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OPIM 5103 Statistics Jan Stallaert Professor OPIM

OPIM 5103 Statistics Jan Stallaert Professor OPIM

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Page 1: OPIM 5103 Statistics Jan Stallaert Professor OPIM

OPIM 5103 Statistics

Jan Stallaert

Professor OPIM

Page 2: OPIM 5103 Statistics Jan Stallaert Professor OPIM

Educational Goals for the Course

• “Poets”– Learn some basic

principles of data analysis.– Learn enough so that you

will know what your consultant is telling you.

• “Engineers”– Sharpen quantitative skills.– Practice explaining

technical material by helping non-technical people in your group.

Both groups should get something out of this class.

Page 3: OPIM 5103 Statistics Jan Stallaert Professor OPIM

Technical Goal

• Understand Multiple Regression– Relationships between variables.

• Is weight or length more important for determining a car’s gas mileage?

– Predict one variable using others.• What profit should you expect when building a house

with X sq. ft. and Y bedrooms.– Evaluate performance in the face of mitigating

circumstances.• Set production goals for subordinates with different staff

sizes, regional economic conditions, etc.

Page 4: OPIM 5103 Statistics Jan Stallaert Professor OPIM

From here to there...

Looking at data

Graphs

Numerical Summaries

Thinking about a process

Probability

What happens in the future?Inference

Making guesses

Testing theories

Data Collection

Can we generalize our results?

Did one thing “cause” another?Relationships:

two variables

Correlation

Regression

Relationships: several

variables

Multiple regression

Page 5: OPIM 5103 Statistics Jan Stallaert Professor OPIM

Class Resources

• Textbook– Does a better job explaining

theory.– Not as many examples.

• PowerPoint presentation– Usually available before our

meetings

• Lectures– My chance to explain what the

reading is supposed to say.

• Homeworks/Examples– Most of your learning occurs

here.

Page 6: OPIM 5103 Statistics Jan Stallaert Professor OPIM

Intro to MS Excel

• I assume you know how to:– Create formulas in cells– Copy, cut and paste cells within a workbook– Make simple charts

• E.g., Pie charts, bar charts– Have the Data Analysis Add-in installed– Do basic formatting

• E.g., numbers, percentages, etc.

Page 7: OPIM 5103 Statistics Jan Stallaert Professor OPIM

Statistical Methods

• Descriptive statistics– Collecting and describing data

• Inferential statistics– Drawing conclusions and/or making decisions

concerning a population based only on sample data

Page 8: OPIM 5103 Statistics Jan Stallaert Professor OPIM

Inferential Statistics

• Estimation– e.g.: Estimate the population

mean weight using the sample mean weight

• Hypothesis testing– e.g.: Test the claim that the

population mean weight is 120 pounds

Drawing conclusions and/or making decisions concerning a population based on sample results.

Page 9: OPIM 5103 Statistics Jan Stallaert Professor OPIM

Looking at Data

• Example:– House Data

Page 10: OPIM 5103 Statistics Jan Stallaert Professor OPIM

Types of Data

Categorical(Q ualitative)

Discrete Continuous

Num erical(Q uantitative)

D ata

Page 11: OPIM 5103 Statistics Jan Stallaert Professor OPIM

Displaying Numerical Data

• Histogram example

Histogram

0

5

10

15

20

Bin

Fre

qu

ency

Page 12: OPIM 5103 Statistics Jan Stallaert Professor OPIM

Displaying Numerical DataHistogram Portfolio A

02468

101214161820

-15 -5 5 15 25 35 45 More

Fre

qu

ency

.00%

20.00%

40.00%

60.00%

80.00%

100.00%

120.00%

Histogram Portfolio B

02468

101214161820

-15 -5 5 15 25 35 45 More

Fre

qu

ency

.00%

20.00%

40.00%

60.00%

80.00%

100.00%

120.00%

.00%

20.00%

40.00%

60.00%

80.00%

100.00%

120.00%

-15 -5 5 15 25 35 45 More

Portfolio A

Portfolio B

Page 13: OPIM 5103 Statistics Jan Stallaert Professor OPIM

EXCEL Tutorial: Histograms

• Here’s a PDF document

Page 14: OPIM 5103 Statistics Jan Stallaert Professor OPIM

Displaying Bivariate Numerical Data

• Scatterplots

Price / Square Footage

-

50.000

100.000

150.000

200.000

250.000

- 500 1,000 1,500 2,000 2,500 3,000

Squar e f eet

price

Page 15: OPIM 5103 Statistics Jan Stallaert Professor OPIM

Displaying Categorical Data

• Example: bar chart, pie chart, Pareto diagram

House Styles

36%

23%

41% Cape Cod

Two Story

Ranch

Page 16: OPIM 5103 Statistics Jan Stallaert Professor OPIM

Displaying Categorical Data

• Example: bar chart, pie chart, Pareto diagram

39

25

44

0

5

10

15

20

25

30

35

40

45

50

Cape Cod Two Story Ranch

Page 17: OPIM 5103 Statistics Jan Stallaert Professor OPIM

Displaying Categorical Data

• Example: bar chart, pie chart, Pareto diagram

44

39

25

0

5

10

15

20

25

30

35

40

45

50

Ranch Cape Cod Two Story

Page 18: OPIM 5103 Statistics Jan Stallaert Professor OPIM

Displaying Bivariate Categorical Data

• Contingency table

Style vs. basement    

style 0 1Grand

Total

0 14 25 39

1   25 25

2 3 41 44

Grand Total 17 91 108

Basement

Page 19: OPIM 5103 Statistics Jan Stallaert Professor OPIM

EXCEL Tutorial: PivotTables

• Here’s a PDF document