Date - time
: 10/09/2005 07:01:56
Data file name :
rats253.dta
Single Cosinor Tests for one chosen period
Studied period (T) :
2.5300000E+01
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 : 1.18E+01Cos(2π
t/25.30)-2.58E+00Sin(2π t/25.30)+1.41E+01
Initial model : 1.21E+01Cos((2π
t/25.30)-6.07E+00)+1.41E+01
- Model
(ANOVA) is valid at the probability level p =0.9500, α =0.0500
1.1. Chronobiometric values :
- Amplitude :
1.21E+01
Amplitude Standard Error
: 2.18E+00
CI of
Amplitude
:
[7.47E+00 ; 1.67E+01]
- Dephasing - Chronobiometric Acrophase
(Radians) : -6.07E+00
Dephasing
Standard Error
: 1.67E-01
CI of
Dephasing
:
[-6.42E+00 ; -5.71E+00]
- Dephasing - Chronobiometric Acrophase
(Degrees) : -3.48E+02
Dephasing
Standard Error
: 9.58E+00
CI of
Dephasing
:
[-3.68E+02 ; -3.27E+02]
- Shifting -
Chronobiometric MESOR
: 1.41E+01
Shifting
Standard Error
: 1.48E+00
CI of
Shifting
:
[1.10E+01 ; 1.72E+01]
- AESOR[0, T]
- Chronobiometric AESOR
: 3.57E+02
AESOR
Standard Error
: 3.76E+01
CI of
AESOR
: [2.79E+02 ; 4.35E+02]
1.2. Chronobiometric parameters :
- Percent Rhythm :
59.97 %
- Percent Error :
40.03 %
- p-Value (H0:
Amplitude=0) :
0.0001
1.3. Chronobiometric test : p
=0.9500, α =0.0500
- Ellipse Test (H0: β=0 And γ=0) for T = 2.5300000E+01 H0 rejected
- Area of
the Confidence Ellipse : 9.61E+01
1.4. Residuals distribution - Goodness
of fit : p =0.9500, α =0.0500
- Ajusted r²
: 8.18E-01
- K-S Test (H0: Normal
residuals distribution) H0 accepted
- χ²
Test (H0: Normal residuals distribution) H0 rejected
- Average Test (H0: RS
Average = 0) H0 accepted
- Q Test (H0: Independent
Residues) H0 accepted
Serie n°2
Solution model : 1.56E+01Cos(2π
t/25.30)-7.88E+00Sin(2π t/25.30)+2.06E+01
Initial model : 1.75E+01Cos((2π
t/25.30)-5.82E+00)+2.06E+01
- Model
(ANOVA) is valid at the probability level p =0.9500, α =0.0500
1.1. Chronobiometric values :
- Amplitude :
1.75E+01
Amplitude Standard Error
: 2.47E+00
CI of
Amplitude
:
[1.19E+01 ; 2.31E+01]
- Dephasing - Chronobiometric Acrophase
(Radians) : -5.82E+00
Dephasing
Standard Error
: 1.53E-01
CI of
Dephasing
: [-6.12E+00 ; -5.52E+00]
- Dephasing - Chronobiometric Acrophase
(Degrees) : -3.33E+02
Dephasing
Standard Error
: 8.75E+00
CI of
Dephasing
: [-3.50E+02 ; -3.16E+02]
- Shifting -
Chronobiometric MESOR
: 2.06E+01
Shifting
Standard Error
: 1.82E+00
CI of
Shifting
: [1.68E+01 ; 2.44E+01]
- AESOR[0, T]
- Chronobiometric AESOR
: 5.21E+02
AESOR
Standard Error
:
4.61E+01
CI of
AESOR
: [4.25E+02 ; 6.17E+02]
1.2. Chronobiometric parameters :
- Percent Rhythm :
68.00 %
- Percent Error :
32.00 %
- 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 = 2.5300000E+01 H0 rejected
- Area of
the Confidence Ellipse : 1.45E+02
1.4. Residuals distribution - Goodness
of fit : p =0.9500, α =0.0500
- Ajusted r²
: 8.66E-01
- K-S Test (H0: Normal
residuals distribution) H0 accepted
- χ²
Test (H0: Normal residuals distribution) H0 rejected
- Average Test (H0: RS
Average = 0) H0 accepted
- Q Test (H0: Independent
Residues) H0 accepted
.
.
.
2. Results for all data
Solution model : 1.39E+01Cos(2π
t/25.30)-4.22E+00Sin(2π t/25.30)+1.59E+01
Initial model : 1.45E+01Cos((2π
t/25.30)-5.99E+00)+1.59E+01
- Model
(ANOVA) is valid at the probability level p =0.9500, α
=0.0500
2.1. Chronobiometric values :
- Amplitude :
1.45E+01
Amplitude Standard Error
: 1.37E+00
CI of
Amplitude
:
[1.17E+01 ; 1.73E+01]
- Dephasing -
Chronobiometric Acrophase (Radians) : -5.99E+00
Dephasing
Standard Error
: 9.75E-02
CI of
Dephasing
: [-6.18E+00 ; -5.80E+00]
- Dephasing - Chronobiometric Acrophase
(Degrees) : -3.43E+02
Dephasing
Standard Error
: 5.59E+00
CI of
Dephasing
: [-3.54E+02 ; -3.32E+02]
- Shifting - Chronobiometric MESOR
: 1.59E+01
Shifting Standard Error
: 9.87E-01
CI of Shifting
: [1.40E+01 ; 1.79E+01]
- AESOR[0, T] - Chronobiometric AESOR
: 4.03E+02
AESOR
Standard Error
: 2.50E+01
CI of
AESOR
: [3.53E+02 ; 4.53E+02]
2.2. Chronobiometric parameters :
- Percent Rhythm :
61.22 %
- Percent Error :
38.78 %
- 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 = 2.5300000E+01 H0 rejected
- Area of
the Confidence Ellipse : 3.81E+01
2.4. Residuals distribution - Goodness
of fit : p =0.9500, α =0.0500
- Ajusted r²
:
8.27E-01
- Residual Sums of
Squares :
4.36E+03
- 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 accepted
- 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