Data analysis Function

Function Name	Description
Calculate covariance matrix	Function returns covariance matrix between the variables
Calculate correlation matrix	Function returns correlation matrix between the variables
Calculate euclidean distance	Function returns euclidean distance between the variables
Calculate manhattan distance	Finding the sum of the absolute differences between the coordinates of two points in a grid-like path
Calculate minkowski distance	Involves using a generalized formula that incorporates the Manhattan and Euclidean distances
Calculate cosine similarity	This function computes Cosine Similarity between specified columns or rows in the dataframe
Calculate jaccard index	Involves dividing the size of the intersection of two sets by the size of their union
Calculate hamming distance	Calculates the number of differing bits between two equal-length binary strings, quantifying their dissimilarity or similarity
Low pass filter	Allows frequency which are below the specified cut off frequency
Fft transform	Efficient algorithm to compute the discrete Fourier transform (DFT) and its inverse
Wavelet transform	Transform decomposes a signal into different frequency components with varying resolutions, capturing both time and frequency information efficiently
Band pass filter	Allows signals within a specific frequency range to pass through while attenuating frequencies outside this range
High pass filter	Allows signals with frequencies higher than a certain cutoff frequency to pass through while attenuating lower frequencies
Spearman rank correlation continuous	Measures the strength and direction of a monotonic relationship between two variables
Point biserial correlation continuous	Measures the relationship between a continuous variable and a binary variable
Intraclass correlation	Assesses the reliability or agreement of measurements made by different observers measuring the same quantity
Polychoric correlation	Estimates the relationship between two ordinal variables by assuming an underlying bivariate normal distribution
Tetrachoric correlation	Estimates the relationship between two binary variables by assuming an underlying bivariate normal distribution
Canonical correlation	Measures the relationship between two sets of variables by finding linear combinations that maximize the correlation between the sets
Partial correlation	Measures the relationship between two variables while controlling for the influence of one or more additional variables
Manhattan dissimilarity	Measures the distance between two points by summing the absolute differences of their coordinates
Canberra distance	Quantifies the dissimilarity between two vectors by summing the normalized absolute differences between their corresponding elements
Bray curtis dissimilarity	Calculates the dissimilarity between two sets of counts or abundances by considering the sum of the absolute differences in their counts
Kendalls tau	Measures the ordinal association between two variables
Phi coefficient	Quantifies the association between two binary variables
Cramers v	Measure of association between two nominal (categorical) variables, similar to the phi coefficient but applicable to larger contingency tables
Hoeffdings d	Measure that quantifies the difference between two distributions based on their empirical cumulative distribution functions (CDFs)
Lyapunov exponent	Measures the rate of divergence or convergence of nearby trajectories in a dynamical system
Calculate dfa	Calculates Detrended Fluctuation Analysis (DFA) metrics for time series data
Cross spectral analysis	Perform cross-spectral analysis on exactly two specified columns
Calculate spectral entropy	Calculates spectral entropy for data
Coherence analysis	Perform coherence analysis on exactly two specified columns
Calculate phase lock value	Calculates the Phase Lock Value (PLV) between two signals in a DataFrame based on the provided columns and time column
Calculate recurrence quantification	This function performs Recurrence Quantification Analysis (RQA) on two specified signal columns
Detrended Fluctuation Analysis	This function calculates Detrended Fluctuation Analysis (DFA) metrics for time series data
Spectrogram analysis	This function performs Spectrogram analysis on specified columns of dataframe
Partial auto corr analysis	This function performs Partial Auto Correlation Function (PACF) analysis on the specified columns of the dataframe
Auto-Correlation Function	This function performs Auto-Correlation Function (ACF) analysis on the specified columns of the dataframe
PSD analysis	This function performs Power Spectral Density (PSD) analysis on the specified time series columns of the dataframe
Signal envelope analysis	This function applies Signal Envelope Analysis to the specified columns of the dataframe
Mahalanobis distance	This function applies Mahalanobis Distance to the specified columns of the dataframe
Gower's Distance	This function applies Gower's Distance to the specified columns of the dataframe to compute the dissimilarity between mixed data types
Guttman's Lambda	This function applies Guttman's Lambda to the specified columns of the dataframe
Eta Squared (ANOVA)	This function calculates Eta Squared for the specified columns of the dataframe as part of an Analysis of Variance (ANOVA)
Zero Crossing Analysis	This function performs Zero Crossing Analysis on the specified time series or signal data columns in the dataframe
Harmonic Analysis	This function performs Harmonic Analysis on the specified columns of the dataframe
Calculate fractal dimension	This function calculates the Fractal Dimension for the specified columns of the dataframe