Contents
- 1 Statistical Quality Analysis
- 1.1 Gage R&R
- 1.2 Destructive Testing
- 1.3 Gage Linearity and Bias
- 1.4 Attribute Agreement
- 1.5 Variables and Attribute Control Charts
- 1.6 Capability Analysis for Normal, Nonnormal, and Attribute Data
- 1.7 Attribute Agreement for Binary, Nominal, and Ordinal Data
- 1.8 Kappa and Kendall's Coefficients
- 1.9 Acceptance Sampling
- 1.10 Variables, Attribute, and Rare Event Control Charts
Statistical Quality Analysis
Enroll in this course in minitab training to acquire the essential competencies for effectively appraising and validating measurement systems in manufacturing and engineering contexts. During minitab training, seasoned professionals will guide you through grasping the core principles of statistical process control and comprehending how these pivotal tools for quality assurance can furnish the requisite insights to enhance and govern manufacturing procedures.
You will cultivate the expertise to discern the optimal employment of diverse types of control charts accessible in Minitab, aligning them with your specific processes. Furthermore, you will gain proficiency in utilizing vital capability analysis instruments, enabling you to assess the performance of your operations vis-à-vis both internal benchmarks and customer specifications.
Throughout this course in minitab training, the primary emphasis remains on imparting comprehensive knowledge of quality tools in their direct relevance to manufacturing procedures. By the course's conclusion, you will be equipped to wield these newfound insights to elevate the quality and efficiency of your manufacturing endeavors effectively.
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Topics Included:
Gage R&R
A gage R&R study enables you to examine the following aspects:
- Repeatability: This addresses the extent of variability in the measurement system resulting from the measurement device itself.
- Reproducibility: This pertains to the extent of variability in the measurement system caused by differences between operators.
- Assessment of whether the measurement system's variability is minor when compared to the process variability.
- Evaluation of whether the measurement system has the capability to discern discrepancies between various parts.
Destructive Testing
- When conducting Measurement System Analysis (MSA) for continuous measurements (e.g., weight, length, volume) using non-destructive testing, each part can undergo multiple measurements, making crossed Gage studies applicable. However, certain situations require an MSA where the measurement process involves destructive testing or physically alters the characteristic being measured. Examples of such scenarios include impact testing and chemical analysis.
Gage Linearity and Bias
A gage linearity and bias study aims to ascertain the accuracy of your measuring instrument. This study evaluates two key aspects: linearity, which gauges the accuracy of measurements across the expected range, and bias, which measures how closely the instrument's readings align with a reference value.
- Minitab displays a graph of biases across reference values in a gage linearity and bias study.
- The linearity section of the output in Minitab indicates the consistency of measurements across reference values. A small slope signifies good gage linearity.
- Bias indicates the proximity of measurements to reference values. Positive bias means the gage overestimates, while negative bias means it underestimates.
- The %Bias value represents the bias magnitude as a percentage of the process variation (usually 6 sigma).
- A statistically significant slope (indicated by the p-value for slope) implies large linearity if the gage measures low at small reference values and high at large reference values.
- In cases of large linearity, bias values may be positive at one extreme and negative at the other, making the overall bias interpretation impractical.
Attribute Agreement
- Attribute Agreement Analysis is employed to evaluate the concurrence between appraisers' ratings and established standards. This analysis enables the evaluation of appraisal accuracy and the identification of items with the most significant misclassification rates.
Variables and Attribute Control Charts
- Variables control charts display sequential time-ordered continuous measurement process data, such as length or pressure. Conversely, attribute control charts are used for count data, like the quantity of defects or defective units. These variables control charts, similar to other control charts, aid in pinpointing sources of variation for investigation, allowing process adjustments without excessive control.
- Minitab provides a variety of attribute control charts designed to graph defects or defective units. A defect pertains to a specific quality characteristic, while a defective unit relates to the overall product. While a unit can exhibit multiple defects, its classification remains either defective or nondefective.
Capability Analysis for Normal, Nonnormal, and Attribute Data
- Employ Normal Capability Analysis to assess the potential (within) and overall capability of your process using a normal distribution as the basis. Using this analysis, you can do the following:
- Ascertain if the process can generate outcomes aligning with customer demands.
- Analyze the process's overall capability in comparison to its potential (within) capability to gauge prospects for enhancement.
- In cases where your data is not normally distributed, you have two methods at your disposal for conducting a capability analysis:
- Opt for a nonnormal distribution model that suits your data and subsequently employ a capability analysis tailored for nonnormal data, like Nonnormal Capability Analysis.
- Alternatively, modify the data to align with a normal distribution model and apply a capability analysis designed for normal data, such as Normal Capability Analysis.
- When dealing with attribute data, employ binomial or Poisson capability analysis to ascertain if your process aligns with customer requirements.
Attribute Agreement for Binary, Nominal, and Ordinal Data
- An attribute agreement analysis can be applied to binary data (categorized as good or bad), nominal data (with labels like yellow, blue, brown), or ordinal data (using value-ordered categories like 1, 2, 3, 4). To achieve reliable agreement estimates, a minimum of 50 samples is recommended. It's advisable to choose samples across the entire spectrum of process variation. Having a greater variety of samples with fewer replicates is more valuable than having numerous replicates for a smaller set of samples.
Kappa and Kendall's Coefficients
- Kappa quantifies the level of concurrence among appraisers who evaluate identical samples using nominal or ordinal assessments.
- Kendall's coefficient of concordance demonstrates the extent of correlation among appraisers who evaluate identical samples using ordinal assessments.
- In case you furnish a known rating for every sample, Minitab also computes Kendall's correlation coefficients. These coefficients are individually assigned to each appraiser to gauge their conformity with the established benchmark, along with an overarching coefficient that encompasses all appraisers in relation to the standards. This correlation coefficient assists in gauging whether an appraiser's consistency is marred by inaccuracy.
Acceptance Sampling
- Acceptance sampling is a vital element of quality control, particularly advantageous when testing expenses outweigh those of passing a faulty item or when tests result in destruction.
- It offers a middle ground between complete 100% inspection and complete absence of inspection.
- Particularly valuable when the supplier's process quality is uncertain, acceptance sampling provides an alternative to 100% inspection.
- This practice applies to both product attributes and measurements of the product.
Variables, Attribute, and Rare Event Control Charts
- Variables control charts display sequential time-ordered continuous measurement process data, such as length or pressure. Conversely, attribute control charts are used for count data, like the quantity of defects or defective units. These variables control charts, similar to other control charts, aid in pinpointing sources of variation for investigation, allowing process adjustments without excessive control.
- Minitab provides a variety of attribute control charts designed to graph defects or defective units. A defect pertains to a specific quality characteristic, while a defective unit relates to the overall product. While a unit can exhibit multiple defects, its classification remains either defective or nondefective.
- Occurrences of rare events are a natural part of various processes. Within healthcare settings like hospitals, instances such as medication errors, infections, patient falls, and ventilator-associated pneumonias are considered rare and adverse events. By employing control charts, we have the ability to visualize these infrequent incidents and track the progression of a process. This helps us ascertain whether the process remains stable or has deviated from control, signifying unpredictability and the necessity for corrective action.