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Indian Mathematicians and their Contributions to Statistics

Description: This quiz is designed to assess your knowledge about the contributions of Indian mathematicians to the field of statistics.
Number of Questions: 15
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Tags: indian mathematics statistics mathematicians
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Who is considered the father of Indian statistics?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. N. Roy

  4. H. C. Das Gupta


Correct Option: A
Explanation:

P. C. Mahalanobis is widely regarded as the father of Indian statistics for his pioneering work in the field, including the development of the Mahalanobis distance and the Mahalanobis matrix.

What is the name of the statistical method developed by C. R. Rao for analyzing multivariate data?

  1. Principal component analysis

  2. Factor analysis

  3. Discriminant analysis

  4. Cluster analysis


Correct Option: A
Explanation:

C. R. Rao developed the principal component analysis (PCA) method, which is a statistical technique used to reduce the dimensionality of data by identifying the principal components, which are the directions of maximum variance in the data.

Who is known for their work on sequential analysis and non-parametric statistics?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. N. Roy

  4. H. C. Das Gupta


Correct Option: C
Explanation:

S. N. Roy made significant contributions to sequential analysis and non-parametric statistics, including the development of the Roy's sequential probability ratio test and the Roy's largest root test.

Which Indian mathematician is known for their work on design of experiments and quality control?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. N. Roy

  4. H. C. Das Gupta


Correct Option: D
Explanation:

H. C. Das Gupta is renowned for his contributions to design of experiments and quality control, including the development of the Das Gupta's method for constructing orthogonal arrays and the Das Gupta's control chart.

What is the name of the statistical method developed by P. C. Mahalanobis for measuring the distance between two multivariate data points?

  1. Mahalanobis distance

  2. Euclidean distance

  3. Manhattan distance

  4. Minkowski distance


Correct Option: A
Explanation:

P. C. Mahalanobis developed the Mahalanobis distance, which is a measure of the distance between two multivariate data points, taking into account the correlations between the variables.

Which Indian mathematician is known for their work on statistical inference and decision theory?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. N. Roy

  4. H. C. Das Gupta


Correct Option: B
Explanation:

C. R. Rao made significant contributions to statistical inference and decision theory, including the development of the Rao-Blackwell theorem and the Rao-Cramer inequality.

What is the name of the statistical method developed by S. N. Roy for testing the equality of two covariance matrices?

  1. Roy's largest root test

  2. Roy's sequential probability ratio test

  3. Hotelling's T-squared test

  4. Wilks' lambda test


Correct Option: A
Explanation:

S. N. Roy developed the Roy's largest root test, which is a statistical test used to test the equality of two covariance matrices.

Which Indian mathematician is known for their work on multivariate analysis and discriminant analysis?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. N. Roy

  4. H. C. Das Gupta


Correct Option: B
Explanation:

C. R. Rao made significant contributions to multivariate analysis and discriminant analysis, including the development of the Rao's F-test and the Rao's V-test.

What is the name of the statistical method developed by H. C. Das Gupta for constructing orthogonal arrays?

  1. Das Gupta's method

  2. Rao's method

  3. Roy's method

  4. Mahalanobis' method


Correct Option: A
Explanation:

H. C. Das Gupta developed the Das Gupta's method for constructing orthogonal arrays, which are used in design of experiments.

Which Indian mathematician is known for their work on sequential analysis and non-parametric statistics?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. N. Roy

  4. H. C. Das Gupta


Correct Option: C
Explanation:

S. N. Roy made significant contributions to sequential analysis and non-parametric statistics, including the development of the Roy's sequential probability ratio test and the Roy's largest root test.

What is the name of the statistical method developed by P. C. Mahalanobis for measuring the distance between two multivariate data points?

  1. Mahalanobis distance

  2. Euclidean distance

  3. Manhattan distance

  4. Minkowski distance


Correct Option: A
Explanation:

P. C. Mahalanobis developed the Mahalanobis distance, which is a measure of the distance between two multivariate data points, taking into account the correlations between the variables.

Which Indian mathematician is known for their work on statistical inference and decision theory?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. N. Roy

  4. H. C. Das Gupta


Correct Option: B
Explanation:

C. R. Rao made significant contributions to statistical inference and decision theory, including the development of the Rao-Blackwell theorem and the Rao-Cramer inequality.

What is the name of the statistical method developed by S. N. Roy for testing the equality of two covariance matrices?

  1. Roy's largest root test

  2. Roy's sequential probability ratio test

  3. Hotelling's T-squared test

  4. Wilks' lambda test


Correct Option: A
Explanation:

S. N. Roy developed the Roy's largest root test, which is a statistical test used to test the equality of two covariance matrices.

Which Indian mathematician is known for their work on multivariate analysis and discriminant analysis?

  1. P. C. Mahalanobis

  2. C. R. Rao

  3. S. N. Roy

  4. H. C. Das Gupta


Correct Option: B
Explanation:

C. R. Rao made significant contributions to multivariate analysis and discriminant analysis, including the development of the Rao's F-test and the Rao's V-test.

What is the name of the statistical method developed by H. C. Das Gupta for constructing orthogonal arrays?

  1. Das Gupta's method

  2. Rao's method

  3. Roy's method

  4. Mahalanobis' method


Correct Option: A
Explanation:

H. C. Das Gupta developed the Das Gupta's method for constructing orthogonal arrays, which are used in design of experiments.

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