Question

In: Statistics and Probability

What information does the eigendecomposition of the data/population correlation or covariance matrix offer?

What information does the eigendecomposition of the data/population correlation or covariance matrix offer?

Solutions

Expert Solution

Answer :

Covariance and connection are two altogether utilized terms in the field of measurements and likelihood hypothesis. Most articles and perusing material on likelihood and insights assume an essential comprehension of terms like methods, standard deviation, connections, test sizes and covariance. Give us a chance to demystify several these terms today so we can push forward with the rest. The point of the article is to characterize the terms: connection and covariance networks, separate between the two and comprehend the utilization of the two in the field of investigation and datasets.

Information network portrayal of Covariance and Correlation

  • Let us additionally dig somewhat more profound and take a gander at the grid portrayal of covariance.

For an information lattice, X where X can be spoken to in the accompanying way:

  • a vector 'xj' would fundamentally suggest a (n × 1) vector separated from the j-th section of X where j has a place with the set (1,2,… .,p). Correspondingly 'xi'' speaks to the (1 × p) vector from the I-th line of X.
  • Here 'I' can take an incentive from the set (1,2,… ,n). You can likewise translate X as a lattice of factors where 'xij' is the j-th variable (section) gathered from the I-th thing (push).
  • For simplicity of reference, let us call pushes as things/subjects and segments as factors.
  • Give us now a chance to take a gander at the mean of a section of the above information framework:

Related Solutions

what is the significance of covariance and oefficient of correlation in understanding the data
what is the significance of covariance and oefficient of correlation in understanding the data
7) COVARIANCE AND CORRELATION COEFFICIENT. What is covariance? How is covariance and correlation coefficients linked? How...
7) COVARIANCE AND CORRELATION COEFFICIENT. What is covariance? How is covariance and correlation coefficients linked? How does the concept of covariance link to the Timura depiction of an efficient frontier oriented “silver bullet” In addition, draw a graphic that explains your thinking using real estate, international, private equity, venture capital, etc.
1 a)Describe features of the covariance correlation matrix    b) How is a log likelihood ratio...
1 a)Describe features of the covariance correlation matrix    b) How is a log likelihood ratio test is constructed to assess the adequacy of a given model
Explain Covariance and correlation.
Explain Covariance and correlation.
Based on the following information determine the covariance and correlation between the returns of the two...
Based on the following information determine the covariance and correlation between the returns of the two stocks. State of Economy Probability of State of Economy Return of X Return of Y Bear 0.10    -0.02 0.034 Normal 0.65 0.138 0.062 Bull 0.25 0.218 0.092
Covariance and Correlation Based on the following information, calculate the expected return and standard deviation of...
Covariance and Correlation Based on the following information, calculate the expected return and standard deviation of each of the following stocks. Assume each state of the economy is equally likely to happen. What are the covariance and correlation between the returns of the two stocks? STATE OF ECONOMY RETURN ON STOCK A RETURN ON STOCK B Bear Normal Bull -.032 .124 .193 -.103 -.025 .469
Covariance and Correlation Based on the following information, calculate the expected return and standard deviation of...
Covariance and Correlation Based on the following information, calculate the expected return and standard deviation of each of the following stocks. Assume each state of the economy is equally likely to happen. What are the covariance and correlation between the returns of the two stocks? STATE OF ECONOMY RETURN ON STOCK A RETURN ON STOCK B Bear Normal Bull -.032 .124 .193 -.103 -.025 .469
You have data that is bivariate normal. Give estimates for the covariance matrix, mean vector, and...
You have data that is bivariate normal. Give estimates for the covariance matrix, mean vector, and correlation matrix. x_1=[3.7,-1.6,-.6,.8] and x_2=[.7,1.7,5, 7]
6. Measures of linear relationship - Covariance and coefficient of correlation Consider a data set consisting...
6. Measures of linear relationship - Covariance and coefficient of correlation Consider a data set consisting of observations for three variables: x, y, and z. Their sample means, variances, and standard deviations are shown in Table 1. Table 1 Sample Mean x̄ x̄ = 4 ȳ ȳ = 5 z̄ z̄ = 5 Sample Variance sx2sx2 = 4 sy2sy2 = 3 sz2sz2 = 9 Sample Standard Deviation sxsx = 2 sysy = 1.732 szsz = 3 Table 2 shows the...
Calculate the covariance and correlation coefficients by completing the below table, assuming sample data. Show all...
Calculate the covariance and correlation coefficients by completing the below table, assuming sample data. Show all workings. (Note: You can calculate the mean and standard deviation of X & Y with Excel or your calculator; no working for their calculation is required.) X Y (X - X bar) (Y - Y bar) (X - X bar)(Y - Y bar) 5 5 2 3 5 4 8 7 6 9 (b)       Comment on the direction and strength of the association between X...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT