered the sampling error. For example, if one measures the height of a thousand individuals from a population of one million, the average height of the thousand is typically not the same as the average height of all one million people in the country. Since sampling is almost always done to estimate population parameters that are unknown, by definition exact measurement of the sampling errors will not be possible; however they can often be estimated, either by general methods such as bootstrapping, or by specific methods incorporating some assumptions (or guesses) regarding the true population distribution and parameters thereof. (Wikipedia).

Video thumbnail

Sampling ERROR and Squishy Measurements (12-8)

Sampling error is the difference between a sample statistic and its corresponding population parameter due to weaknesses in the randomness of sampling. Non-sampling error is the difference between a sample statistic and its corresponding population parameter due other factors. It may be ca

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

Video thumbnail

Statistics: Sampling Methods

This lesson introduces the different sample methods when conducting a poll or survey. Site: http://mathispower4u.com

From playlist Introduction to Statistics

Video thumbnail

Standard Error of the Mean: Let’s Talk About SEx (12-1)

The Standard error of the mean is the average variability between the sample mean and the population mean that is reasonable to expect simply by chance. It is to the Distribution of Sample Means what the standard deviation is to a single mean of a sample. As sample size increases, the stan

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

Video thumbnail

Statistics: Ch 7 Sample Variability (11 of 14) What is "The Standard Error of the Mean"?

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 What is “the standard error of the mean”? It is the standard deviation (of the sampling distribution) of the sample means. Previous

From playlist STATISTICS CH 7 SAMPLE VARIABILILTY

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

Systematic and Random Error

Comparison of systematic and random error. Types of systematic error, including offset error and scale factor error/

From playlist Experimental Design

Video thumbnail

Random and systematic error explained: from fizzics.org

In scientific experiments and measurement it is almost never possible to be absolutely accurate. We tend to make two types of error, these are either random or systematic. The video uses examples to explain the difference and the first steps you might take to reduce them. Notes to support

From playlist Units of measurement

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

Statistics: Sources of Bias

This lesson reviews sources of bias when conducting a survey or poll. Site: http://mathispower4u.com

From playlist Introduction to Statistics

Video thumbnail

Power and Type II Error

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: understanding Power and Type II Error and be

From playlist Older Statistics Videos and Other Math Videos

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

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

The Standard Error of the Mean for Sampling in Business Statistics (Week 12A)

The standard error of the mean measures the average amount of variability between the sample mean and the population mean that is reasonable to expect simply by chance. Using Excel, we demonstrate how a sample size of 30 or more minimizes the standard error. We wrap up using the ICU datase

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

Video thumbnail

Guinness, Student, and the History of t Tests (10-1)

We concluded our lesson on z tests with the sad realization that z tests rarely get used in the real world. Instead of using a z test we compare samples to populations using a t test. William Sealy Gosset, a master brewer and a scientist at the Guinness brewery in Dublin, Ireland solved th

From playlist WK10 One Sample t Tests - Online Statistics for the Flipped Classroom

Video thumbnail

Chapter 7.2: Estimating a Population Mean and Sample Size (sigma known)

Chapter 7.2 from "Introduction to Statistics, Think & Do" by Scott Stevens (http://www.StevensStats.com) Textbook from Publisher, $29.95 print, $9.95 PDF http://www.centerofmathematics.com/wwcomstore/index.php/thinkdov4-1.html Textbook from Amazon: https://amzn.to/2zJRCjL

From playlist Statistics Lecture Videos

Video thumbnail

Recent advances in high dimensional robust statistics - Daniel Kane

Computer Science/Discrete Mathematics Seminar I Topic: Recent advances in high dimensional robust statistics Speaker: Daniel Kane, University of California, San Diego Date: December 11, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

8. Sampling and Standard Error

MIT 6.0002 Introduction to Computational Thinking and Data Science, Fall 2016 View the complete course: http://ocw.mit.edu/6-0002F16 Instructor: John Guttag Prof. Guttag discusses sampling and how to approach and analyze real data. License: Creative Commons BY-NC-SA More information at h

From playlist MIT 6.0002 Introduction to Computational Thinking and Data Science, Fall 2016

Video thumbnail

Chapter 7.3: Estimating a Population Proportion and Sample Size

Chapter 7.3 from "Introduction to Statistics, Think & Do" by Scott Stevens (http://www.StevensStats.com) Textbook from Publisher, $29.95 print, $9.95 PDF http://www.centerofmathematics.com/wwcomstore/index.php/thinkdov4-1.html Textbook from Amazon: https://amzn.to/2zJRCjL

From playlist Statistics Lecture Videos

Video thumbnail

Uncertainty propagation b: Sample estimates

(C) 2012-2013 David Liao (lookatphysics.com) CC-BY-SA Standard deviation vs. sample standard deviation Mean vs. sample mean Standard deviation of the mean vs. standard error of the mean Rule of thumb for thinking about whether error bars overlap

From playlist Probability, statistics, and stochastic processes

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

Related pages

Sample size determination | Ratio estimator | Standard error | Sampling (statistics) | Propagation of uncertainty | Statistical parameter | Margin of error | Sampling bias | Statistics | Statistical population | Bootstrapping (statistics) | Probability | Estimator | Errors and residuals