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

Effect sparsity, The term which is used in the industrial experimentation, ...

The term which is used in the industrial experimentation, where there is commonly a large set of candidate factors believed to have the possible significant influence on the respon

Huffman coding based compression, Huffman code is used to compress data fil...

Huffman code is used to compress data file, where the data is represented as a sequence of characters. Huffman's greedy algorithm uses a table giving how often each character occur

Tracking, Tracking is the term sometimes used in the discussions of data f...

Tracking is the term sometimes used in the discussions of data from the longitudinal study, to describe the ability to predict the subsequent observations from previous values. In

Fuzzy set theory, A radically different approach of dealing with the uncert...

A radically different approach of dealing with the uncertainty than the traditional probabilistic and the statistical methods. The necessary feature of the fuzzy set is a membershi

Bivariate survival data, Bivariate survival data : The data in which the tw...

Bivariate survival data : The data in which the two related survival times are of interest. For instance, in familial studies of disease incidence, data might be available on the a

Ain why the simulated result doesn''t have to be exact as the, ain why the ...

ain why the simulated result doesn''t have to be exact as the theoretical calculation

Explain perturbation theory, Perturbation theory : The theory useful in ass...

Perturbation theory : The theory useful in assessing how well a specific algorithm or the statistical model performs when the observations suffer less random changes. In very commo

Explain o. j. simpson paradox, O. J. Simpson paradox is a term coming from...

O. J. Simpson paradox is a term coming from the claim made by the defence lawyer in murder trial of O. J. Simpson. The lawyer acknowledged that the statistics demonstrate that onl

EDUC 606, The GRE has a combined verbal and quantitative mean of 1000 and a...

The GRE has a combined verbal and quantitative mean of 1000 and a standard deviation of 200.

Extreme values, The biggest and smallest variate values among the sample of...

The biggest and smallest variate values among the sample of observations. Significant in various regions, for instance flood levels of the river, speed of wind and snowfall.

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