Experimental Design and Hypothesis Testing
8 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the main characteristic of a designed experiment?

  • It looks back at past data to identify relationships between variables.
  • It asks a lot of people a few well-constructed questions.
  • It actively manipulates variables to observe their effect on a specific outcome. (correct)
  • It observes real-world conditions without manipulating variables.

    • What is the purpose of a two-sample hypothesis test?

  • To ask a lot of people a few well-constructed questions.
  • To compare two population parameters using data from two independent samples. (correct)
  • To test a hypothesis about a single population parameter.
  • To identify relationships between variables in past data.

    • What is an axiom in the context of statistics?

  • A method of data collection.
  • A statement that is taken to be true, to serve as a premise. (correct)
  • A type of probability distribution.
  • A hypothesis to be tested.

    • What describes the relative likelihood of a random variable taking on different possible values?

    <p>Probability Distribution.</p> Signup and view all the answers

    What is the advantage of the Cumulative Distribution Function (CDF)?

    <p>It can be defined for any kind of random variable, whether discrete, continuous, or mixed.</p> Signup and view all the answers

    What is a fractional factorial experiment design?

    <p>A variation of the basic factorial arrangement in which only a subset of the factor combinations are actually tested.</p> Signup and view all the answers

    What is the purpose of an observational study?

    <p>To observe real-world conditions for a period of time without manipulating variables.</p> Signup and view all the answers

    What is the purpose of a survey?

    <p>To ask a lot of people a few well-constructed questions.</p> Signup and view all the answers

    Study Notes

    Experiment Designs

    • Designed experiment: actively manipulates variables to observe their effect on a specific outcome
    • Factorial experiment design: uses every possible combination of factor levels to form a basic experiment with "k" different settings for the process
    • Fractional factorial experiment design: a variation of the basic factorial arrangement, testing only a subset of the factor combinations

    Hypothesis Testing

    • One-sample hypothesis: tests a hypothesis about a single population parameter based on data from a single sample
    • Two-sample hypothesis: compares two population parameters using data from two independent samples

    Study Types

    • Observational study: observes real-world conditions for a period of time without manipulating variables
    • Retrospective study: looks back at past data to identify relationships between variables
    • Survey: a method to ask a lot of people a few well-constructed questions, with a series of unbiased questions that the subject must answer

    Probability and Statistics

    • Axiom: a postulate, assumption, or a statement that is taken to be true, serving as a premise for further reasoning and arguments
    • Probability distribution: describes the relative likelihood of a random variable taking on different possible values
    • Probability mass function: used for discrete random variables
    • Probability density function: used for continuous random variables
    • Cumulative Distribution Function (CDF): describes the distribution of random variables, can be defined for any kind of random variable (discrete, continuous, or mixed)
    • Expected value (mean): provides a measure of the central tendency of a probability distribution, calculated using the equation E(X) = ...
    • Variance: measures the degree of spread or dispersion of the values of a variable around the expected value (mean), calculated using the formula V(X) = ...
    • Standard deviation: the square root of the variance, providing a measure of the amount of variation or dispersion in a set of values

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Description

    Test your knowledge of experimental design, including factorial and fractional factorial designs, and hypothesis testing for a single population parameter.

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser