Kendall-Theil Robust Line (KTRLine--version 1.0) Output Analysis done on: 2010-01-11 12:02:20 Input File Name: C:\ggranato\USGS-SoftwarePages\Sofware\KTRLine\Data\01197500TPA.txt Independent Variable (X): Discharge, instantaneous, cubic feet per second per square mile Dependent Variable (Y): Phosphorus, water, unfiltered, milligrams per liter ******************** Linear model all data: Number of points: 25 Number of pairs: 300 Number of ties in X: 3 Minimum X: 0.3404255 Maximum X: 5.425532 Minimum Y: 0.05 Maximum Y: 0.36 Median of X's: 1.120567 Median of Y's: 0.13 Median of Slopes: -3.851039E-02 Upper 95th percent confidence interval of slope (large sample approximation): -1.811009E-02 Lower 95th percent confidence interval of slope (large sample approximation): -8.459997E-02 Linear intercept: 0.1731535 Kendall-Theil Line for all linear data: Y = 0.1731535 + -3.851039E-02 * X Information on independent random errors (deviations from line): Median Deviation (error): 1.270024E-02 Median Absolute Deviation (error) (MAD): 3.401644E-02 Root Mean Square Error (RMSE): 8.453491E-02 NonParametric PRediction Error Sum of Squares (NPPRESS): 0.2052271 Bias Correction Factor (BCF): 3.561445E-02 Note: This is a Duan (1983) smearing estimator. ******************** ********************* Model all data with: X & Y with one line Number of points: 25 Number of pairs: 300 Number of ties in X: 3 Median of X: 1.120567 Median of Y: 0.13 Median of Slopes: -3.851039E-02 Upper 95th percent confidence interval of slope (large sample approximation): -1.811009E-02 Lower 95th percent confidence interval of slope (large sample approximation): -8.459997E-02 Linear intercept: 0.1731535 Kendall-Theil Line for all data: Y = 0.1731535 + -3.851039E-02 * X Information on independent random errors (deviations from line): Median Deviation (error): 1.270024E-02 Median Absolute Deviation (error) (MAD): 3.401644E-02 Root Mean Square Error (RMSE): 8.453491E-02 NonParametric PRediction Error Sum of Squares (NPPRESS): 0.2052271 Bias Correction Factor (BCF): 3.561445E-02 Note: This is a Duan (1983) smearing estimator. ********************** Tab Delimited information for Export: Yvar XVar Segments Line Intercept Slope MAD MaxX Number of Points Y X 1 1 0.1731535 -3.851039E-02 3.401644E-02 5.425532 25 ********************** ********************* Model all data with: Log10(X) & Log10(Y) with one line Number of points: 25 Number of pairs: 300 Number of ties in X: 3 Median of Log10(X): 4.943796E-02 Median of Log10(Y): -0.8860567 Median of Slopes: -0.5614597 Upper 95th percent confidence interval of slope (large sample approximation): -0.2952977 Lower 95th percent confidence interval of slope (large sample approximation): -0.7547567 Linear intercept: -0.8582993 Kendall-Theil Line for all data: Log10(Y) = -0.8582993 + -0.5614597 * Log10(X) Information on independent random errors (deviations from line): Median Deviation (error): 6.847739E-03 Median Absolute Deviation (error) (MAD): 0.0896107 Root Mean Square Error (RMSE): 0.1790778 NonParametric PRediction Error Sum of Squares (NPPRESS): 0.8667074 Bias Correction Factor (BCF): 1.060797 Note: This is a Duan (1983) smearing estimator. ********************** Tab Delimited information for Export: Yvar XVar Segments Line Intercept Slope MAD MaxX Number of Points Log10(Y) Log10(X) 1 1 -0.8582993 -0.5614597 0.0896107 0.7344423 25 **********************