PPt Stats Flashcards
What is “data”?
- A collection of information that describes the results of our experiment
- A way to relate the dependent (response) variable, to the independent (explanatory) variable
What is a mean?
The average of a data set
What is Standard deviation?(R)
The square root of the variance
What is variance? (R^2)
- A measure of precision, the inherent variation or uncertainty in a data set
- Your R^2 tells you how much of the variation in your dependent variable can be explained by your independent variable, vs. Just being due to random change
- If R^2 = 1 then 100% of you patterns are due to the explanatory variable
Bar Charts
Used to display means — NOT raw data
Line Graphs
Used to display raw data over time
Scatter plot
Useful in displaying raw data over time
Histogram
- Useful in displaying groups of data
- Useful in showing the distribution of our data
Pie Chart
- Used to display ratios of raw data
- Very good for visualizing categorical differences
- Not so great from a stats perspective
T Tests
- Outcomes are not independent of each other
- T-statistic
(Mean of group 1 - Mean of group 2)/ sqrt(variance of group 1/sample size of group 1) + (variance of group 2/ sample size of group 2))
What do t-tests tell us?
If there is significant statistical difference between the means of two groups
P values
P values tell us how confident we can be in the relationship we’ve found between our independent and dependent variables
What p value is considered significant for our purposes?
0.05 unless you are comparing more than 2 groups
How do we know if our data is significant?
- P-Values — the probability that our data is or isn’t random
- What is our degrees of freedom
2.5 how many categories we have (1), for 2 categories df=1, and with a 95% confidence interval we compare our p-value to P = 0.05 - If our P-value < 0.05 the data is significant
- Visually
- Statistically
Chi Square Review
- “Either or data”
- Outcomes are independent of each other
- Our null hypothesis would predict that both categories react equally to the explanatory variable