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ConstructingOrthogonal Arrays16.881Robust System DesignMITLearning Objectives Introduce & explore orthogonality Study the standard OAS Practice computing DOF of an experiment Learn how to select a
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How to fill out orthogonal arrays:

01
Identify the variables: The first step in filling out orthogonal arrays is to determine the variables that you want to test. These variables can be anything from different options for a feature in a software application to various factors in a scientific experiment.
02
Determine the levels: After identifying the variables, you need to decide on the number of levels for each variable. A level represents a unique value or option for a variable. For example, if you are testing the color of a product, the levels could be red, blue, and green.
03
Use an orthogonal array: Once you have determined the variables and their respective levels, it is time to choose an appropriate orthogonal array. Orthogonal arrays help in systematically selecting a set of test cases that cover all possible combinations of variables and levels while minimizing the number of test cases needed. There are various types of orthogonal arrays available, such as Taguchi arrays and Latin hypercube designs.
04
Assign test cases: With the orthogonal array in hand, assign each row of the array to a specific test case. Each column of the array corresponds to a variable, and the numbers in the columns represent the levels of that variable. Fill out the array by selecting the appropriate level for each variable in each test case.
05
Execute the test cases: Once the orthogonal array is filled out, it is time to execute the test cases. Follow the instructions or steps provided in the orthogonal array to perform the tests accurately.

Who needs orthogonal arrays?

01
Software testers: Orthogonal arrays are highly useful for software testers who need to perform efficient and comprehensive testing of software applications. By using orthogonal arrays, testers can cover a wide range of test scenarios with a minimal number of test cases.
02
Design of experiments practitioners: Orthogonal arrays are commonly used in the field of design of experiments, where researchers and practitioners aim to optimize and improve various processes and systems. Orthogonal arrays help in identifying the most significant factors and their effects on the process or system under study.
03
Quality engineers: Quality engineers often rely on orthogonal arrays for efficient quality control and quality assurance practices. By using orthogonal arrays, they can systematically test different variables and levels to identify potential sources of variation or quality issues.
Overall, orthogonal arrays are beneficial for anyone who needs to systematically test and analyze multiple variables and their combinations in an efficient and organized manner.
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Orthogonal arrays are a statistical method used to design experiments in which multiple factors can be tested simultaneously while keeping the number of experimental runs to a minimum.
Researchers and statisticians who are conducting experiments and need to efficiently test multiple factors.
Orthogonal arrays are filled out by assigning different levels of factors to different columns and rows in a matrix-like format.
The purpose of orthogonal arrays is to help researchers conduct efficient and effective experiments by testing multiple factors in a systematic way.
Information such as factor levels, experimental runs, and results of the experiments must be reported on orthogonal arrays.
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