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© Buddy Freeman, 2015 QM 2610 Statistical Methods I

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© Buddy Freeman, 2015 QM 2610 Statistical Methods I Descriptive Statistics Probability Statistical Inference

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© Buddy Freeman, 2015 population parameters sample statistics STATISTICAL INFERENCE Random sample

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© Buddy Freeman, 2015 Types of Data Quantitative (Numerical) Qualitative (Categorical)

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© Buddy Freeman, 2015 Types of DataQuantitative (Numerical) Discrete Continuous Qualitative (Categorical)

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© Buddy Freeman, 2015 highest Ratio Interval -------- Ordinal lowestNominal Levels of Data Measurement Types of Data Quantitative (Numerical) Discrete Continuous Qualitative (Categorical) } quantitative { } qualitative { General Case:

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© Buddy Freeman, 2015 Types of Data

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© Buddy Freeman, 2015 Types of Data/Levels of Data

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© Buddy Freeman, 2015 Classify the data obtained with the following questions. _____ Q1. How many pairs of tennis shoes do you own? _____ Q2. How high is your vertical leap measured in inches? [1] less than 12 inches [2] at least 12 inches but less than 24 inches [3] at least 24 inches but less than 36 inches [4] at least 36 inches but less than 48 inches [5] at least 48 inches _____ Q3. What is your favorite physical education activity? [1] baseball [2] basketball [3] football [4] soccer [5] softball [6] tennis [7] volleyball [8] OTHER _____ Q4. What is the best temperature (in F ) in which to play football?

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© Buddy Freeman, 2015 Which questions yield qualitative (categorical) data? Which questions yield quantitative (numerical) data? Which questions yield nominal level data? Which questions yield ordinal level data? Which questions yield at least interval level data? Which questions yield data that is discrete? Which questions yield data that is continuous?

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© Buddy Freeman, 2015 Classify the data obtained with the following questions. _____ Q1. How many pairs of tennis shoes do you own? highest Ratio Interval -------- Ordinal lowestNominal Levels of Data Measurement Types of Data Quantitative (Numerical) Qualitative (Categorical)

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© Buddy Freeman, 2015 Classify the data obtained with the following questions. _____ Q1. How many pairs of tennis shoes do you own? highest Ratio Interval -------- Ordinal lowestNominal Levels of Data Measurement Types of Data Quantitative (Numerical) Discrete Continuous Qualitative (Categorical) At least interval

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© Buddy Freeman, 2015 highest Ratio Interval -------- Ordinal lowestNominal Levels of Data Measurement Types of Data Quantitative (Numerical) Qualitative (Categorical) _____ Q2. How high is your vertical leap measured in inches? [1] less than 12 inches [2] at least 12 inches but less than 24 inches [3] at least 24 inches but less than 36 inches [4] at least 36 inches but less than 48 inches [5] at least 48 inches _____ Q2. How high is your vertical leap measured in inches? [1] less than 12 inches [2] at least 12 inches but less than 24 inches [3] at least 24 inches but less than 36 inches [4] at least 36 inches but less than 48 inches [5] at least 48 inches Without the categories, it is numerical. With the categories, it is qualitative.

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© Buddy Freeman, 2015 highest Ratio Interval -------- Ordinal lowestNominal Levels of Data Measurement Types of Data Quantitative (Numerical) Qualitative (Categorical) _____ Q2. How high is your vertical leap measured in inches? [1] less than 12 inches [2] at least 12 inches but less than 24 inches [3] at least 24 inches but less than 36 inches [4] at least 36 inches but less than 48 inches [5] at least 48 inches

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© Buddy Freeman, 2015 highest Ratio Interval -------- Ordinal lowestNominal Levels of Data Measurement Types of Data Quantitative (Numerical) Qualitative (Categorical) _____ Q3. What is your favorite physical education activity? [1] baseball [2] basketball [3] football [4] soccer [5] softball [6] tennis [7] volleyball [8] OTHER

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© Buddy Freeman, 2015 highest Ratio Interval -------- Ordinal lowestNominal Levels of Data Measurement Types of Data Quantitative (Numerical) Qualitative (Categorical) _____ Q3. What is your favorite physical education activity? [1] baseball [2] basketball [3] football [4] soccer [5] softball [6] tennis [7] volleyball [8] OTHER

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© Buddy Freeman, 2015 _____ Q4. What is the best temperature (in F ) in which to play football? highest Ratio Interval -------- Ordinal lowestNominal Levels of Data Measurement Types of Data Quantitative (Numerical) Qualitative (Categorical)

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© Buddy Freeman, 2015 highest Ratio Interval -------- Ordinal lowestNominal Levels of Data Measurement Types of Data Quantitative (Numerical) Discrete Continuous Qualitative (Categorical) _____ Q4. What is the best temperature (in F ) in which to play football?

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