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The ALTA standard folio control panel allows you to configure the analysis settings for the data sheet and view/access the results. It consists of multiple pages, each containing options for performing particular tasks. This topic focuses on the Main page of the ALTA standard folio control panel, which contains most of the tools you will need to perform accelerated life testing analysis. For more information about the control panel in general, see Control Panels.
The Main page of the ALTA standard folio control panel includes the following settings:
The Model drop-down list allows you to select the life-stress relationship and life distribution that will be used to extrapolate failure behavior at normal operating conditions. The selected life distribution is fitted to the data obtained at each accelerated stress level used in the test, and then the selected life-stress relationship is used to extrapolate the probability density function (pdf) at the use stress level from the pdfs at the accelerated levels.
What’s Changed? In previous versions of ALTA, the life-stress relationship and life distribution were selected separately, in two different drop-down lists. Now, a single drop-down list is used to select a single model that combines both. For example, if you choose Arrhenius-Weibull from the drop-down list, your analysis will use a combination of the Arrhenius life-stress relationship and the Weibull life distribution.
While any distribution can be used to analyze a data set, if the distribution does not fit the data well, your results may contain too much uncertainty. Moreover, each of the available life-stress relationships is designed to work with specific stress types (e.g., the Arrhenius relationship is designed for data obtained from accelerated temperatures). Therefore, to ensure accurate predictions for the product's use level reliability, the appropriate life distribution and life-stress relationship must be selected. The ReliaWiki resource portal has more information on the distributions and life-stress relationships at: http://www.ReliaWiki.org/index.php/Accelerated_Life_Testing_Data_Analysis_Reference.)
There are five life-stress relationships to select from in ALTA Standard, and there are four additional relationships in ALTA PRO:
The five life-stress relationships in ALTA Standard are:
Arrhenius: a single-stress model typically used when temperature is the accelerated stress.
Eyring: a single-stress model typically used when temperature or humidity is the accelerated stress.
Inverse power law (IPL): a single-stress model typically used with a non-thermal stress, such as vibration, voltage or temperature cycling.
Temperature-humidity (TH): a double-Arrhenius model that is typically used when temperature and humidity are the acceleration variables.
Temperature-nonthermal (TNT): a combination of the Arrhenius and IPL relationships that is typically used when one stress is temperature and the other is non-thermal (e.g., voltage).
In addition, ALTA PRO offers four other models for more advanced applications:
Generalized Eyring (GER): a variation of the Eyring relationship that is typically used when both temperature and humidity are accelerated.
Proportional hazards (PPH): analyzes data with up to 8 simultaneous stress types using the exponential relationship for each stress. It also allows the use of zero as a stress value, which enables the analysis of data with indicator variables (e.g., 0 = on/off and 1 = continuous operation).
General log-linear (GLL): supports the analysis of data with up to 8 simultaneous stress types and provides the flexibility of specifying the life-stress relationship (Arrhenius, IPL or exponential) for each stress. Like the PPH model, this model also allows for the analysis of data with indicator variables.
Cumulative damage (CD): analyzes data with up to 8 stress types and/or situations where the stress varies with time.
The three available life distributions are: 2-parameter Weibull, lognormal (not available with the proportional hazards relationship) and 1-parameter exponential.
Tip: If you are not certain which life distribution would provide the best fit for your data, you can use the Distribution Wizard to guide you through the selection process. The choice of the life-stress relationship depends on various factors, including the types and number of stresses used in the test.
Directly underneath the Model drop-down list are options for selecting the stress columns and (when applicable) the stress transformations that will be used in the analysis, as shown next.
The Analysis Settings area (shown in the picture above) displays "MLE" and "FM" to indicate that the maximum likelihood estimation (MLE) method will be used to estimate your model’s parameters and the Fisher matrix (FM) method will be used to solve for the confidence bounds. In ALTA, these settings cannot be changed. This area also displays the number of failures and suspensions in your data set (e.g., "F=17/S=23" means there are 17 failures and 23 suspensions).
The Set Use Stress link directly underneath the Analysis Settings area allows you to define the normal stress level for every stress that is selected to be used in the analysis.
The Analysis Summary area displays the calculated parameter values and other values for your selected model. The following example shows the calculated parameters of a CD-Weibull model (i.e., the cumulative damage life-stress relationship combined with the Weibull life distribution) for a particular data set.
You can click anywhere within the Analysis Summary area to open the Results window, which displays the calculated results in a worksheet. From the Results window, you can edit, copy or print the results.
Note: If the model and parameters are associated with a published model, then the published model's name will appear as a link at the bottom of the Analysis Summary area. Click the link to view the model's properties. For details on how to publish the results as a model, see Publishing Models.
Depending on your settings, the following information may also be displayed:
The Ea (activation energy) value represents the effect of temperature. It appears when temperature-related models are used, such as Arrhenius, Eyring, generalized Eyring, temperature-humidity, and temperature-nonthermal. A large activation energy means temperature has a large effect on the life of the product.
The Scale Parameter value represents the product's characteristic life.
For the Weibull distribution, the characteristic life is equal to the value of the eta parameter (i.e., the time at which unreliability = 63.2%).
For the lognormal distribution, it is equal to Exp(Log-mean) (i.e., the time at which unreliability = 50%).
For the exponential distribution, it is equal to the mean life.
The LK Value (likelihood function value) is the logarithm of the likelihood value for the model parameters. It can help you compare how well different models fit the same data set, as described below.
Accelerated life testing results are estimates based on observed data points from a limited sample size and obtained at increased stress levels. For this reason, there is always some uncertainty in the results. It is therefore important to evaluate how well the chosen model fits the data set. There are several ways to evaluate the model’s fit and compare it to other models. To make a sound assessment, the following tools may be used in conjunction with your own engineering knowledge about the model:
The Use Level Probability and Standardized Residuals plots show you how well the solution line tracks the plotted data points. This allows you to visually assess the fit of the selected model.
The Likelihood Ratio Test is used to confirm the assumption of a common shape parameter among the data obtained at the various accelerated stress levels. This assumption underlies the use of any model that includes the Weibull or lognormal life distribution.
Confidence Bounds allow you to quantify the amount of uncertainty in the parameter estimates and other functions, such as reliability predictions, due to sampling error. The narrower the confidence bounds at a given confidence level, the closer the estimates are to the true value of the parameters and the better the precision on the reliability predictions.
You can visualize the confidence bounds by using plots, or you can view the calculated values of the confidence bounds by using the Quick Calculation Pad.
The LK Value (likelihood function value) allows you compare how well different models fit the same data set. The model with the highest LK value is considered to have the best fit statistically for that data. However, because this value is influenced by the sample size and the variability of the data set, it varies across different data sets and cannot be used by itself to evaluate a particular model.
The LK value for the selected model is automatically displayed on the Main page of the control panel.
To view a 3D plot of the likelihood surface, choose ALTA > Analysis > 3D Plot, and then choose Likelihood Function from the Plot Type drop-down list.
ALTA's Distribution Wizard uses LK values to automatically compare life distributions. The Wizard assumes the life-stress relationship selected on the control panel.
The folio tools are arranged on the left side of the Main page of the control panel. Use these tools to manage data and experiment with the results of your analysis.
Calculate estimates the parameters of the chosen model, based on the current data set and the specified analysis settings. This tool is also available by choosing ALTA > Analysis > Calculate.
Plot creates a new sheet in the folio that provides a choice of applicable plot types. For standard folios, this includes plots such as Use Level Probability, Reliability vs. Time, Life vs. Stress, etc. You can also create a Plot sheet by choosing ALTA > Analysis > Plot.
QCP opens the ALTA Quick Calculation Pad, which allows you to calculate results, such as the mean life and the probability of failure, based on the currently active data sheet. This tool is also available by choosing ALTA > Analysis > Quick Calculation Pad.
Distribution Wizard opens the Distribution Wizard, which helps you select the life distribution that will best fit your data. This tool is also available by choosing ALTA > Analysis > Distribution Wizard.
Alter Data Type opens the Data Sheet Setup window, which allows you to change the data entry columns in the current data sheet. Note that when you change the setup, you may lose information already entered in the data sheet. For example, switching the data sheet from one that supports interval data to one that supports only right censored data will remove all the inspection times. This tool is also available by choosing ALTA > Format and View > Alter Data Type.
Add or Remove Columns allows you to add/remove columns for stress levels and unit IDs.
Change Units opens the Change Units window, which allows you to change the units for the time values in the current data sheet.
Auto Group Data opens the Auto Group Data window, which allows you to group together data points with the same failure/suspension times. Grouping data significantly speeds up calculations when you have a very large data set.
Alter Parameters (also
called Alter Parameters w/o Recalculation) allows you to manually alter
the value of one (or more) parameters, while keeping the original values
of the rest of the parameters and the variance/covariance matrix the same.
The LK value, the solution line on plots and all subsequent analyses will
be based on the modified set of parameters.
Likelihood Ratio Test opens the Likelihood Ratio Test tool, which allows you to assess the assumption of a common shape parameter across all the stress levels used in the test. This assumption underlies the use of any model that includes the Weibull or lognormal life distribution. You can also open this tool by choosing ALTA > Options > Likelihood Ratio Test.
Transfer Data to Weibull++ allows you to transfer data from the ALTA standard folio to a Weibull++ standard folio.
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