For the period 1970-1991 for the United States the following two rival consumption models were estimated using the data on personal consumption expenditure (PPCE) and per capita disposable personal income (PDPI). Model A: PPCE, = 1299,05+0,9204PDPI,+ 0,0931PDPI_1 R = 0,988 t= (4,03) (6,01) (0,63) AIC = 12,91 SC=13,06 Model B: PPCE, =-841,85+0,7117PDPI,+0,2954PPCE, R = 0,9912 t= (-2,41) (5,46) (2,36) AIC=12,66 SC=12,81 To choose between those two alternative models Davidson Mackinnon J test is applied. The results are as follows: PPCE, = -1322,79+0,7061PDPI, - 0,4357PDPI,+2,1335PPCE R =0,9932 SE = (832,15) (0,5058) (0,1987) (0,6437) where PPCE are the estimated PPCE values from Model B. PPCE, = -6549,86+5,1176PDPI, + 0, 6302PPCE,1- 4, 6776PPCE R = 0,9920 SE = (2622,46) (2,0129) (0,1845) (17,4082) where PPCE are the estimated PPCE values from Model A. a) Decide the better model by using model selection criteria of Akaike and Schwarz. b) According to the J test results which model is better?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%

hey could you solve? thank you.

For the period 1970-1991 for the United States the following two rival consumption
models were estimated using the data on personal consumption expenditure (PPCE)
and per capita disposable personal income (PDPI).
Model A: PPCE, = 1299,05+0,9204PDPI,+ 0,0931PDPI_1
R = 0,988
t= (4,03)
(6,01)
(0,63)
AIC = 12,91 SC=13,06
Model B: PPCE, =-841,85+0,7117PDPI,+0,2954PPCE,
R = 0,9912
t= (-2,41)
(5,46)
(2,36)
AIC=12,66
SC=12,81
To choose between those two alternative models Davidson Mackinnon J test is
applied. The results are as follows:
PPCE, = -1322,79+0,7061PDPI, - 0,4357PDPI,+2,1335PPCE
R =0,9932
SE = (832,15) (0,5058)
(0,1987)
(0,6437)
where PPCE are the estimated PPCE values from Model B.
PPCE, = -6549,86+5,1176PDPI, + 0, 6302PPCE,1- 4, 6776PPCE
R = 0,9920
SE = (2622,46) (2,0129)
(0,1845)
(17,4082)
where PPCE are the estimated PPCE values from Model A.
a) Decide the better model by using model selection criteria of Akaike and
Schwarz.
b) According to the J test results which model is better?
Transcribed Image Text:For the period 1970-1991 for the United States the following two rival consumption models were estimated using the data on personal consumption expenditure (PPCE) and per capita disposable personal income (PDPI). Model A: PPCE, = 1299,05+0,9204PDPI,+ 0,0931PDPI_1 R = 0,988 t= (4,03) (6,01) (0,63) AIC = 12,91 SC=13,06 Model B: PPCE, =-841,85+0,7117PDPI,+0,2954PPCE, R = 0,9912 t= (-2,41) (5,46) (2,36) AIC=12,66 SC=12,81 To choose between those two alternative models Davidson Mackinnon J test is applied. The results are as follows: PPCE, = -1322,79+0,7061PDPI, - 0,4357PDPI,+2,1335PPCE R =0,9932 SE = (832,15) (0,5058) (0,1987) (0,6437) where PPCE are the estimated PPCE values from Model B. PPCE, = -6549,86+5,1176PDPI, + 0, 6302PPCE,1- 4, 6776PPCE R = 0,9920 SE = (2622,46) (2,0129) (0,1845) (17,4082) where PPCE are the estimated PPCE values from Model A. a) Decide the better model by using model selection criteria of Akaike and Schwarz. b) According to the J test results which model is better?
Expert Solution
Step 1

The model with the lowest AIC value being considered the ‘best’.

From the provided information, the AIC value of Model A is 12.91, and the AIC model of Model B is 12.66.

Therefore, Model B is a better model than model A because Model B having the lowest AIC value.

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill