research methods psy2023 Flashcards
(45 cards)
what should the answers of pearsons correlation coefficient range between
r and -1 -> 1
how to work out sum of xy, sum of x and y squared
xy -> sum of the product of each x*y
sum x/y squared -> sum of each x squared individually
what is y = a + (b * x) used for
simple linear regression
best values go into these in order to predict later scores
relationship between a and b and b1 and b0
a may be b0 and b may be b1
the equation and process is still the same
may be displayed as y= b0 + b1x
what are residual values
the difference between an observed and expected value when predicting scores in linear regression
calculate observed-fitted
how to predict values in simple linear regression
put back into equation y=a + (b * x)
multiple correlation: how to work out
prop of variability in Y explained by x1 (r2)
p of v in y explained by x2 (r2)
p of v in y explained by x1 and x2(r2)
y and x1 = r01 squared
y and x2 = r02 squared
x1 ans x2 = multiple correlation = rsquared equation
what do you need to work out do do the equation in multiple correlation
r01, r02, r12 and their squares
when is r12 used in multiple correlation
only the equation, it is not proportion of variability in y explained by x1 and x2 together
how to work out a, b, sa, and sb in sobel test
a = effect of x on m (dv=m)
b = effect on m on y (dv = y)
sa and sb of the standard errors
what do you need to know in sobel before doing the equation
a, b, a squared, b squared
sa, sab, sa squared and sb squared
make sure negatives are removed when squaring minus numbers
how to use lookup table in correlation coefficient
degrees of freedom/numbers on left is N
how to assess bias
risk -> avoiding systematic error
control
selection, performance, detection bias and reporting bias
how do you use literature to support a mediation model
need 3 relationships
predictor -> outcome
predictor -> mediator
mediatory -> outcome
types of mediation
full: entirety of association between y and y is explained by m
partial: some of association between x and y explained by m
types of probability based sampling
random
stratified random -> stratify into homogenous groups then simple random
cluster -> natural sampling unit is a group (secondary schools)
systematic -> every nth person from a sampling frame (every 10th to enter website)
non probability sampling types
convenience
quota sampling - first 20
snowball - referrals
judgement - based on judgement, sample from representative subgroup
errors of coverage - sampling
populations of inferences -> who the conclusions are for
target pop - pop of inference - disregarded groups
frame pop - portion of target pop that may be studied
coverage error is the difference between frame populations and population of inference
how to reduce coverage error
obtain as complete as sample frame as possible, or be frameless
post stratifying - weight based on population of inference
assumptions for regression models
relationships are linear
errors assumed to be independent (random scatter), normally distributed and with common varience (scatter similar to all points with no obvious patterns)
how to test significance of linear regression
test null hypothesis
use one sample t test
if a straight line is suitable to model the data
need slope of regression line to be 0
what is the meaning of r squared
the proportion of variability in percentage that measures the proportion of the variance in a dependent variable that is explained by the independent variable(s) in a regression model
what the the normality tests
kolmogrov-smirnov and shapiro-wilk
need p values to be non-significant to show that there is no evidence for them not to be normally distributed
need normal distribution
what are we interested in in mediation
a - whether a direct effect of x on y exists
b - whether indirect effect of x on y via m exits
c - whether an additional effect of x on y exists having allowed for m