Ploting data using OriginPro 7.5 and

STATISTICA 7.0 software

Drd. Emilia Dana Seleţchi

University of Bucharest, Faculty of Physics seletchi@gmail.com

OriginPro 7.5 applications

OriginPro 7.5 FFT analyze using the

histogram values of an X-ray CT scan

With histogram values, the FFT computes the Fourier Transform displaying the angle or the signal power

as a function of frequency A Gaussian fitting function is the best-fit model for angle data plot. The fit curve was plotted as a red line through the data plot.

Profile Plot and Profile Contour Plot of an X-ray CT brain scan

(RGB image, 1313 ×1293 pixels)

• Profile Plot displays a two-dimensional graph of the intensities of pixels along a line (x-axis or y axis).

• Contour Plot is useful for delineating organ boundaries in images. The X-ray CT image of the abnormal brain can also be plotted using a graph template that includes X and Y projections. While the X-ray CT scan show a tumor located at (x = 389.8 and y = 925.0), the Contour Plot (Fig. 2.b.) reveals additionally data about other brain tissue damages in both hemispheres.

OriginPro - 3D Color Surface Map and 3D Bars Graph of X-ray CT brain scan.

3D Color Surface Map displays a three-dimensional graph of the intensities of pixels in a gray scale or pseudo color image

3D Surface Plot of X-ray CT scan of the brain (ImageJ aplication)

The Polygon Multiplier values were: 20 % (a), 50 % (b) and 100 % (c).

a) b) c)

Plotting Data with ImageJ and OriginPro software

STATISTICA 7.0 applications

General categories of graphs performed with STATISTICA 7.0

Statistics performed with STATISTICA 7.0 software

General categories of graphs performed with STATISTICA 7.0 and OriginPro 7.5

Histogram of X-ray CT image performed by (a) STATISTICA 7.0 and OriginPro 7.5 software

a) b)

General categories of graphs performed with STATISTICA 7.0

(a) Mean with Error Plots based on histogram values of X-ray CT scan (Graph type: Whiskers – Multiple, Dependent variable: 1-3, Grouping variable 1

(b) Profile Plot of X-ray CT scan

a)b)

General categories of graphs performed with STATISTICA 7.0

Scatter Icon Plots based on histogram values of X-ray CT image (Selected variables for X, Y, Icon and Weight: 1, 1, 1-2, 1) performed by STATISTICA 6.0 software: (a) Polygons, (b) Lines

a) b)

Icon Plots represent individual units of observation as particular graphical objects where values of variables are distributed to specific features or dimensions of the objects. The values of variables in circular icon plots format (Polygon Icons) are represented by distances between the center (hub) of the icon and its edges. Icon plots were used in order to find systematic patterns or clusters of observations and to explore possible complex relations between several variables

General categories of graphs performed with STATISTICA 7.0

(a) Selected variable: 1 (b) Selected variable: 2

The Normal Probability Plots were used to evaluate the normality of the distribution of a variable.

2

σ

μx

2

1exp

π2σ

1f(x)

f(x) = the normal distribution function

σ = the standard deviation µ = the mean

General categories of graphs performed with STATISTICA 7.0

The Pie Charts are useful for representing proportion or values of variables, displaying either raw values or counts of specific values. The histogram values of the variable are represented as the ’’wedges’’ of the pie. The Counts Pie Chart (Frequency Pie Chart) classifies all values of the selected variable by displaying the relative frequencies as pie slices of proportional sizes (a,b). The Values Pie Chart (Data Pie Chart) interprets the data so that the sequence of values from the selected variable to be represented by consecutive slices of the pie and the size of each slice to be proportional with the respective value (c,d).

2D Pie Chart (Graph type: Counts, Variable 1) based on histogram values of X-ray CT image performed by STATISTICA 6.0 software – (a) Categories 5, (b) Categories 15

2D Pie Chart (Graph type: Values) based on histogram values of X-ray CT image performed by STATISTICA 6.0 software – (c) Variable 1, (d) Variable 2.

a) b) c) d)

General categories of graphs performed with STATISTICA 7.0

• The 3D Sequential Graphs are unique subset of 3D graphs showing representations of multiple sequences of values and /or their variability.

• The Surface Plot fits a spline-smoothed surface to each data point (a). • The Contour Plot represents a 2D projection of the spline-smoothed surface fit to the data, where successive values of each

series are plotted along x-axis and each successive series are represented along the y-axis (b).

3D Sequential Graph (Advanced 3D Raw Data Plot) based on histogram values of X-ray CT image performed by STATISTICA 6.0 software (a) Graph Type: Surface, selected variables: 1-6, (b) Graph type: Contour, selected variables: 1-3

a) b)

General categories of graphs performed with STATISTICA 7.0

The Tree Diagram performed with Cluster Analysis on Profile Plot values of an x-ray CT image