| Results from both autocorrelation and cross-correlation measurements were analyzed using the same equation. |
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| We showed that the autocorrelation profile not only contains information on diffusion timescales but also on relaxation timescales. |
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| Hence, we present the values along with our primary results, which are corrected for spatial autocorrelation. |
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| The autocorrelation functions yielded the distributions of the diffusion coefficients of the scatterers and the corresponding hydrodynamic radii. |
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| We therefore employed a second assumption that autocorrelation of mutation rates occurs between insect genera, families, or suborders. |
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| The time series nature of the data set suggests that autocorrelation could be a problem. |
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| In contrast, the off-diagonal elements, representing autocorrelation across equations, are generally negative, although small in value. |
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| Such a series of treatment successes would conform to a white noise pattern, with no significant autocorrelation in a time series analysis. |
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| None of our data series showed significant autocorrelation, and absence of autocorrelation was significant in 13 out of the 26 considered cases. |
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| Because the data analyzed in Table 2 represent a pooled cross-sectional time series we tested for the presence of autocorrelation. |
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| Fig.2 shows the results of an autocorrelation performed on an image with the crack pattern. |
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| By means of a time autocorrelation, dynamic information contained in the intensity fluctuations can be realized. |
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| Thus, during the measurement of the autocorrelation profile the properties of gel and fluid domains may, to a certain degree, be averaged out. |
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| Hence, the unbiased variance estimator may be negatively biased due to spatial autocorrelation. |
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| Thus, residuals are found to be homoscedastic with very less autocorrelation. |
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| Theoretical chemistry: non adiabatic coupling, calculation of autocorrelation functions, unimolecular reactions. |
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| We decided on four lags as a reasonable choice, because error autocorrelation and heteroscedasticity problems disappear in these circumstances. |
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| Residual-based tests include autocorrelation, heteroscedasticity, normality, and specification tests. |
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| These noises are associated with an autocorrelation time, that is to say, a characteristic time for returning to the mean. |
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| To account for spatial autocorrelation, an autocovariate was included in each model. |
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| This model makes it possible to downscale spatially for one station, but does not currently allow downscaling based on autocorrelation among all the stations used. |
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| A time series must be stationary, i.e., one which has a constant mean, variance, and autocorrelation function, in order for an ARIMA model to be applicable. |
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| As it happened, autocorrelation could detect pitch as well as oil, and Hildebrand, who had taken some music courses, turned his engineering skills toward pop. |
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| His technique involved a mathematical model called autocorrelation. |
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| In other words, if you have two noises of pretty much the same magnitude, you can have a very short autocorrelation time, in which case there will be a lot of oscillations. |
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| This means that spatial autocorrelation does not merely affect immediately adjacent districts but also all those that are geographically close, to an extent that is strictly inverse to distance. |
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| As a result, the technique of spatial autocorrelation was used in the Saskatoon study to directly determine the presence of spatial pattern in the mapped variables due to geographic proximity. |
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| Table A-1 shows the variability and autocorrelation measures from the base-case calibration and over history for output, inflation, and interest rates. |
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| A total of 31 neighbourhood variables were analyzed by statistical techniques including principal components analysis, multiple regression and spatial autocorrelation. |
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| If the autocorrelation time is longer, then you will observe undulations. |
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| The autocorrelation coefficient on quarterly inflation, which is often used to measure the persistence of a variable, has fallen from approximately 0.8 in the 1980s, to essentially zero in the past 10 years. |
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| Stepwise method was used, in compliance with the presuppositions of collinearity, homoscedasticity and Durbin-Watson residuals autocorrelation. |
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| A stationarity requirement, defined as a constant mean, variance and autocorrelation through time, constrains parameters to a certain range. |
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| A zero mean, single mean, and trend ADF along with autocorrelation, partial autocorrelation and cross correlation diagnostics can be used. |
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| The autocorrelation and partial autocorrelation in the time series were assessed to identify possible density dependence in the population trend. |
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| These properties can be characterized by the autocorrelation function and partial autocorrelation function. |
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| The univariate models were developed by examining the sample autocorrelation and partial autocorrelation functions for each time series. |
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| This is done for minimizing the obstacles that arise over homoscedasticity and autocorrelation. |
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| These terms or numbers were determined through the autocorrelation function and the partial autocorrelation function. |
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| The elimination of non-stationarity made the data free from autocorrelation and possibility of spuriousness among the model's variable regression analysis. |
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| A plot of the autocorrelation function and partial autocorrelation function for the first difference of HELPH indicate a first-order autoregressive model. |
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| Table 3 shows partial autocorrelation for current year dividend. |
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| Error terms were assessed graphically for autocorrelation by analyzing autocorrelation function chart and the partial autocorrelation chart if warranted. |
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| However, Lehavy and Sloan report that changes in investor recognition are also autocorrelated and that after controlling for this autocorrelation, a negative relation emerges. |
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