Grid Analysis Options

Idiogrid offers a wide array of statistical analyses commonly employed by personality psychologists, self-concept researchers, and clinical psychologists, among others. Idiogrid also exports grids to both SAS and SPSS where additional analyses can be employed. If a particular analysis is not available in Idiogrid, it can likely be found in one of these major statistical programs. Idiogrid currently offers the following analyses:

• Entire Grid, Element, and Construct Descriptive Statistics
• Basic descriptive statistics (e.g., means, standard deviations, skew, etc.)
• Scale distributions (histograms)
• Extremity analysis (extent to which participant uses the extreme ends of the rating scales)

• Element and Construct Bivariate Statistics
• Pearson Correlations
• Angles (degrees)
• Euclidean Distances
• City-block Distances
• Proximities for binary grids

• Summary Indices
• Bieri's matching score
• Polar matches for elements
• Landfield's Ordination
• Bannister and Fransella's Intensity
• Analysis of Variance of the entire grid that yields Cronbach's alpha for the constructs and elements

• Singular Value Decomposition
• Performed on original grid data, scale-centered data, standardized grid data, or Euclidean distances.
• Singular values and scree plot
• Extract desired number of components
• Two-dimensional graphical display of results

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• Principal Components Analysis
• Performed on the construct correlations or covariances.
• Eigenvalue decomposition and scree plot
• Extract desired number of components
• Communalities
• Structure, Pattern, and Component Score coefficients
• Component scores
• Save component scores as new grid
• Component correlations
• Varimax and Promax rotations
• Two-dimensional graphical display of components

• Multiple Group Components Analysis (Confirmatory Principal Components Analysis)
• Define components with equal or differential weights
• Orthogonal (uncorrelated) and oblique (correlated) principal components solutions
• Eigenvalues and scree plot
• Final communalities
• Structure and Pattern coefficients
• Component correlations
• Component scores
• Save component scores as new grid
• Residual correlation matrix
• Statistics for residual correlation matrix (indices for goodness of fit)

• Generalized Procrustes Analysis (Analyze Multiple Grids)
• Match grids by constructs or elements
• Centered, Dimension, and Isotropic scaling methods available
• Conduct and report ANOVA of grids, including overall consensus proportion
• Print and save consensus grid
• Print and save Procrustes statistics.
• Conduct randomization test for overall consensus proportion

• Slater Analysis (Single Grid)
• Analyze raw or normalized grid
• Principal Components Analysis
• Element and Construct descriptive statistics
• Bias and Variability for rating grids
• Element direction cosines and construct correlations
• Element-Construct direction cosines
• Element Euclidean distances (raw and standardized

• Slater Analysis (Two Grids)
• Descriptive statistics for differences between centered grids
• General degree of correlation between two grids
• Element and Construct descriptive statistics for both grids
• Element and Construct correlations across both grids
• Element and Construct differences across both grids

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• Slater Analysis (Multiple Grids)
• General Correlation among element angles
• General Correlation among construct angles
• Correlations between individual grids and average grid
• Display and save average grid

• Self-Identity Plot
• Two-dimensional graphical display of standardized Euclidean distances for any pair of elements

• Compare Two Grids
• Elements Matched
• General correlation between grid elements
• Differences between angular distances
• Construct squared multiple correlations
• Constructs Matched
• General correlation between grid constructs
• Differences between angular distances
• Element squared multiple correlations
• Elements and Constructs Matched
• Display difference grid
• Save difference grid as new grid
• General correlation between grids

• Coordinate Grid Analysis
• Descriptive statistics
• Figure rank-order correlations
• Implicit rankings
• Logical inconsistencies
• Integrative complexity
• Iterate to logical consistency

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• Polarity Analysis
• Element emergent proportions (that is, the proportion which the elements are rated on the emergent poles of the constructs)
• Element pairwise polar matches
• Target element proportions / matches

• Dependency Analysis
• Dispersion of dependency index
• Uncertainty indices
• Uncertainty coefficients

• Implicative Dilemmas
• Identifies and reports implicative dilemmas
• Report dilemmas in a user-friendly sentence form

• Profile Analysis
• Base analysis on Pearson's r, Euclidean distances, City-block distances, and reflected double-centered Euclidean distances
• Randomization test of significance for chosen metric
• Cluster analysis
• Profile plots (original data and standardized)
• Ranked profile statistics
• Measures of elevation, scatter, and dispersion