ScholarQuill logoScholarQuillUniversity Notes
  • Notes
  • Past Papers
  • Blogs
  • Todo
Login
ScholarQuill logoScholarQuillUniversity Notes
Login
NotesPast PapersBlogsTodo
More
SubjectsDiscussionCGPA CalculatorGPA CalculatorStudent PortalCourse Outline
About
About usPrivacy PolicyReportContact
Notes
Past Papers
Blogs
Todo
Analytics
    Current Subject
    🧩
    Introduction to Statistics
    STAT2115
    Progress0 / 24 topics
    Topics
    1. Scope of Statistics2. Introduction to Basic Concepts of Statistics: Descriptive and Inferential Statistics3. Population, Sample, Parameter, and Statistic4. Types of Data and Scales of Measurement5. Frequency Distribution and Graphical Representation6. Bar Chart, Pie Chart, and Histogram7. Frequency Polygon, Frequency Curve, and Cumulative Frequency Polygon8. Measures of Central Tendency9. Quantiles10. Absolute and Relative Measures of Dispersion11. Moments, Skewness and Kurtosis12. Basic Concepts of Probability13. Counting Rules: Multiplication Principle, Permutation and Combination14. Probability Spaces and Laws of Probability15. Conditional Probability and Bayes' Theorem16. Discrete and Continuous Random Variables17. Probability Distributions: Binomial, Poisson, and Hypergeometric18. Probability Distributions: Uniform, Exponential, and Normal19. Overview of Sampling: Sample Design and Sampling Frame20. Sampling and Non-Sampling Errors21. Sampling Distributions for Mean and Proportion22. Sampling Distributions for Difference of Means and Difference of Proportions23. Overview of Hypothesis Testing24. Overview of Regression Analysis
    STAT2115›Overview of Sampling: Sample Design and Sampling Frame
    Introduction to StatisticsTopic 19 of 24

    Overview of Sampling: Sample Design and Sampling Frame

    2 minread
    379words
    Beginnerlevel

    1. Sampling

    Definition: Sampling is the process of selecting a subset (sample) of individuals or items from a larger population to estimate characteristics of the whole population.

    Purpose of Sampling:

    • Saves time, cost, and effort
    • Enables quick decision-making
    • Provides reliable estimates if designed correctly

    2. Key Terms

    Term Definition
    Population (Universe) The complete set of items or individuals of interest.
    Sample A subset of the population selected for study.
    Sampling Unit Each individual element or group that can be selected.
    Parameter Numerical measure describing the population (e.g., population mean).
    Statistic Numerical measure computed from the sample (e.g., sample mean).

    3. Sampling Design

    Definition: A sampling design is a plan or strategy that specifies how to select a sample from a population.

    Steps in Sampling Design:

    1. Define the population clearly.
    2. Decide the sample size based on accuracy, cost, and variability.
    3. Choose the sampling method (probability or non-probability).
    4. Select the sample according to the method.
    5. Collect data from the selected sample.

    Types of Sampling Designs

    A. Probability Sampling (Random Selection)

    Every element has a known, non-zero probability of being selected. Examples:

    • Simple Random Sampling
    • Stratified Sampling
    • Systematic Sampling
    • Cluster Sampling

    B. Non-Probability Sampling (Non-Random Selection)

    Selection is not based on probability. Examples:

    • Convenience Sampling
    • Judgmental Sampling
    • Quota Sampling

    Note: Probability sampling allows estimation of sampling error, whereas non-probability sampling does not.


    4. Sampling Frame

    Definition: A sampling frame is a list or representation of all the elements in the population from which the sample is drawn.

    Importance:

    • Ensures the sample represents the population
    • Avoids coverage errors (missing or duplicated elements)

    Example:

    • Population: All students in a university
    • Sampling frame: List of all registered students for the current semester

    Key Point: A poor or incomplete sampling frame can lead to biased results, even if the sampling method is correct.


    5. Summary Diagram (Conceptual)

    Population (Universe)
         |
         v
    Sampling Frame (List of elements)
         |
         v
    Sampling Design (Plan)
         |
         v
    Sample Selected
         |
         v
    Data Collection & Analysis
    

    6. Key Points to Remember

    1. Population → Sampling frame → Sample → Analysis is the correct order.
    2. A good sampling design ensures representativeness and minimizes bias.
    3. Sampling frame quality is crucial; missing or duplicate elements reduce reliability.
    4. Probability sampling → estimation with known error; Non-probability → cannot measure error accurately.
    Previous topic 18
    Probability Distributions: Uniform, Exponential, and Normal
    Next topic 20
    Sampling and Non-Sampling Errors

    Past Papers

    Open this section to load past papers

    Click on Show Past Papers to see past papers.
    On This Page
      Reading Stats
      Est. reading time2 min
      Word count379
      Code examples0
      DifficultyBeginner