ARMA models for the amplitudes of measured outer hair cell stereocilia stiffness

Date

2011-05

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Abstract

The goal of the analysis presented by Zhang and Surles [3] is to determine if there were differences in the average amplitudes between S2 and S3. Deng’s [4] provided an alternative model but this model did not properly account for all of the autocorrelation present in the data. In this thesis the goal will be the same as Zhang and Surles [3] and Deng [4], which is to determine whether there exists significant difference between the average amplitude of the negative part and the average amplitude of the positive part. In a completely different approach, the amplitudes will be extracted from the data, and they will be treated as a time series. Standard Box-Jenkins ARMA models will be fit in order to compare the amplitudes from the two different voltage settings.

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Keywords

Autoregrassive-moving-avergae (ARMA) model, Time-series, Amplitudes, Akaike information criterion (AIC), Residual, Ljung-Box-Pierce Test, Z-test, Stiffness, Outer hair cells, Stereocilia

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