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Related Concept Videos

Standard Deviation01:10

Standard Deviation

26.5K
The most commonly used measure of variation is the standard deviation. It is a numerical value measuring how far data values are from their mean. The standard deviation value is small when the data are concentrated close to the mean, exhibiting slight variation or spread. The standard deviation value is never negative, it is either positive or zero. The standard deviation is larger when the data values are more spread out from the mean, which means the data values are exhibiting more variation.
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Mean Absolute Deviation01:13

Mean Absolute Deviation

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The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data values and the mean.
Let us consider a dataset containing the number of unsold cupcakes in five shops: 10, 15, 8, 7, and 10. Initially, calculate the sample mean. Then calculate the deviation, or the difference, between each data value and the mean. Next, the absolute values of these deviations are added and divided by the sample size to...
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Standard Deviation of Calculated Results01:14

Standard Deviation of Calculated Results

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Standard deviation measures the spread of data around the mean value. Many large data sets follow a Gaussian distribution, also known as a normal distribution. This distribution is bell-shaped curved, with the most frequently observed value (mean or central value) in the middle. The farther away from the central value, the greater the deviation from the central value, and the lower the frequency.
A broad Gaussian distribution curve has a wider standard deviation, representing a data set with...
8.1K
Variation01:19

Variation

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An important characteristic of any set of data is the variation in the data. In some data sets, the data values are concentrated closely near the mean; in other data sets, the data values are more widely spread out from the mean. The most common measure of variation, or spread, is the standard deviation, which is the square root of variance.
When independent and dependent variables are plotted on a scatter plot, the slope of a line is a value that describes the rate of change between the two...
7.7K
Testing a Claim about Standard Deviation01:19

Testing a Claim about Standard Deviation

2.8K
A complete procedure to test a claim about population standard deviation or population variance is explained here.
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...
2.8K
Range Rule of Thumb to Interpret Standard Deviation01:13

Range Rule of Thumb to Interpret Standard Deviation

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The range rule of thumb in statistics helps us calculate a dataset's minimum and maximum values with known standard deviation. This rule is based on the concept that 95% of all values in a dataset lie within two standard deviations from the mean.
For instance, the range rule of thumb can be used to find the tallest and the shortest student in a class, given the mean student height and standard deviation. If the mean student height is 1.6 m and the standard deviation, s is 0.05 m, the height...
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RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans
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Transition Activity Recognition System based on Standard Deviation Trend Analysis.

Junhao Shi1, Decheng Zuo1, Zhan Zhang1

  • 1Department of Computer Science and Technology, Harbin Institute of Technology, Heilongjiang 150001, China.

Sensors (Basel, Switzerland)
|June 4, 2020
PubMed
Summary
This summary is machine-generated.

This study introduces a new algorithm for recognizing transition activities in human activity recognition (HAR) using standard deviation trend analysis (STD-TA). The novel method achieves over 80% accuracy on real-world data, improving upon existing HAR systems.

Keywords:
SVMhuman activity recognitionsmartphonetransition activitytrend analysis

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Area of Science:

  • Computer Science
  • Engineering
  • Signal Processing

Background:

  • Sensor-based human activity recognition (HAR) is increasingly prevalent due to advancements in micro-electromechanical systems (MEMS) and smartphones.
  • Existing HAR systems often struggle with accurately identifying transition activities, the brief periods between distinct actions.

Purpose of the Study:

  • To develop and evaluate a novel algorithm for the accurate recognition of transition activities in HAR.
  • To address the limitations of current HAR methods that do not specifically handle transitional phases.

Main Methods:

  • The study proposes a new algorithm based on standard deviation trend analysis (STD-TA).
  • This method specifically targets the identification of transition activities, differentiating them from basic activities.

Main Results:

  • The proposed STD-TA algorithm demonstrates superior performance in recognizing transition activities.
  • The system achieved an overall accuracy exceeding 80% when tested on real-world data.

Conclusions:

  • The STD-TA algorithm offers a significant improvement for HAR systems by accurately identifying transition activities.
  • This approach enhances the overall performance and robustness of sensor-based human activity recognition.