WORKPLACE METHODS, SHIFTS, and OPERATORS 1 TWO CROSSED factors with an Operator factor that is NESTED within one factor and CROSSED with the other THE DATA AS SAS SEES IT 17:55 Wednesday, December 7, 2005 Obs Method Shift Op Qual 1 M1 MShift Op1 22 2 M1 MShift Op1 24 3 M1 MShift Op2 23 4 M1 MShift Op2 24 5 M1 MShift Op3 28 6 M1 MShift Op3 29 7 M1 MShift Op4 25 8 M1 MShift Op4 23 9 M1 EShift Op5 26 10 M1 EShift Op5 28 11 M1 EShift Op6 27 12 M1 EShift Op6 25 13 M1 EShift Op7 28 14 M1 EShift Op7 25 15 M1 EShift Op8 24 16 M1 EShift Op8 23 17 M2 MShift Op1 30 18 M2 MShift Op1 27 19 M2 MShift Op2 29 20 M2 MShift Op2 28 21 M2 MShift Op3 30 22 M2 MShift Op3 32 23 M2 MShift Op4 27 24 M2 MShift Op4 25 25 M2 EShift Op5 29 26 M2 EShift Op5 28 27 M2 EShift Op6 30 28 M2 EShift Op6 27 29 M2 EShift Op7 24 30 M2 EShift Op7 23 31 M2 EShift Op8 28 32 M2 EShift Op8 30 33 M3 MShift Op1 25 34 M3 MShift Op1 21 35 M3 MShift Op2 24 36 M3 MShift Op2 22 37 M3 MShift Op3 27 38 M3 MShift Op3 25 39 M3 MShift Op4 26 40 M3 MShift Op4 23 41 M3 EShift Op5 27 42 M3 EShift Op5 25 43 M3 EShift Op6 26 44 M3 EShift Op6 24 45 M3 EShift Op7 24 46 M3 EShift Op7 27 47 M3 EShift Op8 28 48 M3 EShift Op8 27 WORKPLACE METHODS, SHIFTS, and OPERATORS 2 TWO CROSSED factors with an Operator factor that is NESTED within one factor and CROSSED with the other GLM NESTED ANALYSIS WITH FIVE EFFECTS 17:55 Wednesday, December 7, 2005 The GLM Procedure Class Level Information Class Levels Values Method 3 M1 M2 M3 Shift 2 EShift MShift Op 8 Op1 Op2 Op3 Op4 Op5 Op6 Op7 Op8 Number of Observations Read 48 Number of Observations Used 48 WORKPLACE METHODS, SHIFTS, and OPERATORS 3 TWO CROSSED factors with an Operator factor that is NESTED within one factor and CROSSED with the other GLM NESTED ANALYSIS WITH FIVE EFFECTS 17:55 Wednesday, December 7, 2005 The GLM Procedure Dependent Variable: Qual Sum of Source DF Squares Mean Square F Value Pr > F Model 23 243.6666667 10.5942029 4.54 0.0002 Error 24 56.0000000 2.3333333 Corrected Total 47 299.6666667 R-Square Coeff Var Root MSE Qual Mean 0.813126 5.856327 1.527525 26.08333 Source DF Type I SS Mean Square F Value Pr > F Method 2 82.79166667 41.39583333 17.74 <.0001 Shift 1 4.08333333 4.08333333 1.75 0.1983 Method*Shift 2 19.04166667 9.52083333 4.08 0.0298 Op(Shift) 6 71.91666667 11.98611111 5.14 0.0016 Method*Op(Shift) 12 65.83333333 5.48611111 2.35 0.0360 Source DF Type III SS Mean Square F Value Pr > F Method 2 82.79166667 41.39583333 17.74 <.0001 Shift 1 4.08333333 4.08333333 1.75 0.1983 Method*Shift 2 19.04166667 9.52083333 4.08 0.0298 Op(Shift) 6 71.91666667 11.98611111 5.14 0.0016 Method*Op(Shift) 12 65.83333333 5.48611111 2.35 0.0360 WORKPLACE METHODS, SHIFTS, and OPERATORS 4 TWO CROSSED factors with an Operator factor that is NESTED within one factor and CROSSED with the other GLM NESTED ANALYSIS WITH FIVE EFFECTS 17:55 Wednesday, December 7, 2005 The GLM Procedure Duncan's Multiple Range Test for Qual NOTE: This test controls the Type I comparisonwise error rate, not the experimentwise error rate. Alpha 0.001 Error Degrees of Freedom 24 Error Mean Square 2.333333 Number of Means 2 3 Critical Range 2.021 2.094 Means with the same letter are not significantly different. D u n c a n G r o u p i n g Mean N Method A 27.9375 16 M2 B 25.2500 16 M1 B B 25.0625 16 M3 WORKPLACE METHODS, SHIFTS, and OPERATORS 5 TWO CROSSED factors with an Operator factor that is NESTED within one factor and CROSSED with the other INTERACTION PLOT for METHOD vs. SHIFT 17:55 Wednesday, December 7, 2005 Plot of Qual*Method. Symbol is value of Shift. Qual ‚ ‚ ‚ ‚ ‚ 30 ˆ ‚ ‚ ‚ ‚ M ‚ 28 ˆ ‚ ‚ E ‚ ‚ ‚ 26 ˆ E ‚ E ‚ ‚ ‚ M ‚ 24 ˆ M ‚ Šƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒ M1 M2 M3 Method WORKPLACE METHODS, SHIFTS, and OPERATORS 6 TWO CROSSED factors with an Operator factor that is NESTED within one factor and CROSSED with the other INTERACTION PLOT for METHOD*OP WITHIN EACH SHIFT METHOD*OP on SHIFT=1 17:55 Wednesday, December 7, 2005 Plot of Qual*Op. Symbol is value of MethPlot. Qual ‚ ‚ ‚ ‚ ‚ ‚ ‚ 31.0 ˆ 2 30.5 ˆ 30.0 ˆ 29.5 ˆ 29.0 ˆ 28.5 ˆ 2 2 1 28.0 ˆ 27.5 ˆ 27.0 ˆ 26.5 ˆ 26.0 ˆ 3 2 25.5 ˆ 25.0 ˆ 24.5 ˆ 3 24.0 ˆ 1 23.5 ˆ 1 23.0 ˆ 1 3 ‚ Šƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒ Op1 Op2 Op3 Op4 Op NOTE: 1 obs hidden. WORKPLACE METHODS, SHIFTS, and OPERATORS 7 TWO CROSSED factors with an Operator factor that is NESTED within one factor and CROSSED with the other INTERACTION PLOT for METHOD*OP WITHIN EACH SHIFT METHOD*OP on SHIFT=2 17:55 Wednesday, December 7, 2005 Plot of Qual*Op. Symbol is value of MethPlot. Qual ‚ 29.0 ˆ 2 ‚ 28.5 ˆ 2 2 ‚ 28.0 ˆ ‚ 27.5 ˆ 3 ‚ 27.0 ˆ 1 ‚ 26.5 ˆ 1 ‚ 26.0 ˆ 3 1 ‚ 25.5 ˆ 3 ‚ 25.0 ˆ 3 ‚ 24.5 ˆ ‚ 24.0 ˆ ‚ 23.5 ˆ 2 1 ‚ Šƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒ Op5 Op6 Op7 Op8 Op