1 EXAMPLE 22. HIERARCHICAL MODEL: PURITY DATA 1 19:31 Sunday, December 30, 2001 The GLM Procedure Class Level Information Class Levels Values SUPPLIER 3 S1 S2 S3 BATCH 4 B1 B2 B3 B4 Number of observations 36 1 EXAMPLE 22. HIERARCHICAL MODEL: PURITY DATA 2 19:31 Sunday, December 30, 2001 The GLM Procedure Dependent Variable: CPURITY Sum of Source DF Squares Mean Square F Value Model 11 83.8888889 7.6262626 3.02 Error 24 60.6666667 2.5277778 Corrected Total 35 144.5555556 Source Pr > F Model 0.0115 Error Corrected Total R-Square Coeff Var Root MSE CPURITY Mean 0.580323 408.8311 1.589899 0.388889 Source DF Type I SS Mean Square F Value SUPPLIER 2 13.55555556 6.77777778 2.68 BATCH(SUPPLIER) 9 70.33333333 7.81481481 3.09 Source Pr > F SUPPLIER 0.0889 BATCH(SUPPLIER) 0.0131 Source DF Type III SS Mean Square F Value SUPPLIER 2 13.55555556 6.77777778 2.68 BATCH(SUPPLIER) 9 70.33333333 7.81481481 3.09 Source Pr > F SUPPLIER 0.0889 BATCH(SUPPLIER) 0.0131 1 EXAMPLE 22. HIERARCHICAL MODEL: PURITY DATA 3 19:31 Sunday, December 30, 2001 The GLM Procedure Source Type III Expected Mean Square SUPPLIER Var(Error) + 3 Var(BATCH(SUPPLIER)) + Q(SUPPLIER) BATCH(SUPPLIER) Var(Error) + 3 Var(BATCH(SUPPLIER)) 1 EXAMPLE 22. HIERARCHICAL MODEL: PURITY DATA 4 19:31 Sunday, December 30, 2001 The GLM Procedure Tests of Hypotheses for Mixed Model Analysis of Variance Dependent Variable: CPURITY Source DF Type III SS Mean Square F Value SUPPLIER 2 13.555556 6.777778 0.87 Error 9 70.333333 7.814815 Error: MS(BATCH(SUPPLIER)) Source Pr > F SUPPLIER 0.4524 Error Error: MS(BATCH(SUPPLIER)) Source DF Type III SS Mean Square F Value BATCH(SUPPLIER) 9 70.333333 7.814815 3.09 Error: MS(Error) 24 60.666667 2.527778 Source Pr > F BATCH(SUPPLIER) 0.0131 Error: MS(Error) 1 EXAMPLE 22. HIERARCHICAL MODEL: PURITY DATA 5 19:31 Sunday, December 30, 2001 Dependent Variable: CPURITY Tests of Hypotheses Using the Type III MS for BATCH(SUPPLIER) as an Error Term Source DF Type III SS Mean Square F Value SUPPLIER 2 13.55555556 6.77777778 0.87 Tests of Hypotheses Using the Type III MS for BATCH(SUPPLIER) as an Error Term Source Pr > F SUPPLIER 0.4524