Data Collection Methods - ACT Math

  1. What is a control group?
    A group in an experiment that does not receive the treatment. Used for comparison to measure treatment effectiveness.
  2. What is interval data?
    Numerical data with meaningful intervals but no true zero. Temperature in Celsius is a classic example.
  3. Define bias in data collection.
    A systematic error that leads to incorrect conclusions. It occurs when the sample isn't representative of the population.
  4. What is nominal data?
    Categorical data without a natural order. Examples include gender, color, or brand names.
  5. What is a longitudinal study?
    Research conducted over a long period to observe long-term effects. Tracks changes in subjects over extended time periods.
  6. Define experimental study.
    A study where a treatment is applied to observe its effects. This allows researchers to test cause-and-effect relationships.
  7. What is a sample in statistics?
    A subset of the population used to infer about the population. It's used when studying the entire population isn't practical.
  8. What is convenience sampling?
    Selecting individuals that are easiest to reach. This method is quick but may not represent the full population.
  9. What is stratified sampling?
    Dividing a population into subgroups and sampling each subgroup. This ensures representation from all relevant subgroups.
  10. Identify the main purpose of data collection.
    To gather information for analysis and decision-making. Data supports research, planning, and problem-solving.
  11. Define cluster sampling.
    Dividing population into clusters and randomly selecting entire clusters. Useful when natural groups exist within the population.
  12. Identify the difference between a parameter and a statistic.
    A parameter describes a population; a statistic describes a sample. Parameters are true values; statistics are estimates from samples.
  13. Define the term 'response rate'.
    The proportion of respondents who completed the survey. Higher rates indicate more representative results.
  14. What is a population in statistics?
    The entire group of individuals or items being studied. This is the total set from which samples are drawn.
  15. Identify the Hawthorne effect.
    Subjects alter behavior because they know they are being observed. Being observed changes how people naturally behave.
  16. Define placebo.
    A substance with no therapeutic effect used as a control. Helps control for psychological effects of receiving treatment.
  17. Define systematic sampling.
    A method where every nth individual is chosen from a list. For example, selecting every 10th person from a numbered list.
  18. Define ratio data.
    Numerical data with meaningful intervals and a true zero. Height, weight, and time are common examples.
  19. What is the purpose of random sampling?
    To reduce bias and ensure each member of a population has equal chance of selection. This prevents selection bias and improves representativeness.
  20. Define ordinal data.
    Categorical data with a meaningful order but no fixed intervals. Like rating scales: poor, fair, good, excellent.
  21. What is the purpose of data validation?
    To ensure accuracy and quality of data collected. Checks for errors, completeness, and consistency.
  22. What does a double-blind experiment mean?
    Neither participants nor researchers know who receives treatment. This prevents bias from expectations affecting results.
  23. Identify a key characteristic of reliable data.
    Consistency in results across different occasions. Reliable data gives similar results when measurement is repeated.
  24. Define quantitative data.
    Numerical data representing counts or measurements. This includes discrete counts and continuous measurements.
  25. What is the main advantage of using surveys?
    They can collect data from a large number of respondents quickly. They're cost-effective and can reach geographically dispersed groups.
  26. Define cross-sectional study.
    Observational study analyzing data from a population at one point in time. Provides a snapshot of a population at a specific moment.
  27. What is an inference in statistics?
    A conclusion drawn about a population based on a sample. Uses sample data to make predictions about the whole population.
  28. What is the purpose of a pilot study?
    To test the feasibility and design of a larger study. It's a small-scale trial run before the full study.
  29. What is an observational study?
    A study where no treatment is applied and subjects are observed. Researchers watch but don't manipulate any variables.
  30. What is qualitative data?
    Non-numerical data describing characteristics or qualities. Examples include colors, names, or categories.

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