There are many research efforts to model and predict agricultural production, an
ID: 2935327 • Letter: T
Question
There are many research efforts to model and predict agricultural production, and the model result is aggregated into county level (i.e., the total production in a county). A research scientist wants to compare the results of two different models (Model 1, Model 2). He randomly collected some counties and their model result from the two models, and the samples are listed below.
Model 1
Model 2
County
Modeled Agricultural Production
County
Modeled Agricultural Production
17001
510.47
17001
433.01
17015
387.20
17003
66.11
17017
230.09
17005
341.76
17019
1170.00
17007
278.09
17021
728.07
17013
68.50
17023
318.62
17015
343.51
17025
335.31
17017
316.04
17031
18.50
17019
1120.68
17033
337.37
17021
770.47
17035
155.52
17023
370.09
17037
734.95
17025
313.09
17039
405.03
17027
372.20
17029
402.52
17031
2.77
Question 2 .If we cannot assume that for each model, the result county-level agricultural production follows a normal distribution, do a test to confirm the two models provide the same results.
Model 1
Model 2
County
Modeled Agricultural Production
County
Modeled Agricultural Production
17001
510.47
17001
433.01
17015
387.20
17003
66.11
17017
230.09
17005
341.76
17019
1170.00
17007
278.09
17021
728.07
17013
68.50
17023
318.62
17015
343.51
17025
335.31
17017
316.04
17031
18.50
17019
1120.68
17033
337.37
17021
770.47
17035
155.52
17023
370.09
17037
734.95
17025
313.09
17039
405.03
17027
372.20
17029
402.52
17031
2.77
Explanation / Answer
Mann-Whitney Test and CI: Model 1, Model 2
N Median
Model 1 12 362.3
Model 2 14 342.6
Point estimate for ETA1-ETA2 is 37.7
95.2 Percent CI for ETA1-ETA2 is (-97.8,318.6)
W = 174.0
Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.5542
Comment: The estimated p-value is 0.5542. Hence, we can conclude that there is no significant difference between the medians of total production for Two model (model 1 and model2 ) at 0.05 level of significance.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.