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Data from: Testing of the effect of missing data estimation and distribution in morphometric multivariate data analyses

Citation

Brown, Caleb Marshall; Arbour, Jessica H.; Jackson, Donald A. (2012), Data from: Testing of the effect of missing data estimation and distribution in morphometric multivariate data analyses, Dryad, Dataset, https://doi.org/10.5061/dryad.m01st7p0

Abstract

Missing data are an unavoidable problem in biological datasets and the performance of missing data deletion and estimation techniques in morphometric datasets are poorly understood. Here a novel method is used to measure the introduced error of multiple techniques on a representative sample. A large sample of extant crocodilian skulls was measured and analyzed with principal components analysis (PCA). Twenty-three different proportions of missing data were introduced into the dataset, estimated, analyzed, and compared to the original result using Procrustes superimposition. Previous work investigating the effects of missing data input missing values randomly, a non-biological phenomenon. Here, missing data were introduced into the dataset using three methodologies: purely at random, as a function of the Euclidean distance between respective measurements (simulating anatomical regions), and as a function of the portion of the sample occupied by each taxon (simulating unequal missing data in rare taxa). Gower’s distance was found to be the best performing non-estimation method, and Bayesian PCA the best performing estimation method. Specimens of the taxa with small sample sizes and those most morphologically disparate had the highest estimation error. Distribution of missing data had a significant effect on the estimation error for almost all methods and proportions. Taxonomically biased missing data tended to show similar trends to random, but with higher error rates. Anatomically biased missing data showed a much greater deviation from random than the taxonomic bias, and with magnitudes dependent on the estimation method.

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