Date - time : 27/10/2003 09:51:27
Data file name : rats259.dta
Population Mean Cosinor Test for one chosen period -
Population Mean Cosinor generalized
Studied period (T) : 2.5900000E+01
1. Results by each series
Model equation : β cos(2π t/T) + γ sin(2π t/T) + α
Serie n°1
Solution model : 1.17E+01Cos(2π
t/25.90)-3.43E+00Sin(2π t/25.90)+1.44E+01
- Model
(ANOVA) is valid at the probability level
: 0.9500
Serie n°2
Solution model : 1.38E+01Cos(2π
t/25.90)-1.12E+01Sin(2π t/25.90)+2.10E+01
- Model
(ANOVA) is valid at the probability level
: 0.9500
Serie n°3
Solution model : 1.28E+01Cos(2π
t/25.90)-6.95E+00Sin(2π t/25.90)+1.32E+01
- Model
(ANOVA) is valid at the probability level
: 0.9500
2. Global results - Population Mean Cosinor Test
Number of
series : 3
Number of
observations : 23
Number of
models : 3
Level
probability of tests : 0.9500
Tested
period : 2.5900000E+01
2.1 Characteristic values of the
Harmonic Regression :
Variance
Sx² : 7.31E-01
Variance
Sy² : 9.99E+00
Correlation :
-9.98E-01
2.2 Parameters values of the Confidence
Ellipse:
Confidence
Ellipse Inclination (Geometrical) :
-2.64E-01
Confidence
Ellipse Inclination (Algebraical) :
2.88E+00
Major axis
(Geometrical)
: 1.07E+02
Major axis
(Algebraical) : 1.07E+02
Minor axis
(Geometrical)
: 1.82E+00
Minor axis
(Algebraical) : 1.82E+00
Area of the
confidence ellipse (Geometrical) :
1.52E+02
2.3 Main values of the global model(Chronobiometric values) :
- Amplitude :
1.47E+01
Confidence
Interval of the Amplitude (Geometrical) :
[1.37E+01 ; 1.56E+01]
Confidence
Interval of the Amplitude (Algebraical) :
[5.04E+00 ; 2.43E+01]
- Dephasing - Chronobiometric Acrophase (Radians) : -5.77E+00
Confidence
Interval of the Dephasing (Radians) (Geometrical) : [-6.03E+00 ; -5.51E+00]
Confidence
Interval of the Dephasing (Radians) (Algebraical) : [-5.93E+00 ;
-5.61E+00]
- Dephasing - Chronobiometric Acrophase (Degrees) : -3.31E+02
Confidence
Interval of the Dephasing (Degrees) (Geometrical) : [-3.46E+02 ; -3.16E+02]
Confidence
Interval of the Dephasing (Degrees) (Algebraical) : [-3.40E+02 ;
-3.21E+02]
- Shifting -
Chronobiometric MESOR : 1.62E+01
Confidence
Interval of the Shifting (Statistical) :
[9.01E+00 ; 2.35E+01]
Confidence
Interval of the Shifting (Algebraical) :
[1.78E+00 ; 3.07E+01]
2.4 Chronobiometric parameters :
- Percent Rhythm : 67.12 %
- Percent Error :
32.88 %
- p-Value (H0: Amplitude=0) : 0.0053
2.5 Test parameters and results of the
Population Mean Cosinor test :
F
Snedecor (2, 1) : 199.50
T²
Hotelling : 798.00
Confidence area :
1.61E+02
Limit
of confidence : 1.21E+00
-
Ellipse Test (H0: β=0 And γ=0)
for T = 2.5900000E+01 H0 rejected : 0.9500
-
0rigin (O) is outside of the confidence ellipse
- Bartlett Test (H0: s²1 = … = s²i) H0 accepted : 0.9500
- KW Test (H0: Samples from same population)
H0 accepted : 0.9500
- Global
model : 1.28E+01Cos(2π
t/2.59E+01)-7.18E+00Sin(2π t/2.59E+01)+1.62E+01
- Initial
model : 1.47E+01Cos((2π
t/2.59E+01)-5.77E+00)+1.62E+01
2.6 Residuals distribution - Goodness of
fit :
- Ajusted r² : 8.22E-01
- K-S Test (H0: Normal residuals distribution) H0
rejected
- χ²
Test (H0: Normal residuals distribution) H0 rejected
- Average Test (H0: SResiduals Average=0) H0 accepted
- Q Test (H0: Independent Residues) H0 accepted
- KW Test is the Kruskall
and Wallis test
- 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