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OMSA Midterm 2 Exam Study Guide with Complete Solutions

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OMSA Midterm 2 Exam Study Guide with Complete Solutions Overfitting - Answer-Number of factors is too close to or larger than number of data points -- fitting to both real effects and random effects. Comes from including too many variables! Ways to avoid overfitting - Answer-- Need number of fa...

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OMSA Midterm 2 Exam Study Guide
with Complete Solutions

Overfitting - Answer✔✔-Number of factors is too close to or larger than number of data points -- fitting

to both real effects and random effects. Comes from including too many variables!


Ways to avoid overfitting - Answer✔✔-- Need number of factors to be same order of magnitude as the

number of points


- Need enough factors to get good fit from real effects and random effects


Simplicity - Answer✔✔-Simple models are better than complex. When fewer factors exist, less data

collection is required -- less chance for including factors that are not significant. Another reason for

variable selection!


DOE - Answer✔✔-systematic method to determine the relationship between factors affecting a process

and the output of that process.


must make sure either:


1) 2 data sets have same mix


2) break down data into smaller tests that test all factors, not just one.


forward selection - Answer✔✔-go step by step either narrowing or building a model -- begin with no

factors.


only allow new factors with p-value 0.1 or lower and removing any factors above 0.05.


Page 1/14

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Greedy models - Answer✔✔-forward selection, backward selection, stepwise regression




means: at each step it does the one thing that looks best withouth taking future options into

consideration


scaled variable selection models - Answer✔✔-lasso, elastic net, (and ridge even though not variable

selection)


backward selection - Answer✔✔-start with model includes all factors and at each step find worst factor

and remove it from the model.


continue till there's no factor bad enough to remove and model doesn't have any more factors we want.


step-wise regression - Answer✔✔-combination of forward and backward elimination -- beginning with

either all factors or no factors.


after adding each new factor (and at end) -- eliminate right away any factors that no longer appear any

good. future options are not considered.


could use AIC or BIC, or model's R squared to pick factor to add/remove in fwd, bckwd, or stepwise


lasso method - Answer✔✔-adds constraint tau to std reg model. chooses coefficients to min sum of

squared errors.




right value of tau dependent on 2 things:


1) # of variables you want


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