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

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

Define informed consent, Informed consent: The consent needed from each po...

Informed consent: The consent needed from each potential participant former to random assignment in the clinical trial as speci?ed in the year 1996 version of Helsinki declaration

Hypothesis testing, Hypothesis testing is a  general term for procedure of...

Hypothesis testing is a  general term for procedure of assessing whether the sample data is consistent or otherwise with statements made about the population. It basically tells u

Density estimation, Procedures for estimating the probability distributions...

Procedures for estimating the probability distributions without supposing any particular functional form. Constructing the histogram is perhaps the easiest example of such type of

Computer-aided diagnosis, Computer-aided diagnosis : The computer programs ...

Computer-aided diagnosis : The computer programs which are designed to support clinical decision making. In common, such systems are based on the repeated application of the Bay

General household survey, It is the survey which is carried out in Great Br...

It is the survey which is carried out in Great Britain on a continuous basis since 1971. About 100 000 households are included in this sample every year. The main goal of the surve

#title.Decision Models., I have a problem I am trying to solve. An oil comp...

I have a problem I am trying to solve. An oil company thinks that there is a 60% chance that there is oil in the land they own. Before drilling they run a soil test. When there is

Probability and random processes, how to find the PDF and CDF of a gamma ra...

how to find the PDF and CDF of a gamma random variable with given equation?

Contour plot, Contour plot : A topographical map drawn from data comprising...

Contour plot : A topographical map drawn from data comprising observations on the three variables. One variable is represented on horizontal axis and the second variable is represe

Last observation carried forward, Last observation carried forward is a te...

Last observation carried forward is a technique for replacing the observations of the patients who drop out of the clinical trial carried out over a time period. It consists of su

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