Statistics Chapter 1 - Terminologies

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Questions and Answers

Which type of sampling involves selecting groups based on pre-existing characteristics rather than individual attributes?

  • Stratified sampling
  • Systematic sampling
  • Simple random sampling
  • Cluster sampling (correct)

Quantitative variables can only take on categorical values.

False (B)

What is a confidence interval?

A range of values used to estimate a population parameter with a certain level of confidence.

In systematic sampling, every ___ individual or item is measured or selected.

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

Match the sampling methods with their correct definitions:

<p>Simple random sampling = Every possible sample has the same chance of being selected Cluster sampling = Groups selected based on pre-existing characteristics Systematic sampling = Selecting every kth individual Stratified sampling = Dividing the population into subgroups and sampling from them</p> Signup and view all the answers

What is the size of a sample denoted by?

<p>n (B)</p> Signup and view all the answers

A census surveys only a part of the population.

<p>False (B)</p> Signup and view all the answers

What is the main purpose of statistics?

<p>To gather, organize, analyze, and interpret data.</p> Signup and view all the answers

The complete collection of information from all individuals in a study is known as the __________.

<p>population data</p> Signup and view all the answers

Match the following statistical terms with their definitions:

<p>Population = Complete collection of all individuals or subjects of interest Sample = Partial collection of information from some individuals of interest Parameter = Numerical measure that describes a characteristic of the population Statistic = Estimate of a population parameter based on sample data</p> Signup and view all the answers

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Study Notes

Introduction to Statistics

  • Statistics encompasses the collection, organization, analysis, and interpretation of data.
  • It plays a crucial role in decision-making amidst uncertainty.
  • Biostatistics focuses specifically on data from biological and medical contexts.

Key Terminologies in Statistics

  • Population (N): A complete set of individuals or items of interest in a study.
    • Entire data collected for all individuals is termed population data.
    • A census gathers data from every individual in the population.
  • Sample (n): A subset of the population providing partial information.
    • Sample size (n) represents the number of observations from the population.
  • Parameter: A numerical value that characterizes a population's attributes (e.g., mean, median, variance).
  • Statistic: An estimate derived from sample data representing the population parameter.

Types of Statistics

  • Descriptive Statistics: Methods used for summarizing and organizing data.
    • Techniques include stem-and-leaf plots, frequency tables, contingency tables, bar charts, pie charts, histograms, and scatter plots.
  • Inferential Statistics: Involves interpreting descriptive statistics to make population-related conclusions.
    • Key methods include confidence intervals and hypothesis testing.

Individuals and Variables

  • Individuals: The subjects (people, places, things) from which data is collected.
  • Variables: Characteristics of individuals that can be observed or measured.
    • Qualitative Variables: Categorical data that classifies individuals into groups.
    • Quantitative Variables: Numerical data suitable for mathematical operations.

Random Variables

  • Discrete Random Variable: Takes on finite, distinct outcomes (e.g., counts).
  • Continuous Random Variable: May assume an infinite set of outcomes (e.g., measurements).

Sampling Techniques

  • Simple Random Sampling: Each combination of individuals has an equal chance of selection, ensuring randomness.
  • Cluster Sampling: Involves selecting groups based on pre-existing categories without regard to individual characteristics.
  • Systematic Sampling: Every k-th individual in the population is selected, introducing a systematic method of choosing samples.

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