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Statistics Fundamentals and Applications

Statisticsintro

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Page 1: Statisticsintro

Statistics

Fundamentals and Applications

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Classifications

DESCRIPTIVE STATISTICS

it is the process of organizing data effectively with the aid of graphical or textual presentation

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Classification

INFERENTIAL STATISTICS

Statistics concerned about making intelligent guesses about future events based on existing data

- Concerned with obtaining information about the characteristics of a population based on some sample

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Population – the collection of all elements of interest being studied

Sample – a subset of a population

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Data – facts that are collected, organized and analyzed.

Variable – Characteristic of the subject being studied. Examples: height, weight, name, sales, student number, etc.

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What are the variables presented in the table?

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Classification of Variables

Independent Variable – characteristics that influences an outcome, or influences the outcome of another variable.

Dependent variable – a characteristic which is affected or influenced by another characteristic

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What is the dependent variable?

What are the independent variables?

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Scales of Measurement

• Nominal Scale – characteristics that serve as LABELS for identification

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Scales of Measurement

Ordinal Scale – characteristics that has the function of a nominal data but such characteristics can be ranked

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Scales of Measurement

Interval Scale – measurements that maintain the characteristics

of an ordinal dataIntervals of observation can be expressed in

terms of a fixed measureArithmetic operations can be applied to such

measurements

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Scales of Measurement

Ratio scale – measurements that have the following characteristics

They can be rankedRatio between two observed values yield a

meaningful informationA Zero measurement means NONE

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Scales of Measurement

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Classification of Data/Variable

Numeric and Non-numeric data (Quantitative and non quantitative data)

Continuous Variables and Discrete Variables

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Data Collection (How are data collected)

Surveys (sample surveys)Existing collection of data (obtain data from data

which are already collected)Experimental studies (conduct experiments)Observational studies ( Observe the subject

without influencing them)

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Sampling Techniques

Random Sampling – a sampling where every member of the population has an equal chance of being included in the sample.

- Drawing lots- Table of random numbers- Systematic sampling- Stratified random sampling

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Sampling Techniques

Non-Random SamplingVolunteer samplingJudgement sampling (targeted sampling)Convenience sampling