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Indian Mathematical Methods in Industrial Quality Control

Description: This quiz covers the application of Indian mathematical methods in industrial quality control.
Number of Questions: 5
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Tags: indian mathematics industrial quality control statistical methods
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Which of the following is an Indian mathematical method used in industrial quality control?

  1. Taguchi method

  2. Mahalanobis distance

  3. Plackett-Burman design

  4. All of the above


Correct Option: D
Explanation:

The Taguchi method, Mahalanobis distance, and Plackett-Burman design are all Indian mathematical methods that have been successfully applied in industrial quality control.

What is the Taguchi method?

  1. A method for designing experiments to optimize product quality

  2. A method for statistical process control

  3. A method for non-destructive testing

  4. A method for quality assurance


Correct Option: A
Explanation:

The Taguchi method is a statistical method for designing experiments to optimize product quality. It is based on the idea of using orthogonal arrays to reduce the number of experiments required to achieve a desired level of accuracy.

What is the Mahalanobis distance?

  1. A measure of the similarity between two data points

  2. A measure of the distance between two data points in a multidimensional space

  3. A measure of the variability of a data set

  4. A measure of the skewness of a data set


Correct Option: B
Explanation:

The Mahalanobis distance is a measure of the distance between two data points in a multidimensional space. It is calculated by taking the square root of the sum of the squared differences between the two data points, divided by the covariance matrix of the data set.

What is the Plackett-Burman design?

  1. A type of experimental design used to screen a large number of factors

  2. A type of experimental design used to optimize a process

  3. A type of experimental design used to study the interaction between factors

  4. A type of experimental design used to test the significance of a factor


Correct Option: A
Explanation:

The Plackett-Burman design is a type of experimental design used to screen a large number of factors. It is a two-level factorial design that allows for the estimation of the main effects of the factors, as well as the interaction effects between the factors.

How can Indian mathematical methods be used to improve industrial quality control?

  1. By reducing the number of experiments required to achieve a desired level of accuracy

  2. By identifying the most important factors affecting product quality

  3. By optimizing the process parameters to achieve the desired level of quality

  4. All of the above


Correct Option: D
Explanation:

Indian mathematical methods can be used to improve industrial quality control by reducing the number of experiments required to achieve a desired level of accuracy, identifying the most important factors affecting product quality, and optimizing the process parameters to achieve the desired level of quality.

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