Date - time
: 08/03/2006 12:33:21
Data file name :
tpmon_1900_1970.dta
Single Cosinor Tests for one chosen period
Studied period (T) :
1.2000000E+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 : -4.519E+000Cos(2π
t/12.000)-4.529E+000Sin(2π t/12.000)+9.558E+000
Initial model : 6.398E+000Cos((2π
t/12.000)-3.928E+000)+9.558E+000
- Model
(ANOVA) is valid at the probability level p =0.9500, α =0.0500
1.1. Chronobiometric values :
- Amplitude :
6.398E+000
Amplitude Standard Error
: 5.502E-001
CI of
Amplitude
:
[5.153E+000 ; 7.643E+000]
- Dephasing - Chronobiometric Acrophase
(Radians) : -3.928E+000
Dephasing
Standard Error
: 8.599E-002
CI of
Dephasing :
[-4.124E+000 ; -3.732E+000]
- Dephasing - Chronobiometric Acrophase
(Degrees) : -2.251E+002
Dephasing
Standard Error
: 4.927E+000
CI of
Dephasing :
[-2.363E+002 ; -2.138E+002]
- Shifting -
Chronobiometric MESOR
: 9.558E+000
Shifting
Standard Error
: 3.890E-001
CI of
Shifting
: [8.678E+000 ; 1.044E+001]
- AESOR[0, T]
- Chronobiometric AESOR
: 1.147E+002
AESOR
Standard Error
:
4.669E+000
CI of
AESOR
: [1.041E+002 ; 1.253E+002]
1.2. Chronobiometric parameters :
- Percent Rhythm :
93.76 %
- Percent Error :
6.24 %
- p-Value (H0:
Amplitude=0) :
0.0000
1.3. Chronobiometric test : p
=0.9500, a =0.0500
- Ellipse Test (H0: β=0 And γ=0) for T = 1.2000000E+01 H0 rejected
- Area of
the Confidence Ellipse :
8.096E+000
1.4. Residuals distribution - Goodness
of fit : p =0.9500, α =0.0500
- Ajusted r²
: 9.835E-001
- K-S Test (H0: Normal
residuals distribution) H0 accepted
- χ²
Test (H0: Normal residuals distribution) H0 accepted
- Average Test (H0: RS
Average = 0) H0 accepted
- Q Test (H0: Independent
Residues) H0 accepted
...
...
...
Serie n°70
Solution model : -5.052E+000Cos(2π
t/12.000)-5.256E+000Sin(2π t/12.000)+9.258E+000
Initial model : 7.290E+000Cos((2π
t/12.000)-3.947E+000)+9.258E+000
- Model
(ANOVA) is valid at the probability level p =0.9500, α =0.0500
1.1. Chronobiometric values :
- Amplitude :
7.290E+000
Amplitude Standard Error
: 6.316E-001
CI of
Amplitude
: [5.860E+000 ; 8.720E+000]
- Dephasing - Chronobiometric Acrophase
(Radians) : -3.947E+000
Dephasing
Standard Error
: 8.664E-002
CI of
Dephasing
: [-4.144E+000 ; -3.749E+000]
- Dephasing - Chronobiometric Acrophase
(Degrees) : -2.261E+002
Dephasing
Standard Error
: 4.964E+000
CI of
Dephasing
: [-2.374E+002 ; -2.148E+002]
- Shifting -
Chronobiometric MESOR
: 9.258E+000
Shifting
Standard Error
: 4.466E-001
CI of
Shifting
: [8.247E+000 ; 1.027E+001]
- AESOR[0, T]
- Chronobiometric AESOR
: 1.111E+002
AESOR
Standard Error
: 5.360E+000
CI of
AESOR
: [9.897E+001 ; 1.232E+002]
1.2. Chronobiometric parameters :
- Percent Rhythm :
93.67 %
- Percent Error :
6.33 %
- 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 = 1.2000000E+01 H0 rejected
- Area of
the Confidence Ellipse :
1.067E+001
1.4. Residuals distribution - Goodness
of fit : p =0.9500, α =0.0500
- Ajusted r²
: 9.784E-001
- K-S Test (H0: Normal
residuals distribution) H0 accepted
- χ²
Test (H0: Normal residuals distribution) H0 accepted
- Average Test (H0: RS
Average = 0) H0 accepted
- Q Test (H0: Independent
Residues) H0 accepted
Serie n°71
Solution model : -5.185E+000Cos(2π
t/12.000)-4.777E+000Sin(2π t/12.000)+9.567E+000
Initial model : 7.050E+000Cos((2π
t/12.000)-3.886E+000)+9.567E+000
- Model
(ANOVA) is valid at the probability level p =0.9500, α =0.0500
1.1. Chronobiometric values :
- Amplitude : 7.050E+000
Amplitude Standard Error
: 4.385E-001
CI of
Amplitude
: [6.058E+000 ; 8.043E+000]
- Dephasing - Chronobiometric Acrophase
(Radians) : -3.886E+000
Dephasing
Standard Error
: 6.220E-002
CI of
Dephasing
: [-4.027E+000 ; -3.745E+000]
- Dephasing - Chronobiometric Acrophase
(Degrees) : -2.226E+002
Dephasing
Standard Error
: 3.564E+000
CI of
Dephasing
: [-2.307E+002 ; -2.146E+002]
- Shifting -
Chronobiometric MESOR
: 9.567E+000
Shifting
Standard Error
: 3.101E-001
CI of
Shifting
: [8.865E+000 ;
1.027E+001]
- AESOR[0, T]
- Chronobiometric AESOR
: 1.148E+002
AESOR
Standard Error
: 3.721E+000
CI of
AESOR
: [1.064E+002 ; 1.232E+002]
1.2. Chronobiometric parameters :
- Percent Rhythm :
96.64 %
- Percent Error :
3.36 %
- 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 = 1.2000000E+01 H0 rejected
- Area of
the Confidence Ellipse :
5.143E+000
1.4. Residuals distribution - Goodness
of fit : p =0.9500, α =0.0500
- Ajusted r²
: 9.899E-001
- K-S Test (H0: Normal
residuals distribution) H0 accepted
- χ²
Test (H0: Normal residuals distribution) H0 accepted
- Average Test (H0: RS
Average = 0) H0 accepted
- Q Test (H0: Independent
Residues) H0 accepted
2. Results for all data
Solution model : -4.911E+000Cos(2π
t/12.000)-3.866E+000Sin(2π t/12.000)+9.405E+000
Initial model : 6.250E+000Cos((2π
t/12.000)-3.808E+000)+9.405E+000
- Model
(ANOVA) is valid at the probability level p =0.9500, α
=0.0500
2.1. Chronobiometric values :
- Amplitude :
6.250E+000
Amplitude Standard Error
: 6.709E-002
CI of
Amplitude
: [6.118E+000 ; 6.381E+000]
- Dephasing -
Chronobiometric Acrophase (Radians) : -3.808E+000
Dephasing
Standard Error
: 1.074E-002
CI of
Dephasing
: [-3.830E+000 ; -3.787E+000]
- Dephasing - Chronobiometric Acrophase
(Degrees) : -2.182E+002
Dephasing
Standard Error
: 6.151E-001
CI of
Dephasing
: [-2.194E+002 ; -2.170E+002]
- Shifting - Chronobiometric MESOR :
9.405E+000
Shifting Standard Error
: 4.744E-002
CI of Shifting
: [9.312E+000 ; 9.498E+000]
- AESOR[0, T] - Chronobiometric AESOR
: 1.129E+002
AESOR
Standard Error
: 5.693E-001
CI of
AESOR
: [1.117E+002 ; 1.140E+002]
2.2. Chronobiometric parameters :
- Percent Rhythm :
91.09 %
- Percent Error :
8.91 %
- 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 = 1.2000000E+01 H0 rejected
- Area of
the Confidence Ellipse :
8.503E-002
2.4. Residuals distribution - Goodness
of fit : p =0.9500, α =0.0500
- Ajusted r²
: 9.825E-001
- Residual Sums of
Squares :
1.628E+003
- χ²
Test (H0: Normal residuals distribution) H0 accepted :
- K-S Test (H0: Normal
residuals distribution) H0 accepted
- 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