Imputation Strategies for Clustering Mixed-Type Data with Missing Values
Rabea Aschenbruck (),
Gero Szepannek () and
Adalbert F. X. Wilhelm ()
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Rabea Aschenbruck: Hochschule Stralsund - University of Applied Sciences
Gero Szepannek: Hochschule Stralsund - University of Applied Sciences
Adalbert F. X. Wilhelm: Jacobs University Bremen
Journal of Classification, 2023, vol. 40, issue 1, No 2, 2-24
Abstract:
Abstract Incomplete data sets with different data types are difficult to handle, but regularly to be found in practical clustering tasks. Therefore in this paper, two procedures for clustering mixed-type data with missing values are derived and analyzed in a simulation study with respect to the factors of partition, prototypes, imputed values, and cluster assignment. Both approaches are based on the k-prototypes algorithm (an extension of k-means), which is one of the most common clustering methods for mixed-type data (i.e., numerical and categorical variables). For k-means clustering of incomplete data, the k-POD algorithm recently has been proposed, which imputes the missings with values of the associated cluster center. We derive an adaptation of the latter and additionally present a cluster aggregation strategy after multiple imputation. It turns out that even a simplified and time-saving variant of the presented method can compete with multiple imputation and subsequent pooling.
Keywords: Clustering; Imputation; Mixed-type data; Missing values (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:jclass:v:40:y:2023:i:1:d:10.1007_s00357-022-09422-y
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DOI: 10.1007/s00357-022-09422-y
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