Statistical Data Collection: Population and Sample Fundamentals

Fundamentals of Population and Sample Data

• Population ($pop$):

  • The complete set of all elements, individuals, items, or observations whose characteristics are being studied.
  • Represents the entire group under investigation.

• Population Data:

  • Data collected from all members of a population.
  • Obtaining data from every single member of the population constitutes a census.
  • When data is gathered from every unit within the target group, the resulting measurements reflect the true population attributes without sampling bias.

• Sample:

  • A representative subset, subgroup, or sub-collection of members selected from a population.
  • Used to make inferences, estimations, or statistical generalizations about the overall population when measuring every member is impractical or impossible.

Key Abbreviations and Notation

• $1.1$:

  • Introductory section reference for fundamental statistical concepts regarding population and sample definitions.

• $PP$:

  • Abbreviation associated with Population Parameter (or Population Properties), which refers to numerical values that summarize or describe specific characteristics of an entire population.

• $pop - Gysk$:

  • Specific notation or designation pairing the population ($pop$) with its structural attribute or parameter identifier ($Gysk$).

• $Sample$:

  • Designation for the subset gathered from the population ($pop$) to compute sample statistics.