Simulating Size and Power Using a 10-Sided Die

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Title:

Simulating Size and Power Using a 10-Sided Die

Url:

https://serc.carleton.edu/sp/cause/datasim/examples/15788.html

Creator:

Blankenship, Erin
Young, Linda J., 1952-

Publisher:

Carleton College (Northfield, Minn.)

Description: This group activity illustrates the concepts of size and power of a test through simulation. Students simulate binomial data by repeatedly rolling a ten-sided die, and they use their simulated data to estimate the size of a binomial test. They carry out further simulations to estimate the power of the test. After pooling their data with that of other groups, they construct a power curve. A theoretical power curve is also constructed, and the students discuss why there are differences between the expected and estimated curves. Key words: Power, size, hypothesis testing, binomial distribution.

LC Classification:

Science -- Mathematics -- Mathematical statistics -- Study and teaching. Research
Science -- Mathematics -- Mathematical statistics -- Testing of hypotheses
Science -- Mathematics -- Probabilities -- Distributions. Characteristic functions

GEM Subject:

Mathematics -- Instructional issues
Mathematics -- Statistics

Key Concept:

Mathematics -- Binomial distribution
Mathematics -- Hypothesis testing
Mathematics -- Statistics

Resource Type:

Instructional Material
Instructional Material -- Lesson/Lesson Plan

Format:

Document -- DOC
Document -- HTML

Audience:

Educator
Learner

Education Level:

High School
Higher Education
Higher Education -- Undergraduate (Lower Division)
Higher Education -- Undergraduate (Upper Division)
Higher Education -- Technical Education (Upper Division)
Higher Education -- Technical Education (Lower Division)
Vocational/Professional Development Education

Language:

English

Access Rights:

Free access

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Source:

CAUSEweb

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