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Statistics with Stiles. 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. Intuition vs. Empiricism.
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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.
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 .
Let’s Test This Statistical Strategy! • Find a Partner • Decide who is going to be the experimenter and who will be the subject • Experimenter will need to take out a folder or a book to hide important information from the subject. • Calculate how often you won when you switched.
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%. Descriptive vs. Inferential
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 ?
Measures of Variability • Range- difference in high/low • Standard Deviation- square root of variance (measure of variance from the mean) • Packed together or dispersed?
Using Standard Deviation to your Advantage!Top 10 Rushing Leaders (2000)
Ranked Order of Rushers • Who is the most consistent? • Davis • Who is the most erratic? • Dillon
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!
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
Basic Stats-Measurement Scales • Nominal (name, categorize) • Ordinal (serial position) • Interval Scale (temperature) • Ratio Scale (weight)