ISYE 6501 ISYE6501 Final Exam 2

ISYE 6501 / ISYE6501 Final Exam 2 (Latest Update 2025 / 2026) Intro to Analytics Modeling | Questions & Answers | 100% Correct | Grade A - Georgia Tech

Question:

When do you use hypothesis tests?

Answer:

When you know the underlying distribution

Question:

What type of test should you conduct if you do not know the underlying distribution

Answer:

non-parametric tests

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Question:

Nonparametric tests are useful when...

Answer:

1) we don't know much about the form of the underlying distribution the data comes from, or it doesn't fit a nice distribution.

2) it's important to have information about the median.

3) we don't have much data.

Question:

When to use McNemar's Test

Answer:

• compare pairs of results (responses. i.e whether the treatment worked.

Throws out the cases where the results are the same)

• data points where 2 approaches were used on the same thing
• virus example w/ 2 different treatments
• uses the binomial distribution
• 2 data sets
• yi or zi are yes/no responses

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Question:

Wilcoxon signed rank test for medians

Answer:

-Assume the the response function is continuous and -symmetric - and only asks if the median of the distro is different from a specified value (m)

• 1 data set
• sum of ranks
• calculate p-value
• like a normal distribution test
• | yi | - m, rank ascending, add up ranks only where yi > m

---- 2 pairs ----

• 2 data sets
• |yi|-zi -- a lot like McNemar's test, but used when yi/zi are numeric

Question:

Mann-Whitney test

Answer:

Observations are independent (different viruses, not paired) - one data set rank yi and zi together

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Question:

When to use Empirical Bayes Modeling

Answer:

• Overall distribution of something is known or estimated
• Only a little data available

Take a single observation combined with a broader set of observations that are relevant in general, but not specifically...and make a deduction or a prediction.

Question:

Communities in graphs focus on what

Answer:

automated ways of finding highly-interconnected subpopulations.

Question:

What is a clique in a community

Answer:

a set of nodes that all have edges between each other

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