Review Sheet for Test II, Fall 2015
Colorado State University, Pueblo
Math 156 — Introduction to Statistics
Definitions/Concepts
Terms and statements you should know -- be able to state clearly what they
mean, recognize them in examples, and create your own examples of them
- population
- sample
- simple random sample [SRS}
- stratified random sample
- bias
- lurking variable
- voluntary response bias
- undercoverage
- wording effects
- publication
- observational study
- experiment
- treatment
- factors
- subjects
- randomization
- control
- placebo [effect]
- [double]-blind
- statistically significant
- informed consent
- institutional review board [IRB]
- confidentiality/anonymity
- "do no harm"
- probability model
- sample space
- outcome
- event
- continuous/discrete RV
- density curve of a continuous RV
- disjoint
- sum rule for probabilities
- A or B for events A and B; also $A\cup B$
- fair [die or coin]
- independent events
- product rule for probabilities
- A and B for events A and B; also $A\cap B$
- conditional probability
- Venn diagram for computing probabilities from given information
- tree diagram for conditional probabilities
Things to know how to do
- discuss possible sources of bias and propose lurking variables in an
experiment
- to investigate specific questions, propose experimental designs which
will reduce bias, create a randomized, controlled, double-blind
situation, and avoid ethical pitfalls
- analyze a proposed experimental design for effectiveness and ethical
considerations (being informed consent, IRB, confidentiality, "do no
harm"
- given an description of a situation with randomness, define an appropriate
sample space, compute probabilities of given events and their combinations,
and compute the distribution of a given RV
- compute conditional probabilities, make Venn diagrams, verify and use
independence of events
Format of the test
There will be several problems from the material corresponding to each chapter
we've done in the textbook, of a level of difficulty and wording similar to
the problems which you have done for homework and quizzes. The total points
for the test will be more than 100, you can choose which 100 points you want
to do out of the available problems.
Don't forget your calculator, you will need it!