Nothing Special   »   [go: up one dir, main page]

Introductory of Statistics (Chapter 1)

Download as docx, pdf, or txt
Download as docx, pdf, or txt
You are on page 1of 2

Introductory of Statistics

(Introduction of Statistics)

Chapter I: Getting Started and Random Samples

What is Statistics?
 The science of collecting data, organizing data, summarizing and presenting data,
planning and performing studies and experiments, analyzing results, interpreting
results, drawing conclusions, and presenting data/results.
 Being able to discover something about a large population by only taking a relatively
small sample from the population:
 Without having to know anything about underlying laws or equations that govern a
certain situation.

Two Types of Statistics


 Descriptive Statistics – organizing, picturing, and summarizing data from samples or
populations,

 Inferential Statistics – using data from a sample to draw conclusions about the
population.

Statistics is a broad term


 Probability - also the foundation on which statistics is built
 Sampling theory
 Estimation
 Inference
 Decision Theory
 Game Theory
 Classification
 Prediction
 Modelling
 Etc.

Basic Concepts

Types of Studies
 Observational Study – analysis of data that has been collected without interference
 Experimental Design – analysis of data collected from an experiment where the
condition/input variables have been controlled/designed by the experimenter.

Data
 Individuals – the people or objects included in the study.
 Variable – a characteristic of the individual to be measured or observed.
 Population data (census) – data collected from every individual of interest.
 Sample data - data collected from only some of the population of interest.
 Random sample – members of a population selected such that has the same chance of
being selected.

Characteristics (means, standard deviation, range, etc.)


 Parameter – a numerical measure that describes a characteristics/aspect of the entire
population.
 Statistics – a numerical measure that describes a characteristic/aspect of a sample.

Parameter versus Statistics


 Mean – if population mean, then it’s a parameter. If mean of sample, then it is
statistics
 Median
 Range

Two Types of Data


 Qualitative – categorical data: labels/categories only (names, phone numbers)
 Quantitative – values that can be interpreted as numbers (addition, subtraction, etc.)
Discrete – gaps between values (countable finite or infinite)
Continuous – no gaps between values (uncountable infinite)

Levels of Measurement (lowest to highest)


 Nominal - measurement of qualitative data (categorization)
 Ordinal – only order is known (ranks, letter grades)
 Interval – the distance between values is meaningful, but not ratios
 Ratio – has a natural zero, so ratios are meaningful
Note: we always provide the highest level when asked

You might also like