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# QM 2610 Statistical Methods I - PowerPoint PPT Presentation

QM 2610 Statistical Methods I. QM 2610 Statistical Methods I. Descriptive Statistics. Probability. Statistical Inference. STATISTICAL INFERENCE. population parameters. Random sample. sample statistics. Types of Data. Quantitative (Numerical) Qualitative (Categorical).

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Statistical Methods I

Statistical Methods I

Descriptive Statistics

Probability

Statistical Inference

population

parameters

Random sample

sample

statistics

Quantitative (Numerical)

Qualitative (Categorical)

Quantitative (Numerical)

Discrete

Continuous

Qualitative (Categorical)

Quantitative (Numerical)

Discrete

Continuous

Qualitative (Categorical)

Levels of Data Measurement

General Case:

{

}quantitative

{

}qualitative

highest Ratio

Interval

--------

Ordinal

lowest Nominal

Quantitative

Qualitative

Ratio

Quantitative

Interval

Qualitative

Ordinal

Nominal

_____ 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

[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?

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?

_____ Q1. How many pairs of tennis shoes do you own?

Types of Data

Quantitative (Numerical)

Qualitative (Categorical)

Levels of Data Measurement

highest Ratio

Interval

--------

Ordinal

lowest Nominal

_____ Q1. How many pairs of tennis shoes do you own?

Types of Data

Quantitative (Numerical)

Discrete

Continuous

Qualitative (Categorical)

Levels of Data Measurement

highest Ratio

Interval

--------

Ordinal

lowest Nominal

At least interval

[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

_____ Q2. How high is your vertical leap measured in inches?

Without the categories,

it is numerical.

With the categories,

it is qualitative.

Types of Data

Quantitative (Numerical)

Qualitative (Categorical)

Levels of Data Measurement

highest Ratio

Interval

--------

Ordinal

lowest Nominal

[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

Types of Data

Quantitative (Numerical)

Qualitative (Categorical)

Levels of Data Measurement

highest Ratio

Interval

--------

Ordinal

lowest Nominal

[1] baseball

[3] football

[4] soccer

[5] softball

[6] tennis

[7] volleyball

[8] OTHER

Types of Data

Quantitative (Numerical)

Qualitative (Categorical)

Levels of Data Measurement

highest Ratio

Interval

--------

Ordinal

lowest Nominal

[1] baseball

[3] football

[4] soccer

[5] softball

[6] tennis

[7] volleyball

[8] OTHER

Types of Data

Quantitative (Numerical)

Qualitative (Categorical)

Levels of Data Measurement

highest Ratio

Interval

--------

Ordinal

lowest Nominal

_____ Q4. What is the best temperature (in F activity?) in which to

play football?

Types of Data

Quantitative (Numerical)

Qualitative (Categorical)

Levels of Data Measurement

highest Ratio

Interval

--------

Ordinal

lowest Nominal

_____ Q4. What is the best temperature (in F activity?) in which to

play football?

Types of Data

Quantitative (Numerical)

Discrete

Continuous

Qualitative (Categorical)

Levels of Data Measurement

highest Ratio

Interval

--------

Ordinal

lowest Nominal