ANOVA Flashcards

1
Q

We use ANOVA instead of multiple t-tests to control the

A

Error rate (familywise error)

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2
Q

What type of error can you make from familywise error?

A

Type 1 - you think there’s an effect when there isn’t

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3
Q

Independent groups ANOVA the level of measurement for the IV is

A

Nominal/caregoric

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4
Q

Independent ANOVA the level of measurement for the DV is

A

Interval

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5
Q

ANOVA produces an ………statistic

A

F

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6
Q

ANOVA compares the

A

Systematic variance to the unsystematic variance

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7
Q

What does k represent?

A

Number if groups

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8
Q

Instead of n-1 for different ANOVA what do we have to do???

A

Take the number of groups I.e. K-3 (3groups)

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9
Q

One way ANOVA assumptions

A

Interval or ratio measurement for DV
Scores randomly sampled from pops if interest
Scores are independent (participants not in multiple groups)
Scores on DV normally distributed
Homogeneity of variance

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10
Q

What test tests homogeneity of variance?

A

Levenes

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11
Q

If levenes test is not sig variances are assumed

A

Equal

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12
Q

If levenes test is sig than variances are assumed

A

Unequal

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13
Q

If normality violated what non parametric test would u use?

A

Kruskal-Wallis

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14
Q

If homo of variance is violated what tests would u use?

A

Brown-forsythe or welch f

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15
Q

What is the grand mean

A

The mean outcome variable of all groups

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16
Q

The bigger the diff between the group means the bigger the difference between the model and the

A

Grand mean

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17
Q

Total variance is the

A

Total sum of squares

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18
Q

Model sum of squares is when the variance is calculated

A

Between groups

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19
Q

Residual sum if squares is where the variance is calculated

A

Within groups

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20
Q

ANOVA simply analyses the

A

Variance in scores to determine the source of that variance

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21
Q

How to calculate SD?

A

Take each score minus the mean. Add up all and the square them

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22
Q

To get the sum of squares SST total we…

A

Take each score from the mean, square it and add them all up

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23
Q

How do you calculate sum of squares SSM for the model?

A

Mean of each group minus the grand mean. Square each of the differences. Then multiply each by the n of participants in that group

24
Q

How to calculate sum of squares residual SSR?

A

Sum of squares total SST minus the Model Sum of Squares SSM

25
How many types of degrees of freedom are there with ANOVA?
3
26
Between groups ANOVA df calculated by
k-1 (k=n of groups)
27
Within groups ANOVA df calculated
N-k (k= n of groups, n = total sample size)
28
How do you work out the within groups df?
N (total sample) - k (n of groups)
29
To calculate the mean squares we
Take the SSM and divide by its df
30
How is F Calculated
F = MSM divide by MSR
31
What happens if F is greater than 1?
Indicates the experimental manipulation has some effect above and beyond the effect of extraneous factors
32
If F is sig in an ANOVA it indicates that there are
Differences among group means that cannot be attributed to error
33
Sig F does not tell us
How big these differences are or if they have practical importance
34
Eta squared is just
R squared
35
Eta squared tells us about the
Effect size in %
36
Observed power tells us
The % at which we would expect to get the same result if the study was replicated
37
Power depends on
Effect size Alpha level Sample size
38
ANOVA tell about
The overall effect. Not between each group etc
39
Ways to make comparisons btwn groups in an ANOVA
Priori comparisons | Post-hoc comparisons
40
Priori comparisons are comparisons between group means are devised
Before data is collected and the ANOVA performed
41
Examples of priori comparisons
Multiple independent groups t-tests Linear contrasts Nonferrous t Sidak test
42
Most common priori comparison
Bonferroni
43
What do you do with bonferoni?
Take alpha and divide by 3 (amount of groups)
44
Post hoc comparisons are conducted between groups
AFTER data collected. Look at means and noted which group means appear diff
45
Common post-hoc tests
``` Fischers least sig diff Student-Newman-keuls tests Tukeys The Ryan einot Gabriel welch Q procedure Scheffe test Dunnets test ```
46
Post hoc with equal variances assumed generally use
Tukey or REGWQ
47
Post hoc unequal variances use
Games howell
48
Factorial designs are diff because they look at 2 or more
IVs
49
In factorial designs each level of every factor is
Paired with each level of every other factor
50
Factorial designs allow us to establish if
IVs interact with one another. Does the effect of an IV depend on another IV? Ie does learning time and learning setting depend on each other?
51
A 2x2 ANOVA has
Two IVs
52
Factorial designs are also
Mixed designs. Comprise of at least one within subjects factor and at least one between subjects factor. Ie new versus old method
53
Mean square is the
Sum of squares divided by its degrees of freedom
54
What is a box whisker plot?
Graphically depicts groups of numerical data through quartiles (used this in 1012 assign)
55
Box whisker plots don't show the
Mean