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

Gaussian process, The generalization of the normal distribution used for th...

The generalization of the normal distribution used for the characterization of functions. It is known as a Gaussian process because it has Gaussian distributed finite dimensional m

Em algorithm, The method or technique for producing the sequence of paramet...

The method or technique for producing the sequence of parameter estimates that, under the mild regularity conditions, converges to maximum likelihood estimator. Of particular signi

Pascal''s triangle, Pascal's triangle  is an arrangement of numbers describ...

Pascal's triangle  is an arrangement of numbers described by Pascal in his Traité du Triangle Arithmétique published in the year 1665 as 'The number in each cell is equal to in the

Inliers, Inliers is the term used for the observations most likely to be s...

Inliers is the term used for the observations most likely to be subject to error in situations where the dichotomy is developed by making a ‘cut’ on an ordered scale, and where th

Proportional allocation, how to get the proportional allocation of the give...

how to get the proportional allocation of the give stratified random sampling example

Graduation, Graduation is the term is employed most often in the applicati...

Graduation is the term is employed most often in the application of the actuarial statistics to denote procedures by which the set or group of observed probabilities is adjusted t

Generalized linear models, Introduction to Generalized Linear Models (GLM) ...

Introduction to Generalized Linear Models (GLM) We introduce the notion of GLM as an extension of the traditional normal-theory-based linear regression models. This will be very

Bivariate boxplot, Bivariate boxplot : A bivariate analogue of boxplot in w...

Bivariate boxplot : A bivariate analogue of boxplot in which the inner area contains 50%of the data, and a 'fence' helps to identify the potential outliers. Robust methods or techn

Path analysis, Path analysis  is  a device for evaluating the interrelat...

Path analysis  is  a device for evaluating the interrelationships among the variables by analyzing their correlational structure. The relationships between the variables are man

Integrated Economic Statistics, Advantages and disadvantages of Integrated ...

Advantages and disadvantages of Integrated Economic Statistics

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