1 Introduction to Stat
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Transcript of 1 Introduction to Stat
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*TOPIC 1: INTRODUCTION
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*
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**is a branch of mathematics dealing with the collection, organizing, analysis, interpretation &
presentation of masses of numerical data.
*=>meaningful conclusions can be drawn from them.
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*
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**Descriptive statistics (learn about the data)
*Inferential statistics (learn about the population-assumption)
Whats the DIFFERENCE?
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**Techniques that take the raw scores from a distribution and summarize them in a form
that is more manageable.
*characteristics of the data = described in simple terms.
*Methods = summarize, organize, simplify data.
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**Include the construction of graphs, charts & tablesand the calculation of various descriptive measures
such as average (MEANS) and measure of variation
(STANDARD DEVIATION).
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**Other name = statistical induction.*Comprises the use of statistics to make
inferences concerning some unknown aspect of
a population.
*mathematical tools to make forecasts and projections by analyzing the given data.
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*
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*Descriptive statistics*To describe the basic features of the data in a
study.
*To present quantitative descriptions in a manageable form.
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*Inferential statistics*To study samples and then make generalizations
about the population from which they were
selected.
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**Preliminary descriptive analysis of sample > choose the appropriate inferential method.
*Descriptive Statistics = *performed on a sample & on a population*To examine & explore the data
*Inferential Statistics =*An inference is made about the population based on
the samples data
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*VARIABLES AND
DATA SETS
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*A variable is property of an object or event that can take
on different values. It is a
characteristic associated
with each unit in a
population
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*Constant:
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*Discrete vs Continuous variable
*Quantitative data can be distinguished in terms they are discrete or continuous.
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*
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*Continuous Variable
*A variable that consists of numbers whose values, at least in theory has no restrictions.
*Example, weights of female statistics students, reaction time, standardized test score
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*Continuous or Discrete??
*Cooking time for pasta-c*IQ score-c*Age -d*Population in Parit Raja-d*Speed of jetliner-c
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**Quantitative Data*Qualitative Data
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**Data is quantitative if the observations or measurements made on a given variable of a sample or population have
numerical values.
*Example: height, weight, number of children, blood pressure, current, voltage.
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**is discrete if the corresponding data values take discrete values.
*Example : number of children, number of cars.
*is continuous if the data values take continuous values. *Example: speed, distance, time, pressure.
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**Data is qualitative if words, groups and categories represents the observations or measurements.
*Example: colors, yes-no answers, blood group.
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*Qualitative or Quantitative ?
*Race*Age*Family size*Academic major*IQ Score
*Net Worth (RM)*Favorite sport*Gender*Temperature
*Political preference
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**Nominal*Ordinal*Interval*Ratio