Statistics refers to the collection of methods for planning experiments, obtaining data, and then analyzing, interpreting and drawing conclusions based on the data
The term "statistics" came from the Latin phrase "ratio status" which means study of practicalpolitics or the statesman’sart
In the middle of the 18th century, the term "statistik" was used, defined as "the political science of several countries"
Statistics is a scientific discipline consisting of theory and methods for processing numerical information that one can use when making decisions in the face of uncertainty
Universe: collection of observational units under consideration
Population: the set of all possible values of the variable
Parameter: a descriptive measure of the population
Sample: a subset of the population
Statistic: a descriptive measure of the sample
AimsofStatistics: to uncover structure in data to explain variation descriptively and inferentially
Correct statistical process leads to correct, valid, reliable information
Published data, survey results, and research output are sources of information used in statistics
Everyday we use news and information sources to gather facts needed in makingdecisions
Statistics is essential in various fields like agriculture, economics, health, physical science, and education
Statistics aims to uncover structure in data to explain variation descriptively and inferentially
InferentialStatistics - methods with the analysis of a subset of data leading to predictions or inferences about the entire set of data
Variables vs. Data:
A variable is something whose value can vary and is a characteristic being measured
Examples of variables include age, sex, and blood type
A data value is the "realization" obtained upon measurement
Examples of data values are 54 years, female, and blood type A
Types of Variables:
Qualitative variables describe characteristics
Quantitative variables represent amounts
Discrete variables can assume a finite number of values
Continuous variables can assume an infinite number of values within an interval
Exercise:
Sex is a qualitative variable
Age is a quantitative variable
Height is a quantitative variable
TypesofLocation (urban, rural) is a qualitative variable
AcademicGrade is a qualitative variable
LevelofPain (low, moderate, high) is a qualitative variable
Level of Measurements:
Nominal scale has no order or distance
Ordinal scale has order but no distance
Interval scale has order and distance but no unique origin
Ratio scale has order, distance, and a unique origin
Research Variables:
Factors, parameters, attributes, or qualities being measured or recorded
Examples include sex, age, height, weight, and color
Variables can be independent and dependent
Independent variable is changed or controlled by the experimenter and has a direct effect on the dependent variable
Dependent variable is being tested and measured in an experiment, dependent on the independent variable
Other Names for Independent and Dependent Variables:
Independent variable is also known as exposure, explanatory, or manipulated variable
Dependent variable is also known as control, outcome, or response variable
Independent and Dependent Variables:
Independent variable is manipulated and causes an effect
Dependent variable is measured and shows the effect of the independent variable
Objective:
To determine the effect of bio-fertilizer "x" on plant growth
Objective:
To determine if there is a relationship between students' characteristics and the time they spend online