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The Nature of Probability and Statistics

The Nature of Probability and Statistics. Chapter 1 Sections 1-2 Pg 6-8. Learning Intentions. Classify data at the nominal, ordinal, interval, and ratio level. Levels of Measurement. 4 Levels Nominal level of measurement Ordinal level of measurement Interval level of measurement

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The Nature of Probability and Statistics

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  1. The Nature of Probability and Statistics Chapter 1 Sections 1-2 Pg 6-8

  2. Learning Intentions • Classify data at the nominal, ordinal, interval, and ratio level

  3. Levels of Measurement • 4 Levels • Nominal level of measurement • Ordinal level of measurement • Interval level of measurement • Ratio level of measurement

  4. Measurement Levels • Level 1: Nominal level of measurement • Classifies data into mutually exclusive (non overlapping) categories in which no order or ranking can be imposed on the data • Examples- male or female, political parties, zip codes, school subjects, marital status

  5. Measurement Levels • Level 2: Ordinal level of measurement • Classifies data into categories that van be ranked; however precise differences between the ranks do not exist • Examples: letter grades, judging a contest, rating scale, ranking sports figure

  6. Measurement Levels • Level 3: Interval level of measurement • Ranks data, and precise differences between units of measure do exist; however, there is no meaningful zero • Examples: IQ test, temperature, SAT score

  7. Measurement Levels • Level 4: Ratio level of measurement • Possesses all the characteristics of interval measurement, and there exists a true zero. In addition, true ratios exist when the same variable is measured on two different members of the population • Examples: height, weight, time, salary, age

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