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Cohen’s d formula
If the confidence interval does not include the value of zero effect, it can be assumed that there is
a statistically significant result.
IF YOU CHANGE ONE VALUE IN A SAMPLE, MEAN
CHANGES
IF YOU ADD / REMOVE AN OBSERVATION TO / FROM A SAMPLE, MEAN
CHANGES, UNLESS THAT OBSERVATION HAS THE VALUE OF THE MEAN.
IF YOU MULTIPLY/DIVIDE ALL VALUES IN A SAMPLE BY A CONSTANT,
THE MEAN WILL ALSO BE MULTIPLIED/DIVIDED BY THAT CONSTANT.
IF YOU ADD / SUBTRACT A CONSTANT TO ALL VALUES IN A SAMPLE,
YOU ADD / SUBTRACT THAT SAME CONSTANT FROM THE MEAN.
THE MEDIAN (MD):
IS A VALUE FROM A SAMPLE OR A POPULATION DIVIDING ALL OBSERVATIONS INTO TWO EQUAL HALVES. MEDIAN CAN BE AN AVERAGE OF TWO VALUES WHEN A SAMPLE OR A POPULATINO HAS AN EVEN NUMBER OF OBSERVATIONS.
How to solve it?
y REPRESENTS
VALUES OF A DEPENDENT VARIABLE
x REPRESENTS
VALUES OF AN INDEPENDENT VARIABLE
ŷ REPRESENTS
PREDICTED VALUES OF D.V.
e IS A
RESIDUAL TERM
REGRESSION LINE IS A SET OF ALL
ŷ
a IS AN INTERCEPT TERM:
A VALUE OF y, WHEN x = 0
a=
B COEFFICIENT IS
THE EFFECT OF X ON Y
COEFFICIENTS DO NOT REPRESENT RELTIVE STRENGTH OF EFFECTS, BECAUSE
SIZE OF B DEPENDS NOT ONLY ON THE STRENGTH OF EFFECT, BUT ALSO ON MEASUREMENT UNITS.
TO OBTAIN RELATIVE COMPARISSON OF EFFECT SIZE WE NEED TO Z STANDARDIZE ALL OF OUR VARIABLES.
r kvadratu formulė
ASSUMPTIONS OF REGRESSION ANALYSIS
- Linearity: the relationship between X and the mean of Y is linear.
- Independence: observations are independent of each other.
- Homoscedasticity: variance of residuals is the same for all values of X.
- Normality of residuals: for any fixed value of X, Y is normally distributed
What are the effect sizes of Cohen’s D?