Sen Slope estimator

Version 1.0.0 (3.93 KB) by Ali A
Non-parametric Slope Using the Method of Theil (1950) and Sen (1968)
3 Downloads
Updated 2 Apr 2024

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%% INPUTS:
% TSD = (n x 2) double
% TSD(:,1) = Time, Eg. years, TSD(:,1) = [1991; 1992; 1993; ... 2015]
% TSD(:,2) = Data, Eg. Data may be the average temprature of the years
% alpha = significance level of the test, Eg. alpha = 0.05
% Plot = 0 or 1; (Plot = 1 : Plots the time series data and Sen's
% slope estimators)
%% OUTPUTS:
% H = hypothesis test results (H = 1 : Trend is significant)
% beta1 = Sen's slope
% LL = Lower confidence interval for Sen's slope
% UL = Upper confidence interval for Sen's slope
% LL < beta1 < UL
% beta0 = Intercept
% H05 = hypothesis test results for beta1/slope at the 5%
% (alpha = 0.05) significance level
% H01 = hypothesis test results for beta1/slope at the 1%
% (alpha = 0.01) significance level
%% RUNNING SAMPLE:
% >> load('tsd_sample.mat');
% >> Sen_Slope(tsd_sample, .05, 1);

Cite As

Ali A (2024). Sen Slope estimator (https://www.mathworks.com/matlabcentral/fileexchange/162546-sen-slope-estimator), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2016a
Compatible with R2010a to R2024a
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
1.0.0