Date - time
: 16/02/2006 15:34:22
Data file name :
cortisolmet.dta
Single
Cosinor - Comparison of rhythms (Nelson and Bingham) - Period fixed
Studied
period (T) :
2.4400000E+01
1.
Results by each series
Equation
of the model : β cos(2π t/T) + γ sin(2p t/T) + α
Serie
n°1
Solution
model : Initial model : 4.86E+02Cos((2π t/24.40)-3.70E+00)+1.09E+03
1.1.
Chronobiometric values :
- Amplitude :
4.86E+02
- Dephasing -
Chronobiometric Acrophase (Radians) : -3.70E+00
- Dephasing -
Chronobiometric Acrophase (Degrees) : -2.12E+02
- Shifting -
Chronobiometric MESOR
: 1.09E+03
1.2.
Chronobiometric parameters :
- p-Value (H0: Amplitude=0) :
0.1377
1.3.
Chronobiometric test :
- Ellipse Test
(H0: β=0 And γ=0) for T =
2.4400000E+01 H0 accepted
: 0.9500
1.4.
Residuals distribution - Goodness of fit :
- 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 accepted
: 0.9500
Serie
n°2
Solution
model : Initial model : 4.86E+02Cos((2π t/24.40)-3.70E+00)+1.09E+03
1.1.
Chronobiometric values :
- Amplitude :
4.86E+02
- Dephasing -
Chronobiometric Acrophase (Radians) : -3.70E+00
- Dephasing -
Chronobiometric Acrophase (Degrees) : -2.12E+02
- Shifting -
Chronobiometric MESOR
: 1.09E+03
1.2.
Chronobiometric parameters :
- p-Value (H0: Amplitude=0) :
0.1377
1.3.
Chronobiometric test :
- Ellipse Test
(H0: β=0 And γ=0) for T =
2.4400000E+01 H0 accepted
: 0.9500
1.4.
Residuals distribution - Goodness of fit :
- 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 accepted
: 0.9500
Serie
n°3
Solution
model : Initial model : 4.86E+02Cos((2π t/24.40)-3.70E+00)+1.09E+03
1.1.
Chronobiometric values :
- Amplitude :
4.86E+02
- Dephasing -
Chronobiometric Acrophase (Radians) : -3.70E+00
- Dephasing -
Chronobiometric Acrophase (Degrees) : -2.12E+02
- Shifting -
Chronobiometric MESOR
: 1.09E+03
1.2.
Chronobiometric parameters :
- p-Value (H0: Amplitude=0) :
0.1377
1.3.
Chronobiometric test :
- Ellipse Test
(H0: β=0 And γ=0) for T =
2.4400000E+01 H0 accepted
: 0.9500
1.4.
Residuals distribution - Goodness of fit :
- 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 accepted
: 0.9500
Serie
n°4
Solution
model : Initial model : 4.86E+02Cos((2π t/24.40)-3.70E+00)+1.09E+03
1.1.
Chronobiometric values :
- Amplitude :
4.86E+02
- Dephasing -
Chronobiometric Acrophase (Radians) : -3.70E+00
- Dephasing -
Chronobiometric Acrophase (Degrees) : -2.12E+02
- Shifting -
Chronobiometric MESOR
: 1.09E+03
1.2.
Chronobiometric parameters :
- p-Value (H0: Amplitude=0) :
0.1377
1.3.
Chronobiometric test :
- Ellipse Test
(H0: β=0 And γ=0) for T =
2.4400000E+01 H0 accepted
: 0.9500
1.4.
Residuals distribution - Goodness of fit :
- 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 accepted
: 0.9500
2.
Results for all data
Initial
model :
4.86E+02Cos((2π t/24.40)-3.70E+00)+1.09E+03
2.1.
Chronobiometric values :
- Amplitude :
4.86E+02
- Dephasing - Chronobiometric Acrophase (Radians) : -3.70E+00
- Dephasing -
Chronobiometric Acrophase (Degrees) : -2.12E+02
- Shifting -
Chronobiometric MESOR
: 1.09E+03
2.2.
Chronobiometric parameters :
- p-Value for H0 (Amplitude=0) :
0.0000
2.3.
Chronobiometric test :
- Ellipse Test
(H0: β=0 And γ=0) for T =
2.4400000E+01 H0 rejected : 0.9500
2.4.
Residuals distribution - Goodness of fit :
- Residual Sums of Squares :
3.10E+06
- 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
2
5. Tests of comparison of rhythms (Nelson et al, Bingham et al) :
- Bingham F MESOR Test (H0: Series of equal MESOR) H0
accepted : 0.9500
- Bingham F Amp., Acro. Test (H0: Series of equal Amplitudes
and Acrophase) H0 accepted : 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