Data series are loaded from ASCII files (tabulated, fixed spaced or with separators: blanks, colons, etc.) and before the analysis they can be submitted to:
Transformations: linear, logarithmic and exponential.
Elimination of extreme values (outliers).
Smoothing (moveable average) and residual moveable average (high pass filter).
Data grouping or alternate data elimination.
A filter unit including*:
- 4 filters: low-pass, high-pass, band-pass and band-reject.
- 6 windows: triangular, rectangular, Hamming, Hanning, Blackman and Kaiser.
- 4 derived series: differentials, additives, surrogate and isospectral surrogate.
- 3 types of detrending: lineal, quadratic and cubic.
- 5 types of rescaling: displacement with minimum=0, displacement with mean=0, range from 0 to 100, normalization, normalization with minimum=0
Series can be defined as linear combination of previously defined series or by the subtracting the estimated values of from a correlated series.
* These features are only available in the Plus version
All analysis elements are graphically presented on a worksheet and accept data series for the analysis. Associated numeric reports can be printed in the "Report" window or included in the same worksheet via a "Label" element. Additionally they have specific tools" to perform interactive calculations over the element itself.
- N-plot, up to 9 times.
- 17 styles: density of lines (w/wo basal line), vertical lines (w/wo basal line), histogram, seismogram, profile, on-off, greys and 8 colour scales.
- Separation between lines can be defined.
- 7 modes to define the scale: manual, percentile, symmetric percentile and parametric. All (except the first) can be done direct and inverse.
- Optional moveable average.
- Up to 4 superimposed bars to mark (or fit) onsets, offsets or other points. 6 methods of fitting: manual and 5 LS (triangular, squared, saw tooth (direct and inverse) and pulse.
- Sokolove-Bushell: Interpolated method optional (high precision). Result expressed as % of variance or Qx.
- MESA (Maximum Entropy Spectral Analysis): Unlimited number of poles.
- Regressive: up to 7 harmonics.
- 7 styles: dots, lines, dots & lines, steps, bars (b/w) and vertical lines.
- N-plot, up to 8 times.
- 4 styles of dispersion for the 3 types: sd, e, fl.
- Representation of the mean or the median.
- Up to 4 intervals in the same graph with 5 different styles.
- Mean of average-waveforms:
- It has the same properties of the element average-waveform.
- Accepts up to 32 waveform, even with different periods.
- Specific delay can be defined for each waveform.
- Fourier analysis:
- Can be used with unevenly sampled data.
- Up to 40 harmonics.
- 6 types of analysis: power spectra, amplitude spectra, phase spectra, synthesis of Fourier (global or separating the harmonics, and up to 8 replicas) and first derivative.
- Numeric results include (for each harmonic): period, Euler's coefficients (a, b), amplitude, phase (time and radians), significance, Snedecor's F, power, cumulated power.
- Cosinor analysis:
- Up to the 25th harmonic.
- Mesor inside the graph, outside or numeric.
- Confidence ellipse and fiducial limits of the acrophase.
- 3 styles of vector: line arrow or circle ended.
- Circle and axis fully customizable.
- Dark phase included in the scale.
- Vector scale: automatic, cross, orientable, etc.
- Rayleigh test (circular statistics):
- Unlimited number of points entered: manually, from a series or automatically.
- Accept both radians and time units.
- Circle and axis fully customizable, independently of the used units.
- Threshold optional.
- Individual values inside or outside the circle with 5 styles: b/w circle, b/w triangle and lines.
- Circular dispersion (sd or fiducial limits) optional.
- 3 styles for the mean vector: line arrow or circle ended.
- Serial analysis:
- 16 types of analysis: graphic matrix (power spectra up to 25 harmonics), power content, amplitudes, phases, cumulated power, total activity, mean, mesor, definable partial sum, acrofase, maximum, centre of gravity, positive flank, negative flank, double flank and alpha phase.
- Tracking function for phases: number of points and tolerance variables.
- 7 methods to calculate flanks and alpha phase: Heaviside function with respect continuous or dichotomized data, synthetic rectangular function with respect continuous or dichotomized data (referred to the absolute or relative mean or median) and maximum step.
- Period, length and step can be defined separately.
- 17 styles for the graphic matrix: density of lines (w/wo basal line), vertical lines (w/wo basal line), histogram, seismogram, profile, on-off, greys and 8 colour scales.
- 7 modes to define the scale of the graphic matrix: manual, percentile, symmetric percentile and parametric. All (except the first) can be done direct and inverse.
- Dimensional analysis and predictability *:
-- 3 types: 2D, 2D differential and 3D, with variable lag.
-- 6 types of 3d representation: wo. axis, XYZ axis, XYZ planes, 3 visible axis, 3 visible planes and cube.
-- Fully interactive 3D viewer: distance, elevation an azimuth definable.
-- Automatic rotation.
Simplex analysis (predictability):
-- 2 types of graph: with respect the number of dimensions or with respect the time.
-- Up to 120 predicted points.
-- Lag and neighbours (up to 32) definable.
-- Lag and number of dimensions (up to 32) definable.
-- Up to 120 points per curve.
-- Interactive selection of curves sections directly with the mouse.
Lyapunov exponents (currently testing):
-- 2 algorithms Kantz or Rosenstein.
Fractal dimension (not finished).
- Fractal and complexity analysis *:
- 5 methods for the analysis of the fractal structure: autocorrelation (AC), power spectral density analysis (PSDA), scaled windowed variance analysis (SWV), bridge detrended scaled windowed variance analysis (bdSWV), dispersional analysis and detrended fluctuation analysis (DFA).
- 4 methods for spectral and complexity analysis: power spectral density analysis (PSD), general spectral analysis (GSA), coarse grained spectral analysis (CGSA), harmonic residual analysis (HRA).
- 3 types of window for PSD, GSA, CGSA y RHA: Bingham, Hanning and Parzen.
- 2 methods for entropy analysis: approximate entropy (ApEn) and sampled entropy (SampEn).
- Enhanced actogram* and wave-substractor:
- Subtracts a waveform calculated in a "mean waveform" element.
- Hough transformation to identification of lines and "bars" in the actogram.
- Graphic manipulation of actogram through sequences of graphic operations*:
-- 8 filters including convolutions.
-- 29 neighbourhood operations.
-- 14 properties including entropy, variance, correlation, contrast, etc.
-- 10 singular operations including logarithm, inverse, etc.
-- 5 transformations including histograms and normalization.
-- 5 complementary operations and 6 tracking methods.
- Wavelet analysis * (not available yet).
* These features are only available in the Plus version
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Accessory elements can be included independently on the worksheet, or linked to other "analysis elements". In this case many of its properties (size, units, position, etc.) are adapted to that element.
Vertical and horizontal axis: Axis label, labels, primary and secondary tics, and transforms can be defined by the user. Both numeric and data/time format are allowed.
LD vertical axis: Tics and labels to indicate lighting and experimental conditions through an experiment.
LD horizontal bars: 16 types of bars to show graphically light patterns (typically used with the actograms) or other experimental conditions during a cycle (usually a day).
Labels: 9 types (w/wo shadow). Date, time, version and file can be automatically included. When linked to an analysis element, the series name or the report is showed.
Marks: small geometric figures (square, triangle, arrow, etc.) or lines. When linked to an element can be analytically positioned over it.
Colour scales to be associated to coloured actograms.
Images coming from graphic files (bmp, emf, wmf, gif, jpg, png) can be included on the worksheet.
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Each analysis element has an associated specific tool that allows the user to interact directly (with the mouse) on the element to perform different operation like point estimations, regression line calculation, etc. In the case of actograms the tool can be used to estimate graphically the period, to calculate phase shifts, time intervals and predicted times. All these values are internally stored and can be used to define different parameters of the elements. In the case of average-waveforms, the tool calculates the area under the curve (and many other associated values and indexes) for a specific interval of the graph, including the comparison (Student's t test) of the interval to the rest of the curve. Polygonal areas can also be calculated over the graph.
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Utilities: some are accessory elements that can be included in the worksheet (LD scheduler and experiment designer) and other are independent windows with specific purposes.
The calendar calculator is a window showing simultaneously two calendars to calculate time differences between two dates or to estimate one date in bases to de distance to another.
The engine is a window used to program calculations (including graphic and report printing) for large sequences of data series. Calculations are done sequentially (batch mode).
LD scheduler is an accessory element to represent graphically an LD pattern. This is very useful to plan experiments and to know the exact time of lights on and off, every day.
Experiment designer allows the representation of the different phases and conditions of an experiment in a single-plot manner.
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GeneralAll elements are fully editable: numeric and visual properties, size, position, etc. and can be copied grouped, stacked, linked to other elements, etc.
Selected areas of the worksheet or elements can be exported in most popular formats: bmp, emf, wmf, gif, jpg, png.
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