Section 23 Model revisited

23.1 Model

SBP = Overall mean + Sampling variability

\[ \large y_{j} = \mu + \epsilon_{j} \]

SBP = Overall mean + Group effect + Sampling variability

\[ \large y_{ij} = \mu + \beta_{i} + \epsilon_{ij} \]

\(\large i\) = treatment index; i: 1, 2, …, g

\(\large j\) = observation index within treatment; j: 1 to n

\(\large y_{ij}\) = j -th observation (replicate) in the i -th treatment

\(\large \mu\) = overall mean effect

\(\large \beta_{i}\) = effect of treatment group i

\(\large \epsilon_{ij} \sim NID(0, \sigma^2)\)