Table 1.

Decision logic for retaining the three-cluster psychological typology in the exploratory clustering procedure.

Decision aspect	Rationale	Interpretive role in this study
Measurement basis	The three psychological dimensions were derived from the validated questionnaire structure, including self-esteem and inferiority, loneliness and loss, and sensitivity and fear.	Provides the psychological structure for subgroup classification and ensures that the clustering procedure is grounded in the measurement design rather than in arbitrary grouping.
Exploratory clustering logic	Hierarchical clustering was first used to inspect whether the standardized psychological variables formed interpretable subgroup structures. K-means clustering was then used to refine group membership.	Explains why a two-step clustering strategy was adopted and how the final typology was generated from the questionnaire data.
Cluster interpretability	The three-cluster solution produced clearly distinguishable psychological profiles: an intermediate group, a psychologically vulnerable or sub-healthy group, and a healthier group.	Supports the use of PTA, PTB, and PTC as meaningful psychological types rather than as minor statistical fluctuations.
Subgroup usability	Each cluster contained a sufficient number of cases for subsequent descriptive comparison and inferential analysis.	Avoids excessive fragmentation of the sample and allows meaningful comparison of residential preferences, activity participation, and facility demands across groups.
Analytical consistency	The retained psychological types corresponded meaningfully with differences in physical function, residential preference, activity participation, color preference, and supportive facility demand.	Links psychological classification to the human–environment systems framework and to the empirical analysis of residential demands.
Scope control	The typology is used for exploratory differentiation of residential demands rather than for clinical diagnosis or universal psychological classification.	Prevents overinterpretation of the clustering results and clarifies the boundary of the study's methodological claims.
Contribution to ISDM development	The three psychological types provide a basis for translating heterogeneous residential needs into differentiated inclusive spatial design strategies.	Connects the clustering results with the proposed inclusive spatial design model and supports the practical design-oriented contribution of the study.