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