In statistics, the mean absolute error (MAE) is a quantity used to measure how close forecasts or predictions are to the eventual outcomes. The mean absolute error is given by
As the name suggests, the mean absolute error is an average of the absolute errors , where is the prediction and the true value. Note that alternative formulations may include relative frequencies as weight factors.
The mean absolute error is a common measure of forecast error in time series analysis, where the terms "mean absolute deviation" is sometimes used in confusion with the more standard definition of mean absolute deviation. The same confusion exists more generally.
Related measures
The mean absolute error is one of a number of ways of comparing forecasts with their eventual outcomes. Well-established alternatives are the mean absolute scaled error (MASE) and the mean squared error. These all summarize performance in ways that disregard the direction of over- or under- prediction; a measure that does place emphasis on this is the mean signed difference.
The approximation error in some data is the discrepancy between an exact value and some approximation to it. An approximation error can occur because
the measurement of the data is not precise due to the instruments. (e.g., the accurate reading of a piece of paper is 4.5cm but since the ruler does not use decimals, you round it to 5cm.) or
approximations are used instead of the real data (e.g., 3.14 instead of π).
One commonly distinguishes between the relative error and the absolute error.
Given some value v and its approximation vapprox, the absolute error is
where the vertical bars denote the absolute value.
If the relative error is
and the percent error is
In words, the absolute error is the magnitude of the difference between the exact value and the approximation. The relative error is the absolute error divided by the magnitude of the exact value. The percent error is the relative error expressed in terms of per 100.
Forecasting
All rights reserved, copyright 2012 Ed Dansereau
published: 14 Dec 2012
Mean absolute deviation | Data and statistics | 6th grade | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation
MAD (mean absolute deviation) helps you get a sense of how "spread out" a data set is. Learn how to compute MAD in this video.
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/e/calculating-the-mean-absolute-deviation--mad-?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation-example?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Missed the previous less...
published: 09 Feb 2015
Machine Learning Tutorial Part 8 | Accuracy(MAE/RMSE) - Python Machine Learning For Beginners
The MAE measures the average magnitude of the errors in a set of forecasts, without considering their direction
The RMSE is a quadratic scoring rule which measures the average magnitude of the error.
For more see https://Vinsloev.com
Interested in machine learning or do you just want to make a recommender system on your own? Then this course is all you need! You will learn how to crawl data(data mining), setup a database for storing data and then use this data to recommend items to the users within your system.
published: 25 Mar 2019
Class 11th – Absolute Error | Unit and Measurements | Tutorials Point
Absolute Error
https://www.tutorialspoint.com/videotutorials/index.htm
Lecture By: Mr. Pradeep Kshetrapal, Tutorials Point India Private Limited
published: 16 Jan 2018
Forecasting: Moving Averages, MAD, MSE, MAPE
This video shows how to calculate Moving Averages, and forecast error measures:
The Mean Absolute Deviation or Error (MAD or MAE)
The Mean Squared Error (MSE)
and the Mean Absolute Percent Error (MAPE)
Moving Averageds in Excel: https://youtu.be/BbkPR1DIjeA
published: 06 Jul 2015
Mean Absolute Deviation ( MAD )
The MAD is the average distance of all of the elements in a data set from the mean of the same data set
You can think of it as how far each piece of information is from the average
If you look at MAD you have the mean which is the average, the absolute value, and deviation.
The MAD indicates how spread out your data set is.
A large MAD indicates a data set more spread out relative to the mean.
A small MAD indicates a data set less spread out relative to the mean.
This video helps with the following Math Standard
MGSE9-12.S.ID.2 Use statistics appropriate to the shape of the data distribution to compare center
(median, mean) and spread (interquartile range, mean absolute deviation, standard deviation) of
two or more different data sets.
You may also enjoy ...
Mean Median Mode and Range
h...
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-s...
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation
MAD (mean absolute deviation) helps you get a sense of how "spread out" a data set is. Learn how to compute MAD in this video.
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/e/calculating-the-mean-absolute-deviation--mad-?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation-example?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th/v/calculating-interquartile-range-iqr?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.)
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy à ªs 6th grade channel:
https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation
MAD (mean absolute deviation) helps you get a sense of how "spread out" a data set is. Learn how to compute MAD in this video.
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/e/calculating-the-mean-absolute-deviation--mad-?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation-example?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th/v/calculating-interquartile-range-iqr?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.)
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy à ªs 6th grade channel:
https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
The MAE measures the average magnitude of the errors in a set of forecasts, without considering their direction
The RMSE is a quadratic scoring rule which measu...
The MAE measures the average magnitude of the errors in a set of forecasts, without considering their direction
The RMSE is a quadratic scoring rule which measures the average magnitude of the error.
For more see https://Vinsloev.com
Interested in machine learning or do you just want to make a recommender system on your own? Then this course is all you need! You will learn how to crawl data(data mining), setup a database for storing data and then use this data to recommend items to the users within your system.
The MAE measures the average magnitude of the errors in a set of forecasts, without considering their direction
The RMSE is a quadratic scoring rule which measures the average magnitude of the error.
For more see https://Vinsloev.com
Interested in machine learning or do you just want to make a recommender system on your own? Then this course is all you need! You will learn how to crawl data(data mining), setup a database for storing data and then use this data to recommend items to the users within your system.
This video shows how to calculate Moving Averages, and forecast error measures:
The Mean Absolute Deviation or Error (MAD or MAE)
The Mean Squared Error (MSE)
...
This video shows how to calculate Moving Averages, and forecast error measures:
The Mean Absolute Deviation or Error (MAD or MAE)
The Mean Squared Error (MSE)
and the Mean Absolute Percent Error (MAPE)
Moving Averageds in Excel: https://youtu.be/BbkPR1DIjeA
This video shows how to calculate Moving Averages, and forecast error measures:
The Mean Absolute Deviation or Error (MAD or MAE)
The Mean Squared Error (MSE)
and the Mean Absolute Percent Error (MAPE)
Moving Averageds in Excel: https://youtu.be/BbkPR1DIjeA
The MAD is the average distance of all of the elements in a data set from the mean of the same data set
You can think of it as how far each piece of information...
The MAD is the average distance of all of the elements in a data set from the mean of the same data set
You can think of it as how far each piece of information is from the average
If you look at MAD you have the mean which is the average, the absolute value, and deviation.
The MAD indicates how spread out your data set is.
A large MAD indicates a data set more spread out relative to the mean.
A small MAD indicates a data set less spread out relative to the mean.
This video helps with the following Math Standard
MGSE9-12.S.ID.2 Use statistics appropriate to the shape of the data distribution to compare center
(median, mean) and spread (interquartile range, mean absolute deviation, standard deviation) of
two or more different data sets.
You may also enjoy ...
Mean Median Mode and Range
https://youtu.be/2N7na6aBvpk
The MAD is the average distance of all of the elements in a data set from the mean of the same data set
You can think of it as how far each piece of information is from the average
If you look at MAD you have the mean which is the average, the absolute value, and deviation.
The MAD indicates how spread out your data set is.
A large MAD indicates a data set more spread out relative to the mean.
A small MAD indicates a data set less spread out relative to the mean.
This video helps with the following Math Standard
MGSE9-12.S.ID.2 Use statistics appropriate to the shape of the data distribution to compare center
(median, mean) and spread (interquartile range, mean absolute deviation, standard deviation) of
two or more different data sets.
You may also enjoy ...
Mean Median Mode and Range
https://youtu.be/2N7na6aBvpk
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation
MAD (mean absolute deviation) helps you get a sense of how "spread out" a data set is. Learn how to compute MAD in this video.
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/e/calculating-the-mean-absolute-deviation--mad-?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation-example?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th/v/calculating-interquartile-range-iqr?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.)
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy à ªs 6th grade channel:
https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
The MAE measures the average magnitude of the errors in a set of forecasts, without considering their direction
The RMSE is a quadratic scoring rule which measures the average magnitude of the error.
For more see https://Vinsloev.com
Interested in machine learning or do you just want to make a recommender system on your own? Then this course is all you need! You will learn how to crawl data(data mining), setup a database for storing data and then use this data to recommend items to the users within your system.
This video shows how to calculate Moving Averages, and forecast error measures:
The Mean Absolute Deviation or Error (MAD or MAE)
The Mean Squared Error (MSE)
and the Mean Absolute Percent Error (MAPE)
Moving Averageds in Excel: https://youtu.be/BbkPR1DIjeA
The MAD is the average distance of all of the elements in a data set from the mean of the same data set
You can think of it as how far each piece of information is from the average
If you look at MAD you have the mean which is the average, the absolute value, and deviation.
The MAD indicates how spread out your data set is.
A large MAD indicates a data set more spread out relative to the mean.
A small MAD indicates a data set less spread out relative to the mean.
This video helps with the following Math Standard
MGSE9-12.S.ID.2 Use statistics appropriate to the shape of the data distribution to compare center
(median, mean) and spread (interquartile range, mean absolute deviation, standard deviation) of
two or more different data sets.
You may also enjoy ...
Mean Median Mode and Range
https://youtu.be/2N7na6aBvpk
In statistics, the mean absolute error (MAE) is a quantity used to measure how close forecasts or predictions are to the eventual outcomes. The mean absolute error is given by
As the name suggests, the mean absolute error is an average of the absolute errors , where is the prediction and the true value. Note that alternative formulations may include relative frequencies as weight factors.
The mean absolute error is a common measure of forecast error in time series analysis, where the terms "mean absolute deviation" is sometimes used in confusion with the more standard definition of mean absolute deviation. The same confusion exists more generally.
Related measures
The mean absolute error is one of a number of ways of comparing forecasts with their eventual outcomes. Well-established alternatives are the mean absolute scaled error (MASE) and the mean squared error. These all summarize performance in ways that disregard the direction of over- or under- prediction; a measure that does place emphasis on this is the mean signed difference.