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# Homogeneity test of Global Trends using Chi-Square on Mann-Kendall 1.0

Date Added: September 05, 2013  |  Visits: 221

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 being done, this function is more like a script or program than a function, but I prefer operating with functions.This function relies heavily on Matlab's Statistical Toolbox for obtaining Chi-square values and ktaub.m function.These tests will allow for ties, missing data, and multiple observations per time index, since it uses the enhanced ktaub.m function that was recently updated.There are numerous narratives as part of the output to the screen providing supporting interpretation of the results.This function is based on Chapter 17.5 in Gilbert.Syntax: [ChiOutput K M sig] = GlobalTrends( datain, alpha )Inputs:To stay consistent with the previous trend statistics posted (ktaub, sktt, and SenT), data are expected to be in the following structure: datain(:,1) = Year datain(:,2) = season datain(:,3) = value datain(:,4) = station alpha = scaler (e.g. 0.05)Outputs: ChiOutput structure is like the following (labels are not included) Total: Chi-square df p-value Homogeneity: Chi-square df p-value Season: Chi-square df p-value Station: Chi-square df p-value Station-Season: Chi-square df p-value Trend: Chi-square df p-value And depending on significances of Stations, Seasons, and StationSeasons, one of three other outpus may occur: K: significance of Seasons per station M: significance of Stations for seasons And when seasonal trend tests should not be done sig: individual station-season p-values are given by rowThere is a lot of output to the screen as well, but using fprintf, one could easily redirect output to a file. Requirements - Matlab Statistical Toolbox - ktaub.mReference: Richard O. Gilbert, Pacific Northwest National Laboratories, "Statistical methods for Environmental Pollution Monitoring", 1987, Van Nostrand Reinhold, New York Publishing, ISBN 0-442-23050-8.One last note. Id-deOaove posted enough functions that it makes sense to constitute forming a Matlab toolboxd-deTZso itd-deOaos in the works (slowly).

 Requirements: No special requirements Platforms: Matlab Keyword: Occur,  Outpus,  Pvalues,  Seasons,  Significance,  Significances,  Stations,  Stationseasons Users rating: 0/10