Sampling and Parameters in Statistics
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Questions and Answers

What is the definition of a sample?

  • A measure used to describe the sample
  • A sub-collection of elements drawn from a population (correct)
  • The process of selecting a subset of data from the population
  • A descriptive measure computed from the population
  • What is the definition of a parameter?

  • The process of selecting a subset of data from the population
  • The number of elements or observations to be included in the sample
  • A descriptive measure computed from the population (correct)
  • A measure used to describe the sample
  • What is the definition of a statistic?

  • The process of selecting a subset of data from the population
  • A certain characteristic that changes from object to object and from time to time
  • A sub-collection of elements drawn from a population
  • A measure used to describe the sample (correct)
  • What is the definition of a sampling frame?

    <p>A list of people, items, or units from which the sample is taken</p> Signup and view all the answers

    What is the definition of a variable?

    <p>A certain characteristic that changes from object to object and from time to time</p> Signup and view all the answers

    What is the definition of sample size?

    <p>The number of elements or observations to be included in the sample</p> Signup and view all the answers

    What is the sampling interval if you have a school with 1000 students and you want to select a sample of 100 students?

    <p>10</p> Signup and view all the answers

    When using systematic sampling, if the starting point selected is number 5, which student will be included in the sample after the 5th student?

    <p>15th student</p> Signup and view all the answers

    In stratified sampling, why is the population divided into different subgroups or strata?

    <p>To ensure representation of all groups within the population</p> Signup and view all the answers

    What is the purpose of determining the sample size for each stratum in stratified sampling?

    <p>To proportionally represent each subgroup in the sample</p> Signup and view all the answers

    In systematic sampling within each stratum during stratified sampling, how are samples selected?

    <p>By choosing every kth element</p> Signup and view all the answers

    Why is stratified sampling beneficial when a university wants to survey students about campus services?

    <p>It ensures representation from different student groups</p> Signup and view all the answers

    What sampling technique involves dividing the population into strata based on certain characteristics?

    <p>Stratified Sampling</p> Signup and view all the answers

    In stratified sampling, how does the university decide on the proportion of each group to include in the sample?

    <p>By selecting random individuals from each group</p> Signup and view all the answers

    Which non-random sampling method relies on existing study subjects recruiting future subjects from their acquaintances?

    <p>Snowball Sampling</p> Signup and view all the answers

    When is cluster sampling often used as a sampling method?

    <p>When the population is spread over a wide area</p> Signup and view all the answers

    What is the main concern with convenience sampling?

    <p>It leads to significant bias</p> Signup and view all the answers

    Which method of non-random sampling relies on the researcher's judgment to select individuals considered representative of the population?

    <p>Judgmental Sampling</p> Signup and view all the answers

    What is the main advantage of collecting primary data?

    <p>It is more relevant to the specific research question</p> Signup and view all the answers

    What is the first step in systematic sampling?

    <p>Determine the sample size</p> Signup and view all the answers

    Which of the following is NOT a method for collecting primary data?

    <p>Literature reviews</p> Signup and view all the answers

    What is the formula used to calculate the interval (k) in systematic sampling?

    <p>k = N / n</p> Signup and view all the answers

    Which of the following is a disadvantage of collecting primary data?

    <p>It can be more time-consuming and costly</p> Signup and view all the answers

    What is the purpose of systematic sampling?

    <p>To select a sample of subjects for study from a larger population</p> Signup and view all the answers

    Which of the following is the variable that is manipulated or varied in an experiment?

    <p>Independent variable</p> Signup and view all the answers

    If the number of hours spent studying per day is the independent variable, what would be the dependent variable?

    <p>Scores on a math test</p> Signup and view all the answers

    Which of the following is an example of a continuous variable?

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

    What type of variable is 'eye color'?

    <p>Nominal variable</p> Signup and view all the answers

    If a variable measures the level of satisfaction on a scale from 1 to 5, what type of variable is it?

    <p>Ordinal variable</p> Signup and view all the answers

    What is the main difference between quantitative and qualitative variables?

    <p>Quantitative variables can be counted or measured numerically, while qualitative variables cannot</p> Signup and view all the answers

    Study Notes

    Data Collection

    • Primary data is collected at the source, using methods such as surveys, interviews, focus groups, observations, and experiments.
    • Primary data is more relevant to the specific research question because it is collected with the research design and data requirements in mind.
    • However, collecting primary data can be more time-consuming, costly, and requires more resources than using secondary data.

    Systematic Sampling

    • Systematic sampling involves selecting members at regular intervals through an ordered list.
    • This type of sampling is often used when a complete list of all members of the population is available.
    • The steps to conduct systematic sampling are:
      • Determine the sample size
      • Calculate the interval (k) by dividing the size of the entire population (N) by the desired sample size (n)
      • Select the starting point randomly between 1 and k
      • Select the sample by starting from the randomly chosen point and selecting every k-th member of the population

    Variables

    • There are two main types of variables in statistics: independent variable (explanatory variable) and dependent variable (response variable).
    • Independent variable is the variable that is manipulated or varied in an experiment to explore its effect on a dependent variable.
    • Dependent variable is the outcome or response that is measured to see if it is affected by changes in the independent variable.
    • Examples of independent and dependent variables include:
      • Number of hours spent studying per day and scores on a math test
      • Duration of exercise per week and heart rate or cholesterol levels in participants
    • Variables can be classified into:
      • Quantitative variables (discrete and continuous)
      • Qualitative variables (nominal and ordinal)

    Measurements

    • A sample is a sub-collection of elements drawn from a population.
    • Sampling is the process of selecting a subset of data from the population.
    • Parameter is a descriptive measure (value) computed from the population.
    • Statistic is a measure used to describe the sample.
    • Examples of parameters and statistics include:
      • Population mean and population standard deviation
      • Sample mean and sample standard deviation

    Data Sources

    • Data sources can be classified into:
      • Historical sources (secondary sources)
      • Field sources (primary sources)
    • Historical sources include:
      • Books
      • Journal articles
      • Reports
      • Census data
      • Historical records
      • Data sets that are publicly available
    • Field sources include:
      • Primary data collected firsthand specifically for the research objectives

    Stratified Sampling

    • Stratified sampling is a method of sampling from a population in which the population is divided into different subgroups or strata that share similar characteristics.
    • Samples are then drawn from each stratum to ensure representation of all groups within the population.
    • The steps to conduct stratified sampling are:
      • Divide the population into strata based on a shared attribute or characteristic
      • Determine the sample size for each stratum
      • Select the sample from each stratum using random sampling or systematic sampling

    Cluster Sampling

    • Cluster sampling involves dividing the entire population into clusters (groups), and a random sample of these clusters is chosen.
    • All individuals within the selected clusters are then studied.
    • This method is often used when the population is spread over a wide area.

    Non-Random Sampling

    • Non-random sampling methods include:
      • Convenience sampling: selecting individuals who are easiest to reach
      • Judgmental or purposive sampling: selecting individuals who are considered to be representative of the population
      • Quota sampling: selecting individuals to meet specific quotas
      • Snowball sampling: existing study subjects recruit future subjects from among their acquaintances

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    Description

    Learn about sampling, parameters, and statistics in statistics. Understand the difference between parameters, which describe the entire population, and statistics, which describe the sample. Explore how sampling is the process of selecting a subset of data from a population.

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