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Unformatted text preview: Click to edit Master subtitle style Introduction to Statistical Describing Process Quality Dr. Don T. Phillips Spring Semester 2010 Click to edit Master subtitle style Introduction to Statistical Basic Statistical Definitions Accuracy The degree of uniformity and closeness around a desired value Precision The degree of variability of observations Click to edit Master subtitle style Introduction to Statistical Measurement Scales Nominal Scale Data values are simply labels or identifiers Ordinal Scale Properties of Nominal, but a ranking exists Interval Scale Properties of Ordinal, but a unit of measurement exists which can be used to describe the relationship or intervals between points Ratio Scale Properties of Interval, but there is a zero point which exists for the data, which implies a positive and negative domain. Introduction to Statistical Basic Definitions Sample A collection of measurements selected from some larger source or population . Probability Distribution A mathematical model that relates the value of the variable with the probability of occurrence of that value in the population. Random Variable variable that can take on different values in the population according to some random Introduction to Statistical Basic Concepts Population of Random Variables Discrete or Continuous Infinite or Finite The Population is composed of Members Population Members have attributes or values which describe them Sample of size n x 1 x 2 x 3 X n 1 x n Sample Mean Sample Variance Ma x Mi n Mo de Sample Estimators Population Estimators Sample Mean Sample Variance Ma x Min Mod Sample Space Members of the sample space are sometimes called Elements Elements possess values A collection of common values Events are Usually described By Probabilities, And are determined By an Experiment Introduction to Statistical Simple Events and Compound Events Simple Events are usually associated with a single population. And the values are determined by an experiment from only one population Compound Events can be determined from a single population, but are usually defined by combinations of events from multiple populations Example 1 A population consists of a large number of ball bearings We design an Experiment to observe the diameter of each ball bearing The possible outcomes are: (1) Diameter <= 10 cm (2) Diameter > 10 cm but< 20 cm (3) Diameter >= 20 cm The Events are (1) Too small (2) acceptable (3) Too large Introduction to Statistical...
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This note was uploaded on 10/12/2010 for the course ISEN 314 taught by Professor M during the Spring '10 term at Texas A&M.
 Spring '10
 M

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