Ljung-box q-test, Advanced Statistics

Assignment Help:

The Null Hypothesis - H0: There is no autocorrelation

The Alternative Hypothesis - H1: There is at least first order autocorrelation

Rejection Criteria: Reject H0 if LBQ1 >

Autocorrelation Function: RESI1

Lag         ACF          T    LBQ

  1   0.0081553   0.32   0.10

  2   0.0065510   0.26   0.17

  3  -0.0279832  -1.09   1.36

  4  -0.0079441  -0.31   1.46

  5   0.0254074   0.99   2.44

There are 83 lags but the first 5 have been used identify whether there is auto correlation present:

Lag

LBQ

Chi-Squared

Interpretation

1

0.10

1640_Tests for Heteroscedasticity.png= 3.84

Since LBQ = 0.10 < 3.84 so accept H0 as there is sufficient evidence to suggest there is no autocorrelation

2

0.17

 1640_Tests for Heteroscedasticity.png= 5.99

Since LBQ = 0.17 < 5.99 so accept H0 as there is sufficient evidence to suggest there is no autocorrelation

3

1.36

 1640_Tests for Heteroscedasticity.png= 7.81

Since LBQ = 1.36 < 7.81 so accept H0 as there is sufficient evidence to suggest there is no autocorrelation

4

1.46

 1640_Tests for Heteroscedasticity.png= 9.48

Since LBQ = 1.46 < 9.48 so accept H0 as there is sufficient evidence to suggest there is no autocorrelation

5

2.44

 1640_Tests for Heteroscedasticity.png= 11.07

Since LBQ = 2.44 < 11.07 so accept H0 as there is sufficient evidence to suggest there is no autocorrelation


Related Discussions:- Ljung-box q-test

Error rate estimation, The term used for the estimation of the misclassific...

The term used for the estimation of the misclassification rate in the discriminant analysis. Number of techniques has been proposed for two-group situation, but the multiple-group

Option-3 scheme, Option-3 scheme is a scheme of measurement used in the si...

Option-3 scheme is a scheme of measurement used in the situations investigating possible changes over the time in longitudinal data. The scheme is planned to prevent measurement o

Pre analysis data screening, need answers to questions in book advanced and...

need answers to questions in book advanced and multivariate statistical methods

Quantitative, How has quantitative analysis changed the current scenario in...

How has quantitative analysis changed the current scenario in the management world today?

Bioinformatics, Bioinformatics : Essentially the application of the informa...

Bioinformatics : Essentially the application of the information theory to biology to deal with the deluge of the information resulting from the advances in molecular biology. The m

Generalized additive models, Models which make use of the smoothing techniq...

Models which make use of the smoothing techniques such as locally weighted regression to identify and represent the possible non-linear relationships between the explanatory and th

G, sfdgfdg

sfdgfdg

Describe probability distribution, Probability distribution : For the discr...

Probability distribution : For the discrete random variable, a mathematical formula which provides the probability of each value of variable. See, for instance, binomial distributi

Fisher''s scoring method, This is an alternative to the Newton-Raphson tech...

This is an alternative to the Newton-Raphson technique for optimization (finding out the minimum or the maximum) of some function, which includes replacing the matrix of second der

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd