Modification of Tukey’s smoothing techniques for extreme data
Two Tukey’s techniques which are resistant line for linear trend and resistant smoothing for non linear trend have been reviewed in this research. The new resistant line for method of dividing the batches using range dealing with ties and non ties is recommended. The determination of sample size...
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| Main Author: | |
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| Format: | Thesis |
| Language: | English |
| Published: |
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/67711/1/FS%202017%2084%20%20IR.pdf http://psasir.upm.edu.my/id/eprint/67711/ |
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| Summary: | Two Tukey’s techniques which are resistant line for linear trend and resistant smoothing
for non linear trend have been reviewed in this research. The new resistant line for method
of dividing the batches using range dealing with ties and non ties is recommended.
The determination of sample size in each batch is also being introduced.
In resistant smoothing, mathematical terms have been initiated and incorporated in this
technique, the part which has been neglected by introducer of exploratory data analysis.
New symmetric mean, right mean, left mean, right median, and left median have
been proposed, leading to more simple process of smoothing technique. Later, the proposed
methods have been used for the suggested compound smoothing techniques and
hannings with simpler, faster and better smooth.
Additionally, in order to evaluate the efficiency of variant proposed techniques together
with the smoothing index and extra balance test, simulation data with big data size have
successfully been applied. |
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