statistics. write down the number of pennies i can drop into the cup at the front of the room...

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Statistics

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Intuition vs. Empiricism Empiricism emphasizes the role of experience and evidence.experience evidence This is your fact finding perspective. Give me proof, evidence. Intuition - understanding without apparent effort, quick and ready insight seemingly independent of previous experiences or empirical knowledge. (gut feeling)

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Page 1: Statistics. Write down the number of pennies I can drop into the cup at the front of the room without spilling any water

Statistics

Page 2: Statistics. Write down the number of pennies I can drop into the cup at the front of the room without spilling any water

Write down the number of pennies I can drop

into the cup at the front of the room without spilling any water.

Page 3: Statistics. Write down the number of pennies I can drop into the cup at the front of the room without spilling any water

Intuition vs. Empiricism•Empiricism emphasizes the role of experience and evidence .•This is your fact finding perspective. Give me proof, evidence.

•Intuition- understanding without apparent effort, quick and ready insight seemingly independent of previous experiences or empirical knowledge. (gut feeling)

Page 4: Statistics. Write down the number of pennies I can drop into the cup at the front of the room without spilling any water

Would anyone like to volunteer to win

some money?

Page 5: Statistics. Write down the number of pennies I can drop into the cup at the front of the room without spilling any water

Let’s Test This Statistical Strategy!

Class Wide Data Gathering Demo

1 student is subject1 student is

experimenter

Video clip

Page 6: Statistics. Write down the number of pennies I can drop into the cup at the front of the room without spilling any water

Descriptive vs. Inferential

• Descriptive– Summarizes a set of data,

makes it easy to interpret.

– %, averages

– r = correlation coefficient

– Standard Deviation

• Inferential– Allows us to make

decisions or reach conclusions about data.

– Statistically Significant or Chance? (p < .05)

– The probability of an event occurring by chance is less than 5%.

Page 7: Statistics. Write down the number of pennies I can drop into the cup at the front of the room without spilling any water

Measures of Central Tendency• Mode- most frequent• Median- middle most• Mean- average of set scores• Frequency distributions-(organized list)

» Can be misleading, know which measure of average is being used.

Positive/Negative Skew ?

Page 8: Statistics. Write down the number of pennies I can drop into the cup at the front of the room without spilling any water

Measures of Variability

• Range- difference in high/low

• Standard Deviation- square root of variance (measure of variance from the mean)– Packed together or dispersed?

Page 9: Statistics. Write down the number of pennies I can drop into the cup at the front of the room without spilling any water
Page 10: Statistics. Write down the number of pennies I can drop into the cup at the front of the room without spilling any water

Using Standard Deviation to your Advantage!Top 10 Rushing Leaders (2000)

Page 11: Statistics. Write down the number of pennies I can drop into the cup at the front of the room without spilling any water

Ranked Order of Rushers

• Who is the most consistent?– Davis

• Who is the most erratic?– Dillon

Page 12: Statistics. Write down the number of pennies I can drop into the cup at the front of the room without spilling any water

Correlations (Co-relation)

• r = -1.0 (strong negative correlation)↑↓

• r = +1.0 (strong positive correlation)↑↑ or ↓↓

• 0 = No Correlation

• Correlation coefficients help us determine the direction and strength of a relationship.

• Correlation does NOT imply causation!!

• Correlations may be used to predict!

Page 13: Statistics. Write down the number of pennies I can drop into the cup at the front of the room without spilling any water

Identify each of the scatter plots.r = -.99 r = -.7 r = 0 r = -.3 r = .5 r = .9

Scatter Plot A Scatter Plot B Scatter Plot C

Scatter Plot D Scatter Plot E Scatter Plot F