Development and cross-validation of LMS-based normative reference standards and health benefits zones for muscular strength among adolescents by age and sex

ObjectiveThis study aims to develop and validate age- and sex-specific normative reference standards for muscular strength (MS) using the LMS (Lambda–Mu–Sigma) method and to establish Health Benefit Zones (HBZs) for Pakistani adolescents aged 12–16 years.MethodsA cross-sectional study was conducted...

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Main Authors: Yang Yang, Syed Ghufran Hadier, Liu Long, Syed Muhammad Zeeshan Haider Hamdani, Syed Danish Hamdani
Format: Article
Language:English
Published: Frontiers Media S.A. 2025-08-01
Series:Frontiers in Public Health
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Online Access:https://www.frontiersin.org/articles/10.3389/fpubh.2025.1616298/full
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author Yang Yang
Syed Ghufran Hadier
Syed Ghufran Hadier
Liu Long
Syed Muhammad Zeeshan Haider Hamdani
Syed Muhammad Zeeshan Haider Hamdani
Syed Danish Hamdani
author_facet Yang Yang
Syed Ghufran Hadier
Syed Ghufran Hadier
Liu Long
Syed Muhammad Zeeshan Haider Hamdani
Syed Muhammad Zeeshan Haider Hamdani
Syed Danish Hamdani
author_sort Yang Yang
collection DOAJ
description ObjectiveThis study aims to develop and validate age- and sex-specific normative reference standards for muscular strength (MS) using the LMS (Lambda–Mu–Sigma) method and to establish Health Benefit Zones (HBZs) for Pakistani adolescents aged 12–16 years.MethodsA cross-sectional study was conducted with 2,970 adolescents (49.7% boys, 50.3% girls) selected through stratified random sampling from 60 public high schools across three divisions of South Punjab. Anthropometric indicators and muscular strength were measured following standardized protocols. Using the LMS, age- and sex-specific normative reference values and smoothed percentile curves (3rd, 10th, 35th, 50th, 65th, and 90th) were developed. Five Health Benefit Zones (Very Poor, Poor, Medium, Good, and Excellent) were derived from these percentile ranges to classify strength levels. The robustness of the generated standards was examined through internal cross-validation using a back-generation procedure to confirm high predictive accuracy.ResultsBoys demonstrated significantly higher muscular strength than girls across all ages (p < 0.001), with strength increasing progressively with age in both sexes. At age 16, median MS reached 35.47 kg for boys and 20.18 kg for girls. LMS-derived percentile reference values and percentile curves illustrated consistent age- and sex-related growth trends. Approximately 40% of participants fell within the “poor” or “very poor” HBZs. MAPE values remained below ±0.05, indicating excellent model fit. Compared to international benchmarks, adolescents from South Punjab exhibited lower MS values across corresponding age groups.ConclusionThis study provides the first LMS-based, age- and sex-specific normative reference standards and HBZs for muscular strength among Pakistani adolescents. These standards offer a population-relevant tool for fitness assessment, enable early identification of youth at risk of low muscular strength, and support targeted interventions to enhance strength development and overall physical health in school-aged populations.
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spelling doaj-art-b52d5409e6ae48fa815aae2e80fe87ee2025-08-26T09:54:49ZengFrontiers Media S.A.Frontiers in Public Health2296-25652025-08-011310.3389/fpubh.2025.16162981616298Development and cross-validation of LMS-based normative reference standards and health benefits zones for muscular strength among adolescents by age and sexYang Yang0Syed Ghufran Hadier1Syed Ghufran Hadier2Liu Long3Syed Muhammad Zeeshan Haider Hamdani4Syed Muhammad Zeeshan Haider Hamdani5Syed Danish Hamdani6School of Physical Education, Suzhou University, Suzhou, Anhui, ChinaDepartment of Sports Sciences, Bahauddin Zakariya University, Multan, PakistanSchool of Physical Education, Shanxi University, Taiyuan, ChinaSchool of Physical Education, Suzhou University, Suzhou, Anhui, ChinaDepartment of Sports Sciences, Bahauddin Zakariya University, Multan, PakistanSchool of Exercise and Health, Shanghai University of Sport, Shanghai, ChinaDivision of Olympic Sports, China Swimming College, Beijing Sport University, Beijing, ChinaObjectiveThis study aims to develop and validate age- and sex-specific normative reference standards for muscular strength (MS) using the LMS (Lambda–Mu–Sigma) method and to establish Health Benefit Zones (HBZs) for Pakistani adolescents aged 12–16 years.MethodsA cross-sectional study was conducted with 2,970 adolescents (49.7% boys, 50.3% girls) selected through stratified random sampling from 60 public high schools across three divisions of South Punjab. Anthropometric indicators and muscular strength were measured following standardized protocols. Using the LMS, age- and sex-specific normative reference values and smoothed percentile curves (3rd, 10th, 35th, 50th, 65th, and 90th) were developed. Five Health Benefit Zones (Very Poor, Poor, Medium, Good, and Excellent) were derived from these percentile ranges to classify strength levels. The robustness of the generated standards was examined through internal cross-validation using a back-generation procedure to confirm high predictive accuracy.ResultsBoys demonstrated significantly higher muscular strength than girls across all ages (p < 0.001), with strength increasing progressively with age in both sexes. At age 16, median MS reached 35.47 kg for boys and 20.18 kg for girls. LMS-derived percentile reference values and percentile curves illustrated consistent age- and sex-related growth trends. Approximately 40% of participants fell within the “poor” or “very poor” HBZs. MAPE values remained below ±0.05, indicating excellent model fit. Compared to international benchmarks, adolescents from South Punjab exhibited lower MS values across corresponding age groups.ConclusionThis study provides the first LMS-based, age- and sex-specific normative reference standards and HBZs for muscular strength among Pakistani adolescents. These standards offer a population-relevant tool for fitness assessment, enable early identification of youth at risk of low muscular strength, and support targeted interventions to enhance strength development and overall physical health in school-aged populations.https://www.frontiersin.org/articles/10.3389/fpubh.2025.1616298/fullmuscular strengthhandgrip strengthnormative reference standardshealth benefit zonesLMS methodback-generation method
spellingShingle Yang Yang
Syed Ghufran Hadier
Syed Ghufran Hadier
Liu Long
Syed Muhammad Zeeshan Haider Hamdani
Syed Muhammad Zeeshan Haider Hamdani
Syed Danish Hamdani
Development and cross-validation of LMS-based normative reference standards and health benefits zones for muscular strength among adolescents by age and sex
Frontiers in Public Health
muscular strength
handgrip strength
normative reference standards
health benefit zones
LMS method
back-generation method
title Development and cross-validation of LMS-based normative reference standards and health benefits zones for muscular strength among adolescents by age and sex
title_full Development and cross-validation of LMS-based normative reference standards and health benefits zones for muscular strength among adolescents by age and sex
title_fullStr Development and cross-validation of LMS-based normative reference standards and health benefits zones for muscular strength among adolescents by age and sex
title_full_unstemmed Development and cross-validation of LMS-based normative reference standards and health benefits zones for muscular strength among adolescents by age and sex
title_short Development and cross-validation of LMS-based normative reference standards and health benefits zones for muscular strength among adolescents by age and sex
title_sort development and cross validation of lms based normative reference standards and health benefits zones for muscular strength among adolescents by age and sex
topic muscular strength
handgrip strength
normative reference standards
health benefit zones
LMS method
back-generation method
url https://www.frontiersin.org/articles/10.3389/fpubh.2025.1616298/full
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