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

Cycle hunt analysis, The procedure for clustering variables in the multivar...

The procedure for clustering variables in the multivariate data, which forms the clusters by performing one or other of the below written three operations: * combining two varia

Determinant, A value related with the square matrix which represents sums a...

A value related with the square matrix which represents sums and products of its elements. For instance, if the matrix is   then the determinant of A (conventionally written as

Range, Range is the difference between the largest and smallest observatio...

Range is the difference between the largest and smallest observations in the data set. Commonly used as an easy-to-calculate measure of the dispersion in the set of observations b

Disclosure risk, The risk of being able to recognize the respondent's confi...

The risk of being able to recognize the respondent's confidential information in the data set. Number of approaches has been proposed to measure the disclosure risk some of which c

Randomized encouragement trial, Randomized encouragement trial   is the cl...

Randomized encouragement trial   is the clinical trials in which the participants are encouraged to change their behaviour in a particular manner (or not, if they are allocated to

Game theory, This is the branch of mathematics which deals with the theory ...

This is the branch of mathematics which deals with the theory of contests between two or more players under the specified sets of rules. The subject supposes a statistical aspect w

Leaps-and-bounds algorithm, Leaps-and-bounds algorithm is an algorithm whi...

Leaps-and-bounds algorithm is an algorithm which is used to ?nd the optimal solution in problems which might have a large number of possible solutions. Begins by dividing the poss

Calculate the probability, (a) A plane timetable states that a particular p...

(a) A plane timetable states that a particular plane is due at 2pm but the actual arrival time isuniformly distributed between 1pm and 3pm. (i) Calculate the probability that th

Artificial neural network, Artificial neural network : A mathematical arran...

Artificial neural network : A mathematical arrangement modelled on the human neural network and designed to attack various statistical problems, particularly in the region of patte

Factor rotation, Generally the final stage of an exploratory factor analysi...

Generally the final stage of an exploratory factor analysis in which factors derived initially are transformed to build their interpretation simpler. Generally the target of the pr

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