Statistics Chapter 5 - Data and Sampling Methods

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Questions and Answers

What are the three key elements required to determine a cause in an experimental study?

Control, Randomization, and Replication.

How does response bias affect survey results?

Response bias can lead respondents to alter their answers to influence results or to avoid embarrassment.

What distinguishes primary source data from secondary source data?

Primary source data is collected and analyzed directly by the researcher, whereas secondary source data is used by someone other than the original collector.

What is sampling bias, and why can it be problematic in research?

<p>Sampling bias occurs when the sample does not accurately represent the population, leading to skewed results.</p> Signup and view all the answers

Explain one way in which data display can introduce bias.

<p>Different ways of displaying data can distort its interpretation, such as using misleading charts or selective data points.</p> Signup and view all the answers

What distinguishes continuous data from discrete data?

<p>Continuous data can take on any decimal value, while discrete data consists of specific whole numbers.</p> Signup and view all the answers

Why is random sampling important in data collection?

<p>Random sampling reduces bias and ensures that the sample accurately represents the population.</p> Signup and view all the answers

Define and give an example of ordinal data.

<p>Ordinal data is qualitative data that can be ranked, such as ratings like poor, fair, and good.</p> Signup and view all the answers

What is the primary difference between observational and experimental studies?

<p>Observational studies involve watching and inferring without manipulation, while experimental studies involve controlled conditions to test hypotheses.</p> Signup and view all the answers

How does variability affect the accuracy of samples in a population?

<p>Greater similarity among samples indicates lower variability, making the sample more representative of the population.</p> Signup and view all the answers

What is a treatment group in the context of experiments?

<p>A treatment group consists of participants who receive the specific treatment being tested.</p> Signup and view all the answers

Explain the concept of cluster sampling and its advantages.

<p>Cluster sampling involves dividing the population into groups and randomly selecting some of those groups to survey; it's time and cost-efficient.</p> Signup and view all the answers

What are the disadvantages of using convenience sampling?

<p>Convenience sampling may result in unreliable outcomes as it often excludes crucial segments of the population.</p> Signup and view all the answers

Flashcards

Experimental Study

A type of research study where researchers manipulate one or more variables to observe their effects on another variable. It's used to determine cause-and-effect relationships.

Control in Experimental Studies

To ensure a study's results are not influenced by unintended factors, researchers must control the experiment's environment and procedures.

Randomization in Experimental Studies

A process used in experimental studies to assign participants randomly to different groups, ensuring similar demographic characteristics across groups.

Replication in Experimental Studies

The process of repeating an experiment with different participants or in different settings to confirm findings and ensure reliability.

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Bias in Research

When the data collection method or survey design systematically favors certain responses over others, leading to inaccurate findings.

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Numerical Data

Data expressed in numbers, such as weight or height.

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Categorical Data

Data placed into categories or groups, such as eye color or favorite foods.

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Continuous Data

Numerical data that can take on any value within a range, such as height or temperature.

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Discrete Data

Numerical data that only takes on specific, whole number values, such as the number of siblings.

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Ordinal Data

Categorical data that can be ranked or ordered, such as ratings on a scale of 'poor' to 'excellent'.

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Nominal Data

Categorical data that cannot be ranked or ordered, such as eye color or flavors.

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Population

The entire group of individuals being studied in research.

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Sample

A smaller, representative selection of individuals chosen from a larger population.

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Variability

The degree to which samples differ from one another.

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Simple Random Sampling

A sampling method where every individual in the population has an equal chance of being selected.

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Stratified Sampling

A sampling method that divides the population into groups based on a characteristic and then randomly selects individuals from each group.

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Systematic Sampling

A sampling method that involves selecting individuals from a population at regular intervals.

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Cluster Sampling

A sampling method that divides the population into clusters (groups) and then randomly selects a few clusters to survey.

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Multistage Sampling

A multi-stage sampling method that involves dividing the population into a hierarchy of groups and randomly selecting individuals at each stage, e.g., schools, classes, students.

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Convenience Sampling

Choosing individuals from the population based on their ease of accessibility.

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Observational Experiment

Collecting data without manipulating any variables. Researchers simply observe and make inferences.

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Experimental Experiment

An experiment where researchers manipulate one or more variables to see their effect on another variable. A controlled environment.

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Treatment Group

The group of participants in an experiment who receive the treatment or intervention being studied.

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Control Group

The group of participants in an experiment who do not receive the treatment or intervention. They serve as a comparison point.

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Study Notes

Chapter 5.1 - Quantitative Data

  • Quantitative data: numerical data, e.g., weight
  • Qualitative data: categorical data, e.g., eye color
  • Continuous data: infinite possible values, e.g., weight
  • Discrete data: finite possible values, e.g., whole numbers
  • Data variability: errors can occur due to varying conditions or differences in measurement

Chapter 5.2 - Sampling Methods

  • Population: entire group being studied
  • Sample: portion of the population selected
  • Sampling methods must be random
    • Simple random: randomly selecting items/people with equal chances.
    • Systematic: selecting items/people at regular intervals from an ordered list.
    • Stratified: dividing the population into subgroups and selecting a proportionate number from each.
    • Cluster: dividing the population into groups and randomly selecting some of the groups for inclusion.
    • Multi-stage: using a hierarchical approach, randomly selecting individuals from each stage.
    • Convenience: selecting individuals easily accessible.

Chapter 5.3 - Types of Experiments

  • Observational studies: observe and record without influencing participants.
  • Experimental studies: manipulate variables to observe effects.
  • Experimental design characteristics:
    • Control group: doesn't receive treatment for comparison
    • Treatment group: receives the treatment
    • Random assignment: assigns participants randomly to treatment or control groups to reduce bias.
    • Replication: repeating the experiment to ensure results are consistent.
    • Randomization: Randomly selecting or assigning members to a sample, to reduce bias.
  • Survey design: Surveys not as controlled as experiments, can have bias due to sampling techniques or question phrasing.

Chapter 5.4 - Analyzing Primary/Secondary Data

  • Primary data: data collected directly from the source, e.g., interviews, surveys.
  • Secondary data: data collected by others, often analyzed and summarized for easier use.
  • Response bias: when participants change their answers to influence results or avoid embarrassment.
  • Sampling bias: when the sample doesn't represent the entire population.
  • Measurement bias: when the collection method consistently over or under represents characteristics.
  • Non-response bias: low response rates can skew results as only certain groups respond—their responses don't represent the complete population.
  • Displaying data: Different formats can subtly distort the data’s meaning.

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