Correlation and Regression Modeling of Perceived Local Social Support and Household Waste-Management Compliance: A Sample Survey Analysis in Indonesia

Survey-based studies of environmental behavior require measurement and modeling procedures that yield reliable and robust estimates of association. This study applies a correlation–regression modeling framework to quantify the association between perceived local social support and residents’ compliance with household waste-management practices in Indonesia. Data were obtained from a cross-sectional sample survey of 385 adult residents, with the minimum sample size determined using Cochran’s formula. Both constructs were measured using five-point Likert-scale instruments, and instrument reliability was evaluated using corrected item–total correlations and Cronbach’s alpha. After distributional assumptions were examined, the association was estimated using Pearson’s product–moment correlation with a 95% confidence interval, verified using Spearman’s rank correlation as a nonparametric robustness check, and modeled using simple linear regression. Both scales showed high internal consistency (α = 0.923 and α = 0.928). The Pearson correlation was positive and moderate (r = 0.523, 95% CI [0.446, 0.592], p < 0.001), and the Spearman estimate was consistent (ρ = 0.531, p < 0.001). The regression model produced a positive slope (B = 0.502, p < 0.001) with a coefficient of determination of R² = 0.274. The agreement between parametric and nonparametric estimates indicates that the association is robust to distributional assumptions. Because the design is cross-sectional and the sample was drawn purposively, the estimates describe association rather than causation. The study illustrates a transparent statistical workflow for analyzing Likert-scale survey data in applied environmental research.

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Publication Details

Journal
International Journal of Mathematics Statistics and Computing
Published
2026-11-02
DOI
https://doi.org/10.46336/ijmsc.v4i4.398
Primary Topic
Waste Management and Recycling
Type
article
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article

Correlation and Regression Modeling of Perceived Local Social Support and Household Waste-Management Compliance: A Sample Survey Analysis in Indonesia

Mugi Lestari, Audrey Ariij Sya’imaa HS
International Journal of Mathematics Statistics and Computing
Waste Management and Recycling
article

Correlation and Regression Modeling of Perceived Local Social Support and Household Waste-Management Compliance: A Sample Survey Analysis in Indonesia

Mugi Lestari, Audrey Ariij Sya’imaa HS
article en

Abstract

Survey-based studies of environmental behavior require measurement and modeling procedures that yield reliable and robust estimates of association. This study applies a correlation–regression modeling framework to quantify the association between perceived local social support and residents’ compliance with household waste-management practices in Indonesia. Data were obtained from a cross-sectional sample survey of 385 adult residents, with the minimum sample size determined using Cochran’s formula. Both constructs were measured using five-point Likert-scale instruments, and instrument reliability was evaluated using corrected item–total correlations and Cronbach’s alpha. After distributional assumptions were examined, the association was estimated using Pearson’s product–moment correlation with a 95% confidence interval, verified using Spearman’s rank correlation as a nonparametric robustness check, and modeled using simple linear regression. Both scales showed high internal consistency (α = 0.923 and α = 0.928). The Pearson correlation was positive and moderate (r = 0.523, 95% CI [0.446, 0.592], p < 0.001), and the Spearman estimate was consistent (ρ = 0.531, p < 0.001). The regression model produced a positive slope (B = 0.502, p < 0.001) with a coefficient of determination of R² = 0.274. The agreement between parametric and nonparametric estimates indicates that the association is robust to distributional assumptions. Because the design is cross-sectional and the sample was drawn purposively, the estimates describe association rather than causation. The study illustrates a transparent statistical workflow for analyzing Likert-scale survey data in applied environmental research.

International Journal of Mathematics Statistics and ComputingVol. 4(4)
Padjadjaran University (ID)
Openalex Percentile: Top 14%
Waste Management and Recycling
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Correlation and Regression Modeling of Perceived Local Social Support and Household Waste-Management Compliance: A Sample Survey Analysis in Indonesia — Mugi Lestari, Audrey Ariij Sya’imaa HS · International Journal of Mathematics Statistics and Computing (2026) | TGRS Research Map | TGRS