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Quick reference
Factor Selection
There are two types of factors in a DOE study. The control factors are used to control the test configuration and the response factors are the measured results of the experiments.
When to use
DOE studies are based upon factors, so all DOE studies will need to select factors. The time to do this selection is while planning the DOE study. It is normally done in parallel with the creation of the study design.
Instructions
Factors are how the DOE study tests are configured and measured. There are two types of factors, control factors and response factors.
Control Factors
Control factors are the variables that are controlled by the study design to create the different product, process, or system configurations. Control factors can be quantitative measurable attributes such as dimensions, time, pressure, or temperature. Control factors can also be qualitative category attributes such as which supplier was used on turning a feature on or off. The control factors must be controllable by the test operator or controlled at the time of the test sample preparation. The configuration of each test run must be exactly what is specified in the DOE study plan with respect to the levels of all control factors. When selecting control factors, they should be practical, feasible, and measurable.
Response Factors
Response factors are the variables that are the measured result of each experimental run. It is the response factor values that will be analyzed using the statistical analysis methodology. There is often only one response factor, although there could be many. The response factor should be a variable or quantitative measurement, not a qualitative pass/fail measurement. This measurement should also be directly correlated with the study objective. When selecting the response factor, be sure to consider the measurement system and ensure the system is stable, repeatable, reproducible and has adequate discrimination.
Hints & tips
- You may find that you need to iterate between study design and factor selection in order to create a DOE plan that can address the objective and fit within your cost and schedule.
- Be certain that the response factor measurement system is calibrated and under statistical control. You may need to do a measurement system analysis to make that determination. If you need more information on this topic, GoSkills has a Measurement Systems Analysis course.
- Qualitative control factors should have only two states – on/off, in/out, left/right. If the factor is a category with more than two states, then treat each state like it is a separate factor.
- Whenever possible, use factors that are already design decision or process controls. The optimal solution will be much easier to implement.
- 00:04 Hello, I'm Ray Sheen.
- 00:06 And as we discussed in the last lesson, one of the two steps that must be
- 00:10 completed at the beginning of a DOE study, is selecting the factors for the study.
- 00:15 What do we mean when we say factors?
- 00:17 Factors are the data elements of the study, both the input and the output.
- 00:22 Carefully consider the factor selection because this will
- 00:26 determine the limits of your data collection and analysis.
- 00:29 One type of factor is the response or output factor.
- 00:33 This is what will be measured at the end of each run and
- 00:36 should directly relate to the objective of the study.
- 00:39 This is where we will see improvement or degradation of performance.
- 00:43 There are also a set of input or control factors.
- 00:46 These are the things that are set as part of the test item or
- 00:50 test process configuration.
- 00:52 These factors represent the items being studied to determine their impact on
- 00:56 the product, process or system performance.
- 00:58 Often, there are also a set of constants that are used to minimize noise or
- 01:02 uncertainty.
- 01:03 So for instance, the same operator does all the tests,
- 01:06 the same data set is used and the same procedure is followed.
- 01:10 These constants will improve the DOE study results because they eliminate
- 01:15 sources of statistical noise and variation.
- 01:17 Let's look a little deeper at the Y factor or response variable.
- 01:22 There are several questions that you should ask yourself when selecting the Y
- 01:26 factors.
- 01:27 These considerations include, whether the variable was qualitative or quantitative?
- 01:31 We definitely prefer quantitative so
- 01:33 that we can measure the level of the response factors during each run.
- 01:37 Next is that output or response factor directly tied to the study goals.
- 01:42 This ensures that the analysis will meet the study objective.
- 01:46 After that, is the output currently under statistical control?
- 01:49 What we mean by that is whether the output is currently predictable.
- 01:53 If it's not under control, there maybe many factors that
- 01:56 are influencing performance that we are not aware of.
- 01:59 The DOE will probably need to be more complex to try and
- 02:02 capture all of these factors.
- 02:04 If it is under control,
- 02:05 we can focus on just the factors that we're being asked to study.
- 02:09 Another concern is, does the output vary over time?
- 02:12 If it drifts, we need to account for that drift in our study design.
- 02:16 And, are there multiple outputs?
- 02:19 Many statistical analysis software programs that support
- 02:22 DOE can support multiple outputs.
- 02:24 However, when optimizing, it's important to know which is more important.
- 02:29 Another attribute is, what is the objective for the performance?
- 02:33 Is it to minimize, maximize, or center on a specific target of variance reduction?
- 02:38 These answers will drive the optimization portion of the analysis.
- 02:43 Also you need to consider the anticipated range for the output.
- 02:46 With this knowledge, an appropriate measurement system can be selected
- 02:51 that does not saturate at the extremes of performance.
- 02:54 And while talking about measurement systems,
- 02:56 how much change in the output do you want to detect?
- 02:59 The discrimination of the measurement system needs to be able to tell
- 03:03 the difference between small changes in performance.
- 03:06 And finally, is the measurement system that you have chosen adequate?
- 03:10 Is there a measurement system analysis that shows that this system provides
- 03:14 repeatable and reproducible measurements for
- 03:17 the nature of the experiments that will be done?
- 03:20 If not, find a new system.
- 03:22 So now let's look at the control factors,
- 03:24 the items that will be the x variables in our design space equation.
- 03:28 The control factors are the design attributes or
- 03:31 process settings that are being investigated as part of the study.
- 03:35 The DOE will determine what effect the variation in these factors has on product,
- 03:39 process, or system performance.
- 03:41 So to do this, factors must be controllable during the study.
- 03:45 Either they are controlled at the time of test sample preparation or
- 03:49 controlled by the operator as settings in the experimental runs.
- 03:52 They are controlled to the appropriate level for each test configuration.
- 03:57 Normally these factors are elements of the product, process, or
- 04:00 systems control methodology.
- 04:02 The results of the DOE study will be to establish targets and
- 04:05 limits for those elements that will ensure the desired performance.
- 04:09 This is why there are normally either design features that are selected at
- 04:14 the time of design, or product and
- 04:15 process control features that are selectable by the operator or user.
- 04:20 Let's consider some criteria that can be used while selecting these factors.
- 04:24 One criteria is to be sure that you have a factor associated with everything that you
- 04:28 want to study.
- 04:29 The study is to determine the impact and inner relationship of the control factors on
- 04:34 the response factor.
- 04:35 It provides no information about those factors that are not part of the study.
- 04:40 These input or control factors can be either quantitative or qualitative.
- 04:45 Quantitative factors are those with a continuous range of settings.
- 04:49 The DOE will use two or more of those settings to determine sensitivity.
- 04:54 The qualitative factors are usually category factors,
- 04:57 such as material from supplier A or supplier B.
- 05:00 There is no range in between those, just one category or the other.
- 05:05 Both types of control factors can be used in the DOE.
- 05:08 Finally, there are three principles we apply when selecting control factors,
- 05:13 practical, feasible, and measurable.
- 05:15 Practical looks at the factor from a business perspective.
- 05:19 Does it make sense to control that factor?
- 05:21 Is the business willing to place it under control, or
- 05:24 does it require too much money and effort to control this factor?
- 05:28 If it is impractical, then the factor becomes a noise element in the study.
- 05:33 Second is feasible.
- 05:34 It's the factor one that is controllable during normal operations.
- 05:38 Either up front in the design process or
- 05:41 once in use by the manager of the process or controllable by the operator or user.
- 05:46 When controlling it, does the factor create safety or regulatory concerns?
- 05:51 If so you probably want to set that factor into the safe zone and not change it.
- 05:56 Finally, the factor needs to be measurable.
- 05:59 That means we need to know what its value was when the experimental
- 06:03 run was occurring.
- 06:04 Ideally, you can directly measure or
- 06:06 observe the factor at the start of the run and throughout the run.
- 06:09 In some cases, you may not be able to directly measure the factor,
- 06:13 but you can indirectly measure it through some other parameter,
- 06:17 such as electrical current or a temperature.
- 06:20 Practical, feasible,
- 06:22 and measurable control factors create a DOE study that is biased toward success.
- 06:27 Since factors is what we are setting in the study,
- 06:30 we need to ensure that the appropriate factor selection occurs.
- 06:35 That way we will have a study analysis that gives us meaningful results.
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