Glejsers test, Advanced Statistics

Assignment Help:

The Null Hypothesis - H0:  There is no heteroscedasticity i.e. β1 = 0

The Alternative Hypothesis - H1:  There is heteroscedasticity i.e. β1 0

Reject H0 if |t | > t = 1.96153

MTB > let c44 = abs (c11)

MTB > let c45 = sqrt (c7)

MTB > let c46 = 1/c7

C44 = absolutness

C45 = sqrttoexp

C46 = 1/totexp

C11 = RESI1

C7 = totexp                             

Regression Analysis: absolutness versus sqrttotexp, 1/totexp, sqtotexp

The regression equation is

absolutness = - 0.0432 + 0.00697 sqrttotexp + 3.96 ltotexp - 0.000000 sqtotexp

 

Predictor          Coef     SE Coef      T      P

Constant       -0.04319     0.06231  -0.69  0.488

sqrttotexp     0.006965    0.005250   1.33  0.185

1/totexp          3.962       1.403   2.82  0.005

sqtotexp    -0.00000003  0.00000045  -0.07  0.945

S = 0.0553218   R-Sq = 1.8%   R-Sq(adj) = 1.6%

Analysis of Variance

Source                DF        SS          MS             F      P

Regression         3    0.083167   0.027722  9.06  0.000

Residual Error  1515  4.636654  0.003060

Total                1518  4.719821

 

Source          DF    Seq SS

sqrttotexp    1  0.011248

l/totexp        1  0.071905

sqtotexp      1  0.000015

Since the ltoexp 2.82 > 1.96153 (CV), there is evidence to suggest that H0 would be rejected indicating that there is heteroscedasticity.


Related Discussions:- Glejsers test

Balanced incomplete block design, Balanced incomplete block design : A desi...

Balanced incomplete block design : A design in which all the treatments are not used in all blocks. Such designs have the below stated properties: * each block comprises the

Chain-binomial models, Chain-binomial models : Models arising in mathematic...

Chain-binomial models : Models arising in mathematical theory of the quite infectious diseases, which postulate that at any stage in the epidemic there are a certain number of the

Determine the maximum amount of the commodity, A manufacturing company has ...

A manufacturing company has two factories F 1 and F 2 producing a certain commodity that is required at three retail outlets M 1 , M 2 and M 3 . Once produced, the commodity is

Define high-dimensional data, High-dimensional data : This term used for da...

High-dimensional data : This term used for data sets which are characterized by the very large number of variables and a much more modest number of the observations. In the 21 st

Mardia''s multivariate normality test, Mardia's multivariate normality test...

Mardia's multivariate normality test is a test that a set of the multivariate data arise from the multivariate normal distribution against departures due to the kurtosis. The test

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

Confidence interval, Confidence interval : A range of the values, calculate...

Confidence interval : A range of the values, calculated from the sample observations which is believed, with the particular probability, to posses the true parameter value. A 95% c

Data smoothing algorithms, The procedures for extracting the pattern in a s...

The procedures for extracting the pattern in a series of observations when this is obscured by the noise. Basically any such technique or method separates the original series into

Data screening, The initial evaluation of the set of observations to see wh...

The initial evaluation of the set of observations to see whether or not they appear to satisfy the hypotheses or assumptions of the methods to be used in their analysis. Techniques

Hypergeometric distribution, Hypergeometric distribution is t he probabili...

Hypergeometric distribution is t he probability distribution related with the sampling without replacement from the population of finite size. If the population comprises of r ele

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