Different procedures depend on different conditions. These may concern independence, functional form, residual distributions, variance structure, influential observations, or measurement quality.
Match diagnostics to the model
A normality test on raw scores does not establish residual normality in regression, and a nonsignificant test does not prove that an assumption is perfectly satisfied. Graphs, numerical diagnostics, study design, and sample size should be considered together.
Independence starts in the design
Observations can be correlated because learners share a classroom, patients share a clinic, or repeated measurements come from the same person. The analysis needs to account for how the data were generated.
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Alova, C. A. R. (2026, August 17). Why assumptions deserve more than a checklist. A&A Statistical and Research Consultancy Center. https://aa-research-consultancy.ailaaniaalova.chatgpt.site/resources/assumptions
Alova, Chard Aye R. “Why Assumptions Deserve More Than a Checklist.” A&A Statistical and Research Consultancy Center, 17 Aug. 2026, https://aa-research-consultancy.ailaaniaalova.chatgpt.site/resources/assumptions.
Alova, Chard Aye R. “Why Assumptions Deserve More Than a Checklist.” A&A Statistical and Research Consultancy Center. August 17, 2026. https://aa-research-consultancy.ailaaniaalova.chatgpt.site/resources/assumptions.
Alova, C.A.R. (2026) ‘Why Assumptions Deserve More Than a Checklist’, A&A Statistical and Research Consultancy Center, 17 August. Available at: https://aa-research-consultancy.ailaaniaalova.chatgpt.site/resources/assumptions (Accessed: 26 September 2026).
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