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...


For the period 1970-1991 for the United States the following two rival consumption<br>models were estimated using the data on personal consumption expenditure (PPCE)<br>and per capita disposable personal income (PDPI).<br>R' = 0,988<br>AIC = 12,91 SC=13,06<br>Model A: PPCE, = 1299,05 + 0,9204PDPI, +0,0931PDPI_1<br>t= (4,03) (6,01)<br>(0,63)<br>Model B: PPCE, =-841,85+0,7117PDPI, + 0,2954PPCE,.<br>R =0,9912<br>t= (-2,41) (5,46)<br>(2,36)<br>AIC=12,66 SC=12,81<br>To choose between those two alternative models Davidson MacKinnon J test is<br>applied. The results are as follows:<br>PPCE, = -1322, 79+0,7061PDPI, – 0,4357 PDPI,, +2,1335PPCE?<br>R = 0,9932<br>SE = (832,15) (0,5058)<br>(0,1987)<br>(0,6437)<br>where PPCE are the estimated PPCE values from Model B.<br>PPCE, = -6549,86+5,1176PDPI, + 0, 6302PPCE,1 – 4,6776PPCE;<br>R? = 0,9920<br>SE = (2622,46) (2,0129)<br>(0,1845)<br>(17,4082)<br>where PPCE are the estimated PPCE values from Model A.<br>a) Decide the better model by using model selection criteria of Akaike and<br>Schwarz.<br>b) According to the J test results which model is better? |<br>

Extracted 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). R' = 0,988 AIC = 12,91 SC=13,06 Model A: PPCE, = 1299,05 + 0,9204PDPI, +0,0931PDPI_1 t= (4,03) (6,01) (0,63) 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, – 0,4357 PDPI,, +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? |

Jun 01, 2022
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