3. GPP-ANO-003 — One-Way, Two-Way, Repeated-Measures and Mixed-Effects ANOVA, Post Hoc Comparisons and Factorial Experimental Analysis Using GraphPad Prism
Description
This Master Prompt provides an integrated, comprehensive and methodologically rigorous framework for designing, conducting, validating, interpreting and reporting experimental investigations involving multiple treatment groups, experimental factors, repeated observations and factorial research designs using GraphPad Prism. It establishes the relationships among research objectives, experimental structure, independent and dependent variables, between-subject and within-subject factors, sources of variation, statistical assumptions, model selection, interaction effects, multiple comparisons and scientific interpretation. The framework encompasses ordinary one-way ANOVA, repeated-measures one-way ANOVA, ordinary two-way ANOVA, repeated-measures two-way ANOVA and mixed-effects modelling approaches supported by the applicable GraphPad Prism version. It addresses experimental-unit independence, biological and technical replication, matched observations, sphericity, variance homogeneity, residual distributions, incomplete repeated measurements, effect-size estimation and statistical uncertainty. Particular emphasis is placed on interpreting main effects and interactions, selecting scientifically appropriate post hoc procedures, controlling multiplicity and distinguishing statistical significance from practical or biological importance.