Confirming Increased Statistical Errors in Testing Correlations from Small Sample Sizes.
Small sample sizes contribute to several problems in research and knowledge advancement. This conceptual replication study confirmed and extended the inflation of type II errors and confidence intervals in correlation analyses of small sample sizes common in kinesiology/exercise science. Current pop...
| Publicado en: | Measurement in Physical Education & Exercise Science Vol. 29; no. 2; pp. 191 - 198 |
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| Autor principal: | |
| Formato: | research tables/charts Journal Article |
| Publicado: |
Taylor & Francis Ltd
Apr-Jun2025
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=ccm&AN=184594849&site=ehost-live header: @attributes: shortDbName: ccm uiTerm: 184594849 longDbName: CINAHL Complete uiTag: AN controlInfo: bkinfo: dissinfo: jinfo: jid: 1091367X 7MM jtl: Measurement in Physical Education & Exercise Science issn: 1091367X maglogo: N pubinfo: dt: Apr-Jun2025 vid: 29 iid: 2 pid: 377 pub: Taylor & Francis Ltd place: Philadelphia, Pennsylvania artinfo: ui: 184594849 181590905 184594849 184594849 10.1080/1091367X.2024.2439295 184594849 ppf: 191 ppct: 7 formats: tig: atl: Confirming Increased Statistical Errors in Testing Correlations from Small Sample Sizes. aug: au: Knudson, Duane affil: Department of Health and Human Performance, Texas State University, San Marcos, Texas, USA sug: subj: Sample Size Determination False Positive Results Confidence Intervals Kinesiology Exercise Physiology Human Correlational Studies Models, Theoretical Conceptual Framework Descriptive Statistics Comparative Studies Data Analysis Software Correlation Coefficient Computer Simulation ab: Small sample sizes contribute to several problems in research and knowledge advancement. This conceptual replication study confirmed and extended the inflation of type II errors and confidence intervals in correlation analyses of small sample sizes common in kinesiology/exercise science. Current population data (N = 18, 230, & 464) on four mechanical variables of three kinds of tennis strings were used to study the effect of small randomly selected sample sizes. All small sample sizes (n = 10, 25, 50, & 100) had one to three type II errors in statistical tests of the six pairwise correlations and partial correlations but no type I errors. Correlation coefficients from these small sample sizes had imprecise mean confidence interval widths (.34 to 1.08) that limit accurate statistical inferences, sizes of associations, and are most vulnerable to not detecting small (ρ <.4) true associations in the population. These data confirm that there are likely numerous type II errors and imprecise correlation coefficients in KSES studies using small samples sizes that may slow the knowledge advancement of the field. pubtype: Academic Journal doctype: research tables/charts Journal Article ougenre: Article language: English refInfo: holdings: @attributes: islocal: N |
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