PROC GLMSELECT was used for building a model predicting the natural log of a baseball player's salary from certain performance and longevity statistics. The model used backward elimination using SBC as its selection criterion. The sequence of steps is summarized in the graphic shown below:

At Step 9 number of at bats (nAtBat) was removed from the model.
Why was it removed?
Suggested Answer: B
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32 comments · newest first
MA
Mabel
11 months ago
I’m surprised it was nAtBat, I thought it was more important!
TA
Tasia
11 months ago
Removing nAtBat definitely improved the model fit!
IS
Isreal
11 months ago
Wait, are we sure about that? I thought it was about SBC improvement.
RE
Reena
12 months ago
Totally agree, that makes the most sense!
JO
Josephine
12 months ago
I think it was removed because the p-Value for nAtBat was the largest.
OD
Odette
1 year ago
I thought the backward elimination process focused on p-values, so I'm leaning towards option B, but I might be mixing it up with another topic.
OL
Olive
1 year ago
I feel like removing nAtBat would have had a significant impact on the model, but I can't recall the exact reason.
WI
Wilbert
1 year ago
I remember practicing a similar question where we had to consider the SBC improvement, so maybe that's why it was removed?
KA
Karima
1 year ago
I think nAtBat was removed because its p-value was the largest, but I'm not entirely sure.
AM
Amber
1 year ago
Alright, I think I've got a handle on this. Based on the details given, I'm leaning towards option C as the best answer - that removing nAtBat yielded the largest improvement to the SBC criterion, which was the basis for the backward elimination.
LU
Lucina
1 year ago
The key here seems to be finding the answer choice that best aligns with the information provided about the model selection steps. I'll need to think through each option carefully to determine which one is most likely the correct explanation.
TA
Tasia
1 year ago
I'm a bit confused by the backward elimination process shown in the graphic. I'll need to make sure I understand how that works and what the SBC criterion is measuring before I can confidently answer this.
VI
Victor
1 year ago
Okay, let's see here. The question says that nAtBat was removed at Step 9, so I need to focus on what that step represents and how the selection criterion (SBC) was impacted by removing that variable.
SH
Shasta
1 year ago
Hmm, this looks like a tricky question. I'll need to carefully review the information provided in the image and the answer choices to determine which one best explains why nAtBat was removed from the model.
NU
Nu
2 years ago
Haha, I bet the person who wrote this question is a total baseball nerd. Anyway, the answer is C - removing nAtBat gave the biggest boost to the SBC, which is what the model cares about. Easy peasy.
TW
Twila
2 years ago
I think the p-Value for nAtBat was the largest, that's why it was removed.
RO
Roselle
2 years ago
I'm going to go with C. Removing nAtBat must have yielded the largest improvement to the SBC, otherwise it wouldn't have been the step chosen by the backward elimination process. This is a straightforward question if you understand the concept of model selection criteria.
KA
Kanisha
2 years ago
Definitely C. It's important to understand how each variable affects the model's performance.
LA
Lashawn
2 years ago
I agree. It's all about optimizing the model, and if removing nAtBat had the largest impact on SBC, then it was the right choice.
KA
Karl
2 years ago
I would have chosen C as well. It makes sense that the model selection process would prioritize improvement to SBC.
CH
Charlene
2 years ago
I think it's C too. The model probably improved the most when nAtBat was removed.
KI
Kimberely
2 years ago
C) Removing nAtBat yielded the largest improvement to SBC.
GL
Gladys
2 years ago
B) The p-Value for nAtBat was largest.
MA
Margurite
2 years ago
A) Removing nAtBat had the largest effect on the parameter estimate of nHits.
CE
Celia
2 years ago
I disagree, I believe nAtBat was removed because it yielded the largest improvement to SBC.
IN
Ines
2 years ago
I think nAtBat was removed because it had the largest effect on the parameter estimate of nHits.
TH
Thersa
2 years ago
Hmm, the p-value for nAtBat was the largest? That doesn't seem right. The question clearly says the model used backward elimination, so the answer has to be the one that maximizes the improvement to the selection criterion, which is SBC. C is the way to go.
DA
Daniel
2 years ago
Well, the question states that the backward elimination was based on the SBC criterion, so the answer must be C. Removing nAtBat resulted in the largest improvement to the SBC, which is the selection criterion used. Simple logic, really.
AL
Albina
2 years ago
Backward elimination is all about making the model more efficient by removing variables that don't contribute much.
OR
Oretha
2 years ago
It's all about optimizing the model based on the selection criterion chosen.
LA
Larue
2 years ago
So, the focus was on improving the SBC, not just looking at individual p-Values.
RO
Rodrigo
2 years ago
Exactly, it makes sense to remove nAtBat if it improves the SBC the most.