Factorial ANOVA

> ### Descriptive Statistics

> (Outcome ~ FactorA) |> describeMoments(by = FactorB)

Summary Statistics for the Data: B1
         N       M      SD    Skew    Kurt
A1   4.000   2.000   2.449   0.544  -2.944
A2   4.000   7.000   2.449  -0.544  -2.944

Descriptive Statistics for the Data: B2
         N       M      SD    Skew    Kurt
A1   4.000   6.000   2.449   0.544  -2.944
A2   4.000   5.000   2.449   0.544  -2.944

> ### Inferential Statistics

> (Outcome ~ FactorA) |> describeFactorial(by = FactorB)

Source Table for the Model
                   SS      df      MS
Factor          4.000   1.000   4.000
Blocks         16.000   1.000  16.000
Factor:Blocks  36.000   1.000  36.000
Residual       72.000  12.000   6.000

> (Outcome ~ FactorA) |> testFactorial(by = FactorB)

Hypothesis Tests for the Model
                    F     df1     df2       p
Factor          0.667   1.000  12.000   0.430
Blocks          2.667   1.000  12.000   0.128
Factor:Blocks   6.000   1.000  12.000   0.031

> (Outcome ~ FactorA) |> estimateFactorial(by = FactorB)

Proportion of Variance Accounted For by the Mo
                  Est      LL      UL
Factor          0.053   0.000   0.302
Blocks          0.182   0.000   0.442
Factor:Blocks   0.333   0.019   0.562