Assume you collected data representing the number of full-time employed males ('000) without access to paid leave entitlements in Australia from 1992 to 2007, fitted a third-order autoregressive model and found a p-value = 0.50 for the third-order autoregressive parameter. Based on this information what conclusion can you make. a. The second-order parameter of the autoregressive model is insignificant and can be deleted. b. The third-order parameter of the autoregressive model is significant and should remain in the model. c. The second-order parameter of the autoregressive model is significant and should remain in the model. d. The third-order parameter of the autoregressive model is insignificant and can be deleted.
Question
Assume you collected data representing the number of full-time employed males ('000) without access to paid leave entitlements in Australia from 1992 to 2007, fitted a third-order autoregressive model and found a p-value = 0.50 for the third-order autoregressive parameter. Based on this information what conclusion can you make. a. The second-order parameter of the autoregressive model is insignificant and can be deleted. b. The third-order parameter of the autoregressive model is significant and should remain in the model. c. The second-order parameter of the autoregressive model is significant and should remain in the model. d. The third-order parameter of the autoregressive model is insignificant and can be deleted.
Solution
The correct answer is d. The third-order parameter of the autoregressive model is insignificant and can be deleted. This conclusion is based on the p-value of 0.50. In statistical modeling, a p-value greater than 0.05 typically indicates that the parameter is not statistically significant. Therefore, it may not contribute meaningful information to the model and can be removed.
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