branch of science that deals with collection, organization,
presentations, analysis, and
interpretation of numerical data to make better decisions.
Statistics
2 Division of Statistics:
Descriptive Statistics
Inferential Statistics
collecting, organizing, summarizing, and presenting data to describe group characteristics of data.
Descriptive Statistics
logical process to predict or inference from sample
analysis to generalized conclusions
Inferential Statistics
characteristics of objects, people, or events that does not vary
Constant
Variable
variables that takes on numerical values representing amount of quantity.
- age, height, test scores, weight,
prices of cars, numbers of cars
owned, annual income, market
sales, stock prices.
- can be added, subtracted
Quantitative Variables
assume values only at specific points on scale of values with gaps in between; obtained by counting
(countable)
Discrete Variables
assume any of an infinite number of values and belongs to a continuous series.
- between any two values of the
variable, an indefinitely large
number of in-between values may
occur.
Continuous Variable
Qualitative/Categorical Variables
can be made only in
two categories; yes or no,
defective/non-defective,
present/absent
Dichotomous
can be made in more
than two categories such as
educational attainment, nationality,
religion, type of colleges, regions,
brand of soft drinks, name of
companies, level of job performance
Multinomial
numerical index
describing characteristics of a
population
Parameter
numerical index describing a
characteristic of a sample.
Statistic
consists of all the
members of the group to draw
conclusions (universe)
Population
portion/part of the
population of interest selected for
analysis.
Sample
collection of information
from elements of population/sample
Survey
survey that includes every
element of the target population
Census
process of
determining the value or label of a
particular experimental unit.
Measurement
Level of measurement where it just counts, no measurement and no scales. Not graded, ranked, scaled. (names/categories)
Nominal Scale
ordering of categories
Ordinal Scale
shows order of cases into categories indicating exact
differences
Interval Scale
possesses all
characteristics of interval scale
Ratio Scale
4 Levels of Measurement
Nominal
Ordinal
Interval
Ratio