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Analyzing and Interpreting Continuous Data Using JMP®: A Step-by-Step Guide by

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Chapter 2. Overview of Statistical Concepts and Ideas

  • 2.1 Why Statistics? 24

  • 2.2 Measurement Scales, Modeling Types, and Roles 28

    • 2.2.1a Nominal Scale 29

    • 2.2.1b Ordinal Scale 29

    • 2.2.1c Interval Scale 29

    • 2.2.1d Ratio Scale 29

    • 2.2.2 Which Scale? 30

    • 2.2.3 Responses and Factors 31

  • 2.3 Statistical Inference: From a Sample to a Population 34

    • 2.3.1 Random Sampling 38

    • 2.3.2 Randomization 42

  • 2.4 Descriptive Statistics and Graphical Displays 44

  • 2.5 Quantifying Uncertainty: Common Probability Distributions 55

    • 2.5.1 Normal Distribution 59

  • 2.6 Useful Statistical Intervals 65

    • 2.6.1 Confidence Interval for the Mean 67

    • 2.6.2 Prediction Interval for One Future Observation 67

    • 2.6.3 Tolerance Interval to Contain a Given Proportion p of the Sampled Population 68

    • 2.6.4 What Does Confidence ...

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