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Code Listing by Jeff Burkey

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This function uses a non-linear interpolation (Lagrange) to estimate y given x, based on a set of observed x-y points. Coordinates will be sorted based on the x-value of the pair. The x-value provided by the user to calculate y will be estimated using two points left and two points right of the provided x-value.

While this function will allow the user to prescribe any number of observed points to be used for the interpolation,...



accumSeasonTS- aggregate timeseries to solstices and equinoxes

Using G. Cardillo function to compute solstices and equinoxes, this function will aggregate time series data (e.g. Precipitation) to seasonally summarized results. To...



Sen's Trend Test with seasonallity present - Sen T

Another seasonal trend test that has good power detetecting a monotonic trends when seasonal cycles are present. But should only be used when no data are missing. When no data are...



GlobalTrends- Homogeneity tests for multiple seasons and stations. This function will test for trends when seasonality is present and over multiple observation stations, all of which are Chi-square statistics. There are so many statistical tests...



Nash-Sutcliffe model accuracy statistic. Nash-Sutcliffe coefficient is an indicator of the model?s ability to predict about the 1:1 line between observed and simulated data.

The Nash-Sutcliffe coefficient is calculated as:

...



This function will summarize a 1-D vector of data (i.e. 1 column) based on what the user specifies as the statistic (e.g. mean, sum, etc.). It uses no loops, so it is extremely fast. However, it will use up memory as a result. I've included memory...



LOWESS- Locally Weighted Scatterplot Smoothing that does not require the statistical toolbox in matlab.

This regression will work on linear and non-linear relationships between X and Y.

Modifications:
12/19/2008 - added...



The skill score is a statistic similar to the Nash-Sutcliffe in that the closer to one the better the model prediction. This function interprets model predictability using residual error and observed variability in your data. A skill score of 1...



Surprisingly, I never came across the simple solution of aggregating data using accumarray. Accumarray needs indices supplied to aggregate too. Combining this with the Unique function, the user can quickly and conveniently aggregate data using any...



The Mann-Kendall Tau-b non-parametric function computes a coefficient representing strength and direction of a trend for equally spaced data. While you do not need the Statistics Toolbox to compute Taub, you do need it to test for significance....