Math 133 Chapter 3 Flashcards
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Questions and Answers

What is a double-blind experiment?

  • An experiment where neither the researcher nor the participant knows the treatment (correct)
  • An experiment where only the researcher knows the treatment
  • An experiment with no control group
  • An experiment where all participants know the treatment
  • Undercoverage occurs when the proportion of one segment of the population is higher in a sample than it is in the population.

    False

    What is a census?

    A list of all individuals in a population along with certain characteristics of each individual.

    What occurs when the effects of two or more explanatory variables are not separated?

    <p>Confounding.</p> Signup and view all the answers

    A designed experiment occurs when a researcher simply observes without manipulating any variables.

    <p>False</p> Signup and view all the answers

    What does it mean if a variable is at the ratio level of measurement?

    <p>It has all properties of the interval level and the ratios of the values have meaning.</p> Signup and view all the answers

    What is continuous data?

    <p>Observations corresponding to a continuous variable.</p> Signup and view all the answers

    What are quantitative data?

    <p>Observations corresponding to a quantitative variable.</p> Signup and view all the answers

    What is a sample?

    <p>A subset of the population that is being studied.</p> Signup and view all the answers

    What is the mean?

    <p>The balancing point of the data set</p> Signup and view all the answers

    What is inferential statistics?

    <p>Methods that extend results from a sample to the population and measure the reliability of the result.</p> Signup and view all the answers

    Define descriptive statistics.

    <p>They consist of organizing and summarizing data.</p> Signup and view all the answers

    What is a parameter?

    <p>A numerical summary of a population.</p> Signup and view all the answers

    What is a placebo?

    <p>A sugar tablet that mimics the experimental medication</p> Signup and view all the answers

    What is a convenience sample?

    <p>A sample in which individuals are easily obtained.</p> Signup and view all the answers

    A cluster sample involves selecting individuals from multiple groups randomly.

    <p>False</p> Signup and view all the answers

    What is nonresponse bias?

    <p>Exists when individuals selected for the sample do not respond and differ in opinions from those who do.</p> Signup and view all the answers

    What is a lurking variable?

    <p>An explanatory variable not considered in a study</p> Signup and view all the answers

    Study Notes

    Experimental Design

    • A double-blind experiment keeps both the experimental unit and researcher unaware of treatment assignments to avoid bias.
    • Confounding occurs when multiple explanatory variables affect the response variable, complicating the interpretation of results.
    • A designed experiment involves researchers assigning treatments to individuals to investigate the impact on response variables.

    Sampling Methods

    • Undercoverage leads to sampling bias; certain population segments are inadequately represented in the sample.
    • A census is a complete list of individuals in a population with specific characteristics.
    • A sample is a subset of a population that is studied to draw conclusions about the larger group.
    • Stratified sampling involves dividing the population into homogeneous groups (strata) and randomly sampling from each stratum.

    Data Measurement Levels

    • Nominal level of measurement categorizes variables without a ranked order.
    • Ordinal level provides a ranked order but doesn’t quantify differences between ranks.
    • Interval level entails ordered values where differences are meaningful but lack a true zero point.
    • Ratio level includes all interval properties, with meaningful ratios and an absolute zero indicating the absence of quantity.

    Types of Variables

    • Continuous data correspond to continuous variables that can take an infinite number of values.
    • Discrete data are observations from a discrete variable that has finite or countable values.
    • Qualitative data categorize characteristics or qualities of individuals.
    • Quantitative data represent measurable quantities and can be continuous or discrete.

    Statistical Concepts

    • Statistics involves collecting, organizing, summarizing, and analyzing data to draw conclusions with confidence.
    • A parameter is a numerical summary of a population, while a statistic summarizes sample data.
    • Descriptive statistics organize and summarize data, while inferential statistics extend findings from a sample to a population and assess reliability.

    Research Process

    • Clearly identify the research objective to define the population and questions of interest.
    • Collect data meticulously to ensure the validity of conclusions, often relying on samples due to logistical challenges in studying entire populations.

    Observational Studies

    • An observational study measures the response variable without influencing either the response or explanatory variables, allowing for natural behavior analysis.
    • Lurking variables can introduce bias; they are unaccounted for variables that impact the response and may be related to the explanatory variables.

    Bias in Sampling

    • Nonresponse bias occurs when selected individuals don’t respond, potentially skewing results.
    • Sampling bias favors certain population segments, leading to unrepresentative data.

    Experiment Components

    • A control group provides a baseline for comparing treatment effects.
    • Blinding prevents participants or researchers from knowing treatment assignments, reducing potential bias.
    • A placebo mimics the experimental medication but lacks therapeutic effects, ensuring comparison between treatment and control groups.

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    Description

    Test your knowledge with these flashcards covering key concepts from Math 133, Chapter 3. This chapter focuses on important principles of statistics and research methodologies, including double-blind experiments and sampling bias. Perfect for students looking to reinforce their understanding of statistical concepts.

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