INTRODUCTION TO ORTHOGONAL ARRAYS

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LECTURE 6

• INTRODUCTION TO ORTHOGONAL ARRAYS

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INTRODUCTION TO ORTHOGONAL ARRAYS
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STRUCTURE OF ORTHOGONAL ARRAYS
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STRUCTURE OF ORTHOGONAL ARRAYS (CONT.)
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STRUCTURE OF ORTHOGONAL ARRAYS (CONT.)
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STRUCTURE OF ORTHOGONAL ARRAYS (CONT.)
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STRUCTURE OF ORTHOGONAL ARRAYS (CONT.)
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FULL FACTORIAL EXPERIMENTATION
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FULL FACTORIAL EXPERIMENTATION (CONT.)
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HIGHLY FRACTIONAL FACTORIAL VERSUS FULL FACTORIAL
MATRICES
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L8(27) EXPERIMENTAL LAYOUT
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L8(27) EXPERIMENTAL LAYOUT (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)
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ANOVA USING ORTHOGONAL ARRAYS (CONT.)

• Based on these level averages, response graphs
  of the average main effects can be drawn to aid
  in the optimum level selection process.

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OPTIMUM LEVELS AND PROCESS ESTIMATES
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OPTIMUM LEVELS AND PROCESS ESTIMATES (CONT.)
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OPTIMUM LEVELS AND PROCESS ESTIMATES (CONT.)
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OPTIMUM LEVELS AND PROCESS ESTIMATES (CONT.)
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STANDARD ORTHOGONAL ARRAYS WITH TWO LEVELS
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AN L8(27) ORTHOGONAL ARRAY WITH REPETITONS
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AN L8(27) ORTHOGONAL ARRAY WITH REPETITONS (CONT.)
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AN L8(27) ORTHOGONAL ARRAY WITH REPETITONS (CONT.)
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AN L8(27) ORTHOGONAL ARRAY WITH REPETITONS (CONT.)
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AN L8(27) ORTHOGONAL ARRAY WITH REPETITONS (CONT.)
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AN L8(27) ORTHOGONAL ARRAY WITH REPETITONS (CONT.)
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AN L8(27) ORTHOGONAL ARRAY WITH REPETITONS (CONT.)
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AN L8(27) ORTHOGONAL ARRAY WITH REPETITONS (CONT.)
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AN L8(27) ORTHOGONAL ARRAY WITH REPETITONS (CONT.)
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AN L8(27) ORTHOGONAL ARRAY WITH REPETITONS (CONT.)
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SEQUENCE OF POOLING INSIGNIFICANT FACTORS
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SEQUENCE OF POOLING INSIGNIFICANT FACTORS (CONT.)
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• Consider the following example using an L8 with
  two empty columns.

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THREE LEVEL STANDARD ORTHOGONAL ARRAYS
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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APPLICATION OF L9(34)-3 LEVEL STANDARD ORTHOGONAL
ARRAY (CONT.)
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ORTHOGONAL ARRAY MODIFICATIONS
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ORTHOGONAL ARRAY MODIFICATIONS (CONT.)
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ORTHOGONAL ARRAY MODIFICATIONS (CONT.)
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ORTHOGONAL ARRAY MODIFICATIONS (CONT.)
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ORTHOGONAL ARRAY MODIFICATIONS (CONT.)
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ORTHOGONAL ARRAY MODIFICATIONS (CONT.)
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ORTHOGONAL ARRAY MODIFICATIONS (CONT.)
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FUNCTIONAL USE OF LINEAR GRAPHS AND INTERACTION
TABLES
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FUNCTIONAL USE OF LINEAR GRAPHS AND INTERACTION
TABLES (CONT.)
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INTERPRETATION OF THE INTERACTION TABLES
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INTERPRETATION OF THE INTERACTION TABLES (CONT.)
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INTERPRETATION OF THE LINEAR GRAPHS