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

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