Date - time : 15/10/2003 10:33:45
Data file name :
T°Alcoolisation.dta
Single
Cosinor Test for one chosen period
Studied
period (T) : 2.4700000E+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 : 5.79E-02Cos(2π t/24.70)-3.97E-01Sin(2π t/24.70)+3.69E+01
Initial
model : 4.01E-01Cos((2π t/24.70)-4.86E+00)+3.69E+01
- Model (ANOVA) is valid at the probability
level : 0.9500
1.1.
Chronobiometric values :
- Amplitude :
4.01E-01
Amplitude Standard Error
: 2.74E-02
CI of Amplitude : [3.46E-01 ; 4.57E-01]
- Dephasing -
Chronobiometric Acrophase (Radians)
: -4.86E+00
Dephasing Standard Error
: 6.63E-02
CI of Dephasing : [-4.99E+00 ; -4.73E+00]
- Dephasing -
Chronobiometric Acrophase (Degrees)
: -2.78E+02
Dephasing Standard Error
: 3.80E+00
CI of Dephasing : [-2.86E+02 ; -2.71E+02]
- Shifting - Chronobiometric
MESOR :
3.69E+01
Shifting Standard Error
: 1.92E-02
CI of Shifting : [3.69E+01 ; 3.69E+01]
1.2.
Chronobiometric parameters :
- Percent Rhythm : 72.47 %
- Percent Error : 27.53 %
- p-Value (H0: Amplitude=0) : 0.0000
1.3.
Chronobiometric test :
- Ellipse Test (H0: β=0 And γ=0) for T = 2.4700000E+01 is significant at the
probability level : 0.9500
- Area of the Confidence Ellipse : 1.42E-02
1.4.
Residuals distribution - Goodness of fit :
- Ajusted r² : 1.00E+00
- K-S Test (H0: Normal residuals distribution) is not
significant at the probability level : 0.9500
- k²
Test (H0: Normal residuals distribution) is not significant at the probability
level : 0.9500
- Average Test (H0: RS Average = 0) is not significant at the
probability level : 0.9500
- Q Test (H0: Independent Residues) is significant at the
probability level : 0.9500
Serie
n°2
Solution
model : -4.42E-02Cos(2π t/24.70)-1.07E-01Sin(2π t/24.70)+3.70E+01
Initial
model : 1.16E-01Cos((2π t/24.70)-4.32E+00)+3.70E+01
- Model (ANOVA) is valid at the probability
level : 0.9500
1.1.
Chronobiometric values :
- Amplitude :
1.16E-01
Amplitude Standard Error : 2.71E-02
CI of Amplitude :
[6.44E-02 ; 1.68E-01]
- Dephasing -
Chronobiometric Acrophase (Radians)
: -4.32E+00
Dephasing Standard Error : 2.16E-01
CI of Dephasing :
[-4.79E+00 ; -3.86E+00]
- Dephasing -
Chronobiometric Acrophase (Degrees)
: -2.48E+02
Dephasing Standard Error : 1.24E+01
CI of Dephasing :
[-2.74E+02 ; -2.21E+02]
- Shifting - Chronobiometric
MESOR :
3.70E+01
Shifting Standard Error
: 1.86E-02
CI of Shifting
: [3.69E+01 ; 3.70E+01]
1.2.
Chronobiometric parameters :
- Percent Rhythm : 20.23 %
- Percent Error :
79.77 %
- p-Value (H0: Amplitude=0) : 0.0001
1.3.
Chronobiometric test :
- Ellipse Test (H0: β=0 And γ=0) for T = 2.4700000E+01 is significant at the
probability level : 0.9500
- Area of the Confidence Ellipse : 1.33E-02
1.4.
Residuals distribution - Goodness of fit :
- Ajusted r² : 1.00E+00
- K-S Test (H0: Normal residuals distribution) is not
significant at the probability level : 0.9500
- k²
Test (H0: Normal residuals distribution) is not significant at the probability
level : 0.9500
- Average Test (H0: RS Average = 0) is not significant at the
probability level : 0.9500
- Q Test (H0: Independent Residues) is significant at the
probability level : 0.9500
Serie
n°3
Solution
model : -6.72E-02Cos(2π t/24.70)-1.10E-01Sin(2π t/24.70)+3.68E+01
Initial
model : 1.29E-01Cos((2π t/24.70)-4.17E+00)+3.68E+01
- Model (ANOVA) is valid at the probability
level : 0.9500
1.1.
Chronobiometric values :
- Amplitude : 1.29E-01
Amplitude Standard Error
: 3.02E-02
CI of Amplitude :
[7.22E-02 ; 1.86E-01]
- Dephasing -
Chronobiometric Acrophase (Radians)
: -4.17E+00
Dephasing Standard Error
: 2.17E-01
CI of Dephasing :
[-4.63E+00 ; -3.70E+00]
- Dephasing -
Chronobiometric Acrophase (Degrees)
: -2.39E+02
Dephasing Standard Error
: 1.24E+01
CI of Dephasing :
[-2.66E+02 ; -2.12E+02]
- Shifting - Chronobiometric
MESOR :
3.68E+01
Shifting Standard Error
: 2.07E-02
CI of Shifting
: [3.67E+01 ; 3.68E+01]
1.2.
Chronobiometric parameters :
- Percent Rhythm : 20.56 %
- Percent Error :
79.44 %
- p-Value (H0: Amplitude=0) : 0.0001
1.3.
Chronobiometric test :
- Ellipse Test (H0: β=0 And γ=0) for T = 2.4700000E+01 is significant at the
probability level : 0.9500
- Area of the Confidence Ellipse : 1.65E-02
1.4.
Residuals distribution - Goodness of fit :
- Ajusted r² : 1.00E+00
- K-S Test (H0: Normal residuals distribution) is not
significant at the probability level : 0.9500
- k²
Test (H0: Normal residuals distribution) is not significant at the probability
level : 0.9500
- Average Test (H0: RS Average = 0) is not significant at the
probability level : 0.9500
- Q Test (H0: Independent Residues) is significant at the
probability level : 0.9500
Serie
n°4
Solution
model : -5.28E-02Cos(2π t/24.70)-2.83E-01Sin(2π t/24.70)+3.69E+01
Initial
model : 2.88E-01Cos((2π t/24.70)-4.53E+00)+3.69E+01
- Model (ANOVA) is valid at the probability
level : 0.9500
1.1.
Chronobiometric values :
- Amplitude :
2.88E-01
Amplitude Standard Error
: 2.82E-02
CI of Amplitude : [2.33E-01 ; 3.43E-01]
- Dephasing -
Chronobiometric Acrophase (Radians)
: -4.53E+00
Dephasing Standard Error
: 9.19E-02
CI of Dephasing :
[-4.72E+00 ; -4.34E+00]
- Dephasing -
Chronobiometric Acrophase (Degrees)
: -2.59E+02
Dephasing Standard Error
: 5.26E+00
CI of Dephasing :
[-2.70E+02 ; -2.49E+02]
- Shifting - Chronobiometric
MESOR :
3.69E+01
Shifting Standard Error : 1.95E-02
CI of Shifting
: [3.69E+01 ; 3.70E+01]
1.2.
Chronobiometric parameters :
- Percent Rhythm : 57.91 %
- Percent Error :
42.09 %
- p-Value (H0: Amplitude=0) : 0.0000
1.3.
Chronobiometric test :
- Ellipse Test (H0: β=0 And γ=0) for T = 2.4700000E+01 is significant at the
probability level : 0.9500
- Area of the Confidence Ellipse : 1.46E-02
1.4.
Residuals distribution - Goodness of fit :
- Ajusted r² : 1.00E+00
- K-S Test (H0: Normal residuals distribution) is not
significant at the probability level : 0.9500
- k²
Test (H0: Normal residuals distribution) is not significant at the probability
level : 0.9500
- Average Test (H0: RS Average = 0) is not significant at the
probability level : 0.9500
- Q Test (H0: Independent Residues) is significant at the
probability level : 0.9500
Serie
n°5
Solution
model : 7.75E-02Cos(2π t/24.70)+4.76E-02Sin(2π t/24.70)+3.68E+01
Initial
model : 9.09E-02Cos((2π t/24.70)-5.51E-01)+3.68E+01
- Model (ANOVA) is valid at the probability
level : 0.9500
1.1.
Chronobiometric values :
- Amplitude :
9.09E-02
Amplitude Standard Error
: 2.32E-02
CI of Amplitude :
[4.71E-02 ; 1.35E-01]
- Dephasing -
Chronobiometric Acrophase (Radians)
: -5.51E-01
Dephasing Standard Error
: 2.48E-01
CI of Dephasing : [-1.09E+00
; -1.63E-02]
- Dephasing -
Chronobiometric Acrophase (Degrees)
: -3.16E+01
Dephasing Standard Error
: 1.42E+01
CI of Dephasing :
[-6.22E+01 ; -9.34E-01]
- Shifting - Chronobiometric
MESOR :
3.68E+01
Shifting Standard Error
: 1.63E-02
CI of Shifting : [3.67E+01 ;
3.68E+01]
1.2.
Chronobiometric parameters :
- Percent Rhythm : 17.78 %
- Percent Error :
82.22 %
- p-Value (H0: Amplitude=0) : 0.0004
1.3.
Chronobiometric test :
- Ellipse Test (H0: β=0 And γ=0) for T = 2.4700000E+01 is significant at the
probability level : 0.9500
- Area of the Confidence Ellipse : 1.02E-02
1.4.
Residuals distribution - Goodness of fit :
- Ajusted r² : 1.00E+00
- K-S Test (H0: Normal residuals distribution) is not
significant at the probability level : 0.9500
- k²
Test (H0: Normal residuals distribution) is not significant at the probability
level : 0.9500
- Average Test (H0: RS Average = 0) is not significant at the
probability level : 0.9500
- Q Test (H0: Independent Residues) is significant at the
probability level : 0.9500
Serie
n°6
Solution
model : -1.07E-01Cos(2π t/24.70)-3.61E-01Sin(2π t/24.70)+3.68E+01
Initial
model : 3.76E-01Cos((2π t/24.70)-4.42E+00)+3.68E+01
- Model (ANOVA) is valid at the probability
level : 0.9500
1.1.
Chronobiometric values :
- Amplitude :
3.76E-01
Amplitude Standard Error : 2.87E-02
CI of Amplitude :
[3.21E-01 ; 4.32E-01]
- Dephasing -
Chronobiometric Acrophase (Radians)
: -4.42E+00
Dephasing Standard Error : 7.09E-02
CI of Dephasing :
[-4.57E+00 ; -4.28E+00]
- Dephasing -
Chronobiometric Acrophase (Degrees)
: -2.53E+02
Dephasing Standard Error : 4.06E+00
CI of Dephasing :
[-2.62E+02 ; -2.45E+02]
- Shifting - Chronobiometric
MESOR :
3.68E+01
Shifting Standard Error
: 1.97E-02
CI of Shifting
: [3.68E+01 ; 3.69E+01]
1.2.
Chronobiometric parameters :
- Percent Rhythm : 69.96 %
- Percent Error :
30.04 %
- p-Value (H0: Amplitude=0) : 0.0000
1.3.
Chronobiometric test :
- Ellipse Test (H0: β=0 And γ=0) for T = 2.4700000E+01 is significant at the
probability level : 0.9500
- Area of the Confidence Ellipse : 1.50E-02
1.4.
Residuals distribution - Goodness of fit :
- Ajusted r² : 1.00E+00
- K-S Test (H0: Normal residuals distribution) is not
significant at the probability level : 0.9500
- χ² Test (H0: Normal residuals distribution) is not significant at
the probability level : 0.9500
- k²
Test (H0: Normal residuals distribution) is not significant at the probability
level : 0.9500
- Average Test (H0: RS Average = 0) is not significant at the
probability level : 0.9500
- Q Test (H0: Independent Residues) is significant at the
probability level : 0.9500
Serie
n°7
Solution
model : -1.92E-01Cos(2π t/24.70)-9.11E-02Sin(2π t/24.70)+3.66E+01
Initial
model : 2.13E-01Cos((2π t/24.70)-3.58E+00)+3.66E+01
- Model (ANOVA) is valid at the probability
level : 0.9500
1.1.
Chronobiometric values :
- Amplitude : 2.13E-01
Amplitude Standard Error
: 2.67E-02
CI of Amplitude :
[1.62E-01 ; 2.63E-01]
- Dephasing -
Chronobiometric Acrophase (Radians)
: -3.58E+00
Dephasing Standard Error
: 1.24E-01
CI of Dephasing :
[-3.84E+00 ; -3.33E+00]
- Dephasing -
Chronobiometric Acrophase (Degrees)
: -2.05E+02
Dephasing Standard Error
: 7.09E+00
CI of Dephasing :
[-2.20E+02 ; -1.91E+02]
- Shifting - Chronobiometric
MESOR :
3.66E+01
Shifting Standard Error
: 1.88E-02
CI of Shifting : [3.65E+01 ; 3.66E+01]
1.2.
Chronobiometric parameters :
- Percent Rhythm : 46.85 %
- Percent Error :
53.15 %
- p-Value (H0: Amplitude=0) : 0.0000
1.3.
Chronobiometric test :
- Ellipse Test (H0: β=0 And γ=0) for T = 2.4700000E+01 is significant at the
probability level : 0.9500
- Area of the Confidence Ellipse : 1.37E-02
1.4.
Residuals distribution - Goodness of fit :
- Ajusted r² : 1.00E+00
- K-S Test (H0: Normal residuals distribution) is not
significant at the probability level : 0.9500
- k²
Test (H0: Normal residuals distribution) is not significant at the probability
level : 0.9500
- Average Test (H0: RS Average = 0) is not significant at the
probability level : 0.9500
- Q Test (H0: Independent Residues) is significant at the
probability level : 0.9500
Serie
n°8
Solution
model : 3.11E-02Cos(2π t/24.70)-1.76E-01Sin(2π t/24.70)+3.68E+01
Initial
model : 1.79E-01Cos((2π t/24.70)-4.89E+00)+3.68E+01
- Model (ANOVA) is valid at the probability
level : 0.9500
1.1.
Chronobiometric values :
- Amplitude :
1.79E-01
Amplitude Standard Error
: 2.16E-02
CI of Amplitude : [1.35E-01 ; 2.23E-01]
- Dephasing -
Chronobiometric Acrophase (Radians)
: -4.89E+00
Dephasing Standard Error
: 1.18E-01
CI of Dephasing :
[-5.12E+00 ; -4.65E+00]
- Dephasing -
Chronobiometric Acrophase (Degrees)
: -2.80E+02
Dephasing Standard Error
: 6.76E+00
CI of Dephasing :
[-2.93E+02 ; -2.67E+02]
- Shifting - Chronobiometric
MESOR :
3.68E+01
Shifting Standard Error : 1.52E-02
CI of Shifting
: [3.67E+01 ; 3.68E+01]
1.2.
Chronobiometric parameters :
- Percent Rhythm : 45.49 %
- Percent Error :
54.51 %
- p-Value (H0: Amplitude=0) : 0.0000
1.3.
Chronobiometric test :
- Ellipse Test (H0: β=0 And γ=0) for T = 2.4700000E+01 is significant at the
probability level : 0.9500
- Area of the Confidence Ellipse : 8.88E-03
1.4.
Residuals distribution - Goodness of fit :
- Ajusted r² : 1.00E+00
- K-S Test (H0: Normal residuals distribution) is not
significant at the probability level : 0.9500
- k²
Test (H0: Normal residuals distribution) is significant at the probability
level : 0.9500
- Average Test (H0: RS Average = 0) is not significant at the
probability level : 0.9500
- Q Test (H0: Independent Residues) is significant at the
probability level : 0.9500
Serie
n°9
Solution
model : 3.04E-02Cos(2π t/24.70)-3.61E-01Sin(2π t/24.70)+3.67E+01
Initial
model : 3.62E-01Cos((2π t/24.70)-4.80E+00)+3.67E+01
- Model (ANOVA) is valid at the probability
level : 0.9500
1.1.
Chronobiometric values :
- Amplitude :
3.62E-01
Amplitude Standard Error
: 2.37E-02
CI of Amplitude :
[3.15E-01 ; 4.10E-01]
- Dephasing -
Chronobiometric Acrophase (Radians)
: -4.80E+00
Dephasing Standard Error
: 6.30E-02
CI of Dephasing :
[-4.92E+00 ; -4.67E+00]
- Dephasing -
Chronobiometric Acrophase (Degrees)
: -2.75E+02
Dephasing Standard Error
: 3.61E+00
CI of Dephasing :
[-2.82E+02 ; -2.68E+02]
- Shifting - Chronobiometric
MESOR : 3.67E+01
Shifting Standard Error
: 1.65E-02
CI of Shifting
: [3.67E+01 ; 3.68E+01]
1.2.
Chronobiometric parameters :
- Percent Rhythm : 74.45 %
- Percent Error :
25.55 %
- p-Value (H0: Amplitude=0) : 0.0000
1.3.
Chronobiometric test :
- Ellipse Test (H0: β=0 And γ=0) for T = 2.4700000E+01 is significant at the
probability level : 0.9500
- Area of the Confidence Ellipse : 1.05E-02
1.4.
Residuals distribution - Goodness of fit :
- Ajusted r² : 1.00E+00
- K-S Test (H0: Normal residuals distribution) is not
significant at the probability level : 0.9500
- k²
Test (H0: Normal residuals distribution) is significant at the probability
level : 0.9500
- Average Test (H0: RS Average = 0) is not significant at the
probability level : 0.9500
- Q Test (H0: Independent Residues) is significant at the
probability level : 0.9500
2.
Results for all data
Solution
model : -2.96E-02Cos(2π t/24.70)-2.04E-01Sin(2π t/24.70)+3.68E+01
Initial
model : 2.06E-01Cos((2π t/24.70)-4.57E+00)+3.68E+01
- Model (ANOVA) is valid at the probability
level : 0.9500
2.1.
Chronobiometric values :
- Amplitude :
2.06E-01
Amplitude Standard Error
: 1.24E-02
CI of Amplitude :
[1.83E-01 ; 2.30E-01]
- Dephasing - Chronobiometric Acrophase (Radians) : -4.57E+00
Dephasing Standard Error
: 5.62E-02
CI of Dephasing :
[-4.68E+00 ; -4.46E+00]
- Dephasing -
Chronobiometric Acrophase (Degrees)
: -2.62E+02
Dephasing Standard Error
: 3.22E+00
CI of Dephasing :
[-2.68E+02 ; -2.55E+02]
- Shifting - Chronobiometric
MESOR :
3.68E+01
Shifting Standard Error
: 8.53E-03
CI of Shifting : [3.68E+01 ; 3.68E+01]
2.2.
Chronobiometric parameters :
- Percent Rhythm : 28.23 %
- Percent Error :
71.77 %
- p-Value for H0 (Amplitude=0) : 0.0000
2.3.
Chronobiometric test :
- Ellipse Test (H0: β=0 And γ=0) for T = 2.4700000E+01 is significant at the
probability level : 0.9500
- Area of the Confidence Ellipse : 2.71E-03
2.4.
Residuals distribution - Goodness of fit :
- Ajusted r²
: 1.00E+00
- Residual Sums of Squares
: 3.80E+01
- k²
Test (H0: Normal residuals distribution) is significant at the probability
level : 0.9500
- K-S Test (H0: Normal residuals distribution) is significant
at the probability level : 0.9500
- Average Test (H0: RS Average = 0) is not significant at the
probability level : 0.9500
- Q Test (H0: Independent Residues) is significant at the
probability level : 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