Pairwise Testing Orthogonal Array Explained

A product line is some software or hardware that can be customized by the producer to fit a customers need. For example, a car can be configured with different engines, transmissions and extra equipment. A piece of software can be delivered with many kinds of plugins and extensions activated. In order to cater to these many combinations, the test team might need to invest a significant amount of time required for test case development & testing. If we look closely, IMEI can be categorized in a simplistic manner and classified in only ‘two main categories’ i.e. 2 combinations. Some things are easier said than done and the same can be said about ‘Website Testing’.

  • Hence, it becomes critical to come up with a ‘subset of combinations’ which when inputted to the test cases result in achieving the best results i.e. maximum test coverage.
  • To start using it, you’ll need to download it from GitHub, install the program, and create a txt file for input testing parameters.
  • Below is the list of the test combinations to be used for cross browser testing based on our pairwise testing example.
  • This certification is for anyone who wants to stay ahead among professionals who are growing their career in Selenium automation testing.
  • Though you may come up with the possible values for these variable factors, come up with test cases/test suites that can cover all the combinations can be a herculean task.

The independent variables must comprise two dependent sets or equal pairs. Pairwiser supports adding required tests that will be included in a pairwise test suite optimally, without redundancy. To test this, we may recruit a simple random https://globalcloudteam.com/ sample of 20 college basketball players and measure each of their max vertical jumps. Then, we may have each player use the training program for one month and then measure their max vertical jump again at the end of the month.

Probabilistic models also give rise to stochastic variants of transitivity, all of which can be verified to satisfy (non-stochastic) transitivity within the bounds of errors of estimates of scale locations of entities. Thus, decisions need not be deterministically transitive in order to apply probabilistic models. However, transitivity will generally hold for a large number of comparisons if models such as the BTL can be effectively applied.

What is pairwise testing

As the thoroughness of pairwise testing increases, it has been found that increasing amounts of bugs can be found. I one large study, it was found that for a thoroughness of 1, 2 and 3, the percentage of bugs that might be found was 50, 75 and 90%, respectively. This study found no bugs that required more than a thoroughness of 6, a result that has stood the test of time. This is the reason why a thoroughness of 6 is usually the maximum considered. A pairwise testing tool does not figure out by itself what the correct result is.

In order to achieve the same, your test team should make use of a smart testing approach i.e design, plan & execute test cases that can help in achieving the best results. ‘Pairwise Testing’ is one such testing methodology that can be used to get the best test coverage by writing effective test cases. Along with test coverage, another Key Performance Indicator that is critical as far as software testing is concerned is ‘Defect Yield Rate’. Higher the test coverage and defect yield rate, better the quality of the product.

definition of pairwise testing

The method is effective only in the final stages of development or when supplementing with the principal functional tests. Using weighting factors, we can make the program prioritize specific values during the generation of combinations. The N-wise testing is all possible combinations from the above formula. The pairwise tests are now fully automated and can be run again and again.

Paired T-Test Formula

To start using it, you’ll need to download it from GitHub, install the program, and create a txt file for input testing parameters. The lingering question could be ‘How do you give precedence to certain test combinations over others? ’ and what if you do not test some input combinations that may have affected the overall test coverage. This is where ‘Pairwise Testing’ or ‘All-pairs Testing’ can be used for coming up with effective tests that have multiple input parameters. The mechanism used by pairwise testing to come up with discrete test combinations will be discussed in subsequent sections.

definition of pairwise testing

Pairwise testing is well-suited for testing that different combinations of customization will work. Internet Explorer is not present on iOS & macOS operating systems. Hence, these combinations have to be ignored even though it is a part of the test array. Paired t-tests are contemplated to be more robust than unpaired t-tests because using the same participants or objects removes deviation between the samples that could be induced by anything excepting what’s being tested.

These sections can be individually shown or hidden by the user. The browsers on which the webpage can be viewed are internet explorer and Firefox. The server used for launching the application can be IIS, Apache and web logic. Write down the number of test cases required by using the orthogonal array technique.

The rules of transitivity are as follows for a given decision agent. From the pairwise tool developer’s point of view, however, pairwise testing involves some heavy-weight computations. Before we had a look at a ‘cross browser testing’ use case; to start with, let us have a look at a rather simpler pairwise testing example. Here, I will be portraying a pairwise testing tutorial, I will be doing so by demonstrating a pairwise testing example. We will also look on how to leverage pairwise testing algorithm for performing cross browser testing.

What is Pairwise Testing?

Pairwiser has an easy to use web UI that allows you to define the parameters and input of your system under test. Whether you are testing a Web UI, a product line or a highly configurable system, you can define your parameters and inputs and constraints between them and generate tests. Pairwise comparison generally is any process of comparing entities in pairs to judge which of each entity is preferred, or has a greater amount of some quantitative property, or whether or not the two entities are identical. The method of pairwise comparison is used in the scientific study of preferences, attitudes, voting systems, social choice, public choice, requirements engineering and multiagent AI systems.

definition of pairwise testing

The BTL model is identical to Thurstone’s model if the simple logistic function is used. Thurstone used the normal distribution in applications of the model. The simple logistic function varies by less than 0.01 from the cumulative normal ogive across the range, given an arbitrary scale factor. The effectiveness of pairwise testing is neither hypothetical nor only academic. The effectiveness of pairwise testing has been studied by looking at existing large-scale software or hardware and their histories of problems and bugs. In studies , it was studied how bugs — discovered by other means than pairwise testing — could have been found by pairwise testing.

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Pairwise testing increases the test coverage almost up to hundred percentage. We have algorithms to generate 6-wise tests, but it is a very heavy calculation and results in a lot of tests. You can used mixed thoroughness to optimize for these situations. For each added degree of thoroughness, the number of tests is roughly multiplied by some factor. If there are 10 2-wise test, then there might be 40 3-wise tests and wise test etc.

Unfortunately the course was lacking much explanation of any type. For example, whether a website is transported with IPv4 or IPv6 will not cause any rendering problems. Still, you do want to test that the website works on both IPv4 and IPv6. Therefore you might set the thoroughness of the parameter IP version to 1 even though the other parameters are set to 2. This means that all pairs of all other parameter values will be covered, but not together with the IP version values.

The particular BP drug leads to betterment in condition/illness’ (i.e. test measurement). We can utilize the outcomes from our sample of employees to conclude about the impact of the system in general. Assume the null hypothesis that the actual mean difference is zero. Here you’ll get most accurate definitions, close synonyms and antonyms, related words, phrases and questions, rhymes, usage index and more.

Parts of speech for Pairwise

The difference is not significant, but it will be with the increasing number of testing variables or their values. Let’s assume some value for a person is calculated based on gender, age, and presence definition of pairwise testing of children. So, we get 3 input variables, for every of which we should choose any possible value for the test. Pairwise testing takes less time to complete the execution of the test suite.


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Pairwise testing is a P&C based method, in which to test a system or an application, for each pair of input parameters of a system, all possible discrete combinations of the parameters are tested. By using the conventional or exhaustive testing approach it may be hard to test the system but by using the permutation and combination method it can be easily done. We can significantly reduce the number of checks using pairwise testing method.

It is essential to understand that most common bugs that can be found in software are usually triggered by either a single input parameter or an interaction between pairs of parameters. Finding bugs involving interactions between three or more parameters is hard and costly. The first step of pairwise testing is telling a pairwise testing tool what to test.

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Hence, it becomes critical to come up with a ‘subset of combinations’ which when inputted to the test cases result in achieving the best results i.e. maximum test coverage. The paired t-test gives a hypothesis examination of the difference between population means for a set of random samples whose variations are almost normally distributed. Subjects are often tested in a before-after situation or with subjects as alike as possible. The paired t-test is a test that the differences between the two observations are zero. Pairwiser supports 1-wise, 2-wise and 3-wise testing as well as mixed strength coverage. With mixed coverage you can increase the number of interactions are tested for some parameters and decrease it for others.

Some of the browsers might be configured with 200 different settings such as security and privacy settings, window sizes and color configurations. Mixed-strength testing is to mix, for example, 2-wise and 3-wise testing in the same round of testing. To arrive at the best possible test combinations, we make use of the ‘Orthogonal Array’ technique, using which we get pre-defined arrays with respect to combination for every generation of the test case. To start with, the number of columns in the array is normally number of entries + one . You can generate tests and test scripts for both manual testing and automated testing.

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