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10 Cards in this Set

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  • Back

Measuring the strength of linear correlation:


r, r^2, range, 0

r = Correlation Coefficient


r^2 = Coefficient of determination


- it expresses the strength of the relationship between x and y variables


Range is from -1 to 1


If R is 0, there is not correlation

Use Scatterplots to show relationships between

Numerical Variables

Three Types of Correlation Coefficients

1. Pearson Product Moment


2. Spearman's Rank


3. Kendall's Tau

3 Goals of linear regression and correlation

- See if there is a relationship between the two variables


- Find line of best fit


- Estimate strength of relationship between variables


Homoscedasticity vs. Heteroscedasticity

Homo: constant variance around the regression line


Hetero: uneven variance

Correlation vs. Regression

C: 2 random measurement variables


R: Only dependent variable is random


C: opening a case study


R: further investigating a case study


C: Don't have to think about cause and effect

Paired T-test (Seen more in Bio than the T-test)

Use the paired t-test when you have one measurement variable and two nominal variables


-Works great with sets of data that multiple pairs of observation on the same subject over time


- Compares the mean difference between two samples

Autocorrelation

Refers to a correlation between a series of numbers arranged over time. Ex: If today is rainy, it is more likely for tomorrow to be rainy.

T-test

Method of testing the mean of a normally distributed population when the population's standard deviation is unknown



- Small sample


- Use when you have one measurement variable and a theoretical expectation of what the mean should be like

If t-stat is greater than t-crit...


If t-stat is less than t-crit...

1. Null hypothesis is rejected


2. Null hypothesis not rejected