Statistics and Probability with Applications for Engineers and Scientists Using MINITAB, R and JMP. Bhisham C. Gupta

Example 17.3.1 (

). Table 17.3.5

squared coded observations. Table 17.3.6 ANOVA table for the data in Table 17.3.3.Table 17.3.7 Coded data (

) in grams of oil absorbed per batch. Table 17.3.8 Coded data

in grams of oil absorbed per batch. Table 17.3.9 Coded data (

) in grams of oil absorbed per batch and their ranks (...Table 17.4.1 Randomized complete block design layout.Table 17.4.2 ANOVA table for an RCB‐design.Table 17.4.3 Data on 24 patients being treated for high blood pressure.Table 17.4.4 ANOVA table for the data in Table 17.4.3.Table 17.4.5 Octane data for five gasolines.Table 17.4.6 Coded values of parts produced (parts

400). Table 17.5.1 Responses of two experiments with two factorsA and B. Table 17.5.2 Observations from a two‐way experimental layout with one observatio...Table 17.5.3 Observations from a two‐way experimental layout with

observations ...Table 17.5.4 ANOVA table for a two‐way experimental design (r observations per c...Table 17.5.5 Percentage (after coding each value by subtracting 10) of defective...Table 17.5.6 ANOVA table for the data in Table 17.5.6.Table 17.5.7 Data on hydroquinine and thermometers.Table 17.5.8 ANOVA table for the data in Table 17.5.7.Table 17.6.1 ANOVA table for an

Latin square design. Table 17.6.2 Radioactive counting rate data.Table 17.6.3 ANOVA for the data in Example 17.6.1.Table 17.7.1 ANOVA for a two‐way experimental design with random effects.Table 17.7.2 ANOVA table for a two‐way experimental design with mixed effectsTable 17.7.3 ANOVA table for a nested two‐factor experimental design with mixed ...Table 17.7.4 ANOVA table for a nested two‐factor experimental design with random...Table 17.7.6 Percentage of defective parts producedTable 17.7.7 ANOVA table for the data in Table 17.7.6Table 17.7.5

columns for a nested two‐factor experimental design

      15 Chapter 18Table 18.3.1 2

Factorial design in Yates's order in three notations. Table 18.3.2 Treatment matrices for the 2

and 2

factorial designs in Yates's o...Table 18.3.3 Design matrix for the 2

factorial design (r observations per treat...Table 18.3.4 Data for 2

factorial in five replicates. Table 18.3.5 ANOVA table for the data in Table 18.3.4.Table 18.3.6 Contrast coefficients for factorial effects.Table 18.3.7 Partitioning the treatment sum of squares into individual degree of...Table 18.3.8 Coefficients of linear and quadratic effect contrasts.Table 18.3.9 Partitioning block sum of squares.Table 18.4.1 Lower and upper levels of various factors.Table 18.4.2 Yield of the chemical and design matrix in two notations.Table 18.4.3 Design matrix and responses.Table 18.4.4 Estimated factorial effects using Table 18.4.3.Table 18.4.5 The 2

design and observations if dropping B from the design of Tab...Table 18.4.6 Analysis of variance assuming all effects containingB are zero. Table 18.5.1 The plan of the experiment and the data obtained.Table 18.5.2 ANOVA table for the data in Table 18.5.2.Table 18.5.3 Two replications (each replication in two blocks) of a 2

experimen...Table 18.5.4 Runs of the 2

and 2

factorial design in blocks of two treatments ...Table 18.6.1 The full 2

factorial design and two

designs obtained by the gene...Table 18.6.2 A

fractional factorial design. Table 18.6.3 Estimates of effects of the

fractional factorial design. Table 18.6.4

fractional factorial design generator − ABCDE with defining relati...Table 18.6.5 Estimates and their ranks.Table 18.6.6 Alias structure for the

fractional factorial design (generators AB...Table 18.6.7 The

fractional factorial design with design generators ABE and CDE Table 18.6.8 Results of an experiment using a

fractional factorial design to im...Table 18.6.9 ANOVA table of the

fractional factorial design. Table 18.7.1 Potato crop data.Table 18.7.2 Eddy current probe sensitivity data.

      16 Chapter 19Table 19.2.1 Plan of a

factorial design. Table 19.2.2 ANOVA table for the data in Table 19.2.1.Table 19.2.3 ANOVA table of the

factorial design with two points at the center....Table 19.2.4 Certain designs for

useful for fitting first‐order models. Table 19.2.5 Treatment matrix with responses.Table 19.2.6 ANOVA table for the data in Table 19.2.5.Table 19.2.7 Four factorial points and paired observations (see Table 19.2.5).Table 19.3.1 Values of

to establish a rotatable central composite design. Table 19.3.2 Percentage of concentration of

. Table 19.3.3 Ten extra points and their observed percentage of concentration ofC Table 19.3.4 Data obtained using a central composite rotatable design.Table 19.3.5 The settings of the experimental design variables and recorded resp...Table 19.3.6 ANOVA table for first‐order design.Table 19.3.7 The factor setting, levels of the design variables, and observed re...Table 19.3.8 ANOVA table for second‐order design.Table 19.4.1 Data on a

factorial plus three center points. Table 19.4.2 ANOVA table for the data in Table 19.4.1.Table 19.4.3 Points on the steepest ascent.Table 19.4.4 Predicted responses at the points along the path of steepest ascent...Table 19.4.5 Design plan and the data obtained using this plan.Table 19.4.6 ANOVA table for the data in Table 19.4.5.Table 19.5.1 Analysis of variance table for a second‐order model ink variables

Table 19.6.1 Treatment matrix with responses.

      17 1 Table A.1 Summary of common probability distributions.

      List of Illustrations

      1 Chapter 1Figure 1.1.1 Operation of the sewage treatment plant: (a) standard mode of ope...Figure

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