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Statistics with Stiles
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Hello Favorite Class! Write down the number of pennies I can drop into the cup at the front of the room without spilling any water.
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Intuition vs. Empiricism
Intuition- understanding without apparent effort, quick and ready insight seemingly independent of previous experiences or empirical knowledge. (gut feeling) Empiricism emphasizes the role of experience and evidence .
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Would anyone like to volunteer to win some money?
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Envelope Demo Explained
Movie scenes explain the stats problem.
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Let’s Test This Statistical Strategy!
Class Wide Data Gathering Demo
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Descriptive vs. Inferential
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%. Statistically Significant: How likely a given result occurred by chance alone. Since we can rarely study an entire population, we study a sample of the population and by inference apply that result to the entire population. p<.05" means that the probability of an event occurring by chance is less than 5%.
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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 ?
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Measures of Variability
Range- difference in high/low Standard Deviation- square root of variance (measure of variance from the mean) Packed together or dispersed?
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Using Standard Deviation to your Advantage
Using Standard Deviation to your Advantage! Top 10 Rushing Leaders (2000)
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Ranked Order of Rushers
Who is the most consistent? Davis Who is the most erratic? Dillon
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Correlations (Co-relation)
r = (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!
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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 A = 0 B = -.3 C = .5 D = -.7 E = .9 F= -.99 Scatter Plot D Scatter Plot E Scatter Plot F
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