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

Play-the-winner rule, Play-the-winner rule is a process sometimes consider...

Play-the-winner rule is a process sometimes considered in the clinical trials in which the response to treatment is positive (a success) or negative (a failure). One of two treatm

Historigram, difference between histogram and historigram

difference between histogram and historigram

Quantile regression, Quantile regression is an extension of the classical ...

Quantile regression is an extension of the classical least squares from estimation of the conditional mean models to the estimation of the variety of models for many conditional q

Parks test, The Null Hypothesis - H0: β 1 = 0 i.e. there is homoscedastici...

The Null Hypothesis - H0: β 1 = 0 i.e. there is homoscedasticity errors and no heteroscedasticity exists The Alternative Hypothesis - H1: β 1 ≠ 0 i.e. there is no homoscedasti

Graphics., how to calculate the semi average method when 8 observations are...

how to calculate the semi average method when 8 observations are given?

Principal components analysis, Principal components analysis is a process ...

Principal components analysis is a process for analysing multivariate data which transforms original variables into the new ones which are uncorrelated and account for decreasing

Cauchy integral, Cauchy integral : The integral of the function, f (x), fro...

Cauchy integral : The integral of the function, f (x), from a to b are de?ned in terms of the sum   In the statistics this leads to the below shown inequality for the expecte

Hypotheses, a company suppliers specialized, high tensile Pins to customers...

a company suppliers specialized, high tensile Pins to customers. It uses an automatic lathe to produce the pins. Due to the factors such as vibration, temperature and wear and tear

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

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