Statistics

In this version of the program a series of points is estimated as time-invariant flow of points (X, Y). Time (sequence number, parameter Z), X, Y sizes of a point are unused.

Information on correlations the points;  Information on interfacing the points; Regression line Confidence Ellipse

The equation for the correlation coefficient is:

Where r(X,Y), the correlation coefficient (Pearson correlation coefficient), ranging from -1 to 1, calculated on all points you selected. Use the correlation coefficient to determine the relationship between two properties.

Confidence Ellipse illustrates a probability distribution on different directions. Its "Volume" is proportional to the square root of a generalized dispersion.

Interfacing factor:

    f2(X,Y,N) = sum( i, j )(Nij*Nij/Ni/Nj) - 1

• Nij - points in cell ( Xi, Yj );
• Ni - points in row ( Xi );
• Nj - points in line ( Yj ).

The interfacing factor f2 of two random variables is based on a contingency table. f2 measures relation between X and Y. f2  reaches max when each line or each member contains only one member which is distinct from 0.

See example.

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