EXAM 2 Flashcards
(124 cards)
measures of central tendency
mean, median, and mode
When might it be more appropriate to use a median as a measure of central tendency of a distribution rather than the mean?
When there are outliers
X is…
a sample statistic
u (mew) is…
the corresponding population parameter
measures of variability
variance, standard deviation, range
linear regression
finding the best-fitting line
regression coefficients
slope and intersect
y =
a + bX
b =
slope
a =
intercept
positive slope
positive or direct relationship
negative
negative or inverse relationship
Pearson product moment correlation coefficient ( r )
-1 < r < 1
2 pieces of info tells us if pos or neg
- The sign of r tells us whether there is a positive or
negative relationship. - r^2 tells us the proportion of variance in Y that is attributable to X (strength of the relationship)
When r does not equal +/- 1.0:
- Only a portion of the variability in one variable is related to the variability of the other
- of one variable from the other will be imperfect
r is a…
sample statistic
P(RHO) is..
the corresponding population parameter for r
Testing the significance of r..
- Is r sufficiently different from 0 for us to conclude that ρ ≠ 0?
- If the p-value is < level of significance (usually .05), conclude that ρ ≠ 0
- r(43) = -0.53, p = .002
Multiple Correlation/Multiple Regression
Y = a + bX
Y = a + b1X1 + b2X2 + b3X3 + … + bnXn
- allows you to take more predictors into correlation
- typically linear
nonlinear regression
data not in a straight line so formula is more complicated
partial correlations and third variables
“partial put” the effects of the third variable
ex) pos. correlation between a city’s ice cream sales and drownings in city pools
- both are related to temperatures
spurious relationship
when 2 variables are correlated but not causally related, but related by coincidence
a correlation is..
just another piece of evidence that contributes to our understanding of something, not an end in itself
measurement
assigning numbers or labels to observations to represent amounts or categories