Comparación entre los Métodos de evaluación de incertidumbre y estudios de repetibilidad y reproducibilidad para la evaluación de las mediciones. Desviación típica de la repetibilidad [reproducibilidad]: La desviación típica de los Estudio interlaboratorios: Un estudio en el que varios laboratorios miden oo. mediante estudios de laboratorio, que las .. Repetibilidad: coincidencia dentro de un periodo corto para La tolerancia es el grado de REPRODUCIBILIDAD.

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Log In Sign Up. Juan Ignacio Ruiz-Guerrero; 1M. Abstract There is the uncertainty of knowing with certainty the quality and appropriateness of the data obtained by a measurement; variation, bias, and calibration are some of the factors affecting the measurement systems, so the purpose of analyzing these systems is to ensure the validity of the results.

This project involves measurement systems that repetibipidad a need to get real results, i. The data are a representation of the process.

The reliability of the collection of data must be ensured before doing any capability study, statistical process control SPCetc Without a validated measurement system, you can reach erroneous conclusions and act on the process the wrong way.

It is therefore necessary to ensure that the variation is not of the measurement system used.

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Regarding the repeatability and reproducibility studies, one of the main actors is the automotive organization, Reprodkcibilidad Automotive Industry Action Groupbacked by their acceptance of the measurement system in repetkbilidad number of distinct categories.

This is contradicted by Donald J. Wheeler who proposes a methodology using the intraclass correlation coefficient for correct measurement relroducibilidad. He references errors and inconsistencies in the AIAG method, with which measurement studies have been performed for many years.

On this basis, the methods comparison study is performed. The Comparison of methods developed through simulations to study measurement from similar data, and using estimates, confidence intervals are created in order to compare the different results and determine if any of the methodologies are more likely to generate a correct measurement study.

Due to the fact that all contain measures variation and the necessity to know if the quality and property data obtained by actual measurement or are correct, there are studies to evaluate repeatability and reproducibility of measurement systems.

This paper describes and performs a comparison of methods of measurement systems Repeatability and Reproducibility by cross method anova, AIAG [1], [2]; which defines an acceptable measurement system with the df of different categories with the intraclass correlation coefficient ICC [11]. Analyzes obtained through simulations, comparisons are made of methodologies, from a study similar data measurement and analyzed estimates confidence intervals [5] obtained in order to determine whether using the ICC is the right way to find the cause of variability in a system of measuring and countering that Methodology used for years in the automotive industry AIAG.


The measurement process should be documented, validated and agreed with the customer if necessary. For each measurement process, identify the elements and relevant process controls. The selection of such elements and control limits should be commensurate with the risk of default of the specified requirements. These elements and process controls should include operator executions, equipment, environmental conditions dd quantities and methods of application. Measurement processes must be designed to prevent erroneous results and ensure prompt detection of deficiencies and corrective action opportunity [6].

Both manuals specify that although only two are not the only components of variation of the measurements are most important if [6]. Figure 1 shows the proposed Donald Repetbilidad.

Wheeler for the values that you can earn the intraclass correlation coefficient as the monitor where it is located, for example, those that are located or are greater than 0.

The four classes of product monitors [10]. Also known as the NDC that can be distinguished reliably from the measurement system. NDC value is truncated to give an integer. The golden rule is that the NDC must be at least 5 for the measurement system may be acceptable. This method is based on the same statistical technique used to analyze the effects of different factors in the design of experiments.

The etudios mixed model with interaction Where Pi is a random variable that represents the parts, and Eij is a random error term. The Pi are often called the treatment effects.

Where SStreatments is called the sum of squares between treatments, and SSe is called the sum of squares due to error i. There are pr total observations. Thus, SSt has pr-1 degrees of freedom. There are p levels of the factor, so SSTreatments has p-1 degrees of freedom.


Finally, within any treatment there are r replicates providing r-1 degrees of freedom for experimental error. Because there are p treatments, we have p r-1 degrees of freedom for error. The quantities “. The expected values of these mean squares are given here: Data is generated based on the value of the variation in measurement values obtained is one variation of the part and a number of different categories either 2 unacceptable acceptance limit in 5 to 10 as acceptable.


Based on the above values are calculated from the variation in the following manner using the equation of the number reproducibildad categories: Values of the variation in part. Histogram Data for rejection category.

Histogram of number of distinct categories and ICC in rejection. Data category in the limit. Histogram Data category in the limit. Histogram of number of distinct categories and ICC in the limit. Histogram data for acceptance category.

Histogram of number of distinct categories and ICC in acceptance. Confidence intervals To generate confidence intervals [3] for each of the categories, Minitab is uses in order to perform sampling using the values obtained in columns the reproducibilixad of categories and values obtained from the ICC.

These 30 columns of data are placed into Minitab. Bootstrap resample values for confidence intervals in the limit by ndc. Bootstrap resample values for confidence intervals in the limit by ICC. According to the confidence intervals of the average obtained is observed that the values by ndc have greater uncertainty for the 3 categories, but the major difference is generated in the category of acceptance limit. Confidence intervals for the mean for all categories.

This affects the Auto Industry who are governed by the AIAG methodology which involves the revision of the standard in automotive industry operates. From this study, reproducibilidd method of Wheeler is recommended on the AIAG method, as the measurements obtained from AIAG are inflated, reproducibildiad overestimate the components of measurement error in a study coinciding with [7].

References [1] A IAG. La Confiabilidad de un Intervalo de Confianza. Recuperado el 5 de 12 dede Redalyc: Repeatability y Reproducibility studies: A comparison of techniques. Recuperado el 25 de 04 dede qualitydigest: Recuperado el 1 de 03 dede spcpress: The Intraclass Correlation Coefficient. Recuperado el 19 de 03 dede Quality digest: Recuperado el 1 de 11 dede Quality and Reliability Engineering International: Remember me on this computer.

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