Statistics Overview

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Questions and Answers

What is the primary focus of biostatistics?

  • Analysis of data in business
  • Applications in health sciences and biology (correct)
  • Development of statistical theory in mathematics
  • Creation of new programming languages

A population is a set of values that a variable can have.

True (A)

What distinguishes a parameter from a statistic?

A parameter refers to a characteristic of the population, while a statistic refers to a characteristic of the sample.

A collection of data is often called a _____ set.

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

Which of the following best describes a quantitative variable?

<p>A characteristic that can have different values (C)</p> Signup and view all the answers

Match the following terms with their definitions:

<p>Sample = A part of a population Population = The complete set of values a variable may have Statistic = A characteristic of a sample Parameter = A characteristic of a population</p> Signup and view all the answers

Data is singular and refers to a single observation.

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

Provide one example of a qualitative variable.

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

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Study Notes

Statistics

  • Statistics is the study of how we make sense of data arising from random processess or phenomena.
  • The field of statistics provides fundamental techniques for the scientific method through:
    • Forming hypotheses
    • Designing experiments and observational studies
    • Gathering data
    • Summarizing data
    • Drawing inferences from data and testing hypotheses

Branches of Statistics

  • Mathematical Statistics is the development of statistical theory and methods.
  • Applied Statistics involves the application of statistical methods to solve real problems involving randomly generated data.

Biostatistics

  • Biostatistics is a branch of applied statistics focusing on health sciences and biology.

Data

  • Data are observations of random variables made on elements of a population or sample.
  • Data are quantities, numbers, or qualities observed and collected for analysis.

Variables

  • A variable is an object, characteristic, or property that can vary in different places, persons, or things.
  • A quantitative variable can be measured.
    • Examples: heart rate, height, weight, age, size of a tumor, volume of a dose.
  • A qualitative (categorical) variable cannot be measured, but can be sorted into categories.
    • Examples: gender, drug name, disease status.

Populations and Samples

  • A population is the collection of every value that a variable may have.
  • A sample is a part of the population.
  • We use sample data to draw inferences about the population.
    • The sample mean is not the true mean but may be very close depending on the sample size.

Parameters vs. Statistics

  • A parameter is a characteristic of the population.
  • A statistic is a characteristic of the sample.
  • We estimate sample mean to have insight on the true population mean.
    • The sample mean is a ‘statistic’.
    • The population mean is a ‘parameter’.

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