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QM 2610 Statistical Methods I

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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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slide1

QM 2610

Statistical Methods I

slide2

QM 2610

Statistical Methods I

Descriptive Statistics

Probability

Statistical Inference

slide3

STATISTICAL INFERENCE

population

parameters

Random sample

sample

statistics

slide4

Types of Data

Quantitative (Numerical)

Qualitative (Categorical)

slide5

Types of Data

Quantitative (Numerical)

Discrete

Continuous

Qualitative (Categorical)

slide6

Types of Data

Quantitative (Numerical)

Discrete

Continuous

Qualitative (Categorical)

Levels of Data Measurement

General Case:

{

}quantitative

{

}qualitative

highest Ratio

Interval

--------

Ordinal

lowest Nominal

types of data
Types of Data

Quantitative

Qualitative

types of data levels of data
Types of Data/Levels of Data

Ratio

Quantitative

Interval

Qualitative

Ordinal

Nominal

slide9

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?

slide10

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?

slide11

Classify the data obtained with the following questions.

_____ 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

slide12

Classify the data obtained with the following questions.

_____ 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

slide13

_____ 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

_____ 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

slide14

_____ 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

Types of Data

Quantitative (Numerical)

Qualitative (Categorical)

Levels of Data Measurement

highest Ratio

Interval

--------

Ordinal

lowest Nominal

slide15

_____ Q3. What is your favorite physical education activity?

[1] baseball

[2] basketball

[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

slide16

_____ Q3. What is your favorite physical education activity?

[1] baseball

[2] basketball

[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

slide17

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

play football?

Types of Data

Quantitative (Numerical)

Qualitative (Categorical)

Levels of Data Measurement

highest Ratio

Interval

--------

Ordinal

lowest Nominal

slide18

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

play football?

Types of Data

Quantitative (Numerical)

Discrete

Continuous

Qualitative (Categorical)

Levels of Data Measurement

highest Ratio

Interval

--------

Ordinal

lowest Nominal

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