Date - time                : 28/10/2003 05:44:19

Data file name           : scie.dta

 

Single Cosinor Test for one chosen period  

Studied period (T)          : 6.2800000E+00

 

1. Results by each series

Equation of the model : β  cos(2π t/T) + γ  sin(2π t/T) + α

 

Serie n°1

Solution model : -1.68E-02Cos(2π t/6.28)+9.96E-01Sin(2π t/6.28)-4.86E-03

Initial model      : 9.96E-01Cos((2π t/6.28)-1.59E+00)-4.86E-03

-  Model (ANOVA) is valid at the probability level     : 0.9500

 

1.1. Chronobiometric values :

- Amplitude                                                                       : 9.96E-01

  Amplitude Standard Error                                                  : 1.10E-01

  CI of Amplitude                                                                  : [7.70E-01 ; 1.22E+00]

- Dephasing -  Chronobiometric Acrophase (Radians)   : -1.59E+00

  Dephasing Standard Error                                                : 1.11E-01

  CI of Dephasing                                                                : [-1.82E+00 ; -1.36E+00]

- Dephasing -  Chronobiometric Acrophase (Degrees)  : -9.10E+01

  Dephasing Standard Error                                                : 6.34E+00

  CI of Dephasing                                                                : [-1.04E+02 ; -7.79E+01]

- Shifting  -  Chronobiometric MESOR                                : -4.86E-03

  Shifting Standard Error                                                      : 7.79E-02

  CI of Shifting                                                                      : [-1.64E-01 ; 1.54E-01]

 

1.2. Chronobiometric parameters :

- Percent Rhythm                                                           : 73.82 %

- Percent Error                                                                : 26.18 %

- p-Value (H0: Amplitude=0)                                          : 0.0000

 

1.3. Chronobiometric test :

-  Ellipse Test (H0: β=0 And γ=0) for T =  6.2800000E+00 H0 rejected            : 0.9500

-  Area of the Confidence Ellipse  : 2.53E-01

 

1.4. Residuals distribution - Goodness of fit :

- Ajusted r²                     : 7.10E-01

- K-S Test (H0: Normal residuals distribution) H0 accepted               : 0.9500

- k² Test (H0: Normal residuals distribution) H0 accepted                : 0.9500

- Average Test (H0: RS Average = 0) H0 accepted                                 : 0.9500

- Q Test (H0: Independent Residues) H0 accepted                               : 0.9500

 

Serie n°2

Solution model : -2.77E-02Cos(2π t/6.28)+9.78E-01Sin(2π t/6.28)-1.06E-02

Initial model      : 9.78E-01Cos((2π t/6.28)-1.60E+00)-1.06E-02

-  Model (ANOVA) is valid at the probability level     : 0.9500

 

1.1. Chronobiometric values :

- Amplitude                                                                       : 9.78E-01

  Amplitude Standard Error                                                  : 1.13E-01

  CI of Amplitude                                                                  : [7.47E-01 ; 1.21E+00]

- Dephasing -  Chronobiometric Acrophase (Radians)   : -1.60E+00

  Dephasing Standard Error                                                : 1.18E-01

  CI of Dephasing                                                                : [-1.84E+00 ; -1.36E+00]

- Dephasing -  Chronobiometric Acrophase (Degrees)  : -9.16E+01

  Dephasing Standard Error                                                : 6.75E+00

  CI of Dephasing                                                                : [-1.06E+02 ; -7.77E+01]

- Shifting  -  Chronobiometric MESOR                                : -1.06E-02

  Shifting Standard Error                                                      : 8.07E-02

  CI of Shifting                                                                      : [-1.76E-01 ; 1.54E-01]

 

1.2. Chronobiometric parameters :

- Percent Rhythm                                                           : 72.11 %

- Percent Error                                                                : 27.89 %

- p-Value (H0: Amplitude=0)                                          : 0.0000

 

1.3. Chronobiometric test :

-  Ellipse Test (H0: β=0 And γ=0) for T =  6.2800000E+00 H0 rejected            : 0.9500

-  Area of the Confidence Ellipse  : 2.72E-01

 

1.4. Residuals distribution - Goodness of fit :

- Ajusted r²                     : 6.91E-01

- K-S Test (H0: Normal residuals distribution) H0 accepted               : 0.9500

- k² Test (H0: Normal residuals distribution) H0 accepted                : 0.9500

- Average Test (H0: RS Average = 0) H0 accepted                                 : 0.9500

- Q Test (H0: Independent Residues) H0 accepted                               : 0.9500

....

....

....

Serie n°30

Solution model : -4.44E-01Cos(2π t/6.28)+8.77E-01Sin(2π t/6.28)+9.83E-03

Initial model      : 9.83E-01Cos((2π t/6.28)-2.04E+00)+9.83E-03

-  Model (ANOVA) is valid at the probability level     : 0.9500

 

1.1. Chronobiometric values :

- Amplitude                                                                       : 9.83E-01

  Amplitude Standard Error                                                  : 1.11E-01

  CI of Amplitude                                                                  : [7.59E-01 ; 1.21E+00]

- Dephasing -  Chronobiometric Acrophase (Radians)   : -2.04E+00

  Dephasing Standard Error                                                : 1.11E-01

  CI of Dephasing                                                                : [-2.27E+00 ; -1.81E+00]

- Dephasing -  Chronobiometric Acrophase (Degrees)  : -1.17E+02

  Dephasing Standard Error                                                : 6.35E+00

  CI of Dephasing                                                                : [-1.30E+02 ; -1.04E+02]

- Shifting  -  Chronobiometric MESOR                                : 9.83E-03

  Shifting Standard Error                                                      : 7.78E-02

  CI of Shifting                                                                      : [-1.49E-01 ; 1.69E-01]

 

1.2. Chronobiometric parameters :

- Percent Rhythm                                                           : 73.60 %

- Percent Error                                                                : 26.40 %

- p-Value (H0: Amplitude=0)                                          : 0.0000

 

1.3. Chronobiometric test :

-  Ellipse Test (H0: β=0 And γ=0) for T =  6.2800000E+00 H0 rejected            : 0.9500

-  Area of the Confidence Ellipse  : 2.53E-01

 

1.4. Residuals distribution - Goodness of fit :

- Ajusted r²                     : 7.08E-01

- K-S Test (H0: Normal residuals distribution) H0 accepted               : 0.9500

- k² Test (H0: Normal residuals distribution) H0 accepted                : 0.9500

- Average Test (H0: RS Average = 0) H0 accepted                                 : 0.9500

- Q Test (H0: Independent Residues) H0 accepted                               : 0.9500

 

2. Results for all data

Solution model : -2.39E-01Cos(2π t/6.28)+9.61E-01Sin(2π t/6.28)+3.24E-05

Initial model      : 9.91E-01Cos((2π t/6.28)-1.81E+00)+3.24E-05

-  Model (ANOVA) is valid at the probability level     : 0.9500

 

2.1. Chronobiometric values :

- Amplitude                                                                       : 9.91E-01

  Amplitude Standard Error                                                  : 1.99E-02

  CI of Amplitude                                                                  : [9.51E-01 ; 1.03E+00]

- Dephasing -  Chronobiometric Acrophase (Radians)    : -1.81E+00

  Dephasing Standard Error                                               : 2.01E-02

  CI of Dephasing                                                                : [-1.85E+00 ; -1.78E+00]

- Dephasing -  Chronobiometric Acrophase (Degrees)   : -1.04E+02

  Dephasing Standard Error                                                : 1.15E+00

  CI of Dephasing                                                                : [-1.06E+02 ; -1.02E+02]

- Shifting      -  Chronobiometric MESOR                           : 3.24E-05

  Shifting Standard Error                                                     : 1.41E-02

  CI of Shifting                                                                      : [-2.76E-02 ; 2.77E-02]

 

2.2. Chronobiometric parameters :

- Percent Rhythm                                                           : 72.07 %

- Percent Error                                                                : 27.93 %

- p-Value for H0 (Amplitude=0)                                    : 0.0000

 

2.3. Chronobiometric test :

-  Ellipse Test (H0: β=0 And γ=0) for T =  6.2800000E+00 H0 rejected            : 0.9500

-  Area of the Confidence Ellipse  : 7.51E-03

 

2.4. Residuals distribution - Goodness of fit :

- Ajusted r²                                                                       : 7.20E-01

- Residual Sums of Squares                                         : 1.83E+02

- χ² Test (H0: Normal residuals distribution) H0 rejected                    : 0.9500

- K-S Test (H0: Normal residuals distribution) H0 accepted    : 0.9500

- Average Test (H0: RS Average = 0) H0 accepted                      : 0.9500

- Q Test (H0: Independent Residues) H0 rejected                              : 0.9500

 

- K-S Test is the Kolmogorov and Smirnov test  

- Average Test (H0: RS Average = 0) is a test of average on the average sum of residues  

- Q Test is the Ljung-Box Q-statistic lack-of-fit hypothesis test