10 Questions
What is the primary focus of the field of statistics?
Making sense of data arising from random processes or phenomena
What is the main difference between mathematical statistics and applied statistics?
Mathematical statistics focuses on theory, while applied statistics focuses on real-world problems
What is a data set?
A collection of observations of random variables
What is the difference between a quantitative variable and a qualitative variable?
Quantitative variables can be measured, while qualitative variables cannot
What is a population in statistics?
A collection of all possible values of a variable
What is the primary focus of biostatistics?
Applying statistical methods to applications in health sciences and biology
What is an example of a qualitative variable?
Gender
What is the primary goal of summarizing data?
To understand and make sense of the data
What is a variable in statistics?
An object, characteristic, or property that can have different values
What is the difference between a sample and a population?
A sample is a part of a population, while a population is the collection of all possible values
Study Notes
Statistics and Biostatistics
- Statistics is the study and use of theory and methods for the analysis of data arising from random processes or phenomena.
- It involves making sense of data and provides fundamental tools and techniques of the scientific method.
- Statistics involves:
- Forming hypotheses
- Designing experiments and observational studies
- Gathering data
- Summarizing data
- Drawing inferences from data and testing hypotheses
Divisions of Statistics
- Mathematical Statistics: studies and develops statistical theory and methods in the abstract.
- Applied Statistics: applies statistical methods to solve real problems involving randomly generated data and develops new statistical methodology motivated by real problems.
Biostatistics
- Biostatistics is the branch of applied statistics directed towards applications in the health sciences and biology.
- It involves the application of statistical methods to solve problems in health sciences and biology.
Data and Variables
- Data: observations of random variables made on the elements of a population or sample.
- Data can be quantities, numbers, or qualities, attributes measured or observed, and collected and/or analyzed.
- A collection of data is often called a data set.
- Variables:
- Can be quantitative (measurable): heart rate, heights, weight, age, size of tumor, volume of a dose.
- Can be qualitative (categorical): gender, race, drug name, disease status.
Populations and Samples
- A population: the collection or set of all of the values that a variable may have.
- A sample: a part of a population.
Learn the basics of statistics, including data analysis, experiment design, and hypothesis testing. Understand the divisions of statistics and its applications.
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