Scale statistics | Robust statistics | Statistical deviation and dispersion

Robust measures of scale

In statistics, robust measures of scale are methods that quantify the statistical dispersion in a sample of numerical data while resisting outliers. The most common such robust statistics are the interquartile range (IQR) and the median absolute deviation (MAD). These are contrasted with conventional or non-robust measures of scale, such as sample variance or standard deviation, which are greatly influenced by outliers. These robust statistics are particularly used as estimators of a scale parameter, and have the advantages of both robustness and superior efficiency on contaminated data, at the cost of inferior efficiency on clean data from distributions such as the normal distribution. To illustrate robustness, the standard deviation can be made arbitrarily large by increasing exactly one observation (it has a breakdown point of 0, as it can be contaminated by a single point), a defect that is not shared by robust statistics. (Wikipedia).

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Scale Factor

This video shows how to use scale to determine the dimensions of a proportional model. http://mathispower4u.yolasite.com/

From playlist Unit Scale and Scale Factor

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Unit Scale

This video shows how to use unit scale to determine the actual dimensions of a model and how to determine the dimensions of a model from an actual dimensions. http://mathispower4u.yolasite.com/

From playlist Unit Scale and Scale Factor

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Ex: Determine the Value of a Number on a Logarithmic Scale (Log Form)

This video explains how to determine the value of several numbers on a logarithmic scale scaled in logarithmic form. http://mathispower4u.com

From playlist Using the Definition of a Logarithm

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Percentiles, Deciles, Quartiles

Understanding percentiles, quartiles, and deciles through definitions and examples

From playlist Unit 1: Descriptive Statistics

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What is a Scale Variable?

Definition of scale variable for SPSS, psychology/behavioral science & finance.

From playlist Types of Variables

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21 Spatial Data Analytics: Spatial Scale

Subsurface modeling course lecture on scale.

From playlist Spatial Data Analytics and Modeling

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Scales of Measurement - Nominal, Ordinal, Interval, & Ratio Scale Data

This statistics video tutorial provides a basic introduction into the different forms of scales of measurement such as nominal, ordinal, interval, and ratio scale data. My Website: https://www.video-tutor.net Patreon Donations: https://www.patreon.com/MathScienceTutor Amazon Store: htt

From playlist Statistics

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More Standard Deviation and Variance

Further explanations and examples of standard deviation and variance

From playlist Unit 1: Descriptive Statistics

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Pierre Alliez : Robust shape reconstruction through optimal transportation

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Numerical Analysis and Scientific Computing

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Luis Scoccola (12/5/21): Density-sensitive and robust Vietoris-Rips filtrations

The Vietoris-Rips (VR) filtration is 1-Lipschitz with respect to the Gromov-Hausdorff distance. Although useful in many applications, this type of result presents two difficulties: VR cannot distinguish datasets that are metrically similar but whose density structure is significantly diffe

From playlist Vietoris-Rips Seminar

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Michael Lesnick (2/23/2022): Stability of 2-Parameter Persistent Homology

We show that the standard stability results for union-of-balls, Čech, and Rips persistent homology have natural analogues in the 2-parameter setting, formulated in terms of the multicover bifiltration and Sheehy's subdivision bifiltrations. Our results imply that these bifiltrations are r

From playlist AATRN 2022

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Self-organized formation of topologically robust grid cell modules from smooth.. by Sarthak Chandra

DISCUSSION MEETING NEUROSCIENCE, DATA SCIENCE AND DYNAMICS (ONLINE) ORGANIZERS: Amit Apte (IISER-Pune, India), Neelima Gupte (IIT-Madras, India) and Ramakrishna Ramaswamy (IIT-Delhi, India) DATE : 07 February 2022 to 10 February 2022 VENUE: Online This discussion meeting on Neuroscien

From playlist Neuroscience, Data Science and Dynamics (ONLINE)

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Many ways to lose your mind: Dimensions of robustness in noisy ... by Upi Bhalla

Information processing in biological systems URL: https://www.icts.res.in/discussion_meeting/ipbs2016/ DATES: Monday 04 Jan, 2016 - Thursday 07 Jan, 2016 VENUE: ICTS campus, Bangalore From the level of networks of genes and proteins to the embryonic and neural levels, information at var

From playlist Information processing in biological systems

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Measurement Science in Stem Cell Research and Applications in Regenerative Medicine

Dr. Anne Plant, NIST speaks at the 2015 workshop "Characterizing Cell Populations through Dynamic Quantitative Imaging and Molecular Analysis: Challenges and Opportunities in Regenerative Medicine, Cell Therapy and Stem Cell Research"

From playlist UCSF-Stanford CERSI Lecture Series

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StatGeoChem session 4 Outliers

Identification of outliers in multi-variate data

From playlist Statistical Geochemistry

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Lecture 19: Modeling and Reverse Engineering

MIT HST.512 Genomic Medicine, Spring 2004 Instructor: Dr. Zoltan Szallasi View the complete course: https://ocw.mit.edu/courses/hst-512-genomic-medicine-spring-2004/ YouTube Playlist: https://www.youtube.com/watch?v=_-gQchCLmXk&list=PLUl4u3cNGP613PJMNmRjAIdBr76goU1V5 Modeling and what mo

From playlist MIT HST.512 Genomic Medicine, Spring 2004

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Micrometer/diameter of daily used objects.

What was the diameter? music: https://www.bensound.com/

From playlist Fine Measurements

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A Compressed Overview of Sparsity

This talk presents a high level overview of compressed sensing, especially as it relates to engineering applied mathematics. We provide context for sparsity and compression, followed by good rules of thumb and key ingredients to apply compressed sensing.

From playlist Research Abstracts from Brunton Lab

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Measures of Center

This video is about the measures of center, including the mean, median, and mode.

From playlist Statistical Measures

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Dr Nick Polydorides - University of Edinburgh

Bio Nick Polydorides is a Senior Lecturer in the Institute for Digital Communications, at the School of Engineering at Edinburgh University. He was joined Edinburgh in fall 2013 from the MIT-established Cyprus Institute where he was an Assistant Professor. Prior to that he held postdoctor

From playlist Short Talks

Related pages

Monte Carlo method | Interdecile range | Skewness | Percentile | Indicator function | Statistics | Population variance | Statistical dispersion | Bootstrapping (statistics) | Location parameter | Estimator | Efficiency (statistics) | Median absolute deviation | Outlier | Trimmed estimator | Confidence interval | Heavy-tailed distribution | Mixture distribution | Interquartile range | Median | L-estimator | Range (statistics) | Scale parameter | Truncated mean | Variance | Robust statistics | Normal distribution | Standard deviation | Scale factor | Cauchy distribution | Expected value | Consistent estimator | Interval scale