Angular Deviation
Angular Deviation - Related Videos
09:33
Angular Momentum
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2023
Source: Nicholas Timmons, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA Angular momentum is defined as the product of the moment of inertia and the angular velocity of the object. Like its linear analog, angular momentum is conserved, meaning that the total angular momentum of a system will not change if there are no external torques on the system. A torque is the rotational equivalent of a force. Because it is a...
01:10
Standard Deviation
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2023
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...
01:27
Standard Deviation
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2024
Standard Deviation Standard deviation is a statistical measure quantifying the degree of variation or dispersion in a set of values. It is particularly useful in finance for assessing the volatility and risk associated with investment returns. By calculating the standard deviation, investors can gain a clearer understanding of how much an investment's returns deviate from the mean return over a given period, thus providing insight into the investment's overall risk profile. To compute the...
01:13
Mean Absolute Deviation
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2023
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...
02:32
Variation: Normal Distribution, Range, and Standard Deviation
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2020
In the field of psychology, there are several ways to organize measurements of a trait, feature, or characteristic (i.e., variables). Qualitative data, such as ethnicity, can be tabulated into a frequency count to provide information about the proportion, as well as the variety of groups in a sample or population. On the other hand, researchers can perform a wider set of calculations on quantitative data. The mean, mode, and median, for instance, are central tendency measures to identify a...
FAQs
Measurement depends on selecting a reference line that represents the structure’s expected axis and comparing it with the observed orientation. The resulting angle expresses how far alignment has changed, allowing clinicians to describe the deviation quantitatively rather than relying only on visual judgment. This makes serial assessment and treatment planning more consistent.
In bone, the key mechanical consequence is a changed mechanical axis. When that axis shifts, forces may be redistributed across adjacent joints instead of passing through their expected pathway. The clinical importance is not limited to the measured angle: altered loading can help explain changes in movement, stability, or long-term joint function.
Angular deviation can have different clinical contexts, including a fracture, a growth-related deformity, or alignment after surgery. The same measurement therefore answers different questions: whether an injury has left misalignment, whether development has altered the axis, or whether an intervention achieved the intended correction. Context determines how the angle informs management.
Clinicians may assess alignment through physical examination or radiographic imaging. In either approach, the observed orientation is related to a reference line, and the angle is recorded for interpretation. Imaging is especially relevant when internal bony alignment must be evaluated, while examination provides a clinical assessment of the structure’s orientation and related functional changes.
For fractures, the measurement helps determine whether the bone remains misaligned and supports decisions about treatment. In growth-related deformities, it documents how development has changed alignment. After surgery, the same metric helps evaluate postoperative position. These uses connect one quantitative observation to diagnosis, correction planning, and follow-up across different clinical situations.
Before corrective treatment, angular deviation can contribute to surgical planning by showing the alignment that must be addressed. After treatment, repeated measurements help monitor correction or healing rather than relying on a single assessment. Tracking the angle gives clinicians an objective way to judge whether alignment is improving and whether the intended result is being maintained.