Date - time
: 24/09/2005 15:00:39
Data file name :
Triang.dta
Single Cosinor Tests 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 : -1.93E-02Cos(2π
t/6.28)+9.95E-01Sin(2π t/6.28)-3.51E-03
Initial model : 9.95E-01Cos((2π
t/6.28)-1.59E+00)-3.51E-03
- Model
(ANOVA) is valid at the probability level p =0.9500, α =0.0500
1.1. Chronobiometric values :
- Amplitude :
9.95E-01
Amplitude Standard Error
: 2.15E-02
CI of
Amplitude
:
[9.51E-01 ; 1.04E+00]
- Dephasing - Chronobiometric Acrophase
(Radians) : -1.59E+00
Dephasing
Standard Error
: 2.17E-02
CI of
Dephasing
:
[-1.63E+00 ; -1.55E+00]
- Dephasing - Chronobiometric Acrophase
(Degrees) : -9.11E+01
Dephasing
Standard Error
: 1.24E+00
CI of
Dephasing
:
[-9.36E+01 ; -8.86E+01]
- Shifting -
Chronobiometric MESOR
: -3.51E-03
Shifting
Standard Error
: 1.52E-02
CI of
Shifting
:
[-3.47E-02 ; 2.76E-02]
- AESOR[0, T]
- Chronobiometric AESOR
: -2.20E-02
AESOR
Standard Error
: 9.56E-02
CI of
AESOR
: [-2.18E-01 ; 1.74E-01]
1.2. Chronobiometric parameters :
- Percent Rhythm :
98.66 %
- Percent Error :
1.34 %
- p-Value (H0:
Amplitude=0) :
0.0000
1.3. Chronobiometric test : p
=0.9500, α =0.0500
- Ellipse Test (H0: β=0 And γ=0) for T = 6.2800000E+00 H0 rejected
- Area of
the Confidence Ellipse : 9.70E-03
1.4. Residuals distribution - Goodness
of fit : p =0.9500, α =0.0500
- Ajusted r²
: 9.85E-01
- K-S Test (H0: Normal
residuals distribution) H0 accepted
- k²
Test (H0: Normal residuals distribution) H0 accepted
- Average Test (H0: RS
Average = 0) H0 accepted
- Q Test (H0: Independent
Residues) H0 rejected
Serie n°2
Solution model : -1.61E-02Cos(2π
t/6.28)+1.01E+00Sin(2π t/6.28)+2.72E-03
Initial model : 1.01E+00Cos((2π
t/6.28)-1.59E+00)+2.72E-03
- Model
(ANOVA) is valid at the probability level p =0.9500, α =0.0500
1.1. Chronobiometric values :
- Amplitude :
1.01E+00
Amplitude Standard Error
: 2.26E-02
CI of
Amplitude
:
[9.62E-01 ; 1.05E+00]
- Dephasing - Chronobiometric Acrophase
(Radians) : -1.59E+00
Dephasing
Standard Error
: 2.28E-02
CI of
Dephasing
: [-1.63E+00 ; -1.54E+00]
- Dephasing - Chronobiometric Acrophase
(Degrees) : -9.09E+01
Dephasing
Standard Error
: 1.31E+00
CI of
Dephasing
: [-9.36E+01 ; -8.82E+01]
- Shifting -
Chronobiometric MESOR
: 2.72E-03
Shifting
Standard Error
: 1.61E-02
CI of
Shifting
: [-3.03E-02 ; 3.57E-02]
- AESOR[0, T]
- Chronobiometric AESOR
: 1.71E-02
AESOR
Standard Error
:
1.01E-01
CI of
AESOR
: [-1.90E-01 ; 2.24E-01]
1.2. Chronobiometric parameters :
- Percent Rhythm :
98.57 %
- Percent Error :
1.43 %
- p-Value (H0:
Amplitude=0) :
0.0000
1.3. Chronobiometric test : p
=0.9500, α =0.0500
- Ellipse Test (H0: β=0 And γ=0) for T = 6.2800000E+00 H0 rejected
- Area of
the Confidence Ellipse : 1.09E-02
1.4. Residuals distribution - Goodness
of fit : p =0.9500, α =0.0500
- Ajusted r²
: 9.84E-01
- K-S Test (H0: Normal
residuals distribution) H0 accepted
- k²
Test (H0: Normal residuals distribution) H0 accepted
- Average Test (H0: RS
Average = 0) H0 accepted
- Q Test (H0: Independent
Residues) H0 rejected
Serie n°3
Solution model : -4.76E-02Cos(2π
t/6.28)+9.94E-01Sin(2π t/6.28)-1.40E-04
Initial model : 9.95E-01Cos((2π
t/6.28)-1.62E+00)-1.40E-04
- Model
(ANOVA) is valid at the probability level p =0.9500, α =0.0500
1.1. Chronobiometric values :
- Amplitude :
9.95E-01
Amplitude Standard Error
: 2.06E-02
CI of
Amplitude
:
[9.53E-01 ; 1.04E+00]
- Dephasing - Chronobiometric Acrophase
(Radians) : -1.62E+00
Dephasing
Standard Error
: 2.10E-02
CI of
Dephasing
:
[-1.66E+00 ; -1.58E+00]
- Dephasing - Chronobiometric Acrophase
(Degrees) : -9.27E+01
Dephasing
Standard Error
: 1.20E+00
CI of
Dephasing
:
[-9.52E+01 ; -9.03E+01]
- Shifting -
Chronobiometric MESOR
: -1.40E-04
Shifting
Standard Error
: 1.47E-02
CI of
Shifting
:
[-3.02E-02 ; 2.99E-02]
- AESOR[0, T]
- Chronobiometric AESOR
: -8.81E-04
AESOR
Standard Error
: 9.22E-02
CI of AESOR
: [-1.89E-01 ; 1.88E-01]
1.2. Chronobiometric parameters :
- Percent Rhythm :
98.77 %
- Percent Error :
1.23 %
- p-Value (H0:
Amplitude=0) :
0.0000
1.3. Chronobiometric test : p
=0.9500, α =0.0500
- Ellipse Test (H0: β=0 And γ=0) for T = 6.2800000E+00 H0 rejected
- Area of
the Confidence Ellipse : 9.00E-03
1.4. Residuals distribution - Goodness
of fit : p =0.9500, α =0.0500
- Ajusted r²
: 9.86E-01
- K-S Test (H0: Normal
residuals distribution) H0 accepted
- k²
Test (H0: Normal residuals distribution) H0 accepted
- Average Test (H0: RS
Average = 0) H0 accepted
- Q Test (H0: Independent
Residues) H0 rejected
.
.
.
.
.
Serie n°30
Solution model : -4.61E-01Cos(2π
t/6.28)+8.79E-01Sin(2π t/6.28)+1.09E-03
Initial model : 9.92E-01Cos((2π
t/6.28)-2.05E+00)+1.09E-03
- Model
(ANOVA) is valid at the probability level p =0.9500, α =0.0500
1.1. Chronobiometric values :
- Amplitude :
9.92E-01
Amplitude Standard Error
: 2.04E-02
CI of
Amplitude
: [9.51E-01 ; 1.03E+00]
- Dephasing - Chronobiometric Acrophase
(Radians) : -2.05E+00
Dephasing
Standard Error
: 2.02E-02
CI of
Dephasing
: [-2.10E+00 ; -2.01E+00]
- Dephasing - Chronobiometric Acrophase
(Degrees) : -1.18E+02
Dephasing
Standard Error
: 1.16E+00
CI of
Dephasing
: [-1.20E+02 ; -1.15E+02]
- Shifting -
Chronobiometric MESOR
: 1.09E-03
Shifting
Standard Error
: 1.43E-02
CI of
Shifting
: [-2.81E-02 ; 3.03E-02]
- AESOR[0, T]
- Chronobiometric AESOR
: 6.85E-03
AESOR
Standard Error
: 8.98E-02
CI of
AESOR
: [-1.77E-01 ; 1.90E-01]
1.2. Chronobiometric parameters :
- Percent Rhythm :
98.83 %
- Percent Error :
1.17 %
- p-Value (H0:
Amplitude=0) :
0.0000
1.3. Chronobiometric test : p
=0.9500, α =0.0500
- Ellipse Test (H0: β=0 And γ=0) for T = 6.2800000E+00 H0 rejected
- Area of
the Confidence Ellipse : 8.54E-03
1.4. Residuals distribution - Goodness
of fit : p =0.9500, α =0.0500
- Ajusted r²
: 9.87E-01
- K-S Test (H0: Normal
residuals distribution) H0 accepted
- k²
Test (H0: Normal residuals distribution) H0 accepted
- Average Test (H0: RS
Average = 0) H0 accepted
- Q Test (H0: Independent
Residues) H0 rejected
2. Results for all data
Solution model : -2.39E-01Cos(2π
t/6.28)+9.61E-01Sin(2π t/6.28)+1.65E-05
Initial model : 9.90E-01Cos((2π
t/6.28)-1.81E+00)+1.65E-05
- Model
(ANOVA) is valid at the probability level p =0.9500, α
=0.0500
2.1. Chronobiometric values :
- Amplitude :
9.90E-01
Amplitude Standard Error
: 5.91E-03
CI of
Amplitude
: [9.79E-01 ; 1.00E+00]
- Dephasing -
Chronobiometric Acrophase (Radians) :
-1.81E+00
Dephasing
Standard Error
: 5.97E-03
CI of
Dephasing
: [-1.83E+00 ; -1.80E+00]
- Dephasing - Chronobiometric Acrophase (Degrees) : -1.04E+02
Dephasing
Standard Error
: 3.42E-01
CI of
Dephasing
: [-1.05E+02 ; -1.03E+02]
- Shifting - Chronobiometric MESOR :
1.65E-05
Shifting Standard Error
: 4.18E-03
CI of Shifting
: [-8.18E-03 ; 8.22E-03]
- AESOR[0, T] - Chronobiometric AESOR
: 1.04E-04
AESOR
Standard Error
: 2.62E-02
CI of
AESOR
: [-5.14E-02 ; 5.16E-02]
2.2. Chronobiometric parameters :
- Percent Rhythm :
96.71 %
- Percent Error :
3.29 %
- p-Value for H0
(Amplitude=0) : 0.0000
2.3. Chronobiometric test : p
=0.9500, α =0.0500
- Ellipse Test (H0: β=0 And γ=0) for T = 6.2800000E+00 H0 rejected
- Area of
the Confidence Ellipse : 6.59E-04
2.4. Residuals distribution - Goodness
of fit : p =0.9500, α =0.0500
- Ajusted r²
: 9.67E-01
- Residual Sums of
Squares :
1.60E+01
- χ²
Test (H0: Normal residuals distribution) H0 rejected
:
- K-S Test (H0: Normal
residuals distribution) H0 rejected
- Average Test (H0: RS
Average = 0) H0 accepted
- Q Test (H0: Independent Residues)
H0 rejected
- 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