Stats Flashcards

1
Q

between experimental designs

A

different participants in each condition

so difference between groups

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2
Q

within subjects

A

the same participants in each condition

difference between treatments

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3
Q

similarities of how experiments are ran both between and within

A

nonexperimental conditinos held constant
dependent variabel measured identically
different formula used in statistical tests for these designs

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4
Q

what are factorial designs

A

designs with

  • one dv
  • two or more independent variables (unlike t-tests and one way ANOVA)
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5
Q

when are factorial designs needed

A

we suspect more than one iv is contributing to a dv

ignoring a dv detracts from the explanatory power of our experiments

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6
Q

what do factorial designs tell us

A

allow us to explore complicated relationsips between ivs and dvs

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7
Q

what is a main effect

A

how IVs factors individually affect the DV

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8
Q

what is an interaction

A

how IVs combine to affect the DV

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9
Q

limitations of between subjects design

A

participant variables

lots of participants required

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10
Q

limitations of within subjects design

A
practice effect (lack of naeivity)
longer testing sessions
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11
Q

assumptions in mixed factorial ANOVA

A
mix of between and within subject assumptions:
-interval/ ration (scale in spss)
normal distribution
homogenity of variance
sphericity of covariance
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12
Q

how to test for normal distribution assumption

A

examine histogram

conduct a formal test of normality - Kolmogorov-Smirnov test

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13
Q

how to test for homogenity of variance assumption

A

eyeball SDs

Levene’s test

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14
Q

how to test for sphericity of covariance

A

Mauchly’s test

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15
Q

rules of mixed factorial ANOVA

A

identify straight away the between and within IV
use between subject formulae for between-subject effects and within for within-subject effects
if there is a conflict (eg interactions) use the within

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16
Q

how to report mixed factorial ANOVA

A

F(between group df, within or error df here)=F-value, p=

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17
Q

what are tests of association

A

tests the relationships between variables

usually performed on continuous variables

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18
Q

examples of tests of association (eg parametric, non-parametric etc

A
pearson's correlation (parametric)
spearman's correlation (nonparametric)
point-biserial correlation
simple linear regression
multiple regressions
19
Q

what do tests of association tell us

A

they tell us whether variables covary with other variables

20
Q

what limits us in tests of association (methodological)

A

without expreimental manipulation, we cannot infer causation

21
Q

what do scatterplots do

A

typically show relationships between pairs of variables

  • data from each variable are plotted on separate axis
  • each point represents one pair of observations at each measure point
22
Q

what does the direction of the cloud of points in a scatterpoint tell us

A

an indication of the direction of the relationship

23
Q

what is the spread and what does it tell us in a scatter plot

A

how close the points are to forming a line

gives an indication of the strength of a relationship

24
Q

Assumptions when running pearsons correlation

A

-we should be looking for a linear relationship between variables
check the scatterplot, if it shows a clear non-linear relationship, do not run a pearson’s correlation
-parametric tests assumes interval/ratio data
-normal distribution
-data should be free of statistical outliers

25
why does data have to be normally distributed to run pearsons how to check
involves calculating means and SDs only appropriate if data is normally distributed plot and inspect a frequency distribution of scores for each variable can take some skew
26
why must outliers be excluded from analysis in pearsons
outliers have a disproportionate influence on the correlation statistic or correlation coefficient r
27
facts about correlation coefficients
range from -1 to 1 no units same for xand y as y and x positive value indicates as one value increases, so does the other negative value indicates as one variable increases, the other decreases how close a value is to -1 or +1 indicates how close the two variables are to being perfectly linearly related
28
how to estimate r values
split scatterplot with means for each variable count number of points in each quadrant positive correlation will populate the positive quadrants more than the negative ones, and vie versa
29
how to set up to calculate r values
plot the raw values against one another scaling problems - different means and SDs we don't care about means, SDs, units, only relationships -plot z-transformed (standardised x and y values no scalling or unit problems
30
r=... in words
the adjusted average of the product of each standardised x-y coordinate pair
31
how to report correlation
r(df)=r value,p=
32
limitations of correlation
it is not the same as causation | link may be coincidental or there may be a third variable involved
33
what is regression
a family of inferential statistical tests tests of association make prediction about data used when causal relationships are likely
34
why cant we just use correlationi instead of regression
if interested in a causal relationship, you may be interested in how much to intervene correlation does not give you that information
35
what does regression show us
``` unstandardised relationship between outcome (Y) and predictor (X) variables using calculations of the intercept (a) and gradient (b) expressed in the form Y=aX+b ```
36
if your predictor value in regression is 0, you can expect your outcome variable to equal..
a
37
assumptions in regression
``` linearity interval/ratio data normally distributed free of outliers homoscedasticity - residuals need to have the same degree of variation acorss all predictor variable scores ```
38
what are residuals
the difference between the actual outcome score and the predicted score outcome
39
opposite or homoscedasiticity
heteroscedasticity
40
problems with predictors when carrying out regression analysis
predictor variables are which are highly correlated with one another (show multicollinearity) are problematic be cautious when interpretin multiple regression where predictor variable correlations >.80 (or
41
talk through the three graphical tests of homoscedaticity
histogram - bars should approximately fit the curve scatterplot-points should follow along the diagonal regression (standardised) scatterplot - points should form a non-descript cloud
42
how to report reression
check descriptives and correlations check that predictor and outcome variables show a linear relationship check that homoscedacity assumption is not violated report the R^2 (proportion variance explained) in the text report coefficients in a table
43
multiple regressions
predicting one outcome variable from more than one predictor variable Y=a+b1X1+b2X2 etc
44
three ways we could carry out multiple regressions
order predictors entered in - simultaneous = all predictors entered at the same time - hierarchical = predictors are entered in a pre-defined order. used when regressions are informed by well-defined theory - stepwise = predictors are entered in an order driven by how well they correlate with the outcome. not used as it is a relatively unstable method